Which statement describes the translation of y = −1/5 (x + 5)2 + 2 from standard position? Standard position is when the vertex is at the origin.(1 point)

A
Moved up and to the right

B
Moved up and to the left

C
Moved down and to the left

D
Moved down and to the right

Answer:

D

Step-by-step explanation:

use the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8.9}{10.9}[/tex], hence

x = [tex]sin^{-1}[/tex]( [tex]\frac{8.9}{10.9}[/tex] ) → D

Answer:

D

Step-by-step explanation:

Answer:

10)C 18,000

11) B 130.83

12)B or C not for sure

13) D the domain is 1 < f<7 the range is 24 < c(f)<168

Step-by-step explanation:

Answer:

1563.2

Step-by-step explanation:

If you just multiply 0.3 by 10 you will get 3

Now all you need to do is write 3 or have a number which has unit place value of 3

Answer: The number in which the value of the 3 is 10 times the value of the digit 3 in 156.32 = 3

Step-by-step explanation:

The given number = 156.32

The place value of 3 in 156.32 is 3 tenth [since it the left most number after the decimal].

3 tenth can be written as [tex]\frac{3}{10}[/tex]

The number 10 times [tex]\frac{3}{10}[/tex]= [tex]10\times\frac{3}{10}[/tex]

Therefore, The number 10 times [tex]\frac{3}{10}[/tex]=3

Hence, the number in which the value of the 3 is 10 times the value of the digit 3 in 156.32 = 3

Answer:

He would make $4391.92

The constant of proportionality is 14.6

Step-by-step explanation:

If Daniel works 213 hours and makes $1820.00

(I assume that is a typo and he made 1820. not 18.20)

How much does he make per hour

$1820/213 = $8.54 per hour

Now if he works 514 hours

514 * 8.54/hour = $4391.92

y = kx, where k is the constant of proportionality

a = 14.6h,

The constant of proportionality is 14.6

Answer: The number of ballots increases by 3: 3x3=9, 9x3=27, 27x3=81...

After 10 cuts, there will be 59,049 ballots.

Answer:

p = 10t - 100

Step-by-step explanation:

Perform the indicated multiplication:  p = 10t - 100.

The equivalent form of the algebraic equation p = 5(2t - 20) is p = 10t - 100, which is a simplified linear representation of the original equation.

The student is looking for an equivalent form of the algebraic equation p = 5(2t - 20). By distributing the 5, we obtain p = 10t - 100. This is now a simplified linear equation representing the same rule as the original equation. It's also similar to manipulating a quadratic equation to find the value of t, as shown in the other examples provided. However, this linear equation doesn't require solving for t; rather, we're simply rewriting it in a more straightforward format.

Answer:

Skewed Left

Step-by-step explanation:

First we will try to draw the histogram in order to interpret its type.

Its given that from 10-20 the frequency is 0

and 20-50 there are clusters in the histogram but the peak is there at 40-50

So by visualizing the histogram which is hereby attached depicts that the histogram is skewed left as skewed histogram is one in which the frequency starts from 0 and the highest frequency occurs at the end so as is in the given problem.

Answer:

The first one.

Step-by-step explanation:

Answer: a=2 b=5 c=-7

parabola equation is y = 2x^2+5x-7 = 0

Step-by-step explanation:

Substitute (x,y) into y = a x^2 + b x + c

(2,11)      11 = 4a + 2b + c

(-1,-10)  -10 = a - b + c

(-4,5)      5 = 16a -4b + c

Solve the linear system in a, b, c

Det[{{4,2,1},{1,-1,1},{16,-4,1}}] = 54

Det[{{11,2,1},{-10,-1,1},{5,-4,1}}] = 108

Det[{{4,11,1},{1,-10,1},{16,5,1}}] = 270

Det[{{4,2,11},{1,-1,-10},{16,-4,5}}] = -378

a = 108/54 = 2

b = 270/54 = 5

c = -378/54 = -7

parabola equation is y = f(x) = 2x^2+5x-7

f(2) = 8+10-7 = 11 ✔

f(-1) = 2-5-7 = -10 ✔

f(-4) = 32-20-7 = 5 ✔

(7) is the same problem with different numbers as (4) in another question you posted: https://brainly.com/question/11799042

(8) is not correct. [tex]\mathbf u\cdot\mathbf v=(12)(-15)+(4)(-5)=-200[/tex]

(9) is not correct. The direction of the vector [tex]\langle3,4\rangle[/tex] is [tex]\theta[/tex] where

[tex]\tan\theta=\dfrac34\implies\theta=\tan^{-1}\dfrac34[/tex]

so the applied force is the vector

[tex]\mathbf F=\langle14\cos\theta,14\sin\theta\rangle=\langle11.2,8.4\rangle[/tex]

