Answer:
y-6=-7(x-3)
Step-by-step explanation:
m=y2-y1/x2-x1
m=-8-6/5-3
m=-14/2
m=-7
y-y1=m(x-x1) point slope
solve for x in [0, π]: 2 cos(x) > sec(x)
The value for x is 7π/6 and 11π/6.
sin2xsecx+2cosx=0
(2sinxcosx)(1/cosx)+2cosx=0
sinxcosx/cosx+2cosx=0
So,
2sinx+2cosx=0
2(sinx+cosx)=0
(2(sinx+cosx))²=0
4(sin²x+cos²x+2sinxcosx)=0
hence,
(sin²x+cos²x+2sinxcosx)/4=0/4
sin2x+cos2x+2sinxcosx=0
1+sin2x=0
sinx=−1/2
=7π/6 and 11π/6
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Quiz Active
1
2
B
8
The figure shows five points. A point has been translated right and up.
D
9 10
Based on the graph, which statements about the points could be true? Check all that apply.
The point (5, 10) has not been translated in the given figure.Hence this statement is false.
The graph shows five points.
A point has been translated right and up.
Now, the statements that are true based on the graph are as follows:
The point (9, D) has been translated right and up.Answer: False
There is no information given about point (9, D).
So, we cannot say anything about the translation of point (9, D).
The point (1, 8) has been translated right and up.Answer: True
As explained above, the point (1, 8) has been translated 7 units to the right and 2 units up to get the new point (8, 10). So, this statement is true.
The point (2, 9) has been translated right and up.Answer: False
The point (2, 9) has not been translated in the given figure.
So, this statement is false.
Statement 4: The point (8, B) has been translated right and up.Answer: True
The point (8, B) has been translated 1 unit up in the given figure. So, this statement is true.
The point (5, 10) has been translated right and up.Answer: False
The point (5, 10) has not been translated in the given figure.
So, this statement is false.
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Select all that apply. Given: x = 5, y = 6, z = 8. Which of the following are false?
1. x == 5;
2. x < (y + 2);
3. z <= 4;
4. y > (z-x);
5. z >= (y+x)
6. y <= 6
a. 1 b. 2
c. 3 d. 4
e. 5 f. 6
The false statements are:
c. 3. z <= 4
d. 4. y > (z-x)
Statement 3 (z <= 4) is false because z is given as 8, which is greater than 4. Therefore, z is not less than or equal to 4.
Statement 4 (y > (z-x)) is false because when we substitute the given values, we get 6 > (8-5), which simplifies to 6 > 3. This is not true since 6 is not greater than 3.
The remaining statements are true:
Statement 1 (x == 5) is true because x is given as 5.
Statement 2 (x < (y + 2)) is true because when we substitute the given values, we get 5 < (6 + 2), which simplifies to 5 < 8.
Statement 5 (z >= (y+x)) is true because when we substitute the given values, we get 8 >= (6+5), which simplifies to 8 >= 11.
Statement 6 (y <= 6) is true because y is given as 6.
Therefore, the false statements are c. 3 and d. 4.
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PLEASE HELP!!! MATH FINAL
Answer:
He Won 26 Box trolls and 11 Pikachus
Step-by-step explanation:
You subtract 37-11 which would get you 26
An angle in which the two sides form a straight line is called a straight angle. A
straight angle measures 180°. A straight angle can be made by putting right
angles together. You can think of a straight angle as a half turn, so that you are
facing in the opposite direction after you are done.
180°
A straight angle is a 180-degree angle formed by two sides that create a straight line.
It represents a complete reversal of direction and plays a fundamental role in geometry and practical applications involving angles and spatial relationships.
A straight angle is an angle that measures 180 degrees.
It is formed by two sides that are opposite to each other and together form a straight line.
The concept of a straight angle can be visualized as a half turn, where you rotate or pivot around a point by 180 degrees, resulting in a complete reversal of direction.
The measurement of 180 degrees for a straight angle is derived from the fact that a complete circle is divided into 360 degrees.
Since a straight angle covers half of the circle, it occupies 180 degrees.
In geometry, a straight angle can be formed by combining two right angles.
