Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7
which of the following are solutions to the quadratic equation check all that apply 2x ^ 2 + 6x - 10 equals x ^ 2 + 6
Answer:
c and F
Step-by-step explanation:
2x² + 6x - 10 = x² + 6
2x² - x² + 6x - 10 - 6 = 0
x² + 6x - 16 = 0
(x + 8)(x - 2) = 0
x = -8
x = 2
so C and F
The solutions to the quadratic equation are x = -8 and 2.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given the quadratic equation so,
2x² + 6x - 10 = x² + 6
2x² - x² + 6x - 10 - 6 = 0
x² + 6x - 16 = 0
(x + 8)(x - 2) = 0
The roots are;
x = -8
x = 2
Therefore, the correct option are; C and F
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Drag each solution to the correct location on the table. Each solution can be used more than once, but not all solutions will be used.
Determine the solutions to each of the given quadratic equations.
(3x + 8)(3x + 8) = 0
(3x-8)(3x + 8) = 0
x(3x - 8) = 0
(3x-8)(3x - 8) = 0
= -8
Answer:
The answers to your questions are given below.
Step-by-step explanation:
1. (3x + 8)(3x + 8) = 0
3x + 8 = 0 or 3x + 8 = 0
3x = –8 or 3x = –8
x = –8/3 or –8/3
2. (3x – 8)(3x + 8) = 0
3x – 8 = 0 or 3x + 8 = 0
3x = 8 or 3x = –8
x = 8/3 or –8/3
3. x(3x – 8) = 0
x = 0 or 3x – 8 = 0
x = 0 or 3x = 8
x = 0 or 8/3
4. (3x – 8)(3x – 8) = 0
3x – 8 = 0 or 3x – 8 = 0
3x = 8 or 3x = 8
x = 8/3 or 8/3
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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HELP PLS!!! ANYONEEE
Answer:
5 hundredths, 5, (5x10)+(5x1/10)
Step-by-step explanation:
5 hundredth turns into 0.05
(5x10)+(5x1/10) turns into 50.5
And 5 stays 5
0.05 is the lowest
5 is in the middle
And 50.5 is the highest
Hopes this helps please mark brainliest
Alexa is preheating her oven before using it to bake. The initial temperature of the
oven is 75° and the temperature will increase at a rate of 10° per minute after being
turned on. What is the temperature of the oven 8 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Answer: i needed pointsss srry
Step-by-step explanation:
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
what is the answer to this 1.93 x 9 ????????????????????
Answer:
17.37
Step-by-step explanation:
Which Graph Represents A function ?
NEED ANSWER ASAP !!!!
Answer:
The very last one is a function
Step-by-step explanation:
The last one is a function because there are no y values that repeat. For example, If the points on one graph are like this; (1, 3) (2, 3); then it cannot be a function, the y values cannot repeat if it is a function.
To make things easier, just try to imagine vertical drawing lines through each point in every graph, if this imaginary vertical line passes more than one point in any graph, then that graph is not a function.
I hope this helps!! :D
Answer:
The last graph represents a function.
Explanation:
A function cannot be one-to-many, i.e., one value of x cannot produce multiple values of y.
In the first graph, when x = 1, y = 3 and y= -2, so it is not a function.
In the second graph, when x = 2, y = 2 and y = -2, so it's not a function.
In the third graph, when x = -3, y = 2 and y = -2, so it's not a function.
∴ In all the graphs except the last, single values of x give multiple values of y on the graph, so they are not functions.
find the measure for angle b
Jack uses triangles in the construction of bridges, such as the one shown below. A triangle has angles G, 72 degrees, and blank. The exterior angle to the blank angle is 133 degrees. What is the measure of Angle?
Answer: The answer is 61
Step-by-step explanation: did it on 2020 edg pls mark me brainliest
Answer:
61
Step-by-step explanation:
Brainliest is given for the correct answer.
A roller coaster designer decides that the first hill on a new ride will have a height of 205 feet. She wants the first hill to be twice as high as the second hill, and she wants the second hill to be 20 feet taller than twice the height of the third hill. Write and solve two linear equations to find the heights of the second and third hills.
Answer:
205 x 2=410+20=430
Step-by-step explanation:
If the sum of six consecutive odd integers is 372, what is the smallest of the six integers?
straightforward way is to write an equation x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 372 and to solve it. That unique solution "x" will be your answer. The more reasonable way is to divide 372 by 6, = 62. Then the three consecutive odd numbers in the DESCENDING order from 62 are 61, 59, 57, giving you the answer 57.
