Factor the following trinomial
x2 + 8x – 9
Answer with step-by-step solution:
x^2+8x-9
x^2+9x-x-9
x(x+9)-(x+9)
(x+9)(x-1)
Directions: Find the inverse of each number.
Additive
-3 =
14 =
-28 =
-1/5 =
Multiplicative
2/3 =
6/18 =
5 =
11 =
Answer:
Step-by-step explanation:
Additive inverse:
-3=3
14=-14
-28=28
-1/5=1/5
Multiplicative Inverse:
2/3=3/2
6/18=18/6
5=1/5
11=1/11
Answer:
inverse of -3 is +3
inverse of 14 is -14
inverse of -28 is 28
inverse of -1/5 is 1/5
inverse of 2/3 is 3/2
inverse of 6/18 is 18/6
inverse of 5 is 1/5
inverse of 11 is 1/11
Step-by-step explanation:
Because inverse mean switch it. or opposite of digit
if plus digit then negative digit .
The function y = - 4x + 14 gives the number y of avocados you have left after making x batches of
guacamole.
A) Identify the independent and dependent variables.
B) The domain is 0, 1, 2, and 3. What is the range?
C) Is the domain discrete or continuous? Explain
Answer:
See below
Step-by-step explanation:
A. x is independent and y is dependent
B The range is 14, 10, 6, and 2
D The domain is discrete because it only includes whole avocados, and not fractional pieces.
A) Number y of avocados you have left is the dependent variable and x, number of batches of guacamole is the independent variable. B) Range is {2, 6, 10, 14}. C) Domain is discrete.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Here set A is the Domain and the set of images of A is the Range.
The given function is y = -4x + 14.
A) The variable y is depending on the value of the variable x.
So y, which represents the number of avocados left is the dependent variable and x, which represents the number of batches of guacamole made is the independent variable.
B) The domain is 0, 1, 2 and 3.
That is, the values of x are 0, 1, 2 and 3.
Values of y are :
x = 0, then y = 14
x = 1, then y = -4 + 14 = 10
x = 2, then y = -8 + 14 = 6
x = 3, then y = -12 + 14 = 2
Range is 2, 6, 10 and 14.
C) Domain of the function is discrete since it contains only certain values in the interval that is, 0, 1, 2, and 3.
Continuous domain has set of input values which consists of all the numbers in an interval.
Hence the independent variable is x and dependent variable is y. Range of the given function is the set {2, 6, 10, 14}. and the domain of the function is discrete.
Learn more about Functions here :
https://brainly.com/question/28599653
#SPJ2
Wayne graphed the following linear function on an (x,y) coordinate plane.
f(x) = -5.4x+12.6
What is the y intercept of the graph of this function ?
Answer:
12.6
Step-by-step explanation:
The y intercept means that x=0, therefore you will plug in 0 in your equation.
f(x) = -5.4x + 12.6
f(0) = -5.4(0) + 12.6
f(0) = 0 + 12.6
=12.6
During a speed dating session, men and women rated each other on five attributes: sincerity, intelligence, fun, ambition, and shared interest. A difference mean for a random sample was calculated as -0.12 by subtracting the scores in the following order: MALE RATINGS - FEMALE RATINGS. A confidence interval for this difference mean was calculated as - 1.414 < ud < 1.174. Does the SAMPLE support the idea that female ratings are higher than male ratings? Yes No Why or why not?
The confidence interval includes zero, indicating that the sample does not provide support for the idea that female ratings are higher than male ratings in the given attributes.
No, the sample does not support the idea that female ratings are higher than male ratings. The confidence interval (-1.414 < ud < 1.174) includes zero, which means that the difference mean of -0.12 is not statistically significant. A confidence interval is constructed to estimate the range of values within which the true population parameter is likely to fall. In this case, the confidence interval includes zero, indicating that there is a possibility that the true population difference mean could be zero or even favoring male ratings.
To support the idea that female ratings are higher than male ratings, the confidence interval should have been entirely positive. However, since the interval includes both positive and negative values, we cannot conclude that there is a significant difference favoring either gender. It is important to note that this conclusion is specific to the sample provided and does not necessarily reflect the entire population.
Therefore, The confidence interval includes zero, indicating that the sample does not provide support for the idea that female ratings are higher than male ratings in the given attributes.