A right angle measures 90 degrees, so when two right angles are placed next to each other, they create a straight angle with a total measurement of 180 degrees.
This relationship highlights the complementary nature of right angles within a straight angle.
Understanding the concept of a straight angle is essential in geometry and helps in analyzing and classifying various angles.
By recognizing and identifying straight angles, we can apply geometric principles and solve problems involving angles, lines, and shapes.
In real-life applications, knowledge of straight angles can be useful in areas such as engineering, architecture, and navigation.
It allows for accurate measurement and calculation of angles, ensuring precise positioning and alignment in various structures and systems.
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If a pharmacist combined 50-ml portions of thre syrups having specific graveties of 1.10, 1.25, and 1.32, what would be the specific gravity of the combined product?
The specific gravity of the combined product is 1.22
Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.
Given,
The total quantity of portion= 50 ml
Specific gravities of the three syrups = 1.10,1.25 and 1.32
Then,
The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)
= 1.22
Hence, the specific gravity of the combined product is 1.22.
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If+the+frequency+of+ptc+tasters+in+a+population+is+91%,+what+is+the+frequency+of+the+allele+for+non-tasting+ptc?
The frequency of the allele for non-tasting PTC in the population is 0.09 or 9%.
To determine the frequency of the allele for non-tasting PTC in a population where the frequency of PTC tasters is 91%, we can use the Hardy-Weinberg equation. The Hardy-Weinberg principle describes the relationship between allele frequencies and genotype frequencies in a population under certain assumptions.
Let's denote the frequency of the allele for taster individuals as p and the frequency of the allele for non-taster individuals as q. According to the principle, the sum of the frequencies of these two alleles must equal 1, so p + q = 1.
Given that the frequency of PTC tasters (p) is 91% or 0.91, we can substitute this value into the equation:
0.91 + q = 1
Solving for q, we find:
q = 1 - 0.91 = 0.09
Therefore, the frequency of the allele for non-tasting PTC in the population is 0.09 or 9%.
It's important to note that this calculation assumes the population is in Hardy-Weinberg equilibrium, meaning that the assumptions of random mating, no mutation, no migration, no natural selection, and a large population size are met. In reality, populations may deviate from these assumptions, which can affect allele frequencies. Additionally, this calculation provides an estimate based on the given information, but actual allele frequencies may vary in different populations or geographic regions.
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talkalot corp. incurs a cost of $350 to produce one unit of a cell phone. the company’s management has priced the product at $600 in the market. considering the technological advancement of the cell phone, customers perceive its value to be around $800. what is the economic value created in this scenario?
Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.
We can solve this by,
Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.
Product: The item that is produced, processed, or delivered for sale is known as a product.
Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,
Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.
As per the scenario, the value created is:
The value created = Perceived value - Cost Value created
= $800 - $350
The value created = $450
Therefore, the economic value created in this scenario is $450.
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Joanne cannot decide which of two washing machines to buy. The selling price of
each is $360. The first is marked down by 30%. The second is marked down by 10% with an
additional 20% off. Find the sale price of each washing machine. Use pencil and paper. Explain
why Joanne should buy the first washing machine rather than the second if the machines are the
same except for the selling price.
The sale price of the first washing machine is $__
Answer:
See belowStep-by-step explanation:
Initial price of both machines is $360
Price after 30% mark down:
360 - 30% = 360*0.7 = 252Price after 10% and then 20% mark down:
(360 - 10%) - 20% = 360*0.9*0.8 = 360*0.72 = 259.20The sale price of the first washing machine is lower:
$252 < $259.20Answer:
The sale price of the first washing machine is $252
Step-by-step explanation:
First washing machine
Given information:
Selling price = $360Marked down by 30%If the washing machine is marked down by 30%, the sale price is 70% of the original selling price as 100% - 30% = 70%.
To find the sale price, calculate 70% of $360:
\(\begin{aligned}\implies \sf 70\% \:of\: 360 & = \sf 0.7 \times 360\\& = \sf 252 \end{aligned}\)
Therefore, the sale price of Washing Machine 1 is $252.
