Consider the inverse function

f^-1(x) = - sqrt (x-2)

Which conclusions can be drawn about f(x) = x^2 + 2? Select three options.

A.) f(x) has a limited range
B.) f(x) has a restricted domain
C.) f(x) has an x-intercept of (2,0)
D.) f(x) has a maximum at the point (0,2)
E.) f(x) has a y-intercept at the point (0,2)

A, B, E are the right answers!

Answer:

The image coordinates are:

A'(0, 0)

B'(-8, -8)

C'(4, -8)

The graph of the image coordinates attached below.

The image triangle A'B'C' is illustrated in green color.

Step-by-step explanation:

Let the points of a triangle be

We need to determine the graph of the image of this triangle after a dilation with a scale factor of 2 centered at the origin.

A dilation by a scale factor of 2 centered at the origin means the coordinates of the image can be obtained by multiplying the original coordinates with 2.

Next, the rule of dilation by a scale factor of 2 is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

P(x, y)  → P' (2x, 2y)

A(0, 0) → A' (2(0), 2(0)) → A'(0, 0)

B(-4, -4) → B' (2(-4), 2(-4)) → B'(-8, -8)

C(2,-4) → C' (2(2), 2(-4)) → C'(4, -8)

Therefore, the image coordinates are:

The graph of the image coordinates attached below.

The image triangle A'B'C' is illustrated in green color.

Answer:

After one year, the car will be worth $1,275.

Step-by-step explanation:

We know that a new car value decreases by 15% every year. So, we first need to find 15% of $1,500.

1,500 x 0.15 = $225.

Now, me must subtract $225 from the initial value, or $1,500.

1,500 - 225 = $1,275

Therefore, after one year, the car will be worth $1,275.

Hope this helps! :D

Answer:

3x - 2y = 12

Step-by-step explanation:

3x-2y=12 is the standard form of equation y=3/2x - 6

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The equation is y=3/2x - 6

y equal to three by two times of x minus six

y=3/2x - 6

LCM of 1 and 2 is 2

y=(3x-12)/2

Now apply cross multiplication

2y=3x-12

Two times of y equal to three times of x minus twelve

Now take 2y to RHS side

3x-2y-12=0

3x-2y=12

Hence 3x-2y=12 is the standard Form of equation y=3/2x - 6.

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

Answer:

m = -1/4

Step-by-step explanation:

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

m = 3/-12

m = -1/4

Answer:

Neither parallel nor perpendicular

Step-by-step explanation:

The lines represented by the equations y = 1x – 5 and 3y + x = -15 are .....

Solve for y in 3y + x = -15.

[tex]3y + x = -15 \\ \frac{ - x = - x}{3y = - x - 15} \\ \\ \frac{3y = - x - 15}{3 \: \: = \: \: \: \: \: \: \: \: \: 3} \\ y = - \frac{1}{3}x - 5[/tex]

[tex]y = - \frac{1}{3}x - 5 \: and \: y = 1x - 5[/tex]

Answer:

A(math)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Take the root of both sides and solve.

Exact Form:  v = 2 √ 11 − 3 ,  − 2 √ 11 − 3

Hope this helps!! Please consider marking brainliest! Have a good one!!

Answer:

Point A at Quadrant 2

Step-by-step explanation:

For point (-2, 4) the -2 is the x-axis and the 4 is the y-axis. All points at -2 on the x-axis are A, J, and K. All points at 4 on the y-axis are A, B, and C. Since point A is satisfies both of the places on the x-axis and the y-axis, your answer is point A.

[tex]Quadrant\begin{array}{cccccc}&&y&\\&&|&\\&2&|&1\\-&-&+&-&-&x\\&3&|&4\\&&|\end{array}Graph[/tex]

The picture above shows the quadrants. Since A is in the top left, it's quadrant 2. (The Quadrant Graph took a while so plz rate 5 stars.) Thx!

Answer:

Step-by-step explanation:

Average =  

Sum

Count

=  

17.3

3

=  5.7666666666667

Answer:

Slope: 1

Y-intercept: (0,4)

Step-by-step explanation: I hope that helps!

Answer:

x1 = -4.872983346

x2 = 2.872983346

Step-by-step explanation:

Given:

x^2+2x+7=21

Subtract 21 on both sides to get the right side equal to 0:

x^2+2x-14=0

Use the quadratic formula:

x1 = -4.872983346

x2 = 2.872983346

Answer:

20%

Step-by-step explanation:

Answer:

6/30 Simplified to 1/5

Step-by-step explanation:

Add the total number of marbles together.