To learn more about interval click here
brainly.com/question/32003076
#SPJ11
pls help me out I really need to sleep
Answer:
-2/3
Step-by-step explanation:
Rise= -2
Run= 3
-2/3
how many ounces of a 30% alcohol solution must be added to a 70% alcohol solution to make 50 ounces of a 40% alcohol solution?
To make 50 ounces of a 40 percentage alcohol solution, eight ounces of the 30% solution must be mixed with the 70% solution.
1. Round the two solutions' initial concentrations to the nearest tenth (30% alcohol = 0.3; 70% alcohol = 0.7).
2. Determine the combined solution's overall alcohol content
(30% + 70%): 0.3 + 0.7 = 1.
3. Multiply 50 ounces by 0.4 to get the total amount of alcohol required for a 40% solution:
50 x 0.4 = 20 ounces.
4. Determine how much 30% solution is required to reach the desired concentration. 1 divided by 20 equals 20 ounces.
5. Subtract the quantity of the existing 70% solution:
(50 ounces x 0.7)/20 ounces = 8 ounces.
6. The outcome is that 8 ounces of the 30% solution are required to create 50 ounces of the 40% solution.
The original concentrations of the two solutions must first be converted to decimals (30% alcohol = 0.3; 70% alcohol = 0.7) in order to determine how much of a 30% alcohol solution has to be added to a 70% alcohol solution to create 50 ounces of a 40% alcohol solution. The two decimals can then be added to determine the total amount of alcohol present in the combined solution: 0.3 + 0.7 = 1. In order to determine the entire amount of alcohol required for a 40% solution, multiply 50 ounces by 0.4, which results in 20 ounces. The amount of the 30% solution required to reach the specified concentration can be estimated by dividing 20 ounces by 1, which is 20 ounces. Then, 20 ounces must be divided by the amount of the 70% solution that is already present to get 8 ounces. As a result, 8 ounces of the 30% solution are required to create 50 ounces of the 40% solution.
Learn more about percentage here
https://brainly.com/question/16797504
#SPJ4
a population of 400 bacteria doubles every hour. what would the population be in 15 hours
Answer: About 317 bacteria. i belive this is the answer
Answer: I believe it is 6,553,600
Step-by-step explanation: since you said a population of bacteria doubles every hour I imagine it would go 400x2= 800 for one hour but then 800x2 for the 2nd hour and so on.
Please check the attached picture, please answer thoroughly!
The selection depends on individual needs, preferences, and the intended use of the tiny house.
a) To find the amount of space inside each house, we need to calculate the volume for each design.
House on the left:
Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³
Triangular house:
Volume of a triangular prism = (base area x height) / 2
Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²
Volume = (20 m² x 7 m) / 2 = 70 m³
b) When comparing the environmental impacts of each house, several factors need to be considered:
Positive impacts:
1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.
2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.
3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.
Negative impacts:
1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.
2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.
3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.
c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:
The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.
The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.
Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.
for more such question on intended visit
https://brainly.com/question/31252264
#SPJ8
Solve for x Show your work
Answer:
x = 12
Step-by-step explanation:
To solve this and show your work, you have to start of with the equation (3x - 6) = 30.
You then have to add 6 to both sides like this:
\((3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 \)
So then the 6 is cancelled out, and you are left with
3x = 36.
Now you just have to divide both sides by 3 like this:
\( \frac{3x}{3} = \frac{36}{3} \)
Which cancels 3 out, and you are left with
x = 12.
the cover charge for entering mandi's dance hall is $5. drinks are then $6 each. what equation, in point-slope form, will give the total cost for the cover charge and drinks?
The equation of the total cost for the cover charge and drinks in point-slope form is y = 6x + 5.
The point-slope form of a linear equation is given by -
\(y - y_1 = m(x- x_1)\)
where m is the slope and \((x_1, y_1)\) is a point on the line.
Here, the total cost for the cover charge and drinks can be represented by the equation y = mx + b, where y is the total cost, x is the number of drinks, m is the cost per drink, and b is the cost of the cover charge.
We know that the cover charge is $5 and drinks are $6 each, so, we can find the slope (m) of the equation by using the cost per drink which is m = 6.
We can also find the point \((x_1, y_1)\) by using the cover charge cost which is (0,5).
Therefore, the equation in point-slope form of the total cost for the cover charge and drinks will be -
y - 5 = 6(x-0)
y - 5 = 6x
y = 6x + 5
Where x is the number of drinks and y is the total cost i.e. cover charge + drinks.