Second washing machine
Given information:
Selling price = $360Marked down by 10% with an additional 20% off.If the washing machine is marked down by 10%, then has an additional discount of 20% applied, the sale price can be calculated by first finding 90% of the selling price, then finding 80% of the reduced price:
\(\begin{aligned}\implies \sf 90\% \:of\: 360 & = \sf 0.9 \times 360\\& = \sf 324\end{aligned}\)
\(\begin{aligned}\implies \sf 80\% \:of\: 324 & = \sf 0.8 \times 324 \\& = \sf 259.2\end{aligned}\)
Therefore, the sale price of Washing Machine 2 is $259.50.
Joanne should buy the first washing machine rather than the second, as after the discounts are applied, the first washing machine is cheaper than the second by $7.50.
A balloon attached to an atmospheric data-gathering device must be at least 1000 m high to begin recording information. Two spotters, Mary and Nathan, walk the same distance from the launch site at an angle of 70° to each other until they are 225 m apart. From these positions, they watch the rise of the balloon with instruments that record the angle of elevation. What angles of elevation must the instruments record in order for the balloon to be at the correct height for atmospheric data gathering?
The angle of elevation that the instruments have to record to be at the correct height is given as 79°
How to solve for the angle of elevationWe have 2x + 70 = 180
We have to find the value of x
2x = 110
x = 55
y/sin x = 225/sin70
This is the use of sine rule
From here we would have
y = 225(sinx/sin70)
Remember x = 55
y = 225(sin55/sin70)
y = 196.1378
tanθ = 1000/y
tan θ = 1000/196.1378
tanθ = 5.098
θ = tan⁻¹5.098
= 78.90°
Hence the conclusion is that the angle of elevation has to be 78.9 degrees for it to be at the correct height.
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Simplify the expression. 4x^10 y^-3 over 12x-2y
The expression 4x^10 y^-3 over 12x-2y is x^8 y^-2 / 3
How to solve the expression:Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
1. Eliminate terms from the denominator and numerator.
2. Combine terms that have been multiplied into a single fraction.
3. Add exponents together.
Here, (Given)
4x^10 y^-3 /12x-2y
solving the expression we get
4x^10 / 12x = x^8 / 3
y^-3 / 2y = y^-2
=> x^8 y^-2 / 3
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator).
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Consider the table below. Find the probability that a randomly selected la going to be profitable, given that it is in a rural location. Profit Loss Total
Urban location 50 38 88 Rural location 61 84 125 Total 111 132 243
The probability that a randomly selected land will be profitable, given that it is in a rural location, is 61/125 or 0.488.
The probability that a randomly selected land is going to be profitable, given that it is in a rural location, can be found using the following steps:
1. Identify the number of profitable lands in rural locations,
There are 61 profitable lands in rural locations.
2. Identify the total number of lands in rural locations,
There are 125 lands in rural locations.
3. Calculate the probability,
Divide the number of profitable lands in rural locations by the total number of lands in rural locations.
Probability = (Number of profitable lands in rural locations) / (Total number of lands in rural locations)
Probability = 61 / 125
So, the probability that a randomly selected land will be profitable, given that it is in a rural location, is 61/125 or 0.488.
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5x - 7
3x + 1
11x – 4
❤️13 each❤️✌pls and ty
What is the area of this polygon? Please help
Answer:
Step-by-step explanation:
(4+7)(3)/2=16.5
PLS HELP ASAP!!!!!!!!!!!!!!
Answer:
okay, but with what should i help?
. If Ya/n and Y2/n are the respective independent relative frequencies of success associated with the two binomial distributions b(n, P1) and b(n, P2), compute n such that the approximate probability that the random
interval (Y1/n - Y2/n) ‡ 0.05 covers pi - p2 is at least 0.80. HINT: Take p* = P° = 1/2 to provide an upper bound
for n.
we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.
To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.
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Simplify:
-75 sq rt over sq rt of 25
Answer:
\( \frac{ \sqrt{ - 75} }{ \sqrt{25} } \\ \\ \frac{ - 5625}{625} \\ \\ - 9\)
What is the product of 2x3 +9 and x3 +7?
The product of the expression is 2x⁶ + 23x³ + 63
How to determine the productFirst, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.
These algebraic expressions are also made up of mathematical operations, such as;
BracketAdditionMultiplicationDivisionParenthesesSubtractionFrom the information given, we have that;
2x3 +9 and x3 +7?