Then put the number of green marbles over the total number of marbles.

Now you want to simplify. 6 is divisible by 6 and equals 1.

30 is also divisible by 6 and equals 5.

Hope this helps.

Answer: I think it can be D

hopfully this helps :)

Answer:

1. Combine the constant terms by adding 7 and –2.

4. Combine the like variable terms by adding the coefficients

5. 5 k and negative 3 k are like variable terms

6.The constants 7 and –2 are like terms.

7. The equivalent expression is 5 + 2 k + n.

Answer:

C

Step-by-step explanation:

If you do the math and get the right answer, your answer should be 54.

After that, it should be pretty easy to pick out the right answer.

So that's why the answer is C.

Hope this helped! :)

Answer: 8:9

Step-by-step explanation:

Answer:

8 : 9

Step-by-step explanation:

Hearts = 8

Circles = 9

So your final ratio is 8 : 9!

Answer:

I think it's 7:11

Step-by-step explanation:

14:22

simply it will be 7:11

Answer:

the slope is m=-4/3

Step-by-step explanation:

plz mark brainliest

Answer:

A = The greatest common factor would be 9.

B: 45+63= 9*(5+7)

Step-by-step explanation:

Answer:

b is 45+63=9(5+7)

Step-by-step explanation:

Once you know the GCF, you just need to find what the GCF (9 in this case), times what will get you 45 and 63. So we already know that 9 will be on the outside of the parentheses since it's what we're multiplying by. 9 times 5 is 45, so for the first number in the parentheses you'll put 5, and for the second, 9 times 7 is 63, so the second number in the parentheses is 7. You can check by solving it. 9(5+7). Use the distributive property and first you will do 9 times 5, which is 45, then 9 times 7 which is 63, so you'll get 45+63, which is correct.

Answer:

The sum of the interior angle measures of the polygon is 540°

Step-by-step explanation:

The formula of the sum of the measures of the interior angles of a polygon is

∑m = (n - 2) × 180°, where n is the number of the sides of the polygon

In the given figure

∵ The polygon has 5 sides

∴ n = 5

→ Use the formula above to find the sum of the interior angle measures of it

∵ ∑m = (5 - 2) × 180°

∴ ∑m = 3 × 180°

∴ ∑m = 540°

∴ The sum of the interior angle measures of the polygon is 540°

Answer:

15.50$

Iready answer...

Answer:

$15.50

Step-by-step explanation:

Answer:

= 18 square units

Step-by-step explanation:

area = full square units +  1/2 x half-full square units

                                                         2

remember  that if a square is not full it is NOT full: hence it will be considered as half full.

full square units =12

1/2 full square units =12

12 + 12/2

12 + 6

= 18 square units

Answer: A

Step-by-step explanation:

Statement  A is right because  2x is being added to 1 which makes it a sum statement.

Statement B is wrong because 1 is the coefficient in this expression, 2  is the coefficient of x.

Statement C is wrong because the only variable in the expression is x .

Statement D  is wrong because  2x  is not being multiplied by 1.

Answer:

the answer is A

Step-by-step explanation:

i just took the test on apx

Answer:

$2

$18

Step-by-step explanation:

Answer:

132 whole 1 pound packages.

Step-by-step explanation:

6 ounces times 350* equals 2100 ounces, so the summer cap needs 2100 ounces of sausage to feed all 350 children. We already know there are 16 ounces per pound. 16 x 131 equals 2096. Remember, it takes 2100 ounces to feed all 350 children. The summer camp will have to buy 132 packages to exceed 2100 without having additional whole packages.

*this number represents the amount of children

The camp needs to buy 132 packets of sausage to serve 350 students.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A summer camp is providing breakfast for 350 children that include a 6-ounce serving of sausage per student.

So, The total amount of sausages is,

= 6×350 ounces.

= 2100 ounces.

Also given, sausages come in 1 pound pack.

Therefore, The number of packets required is,

= (2100/16).

= 131.25 but they have to buy 132 packets.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ6

Answer:

Line D

Step-by-step explanation:

They're parallel which means they have the same slope and never intersect

Answer:

The bridge is 80 feet long

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The engineer used the scale 3 inch = 40 feet

∴ The scale drawing is ⇒ 3 inche :  40 feet

∵ The drawing length of the bridge is 6 inches

→ By using the ratio method

→  inch :  feet

→  3      :  40

→  6      :  x

→ By using cross multiplication

∵ 3 × x = 6 × 40

∴ 3x = 240

→ Divide both sides by 3

∴ x = 80

∵ x represents the actual length of the bridge

∴ The bridge is 80 feet long