Read more about the point-slope equation:
brainly.com/question/24907633
#SPJ4
EASY 50 POINTS! (forgot last question) Which figures demonstrate a single rotation?
Brainliest if you answer thank you
bottem left and maybe top right.
if it means a single 90 degree rotation then its only bottem left but it doesn't specify so it could also be a single 180 degree rotation for top right
7. The Majestic company increased the cost of an Astros jersey from $80 to $110. By what percentage was the price of
the Astros jersey increased?
Answer:
50%
Step-by-step explanation:
The cost = $80
Increased cost = $120
% Increase = (120-80) / 80 * 100
% Increase = 40/80 * 100
% Increase = 0.5 * 100
% Increase = 50%
So, the price of the Astros jersey increased by 50%
this is the graph of f(x). what is the value of f(2)
Answer:
C
Step-by-step explanation:
based in the graph if x=2 then y=4
Answer:
9
Step-by-step explanation:
this is the other answer if 4 isn't listed
What is the probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, i = 2, 3,. , 12?.
Answer:
0, 1/18, and 1/36
Step-by-step explanation:
For i = 2, the probability it lands on 6 is 0, because you cannot sum to 2 with a 6. The same applies to i = 3 thru i = 6.
For the probability that at least one of a pair of fair dice lands on 6 for i = 7, there are only two possible ways, the first roll is a 6 and the second roll is a 7, and the first roll is a 1 and the second roll is a 6. The total amount of ways is 6 * 6 = 36, so the total probability is 1/18. This also applies to i = 8 thru i = 11.
For i = 12, there is only one way to get 12, the first dice lands on 6 and the second dice lands on 6. Assuming the dice are indistinguishable, the probability is 1/36.
The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.
We have,
The complementary probability of "at least one die lands on 6" is "neither of the dice lands on 6."
Therefore, you need to find the probability that neither of the dice lands on 6 for each possible sum i, and then subtract that probability from 1 to get the desired probability.
Let's go through the cases:
i = 2 (only possible sum with two dice):
In this case, both dice must show a 1.
The probability of this happening on a fair 6-sided die is
(1/6) * (1/6) = 1/36.
i = 3: The combinations are (1, 2) and (2, 1).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 4:
The combinations are (1, 3), (2, 2), and (3, 1).
The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.
i = 5:
The combinations are (1, 4), (2, 3), (3, 2), and (4, 1).
The probability of any of these happening is 4 * (1/6) * (1/6) = 1/9.
i = 6:
The combinations are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).
The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.
i = 7:
The combinations are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
The probability of any of these happening is 6 * (1/6) * (1/6) = 1/6.
i = 8:
The combinations are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).
The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.
i = 9:
The combinations are (3, 6), (4, 5), and (5, 4).
The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.
i = 10:
The combinations are (4, 6) and (6, 4).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 11:
The combinations are (5, 6) and (6, 5).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 12:
The combination is (6, 6).
The probability of this happening is (1/6) * (1/6) = 1/36.
Now, sum up the probabilities for each case:
(1/36) + (1/18) + (1/12) + (1/9) + (5/36) + (1/6) + (5/36) + (1/12) + (1/18) + (1/18) + (1/36)
This simplifies to:
69/36 = 23/12
Thus,
The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ3
select the slope of the line that joins the pair of points. a. (9, 10) and (7, 2) 1 of 5. 4 b. (-8, -11) and (-1, -5) 2 of 5. select choice c. (5, -6) and (2, 3) 3 of 5. select choice d. (6, 3) and (5, -1) 4 of 5. select choice e. (4, 7) and (6, 2) 5 of 5. select choice
The required slopes are:
(a) slope = 4
(b) slope = 6/7
(c) slope = -3
(d) slope = 4
(e) slope = -5/2
We know that,
When a line passing through (x₁, y₁) and (x₂, y₂)
Then the slope of the line be,
slope (m) = (y₂ - y₁) / (x₂ - x₁)
Using this formula, calculate the slope for each given points
a. (9, 10) and (7, 2)
⇒ slope (m) = (2 - 10) / (7 - 9)
= -8/-2 = 4
So, the slope is 4.
b. (-8, -11) and (-1, -5)
⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))
= 6/7
So, the slope is 6/7.
c. (5, -6) and (2, 3)
⇒ slope (m) = (3 - (-6)) / (2 - 5)
= 9/-3
= -3
So, the slope is -3.
d. (6, 3) and (5, -1)
⇒ slope (m) = (-1 - 3) / (5 - 6)
= -4/-1
= 4
So, the slope is 4.
e. (4, 7) and (6, 2)
⇒ slope (m) = (2 - 7) / (6 - 4)
= -5/2
So, the slope is -5/2.
Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ4
Question 3 of 10
2 Points
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
5x - 4y = 1
4x - 2y = 8
O A. X = 6, y = 5
OB. x = 5, y = 6
O C. No solution
O D. More than 1 solution
SUBMIT
My R
8,160,
no solution off the bus 60th and you can get
Answer:
B.Step-by-step explanation:
2. Landon, Wes, and Tim attempted 25 basketball shots each.
Landon made 36/100 of his shots.
Wes made 2/5 of his shots.
Tim made 32% of his shots.
Who shot the best % and why?
:,)
Answer: Wes shot the best because his percentage was 40% while Landon (36%) and Tim's (32%) percentage were lower than Wes's.
Step-by-step explanation: The best way to find out who shot the best is by first changing the denominator of the fraction to 25. This way, we can compare easily.
Landon:
36/100=9/25=36%
Wes:
2/5=10/25=40%
Tim:
32%
Hope this helped! ;)
If i have 37 test left and do 6 a day how many weeks will that take me to be done
Answer:
1 week
Step-by-step explanation:
Scientists were monitoring the temperature of a solution. It began at 63°F, and the temperature changed by 8°F over the course of 6 hours. Use this information to complete this statement. The final temperature of the solution was a minimum of °F and a maximum of °F.
Answer:
minimum = 55 F
Maximum = 71 F
Step-by-step explanation:
Change means it could either go down or up.
If it goes down by 8 then 63-8 = 55 F
If it goes up by 8 then 63 + 8 = 71 F
Hope this helps!
Answer:
Step-by-step explanation:
minimum 55
maximum 71
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent
The question given is incomplete as the information about the headphones isn't given.
However, we can solve the problem by using hypothetical values.
Answer:
Kindly check explanation
Step-by-step explanation:
Given
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.
Let :
The number of defective headphones = 10
The total number of headphones on the sample = 50
To express as a ratio :
Defective headphones : total headphones
10 : 50 = 1 : 5
To express as a percentage ;
1 / 5 * 100% = 20%
Find the average rate of change
Answer:
\(\frac{3}{5\pi}\)
Step-by-step explanation:
\(\frac{f(5\pi/6)-f(0)}{5\pi/6}=\frac{3}{5\pi}\)
Is 2.99 irrational or rational?
Answer:
rational
Step-by-step explanation:
its decimal expansion terminates after 9 and it can also be represented as fraction.
Answer:
Rational
Step-by-step explanation:
Irrational numbers are numbers that cannot be written as a fraction (denominator of 1 does not count). 2.99 can easily be written as a fraction (e.g. \(\frac{299}{100}\)) and therefore is rational.
Craig and Jeff are comparing their plans for downloading songs. Craig pays a monthly fee of $5.50 and then $0.25 per song he downloads. Jeff
pays $0.80 for each song he downloads. What number of downloaded songs result in Craig and Jeff having the same monthly cost?
Answer:
10 songs
Step-by-step explanation:
Let number of songs Craig and Jeff downloaded be s
5.50 + 0.25s = 0.80s
5.50 = 0.55s
s = 10
please help me otherwise I will fail (1/2 + 1/2)* 700
Answer: 700
Step-by-step explanation:
Answer:
700
Step-by-step explanation:
copy and paste
If fx)= 6x-4, what is fx) when x= 8"
A 2
B 16
C 44
D 52
Since x = 8, you would need to plug in 8 into the x.
f(x) = 6x - 4
f(x) = 6(8) - 4
f(x) = 48 - 4
f(x) = 44
So, the correct answer would be C. 44
determine the length of AB write your answer in simplest form
Answer:AB= 4
Step-by-step explanation:
:) Big ideas
A large male giraffe needs to eat at least 75 pounds of food each day. At each feeding, the giraffe is fed 3 pounds of food. The giraffe has already consumed 24 pounds of food. How many more times x does the giraffe need to be fed? Write your answer as an inequality.
Answer:
0, hes getting too fat.
Step-by-step explanation: Dam-n fat bast-ard.