Then,
(2x³ + 9)(x³ + 7)
expand the bracket
2x⁶ + 14x³ + 9x³ + 63
add like terms
2x⁶ + 23x³ + 63
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W
3 points
A 6.7-kg turkey experiences a net force of 23.1 N. The acceleration of the turkey is
The acceleration of the turkey is 3.44 m/sec²
What is Force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Given,
Mass = 6.7kg
Force = 23.1N
What is the acceleration of turkey
Let acceleration be a
Since, we know that
Force = mass x acceleration
23.1 = 6.7 x a
23.1 / 6.7 = a
3.44 m/sec² = a
Hence, The acceleration of the turkey is 3.44 m/sec²
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2. [3pts] In the context of a simple linear regression model y = β0 + estimated by least squares with n observations, show that the LS estimator of βˆ0 is equal to the sample mean of the dependent variable.
3. [4pts] In the context of a simple linear regression model y = β0 + β1x + estimated by least squares with n observations, show that the LS estimator of βˆ1 is βˆ 1 = sample covariance between x and y sample variance ofx Most of the following questions require a proof. Please make sure you mention the assumptions used in your proofs.
The LS estimator of βˆ0 in a simple linear regression model is equal to the sample mean of the dependent variable, while the LS estimator of βˆ1 is equal to the sample covariance between x and y divided by the sample variance of x.
1. LS estimator of βˆ0:
In a simple linear regression model, the equation is y = β0 + ε, where y represents the dependent variable, β0 is the intercept, and ε is the error term. The LS estimator of βˆ0 is obtained by minimizing the sum of squared residuals (SSR). The SSR is defined as the sum of the squared differences between the observed values of y and the predicted values of y based on the model.
When we minimize the SSR, we differentiate it with respect to β0 and set the derivative equal to zero. This leads to the condition that the LS estimator of βˆ0 is equal to the value of β0 that minimizes the SSR. The value of β0 that minimizes the SSR is the one that makes the sum of the residuals equal to zero.
Since the residuals represent the differences between the observed values of y and the predicted values of y, the sum of the residuals can be interpreted as the sum of the deviations of the observed values from the predicted values. When the sum of the residuals is zero, it implies that the sum of the deviations is also zero.
Therefore, the LS estimator of βˆ0 is equal to the sample mean of the dependent variable, as the sample mean represents the average value of the dependent variable and minimizes the deviations from the predicted values.
2. LS estimator of βˆ1:
In a simple linear regression model, the equation is y = β0 + β1x + ε, where y represents the dependent variable, x represents the independent variable, β0 is the intercept, β1 is the slope, and ε is the error term. The LS estimator of βˆ1 is obtained by minimizing the SSR, similar to the LS estimator of βˆ0.
To derive the LS estimator of βˆ1, we differentiate the SSR with respect to β1 and set the derivative equal to zero. This leads to the condition that the LS estimator of βˆ1 is equal to the value of β1 that minimizes the SSR. The value of β1 that minimizes the SSR is the one that makes the sum of the products of the residuals and the corresponding values of x equal to zero.
The product of the residuals and the values of x represents the covariance between x and y, as it measures the joint variability between the two variables. The sum of these products being zero implies that the covariance between x and y is zero.
The sample covariance between x and y divided by the sample variance of x is an unbiased estimator of the population slope β1. Hence, the LS estimator of βˆ1 is given by the sample covariance between x and y divided by the sample variance of x.
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5 < -5(3x-7) Solve the inequality.
Answer:
x<2
Step-by-step explanation:
5<-5(3x-7)
divide by 5
1<-3x+7
3x<7-1
3x<6
x<2
Please help!!!
Create an equivalent expression for 18^-7 • 18^5
1. -18^2
2. 18^2
3. 1/18^-2
3. 1/18^2
For an equivalent expression for \(18^{-7}\\\) * \(18^5\\\) it is option 4 that is correct that means the equivalent expression can be seen as \(\frac{1}{18} ^{2}\).
What analogous expressions are there?Expressions that can be considered are equivalent do the same thing even when they have distinct appearances. When we get to enter the same value(s) for the same variable, two algebraic expressions that are equivalent have the same value (s).