Marcus has 16 jawbreakers, 12 chocolates, and 8 sugared fruit pieces in a candy box. Which of the following graphs represents the candies in the candy box?
A.
B.
C.
D.
Answer: C
Step-by-step explanation:
The sum of a number and 4
Answer:
n+4
Hope this helps!
Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit.
(Hint: Assume that the central point of each arc is its corresponding vertex.)
The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.
To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.
First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.
In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.
Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.
Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.
Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.
Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.
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According to the quantity equation, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply. Will velocity change over time? What factors might lead to changes in velocity? Are those changes related to changes in the money supply?
Velocity is not constant over time and can be influenced by a variety of factors. Changes in velocity can have implications for the relationship between changes in the money supply and the price level, highlighting the complexity of monetary dynamics in an economy.
According to the quantity equation (MV = PQ), changes in the money supply (M) will lead directly to changes in the price level (P) if velocity (V) and real GDP (Q) remain constant. However, velocity is not necessarily constant over time and can be influenced by various factors.
Velocity represents the rate at which money circulates in the economy, indicating how quickly money is used to facilitate transactions. It is influenced by factors such as changes in consumer and business behavior, technological advancements, financial innovation, and shifts in confidence and trust in the economy.
Changes in velocity can occur due to several reasons. For example:
Changes in Transaction Patterns: Shifts in consumer preferences or business practices can alter the frequency and speed of transactions, affecting how money circulates and influencing velocity.
Financial Innovation: Advancements in payment systems, such as the rise of electronic transactions, online banking, or mobile payments, can potentially impact the velocity of money by facilitating faster and more efficient transactions.
Confidence and Economic Stability: Changes in economic conditions, inflation expectations, or financial stability can influence people's willingness to hold money, affecting velocity.
Monetary and Fiscal Policies: Changes in monetary policy, such as interest rate adjustments or changes in the money supply, can indirectly affect velocity by influencing borrowing and spending behavior.
While changes in velocity can occur independently of changes in the money supply, they can also be related. For instance, if the money supply increases without a corresponding increase in the demand for money (velocity decreases), it can put upward pressure on prices. On the other hand, if velocity increases due to changes in transaction patterns or increased economic activity, it can offset the impact of changes in the money supply on prices.
Overall, velocity is not constant over time and can be influenced by a variety of factors. Changes in velocity can have implications for the relationship between changes in the money supply and the price level, highlighting the complexity of monetary dynamics in an economy.
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Snow is piling on a driveway so its depth is changing at a rate of r(t) = 10sqrt(1 - cos(0.5t)) centimeters per hour, where t is the time in hours, 0 <= t <= 5 At time t = 0 , the depth of the snow is 20 centimeters. Use a graphing calculator and round your answer to three decimal places. What is the snow's depth at time t = 5 hours? centimeters
Answer:
58.731 cm
Step-by-step explanation:
You want the depth of accumulated snow after 5 hours if it is 20 cm at 0 hours and is increasing depth at the rate r(t) = 10√(1 -cos(0.5t)) cm/hour.
IntegrationThe attached calculator screen shows the result of the integration. The mode is set to RADians. It took this calculator just over 1 minute to provide its result to 13 significant figures.
The snow's depth at t = 5 hours is 58.731 cm.
__
Additional comment
A different graphing calculator provided the same result to 12 significant figures "instantly." That is shown in the second attachment.
When scientific calculators were rare and expensive, their capability for numerical integration was more limited. Generally one had to specify the tolerance the calculator was to use for its result. These calculators both provided the result to full calculator precision.
The exact result is 20+80(√2)sin(5/8)² ≈ 58.731216038167283412... cm.
We're not quite sure the point of an answer precise to 0.001 cm. The diameter of a snowflake may range from 0.050 to 0.500 cm.
In April, 287 people visited an amusement park. In May, 379 people visited the same amusement park. In June, twice as many people visited the amusement park as visited in April and May combined. How many people visited the amusement park in June?
Answer:
1332 i think
Step-by-step explanation:
287+379=666
666*2=1332
What is the area of the PURPLE triangle below?