(if you're not sure how to compute the (co)sine of the inverse-tangent expression, note that a tangent of 3/4 corresponds to a right triangle with hypotenuse 5)

The object is moved 7 ft in the same direction as [tex]\mathbf F[/tex], so that its displacement is given by the vector

[tex]\mathbf d=\langle7\cos\theta,7\sin\theta\rangle=\langle5.6,4.2\rangle[/tex]

Then the work done on the object is the dot product of these two vectors,

[tex]W=\mathbf F\cdot\mathbf d=(11.2)(5.6)+(8.4)(4.2)=98\approx97[/tex]

(the discrepancy here might be coming from finding a numerical value for [tex]\theta[/tex])

(10) is correct. We can find a unit vector pointing in the direction of any vector [tex]\mathbf v[/tex] by dividing [tex]\mathbf v[/tex] by its magnitude:

[tex]\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\frac23\,\mathbf i-\frac12\,\mathbf j}{\sqrt{\left(\frac23\right)^2+\left(-\frac12\right)^2}}=\dfrac45\,\mathbf i-\dfrac35\,\mathbf j[/tex]

Answer:

x = 16/5

Step-by-step explanation:

(x-2)= -1/4(x-8)

Multiply each side by -4 to clear the fraction

-4 (x-2) = -4*-1/4 (x-8)

Distribute

-4x+8 = x-8

Add 4x to each side

-4x+4x+8 = x+4x-8

8 = 5x-8

Add 8 to each side

8+8 = 5x-8+8

16 = 5x

Divide each side by 5

16/5 = 5x/5

16/5 =x

Answer:

The correct answer is 904.1 pounds per square foot

Step-by-step explanation:

(mcgraw)

Final answer:

The radio station has 54,780 listeners now.

Explanation:

To find the number of listeners the radio station has now, we need to calculate the number of listeners it lost after changing its format. If the station lost 34% of its listeners, we can calculate the number of lost listeners by multiplying the original number of listeners by 0.34 (34%).

Lost Listeners = 83,000 * 0.34 = 28,220 listeners

To find the number of listeners the radio station has now, we subtract the lost listeners from the original number of listeners.

Number of Listeners Now = 83,000 - 28,220 = 54,780 listeners

There is only one solution to this system of equations.  The solution is where the two equations meet, which in this system is (2, 1).

Answer:

One Solution

Step-by-step explanation:

GOT IT RIGHT ON EDGE 2020

Answer:

C. The range of Liam's data set is 16

Step-by-step explanation:

Hello, my dear friend, I am sure the question you are intending should be corrected  (See below question), as well as the box plot should be uploaded (See attached the image of the box plot I uploaded for you).  

Q. The box plots show the data distributions for the number of laps two students run around a track each day. Which statement is true about the data?

Options:

A. The median of both data sets is 10.

B. The median of both data sets is 14.

C. The range of Liam’s data set is 16.

D. The range of Sumat’s data set is 17.

If this is the case, then the box plot shows the following data.

The median of Liam's data is 10, the range is (20-4) =16

The median of Sumat's data is 14, the range is (22-3) =19

The correct answer will therefore be:

C. The range of Liam's data set is 16  

Can you answer this:

The box plots show the data distributions for the number of laps two students run around a track each day.

Which statement is true about the data?

The difference between the medians of both data sets is 2.

The difference between the medians of both data sets is 4.

The difference between the ranges of both data sets is 2.

The difference between the ranges of both data sets is 4

Answer:

Step-by-step explanation:

f(-1)=8(-1)^2-5

f(-1)=8(1)-5

f(-1)=8-5

f(-1)=3

Answer:

3

Step-by-step explanation:

In this problem you substitute x for -1

8(-1)^2-5

Answer:

Option D. [tex]\frac{24}{7}[/tex].

Step-by-step explanation:

In any right angle triangle tangent of an angle is the ratio of opposite side and adjacent side.

tan x =[tex]\frac{\text{Opposite side (24)}}{\text{Adjacent side (7)}}[/tex]

        = [tex]\frac{24}{7}[/tex]

therefore, Option D. [tex]\frac{24}{7}[/tex] is the answer.

Answer:

3 and 4

Step-by-step explanation:

21/7 = x/1

x = 21/7*1 = 3

16/4 = y/1

y = 16/4*1 = 4

Answer:

2y

Step-by-step explanation:

Simplifying

21x + -42y = 0

Solving

21x + -42y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '42y' to each side of the equation.