Calculating the equivalent expression,
\(18^{-7}\\\) * \(18^5\\\)
= \(18^{-7+5}\)
=\(18^{-2}\)
= \(\frac{1}{18} ^{2}\)
What is a good example of an equivalent expression?An expression that can be considered equivalent to another phrase but then differs in appearance is the one that has the same value or worth. In algebra, we can say 2(2x – 3y + 6) is equal to 4x -6y + 12 as an example of an equivalent expression.
Which two expressions are interchangeable?When two expressions can be reduced to a single thread expression or when one of the expressions can be written in the same way as the other, they are said to be equivalent. You can also determine whether two expressions are equivalent.
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Three more than a number times six is fifteen
Answer:
3 + 2=5
5 x 6 = 15?
Step-by-step explanation:
Cost of a tie: $35.50
Markup: 30%
Discount: 20%
Tax: 5%
Answer:
40.25 i believe
Step-by-step explanation:
what is cme 303 2018
CME 303 is a course offered at Stanford University that focuses on modeling, simulation, and optimization of complex systems.
It is an introduction to the fundamentals of mathematical optimization, which deals with the problem of finding the best solution to a given problem. The course covers basic optimization theory and algorithms, including linear programming, integer programming, nonlinear programming, dynamic programming, and stochastic programming. Furthermore, it introduces optimization software packages, such as MATLAB, GAMS, and CPLEX, and how to use them for solving real-world optimization problems. It also covers the application of optimization techniques to areas such as finance, engineering, economics, and computer science.CME 303 is a course offered at Stanford University that focuses on modeling, simulation, and optimization of complex systems. The course is taught using lectures, tutorials, and computer lab assignments. In the final project, students apply the techniques learned in the course to solve a real-world problem.
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Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
HELPP PLEASE! ASAP!!
List the first number greater than 5000 that is divisible by 2, 5, and 10?
( I can’t find one that’s 5 )
Answer:
5,010
Step-by-step explanation:
Can I have Brainliest? TYSMMMMMMMMM if it is divisible by 10 it is divisible by 5. divisible by 10 is usually even
Suppose that X is a random variable with mean 20 and standard deviation 4. Also suppose that Y is a random variable with mean 40 and standard deviation 7. Find the mean and the variance of the random variable Z for each of the following cases. Be sure to show your work.
(a) Z = 40 - 5X
(b) Z = 15X - 20
(c) Z = X + Y
(d) Z = X - Y
(e) Z = -2X + 3Y
(a) The mean of Z in case (a) is -60 and the variance is 400.
(b) The mean of Z in case (b) is 280 and the variance is 3600.
(c) The mean of Z in case (c) is 60 and the variance is 65.
(d) The mean of Z in case (d) is -20 and the variance is 65.
(e) The mean of Z in case (e) is 80 and the variance is 505.
To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.
(a) Z = 40 - 5X
Mean of Z:
E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60
Variance of Z:
Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400
Therefore, the mean of Z in case (a) is -60 and the variance is 400.
(b) Z = 15X - 20
Mean of Z:
E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280
Variance of Z:
Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600
Therefore, the mean of Z in case (b) is 280 and the variance is 3600.
(c) Z = X + Y
Mean of Z:
E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60
Variance of Z:
Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65
Therefore, the mean of Z in case (c) is 60 and the variance is 65.
(d) Z = X - Y
Mean of Z:
E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20
Variance of Z:
Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65
Therefore, the mean of Z in case (d) is -20 and the variance is 65.
(e) Z = -2X + 3Y
Mean of Z:
E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80
Variance of Z:
Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505
Therefore, the mean of Z in case (e) is 80 and the variance is 505.
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-3x-11= -17 helppppppppppppppppppppp
Answer: X= -2
Step-by-step explanation: -3x -11 = -17
add 11 to both sides
which gives you -6 then you divide by negative 3x which gives you -2
Answer:
Step-by-step explanation:
3x - 11 = -17
3x - 11 + 11 = -17 +11
Simplify:
add the numbers
3x = -6
Divide both sides by the same factor:
\(\frac{3x}{3} = \frac{-6}{3}\)
Simplify (ANSWER):
x= -2