Answer:
Area = 14 in²
Step-by-step explanation:
is a rectangle bisected by the diagonal forming two congruent right triangles, so AD = BC and AB = CD
Area = 1/2 b * h
Area =1/2 7 * 4
Area = 3.5 * 4
Area = 14 in²
So we have 7 in. and 4 in. so we just will mutilply It, So what we do here Is mutilply so we will do 7 x 4 = 28
So we have 28 then we mutilpy all of chocies to see which one Is 28.
A rectangle bisected by the diagonal forming two congruent right triangles, so AD = BC and AB = CD
11 x 2=22 ❌ Not 28
14 x 2 = 28 ✅ Is 28
22 x 2 = 44 ❌ Not 28
28 x 2 = 56 ❌ Not 28
Step 2:A rectangle bisected by the diagonal forming two congruent right triangles, so AD = BC and AB = CD
Area = 1/2 b * h ❌
Area = 3.5 * 4 ❌
Area = 3.5 * 4 ❌
Area = 14 in² ✅
-20 greater than or equal to 5w
Answer:
It depends is w is a negative or positive number
Step-by-step explanation:
5w could = 5 x 4 = 20 this is greater than -20
5w could = 5 x -4 = -20 this is equal to -20
hope this helps...
I need help asap, giving 30 points and brainiest!
Answer:
\(x=11\)
Step-by-step explanation:
It is a linear pair
\(7x + 12 + 8x + 3 = 180\)
\(15x + 15 = 180-15\\15x = 165\)
\(x=11\)
cho hàm tổng chi phí TC=2Q^3-11Q^2+25Q. Hãy xác định mức sản lượng tại đó chi phí cận biên cân bằng với giá thành sản phẩm.
A:11/3
B:11/4
C:11/5
D:11/2
mọi người giúp em với ạ. plz
What is the range for y=-3x^2-12x-17?
PLEASE ANSWER I WILL GIVE OUT FREE MORE POINT AND MARK BRAINIST ONLY IF YOU GOT IT RIGHT THO I WILL CHECK ! PLEASE AND THANK YOU :))))
Answer:
RANGE: y greater than or equal to -5 (b)
Graph the function
Attached
Vertex at (-2,-5)Then
y=-(3x²+12x+17)y=-(9x²+36x+51)y=-[(3x)²+2(3x)(6)+51-25+25]y=-[(3x)²+2(3x)(6)+36+25]y=-[(3x+6)²+25]y=-[(3x+6)²+5²]We know
a²+b²=(a-b)²+2abVertex form of parabola
a(x-h)²+kvertex:-
(h,k)=(-2,-5)Range:-
y≤-5
Find f(0) for the
piece-wise function.
f(x) =
if x ≤ 0
x+1 if x>0
X
f(0) = [?]
\(f(x)=x\) for \(x\leq0\), therfore \(f(0)=0\).
the first domain is true for f(0) so we substitute value of x in the first function
\(f(x) = x \\ f(0) = 0\)
Simplify the following expression:
4 + √-4 + √-9 + 7
A. 11 + 5i
B. 5 - 11i
C. 11 + √13i
D. 15 + 0i
Question 2: Benjamin rolls an ordinary six-sided dice and flips a coin. List all the possible outcomes.
Answer:
Step-by-step explanation:
Whats b squared
please help
Answer:
b^2. be squared would be b times itself
M={z / z is an integer and -2
The given set in roster method is written as {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}.
Given that, M={x : x is an integer and 2 ≤ x ≤20.
What is roster method?The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.
Now, the given set in roster method can be written as follows:
{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
Therefore, the given set in roster method is written as {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}.
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"Your question is incomplete, probably the complete question/missing part is:"
Write the given set in roster method: M={x : x is an integer and 2 ≤ x ≤20
Somebody know what’s the endpoint and midpoint?
Answer:
The point in the middle/center of the line joining two points (also known as endpoints) is called a midpoint. Given one endpoint and a midpoint, the other midpoint can be calculated using the midpoint formula.
Step-by-step explanation:
The point in the middle/center of the line joining two points (also known as endpoints) is called a midpoint. Given one endpoint and a midpoint, the other midpoint can be calculated using the midpoint formula.
Over the summer, Jasper exercised 40 minutes a day.
After school began, Jasper figures he is exercising for
90 minutes a day. What is the percent increase?
Answer:
44%
Step-by-step explanation:
40/90 when put into a decimal is 0.4 repeating. Rounding that, it is 0.44, or 44%