21x + -42y + 42y = 0 + 42y

Combine like terms: -42y + 42y = 0

21x + 0 = 0 + 42y

21x = 0 + 42y

Remove the zero:

21x = 42y

Divide each side by '21'.

x = 2y

Simplifying

x = 2y

Answer:

one box of crackers costs $0.70

Step-by-step explanation:

Let $x be the price of 1 container of yogurt and $y be the price of 1 box of crackers.

1. Man can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. 4 containers of yogurt cost $4x and 3 boxes of crackers cost $3y. In total,

[tex]3x+4y=9.55.[/tex]

2. Man can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. 2 containers of yogurt cost $2x and 2 boxes of crackers cost $2y. In total,

[tex]2x+2y=5.90.[/tex]

3. Solve the system of two equations:

[tex]\left\{\begin{array}{l}3x+4y=9.55\\2x+2y=5.90\end{array}\right.[/tex]

Multiply the second equation by 2 and subtract it from the first equation:

[tex]3x+4y-2(2x+2y)=9.55-5.90\cdot 2,\\ \\3x+4y-4x-4y=9.55-11.80,\\ \\-x=-2.25,\\ \\x=\$2.25.[/tex]

Then

[tex]2\cdot 2.25+2y=5.90,\\ \\2y=5.90-4.50,\\ \\2y=1.40,\\ \\y=\$0.70[/tex]

By setting up a system of equations and using elimination, we find that one box of crackers costs $2.25.

To solve the cost of one box of crackers, we need to set up two equations based on the information given:

We use 'y' to represent the cost of one container of yogurt and 'c' for the cost of one box of crackers. To find the value of 'c', we can use substitution or elimination.

Let's eliminate 'y' by multiplying the second equation by 2, which gives us 4y + 4c = $11.80. Subtracting the first equation from this, we get:

c = $11.80 - $9.55

c = $2.25

So, one box of crackers costs $2.25.

Answer:

A) 25/75

C) 1/3

F) 0.3333333(repeated decimal)

Step-by-step explanation:

He started out with 75 planners, and has 25 planners left, meaning he have 25/75 (or 1/3) of the planners left.

25/75 = 1/3 = 0.333333(repeated decimal)

Simplify 2/3x to 2x/3

2x/3 = -20

Multiply both sides by 3

2x = -20 × 3

Simplify 20 × 3 to 60

2x = -60

Divide both sides by 2

x = -60/2

Simplify 60/2 to 30

x = -30

Answer: B) -30

Answer:

the answer to you question is -30

Step-by-step explanation:

what you have to do is take the fraction and multiply it by its reciprocal to get it away from the x and if you multiply on one side then you have to multiply on the other side also so you would multiply -20 by 3/2 the you would get the answer of -30

Hope this helps!!!:) can I get the Brainliest?

Answer:

17

Step-by-step explanation:

575/32=17.96875 or 17

Answer:

17 necklaces

Step-by-step explanation:

32n=575

n=575/32

n=17.96

Round down to 17, can't make .96 of a necklace.

Answer:

[tex]y = -1/2x - 4[/tex]

From this, you can tell it's in slope-intercept form, has a slope of -1/2, and a y-intercept of -4.

I've included a picture of what this equation looks like.

Answer:The answer is 7 hours here is how I solved it. If it's out of 500 pieces and you've already done 325 then lets minus that so we only have to deal with the left over pieces. So 500- 325 which will give you 175 from there let's divide it by 25 to see how many hours it will take. Once you divide you will get 7 you can double check by doing 7 times 25 then add that to 325 to get 500 pieces.

Step-by-step explanation:

Answer:

4x+2

Step-by-step explanation:

Answer:

4x + 2

Step-by-step explanation:

The given expression is x + x + x + x + 2

We can add the like terms.

The like terms are the terms having the same variable and the same exponents. The coefficients may vary.

For examples, 3x and -2x

2xy and 3xy

In the given expressions x, x, x, x are the like terms.

So, x + x + x+ x + 2

4x + 2

Therefore, the answer is 4x + 2

check the picture below.

Answer:

a = - 15 and b = - 9

Step-by-step explanation:

distribute the left side

- 15x² - 25x - 5b

For - 15x² - 25x - 5b = ax² - 25x + 45

Then the coefficients of like terms must be equal, hence

comparing coefficients of x² term ⇒ a = - 15

comparing constant term ⇒ - 5b = 45 ⇒ b = - 9

Answer: a = -15,   b = -9

Step-by-step explanation:

-5(3x² + 5x + b) = ax² - 25x + 45

-15x² - 25x - 5b = ax² - 25x + 45       distributed -5 on left side

Notice that the middle terms (-25x) are equal, so the the remaining terms will also be equal.

-15x² = ax²  ⇒  -15 = a

 -5b = 45   ⇒   b = -9

Answer: The volume of a block of ice is 9 meters

You have to LxWxH