Answer:
x greater than or equal to 17
Step-by-step explanation:
75 - 24 = 51 pounds needed
3 × 17 =51
Select an equation to solve the problem. Then solve. Joaquin is saving $369 to buy a surf board. He saved $9 each week for 11 weeks. He wants to buy the surf board in 9 more weeks. How much does Joaquin need to save each week? Let m be how much money Joaquin needs to save each week. Select an equation to solve the problem. ? Solve the equation. M = Answer the question. Joaquin needs to save $ each week.
Answer:
\(9m = 270\)
\(m = \$30\)
Joaquin needs to save $30 each week.
Step-by-step explanation:
Total money required for buying a surf board = $369
Money saved every week for first 11 weeks = $9
Total money saved in first 11 weeks = 11 \(\times\) 9 = $99
Joaquin wants to buy the surf board in 9 more weeks.
To find:
Money to be saved each week for the next 9 weeks so that the surf board can be bought?
Solution:
Let the money to be saved each week for the next 9 months = $\(m\)
Total money to be saved in the next 9 months = $9\(m\)
Now, let us find the remaining amount of money to be saved by subtracting the total money saved from the cost of surf board. And then compare it with $9\(m\).
\(369 - 99 = 9m\\\Rightarrow 9m = 270\)
Solving the equation, we get:
\(m = \$30\)
Therefore, Joaquin needs to save $30 each week.
Let Y 1 ,Y2 and Y3 be independent and identically distributed random variables with expectation E[Yi ]=μ and variance V[Yi ]=σ 2
for i=1,2,3. Suppose we want to estimate the expectation μ, and we propose to combine our three observations Y 1 ,Y2 and Y3 by defining a weighted average: Yˉω =ω1 Y1+ω 2Y2 +ω3 Y3 where ω1 ,ω2 and ω3
are constants between 0 and 1 . 1 (a) Calculate E[ Y
ˉ
ω
]. What condition do the weights ω 1
,ω 2
and ω 3
need to satisfy for Y
ˉ
ω
to be an unbiased estimator for μ ? (b) Calculate V[ Y
ˉ
ω
]. Using the condition you found on (a), find the set of weights that minimize the variance of Y
ˉ
ω
. Justify your answer. Now suppose that observations Y 1
,Y 2
and Y 3
are independent and have the same mean μ, but they have different variances. Specifically, V[Y 1
]=V[Y 2
]=σ 2
and V[Y 3
]=2σ 2
a.) The weights, ω1 + ω2 + ω3 = 1. b.) The weights, V[Y_bar ω] = ω1²V[Y1] + ω2²V[Y2] + ω3²V[Y3] = ω1²σ² + ω2²σ² + ω3²σ² = σ²(ω1² + ω2² + ω3²). To estimate the expectation μ, we propose combining three independent and identically distributed random variables Y1, Y2, and Y3 using a weighted average, Y_bar ω = ω1Y1 + ω2Y2 + ω3Y3.
(a) The weights ω1, ω2, and ω3 need to satisfy the condition ω1 + ω2 + ω3 = 1 for Y_bar ω to be an unbiased estimator for μ. The expectation E[Y_bar ω] is calculated as E[Y_bar ω] = ω1E[Y1] + ω2E[Y2] + ω3E[Y3] = ω1μ + ω2μ + ω3μ = (ω1 + ω2 + ω3)μ. For Y_bar ω to be an unbiased estimator for μ, its expectation should equal μ. Therefore, ω1 + ω2 + ω3 = 1.
(b) The variance V[Y_bar ω] can be calculated as V[Y_bar ω] = V[ω1Y1 + ω2Y2 + ω3Y3]. Since Y1, Y2, and Y3 are independent, the variance of their sum is the sum of their variances. Therefore, V[Y_bar ω] = ω1²V[Y1] + ω2²V[Y2] + ω3²V[Y3] = ω1²σ² + ω2²σ² + ω3²σ² = σ²(ω1² + ω2² + ω3²). The variance of Y_bar(ω) can be calculated, and by applying the condition from (a), the set of weights that minimize the variance can be determined.
To minimize the variance, we can apply the condition from (a), ω1 + ω2 + ω3 = 1, and use a technique called Lagrange multipliers. By introducing the Lagrange multiplier λ, we form the Lagrangian L = σ²(ω1² + ω2² + ω3²) + λ(ω1 + ω2 + ω3 - 1). Taking partial derivatives with respect to ω1, ω2, ω3, and λ, we can solve the equations to find the set of weights that minimize the variance. The specific values will depend on the given values of σ² and the constraints imposed by the problem.
learn more about Lagrange multiplier here: brainly.com/question/30776684
#SPJ11