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Answer:

a. d(x) = x

b. yes

Step-by-step explanation:

a. since c(x) = [tex]x^{2}[/tex] + 1

c(d(x)) = (d(x))^2 + 1 (replace x with d(x))

that means d(x) has to be x for c(d(x)) to equal [tex]x^{2}[/tex] + 1

b. for example if you use 2 as x, c(d(x)) will equal 5 since d(x) = 2 and [tex]2^{2}[/tex] + 1 = 5

d(c(x)) will also equal 5 because c(x) = [tex]2^{2}[/tex] + 1 = 5 and d(c(x)) = c(x) = 5

Answer:

Step by step explanation:

13-22=-9

Answer:

C

Step-by-step explanation:

SA= 2lw+2lh+2wh

Answer:b

Step-by-step explanation:

Answer:

NPV, IRR, payback.

Step-by-step explanation:

The best worst decision technique involves the choice modelling. In terms of the overall usefulness in the capital budgeting decisions,

-- the decision rule that is best is the NPV

-- the decision rule that is worst is payback period

The NPV capital budgeting tool provides accurate results and it also assumes cash flow can be reinvested at a discount rate.

The IRR is the second best budgeting tool where it assumes that the cash flows can be reinvested at IRR.

And the worst is the payback where it does not take into account its time value of the money and so it does not yield the correct as well as accurate results.

Therefore, ranking the rules from best to worst is : NPV, IRR, payback.

Answer:

4

Step-by-step explanation:

8×(-1)⁴-3×(-1)-7=8+3-7=4

Answer:

4

Step-by-step explanation:

Substitute x = - 1 into the expression

8[tex](-1)^{4}[/tex] - 3(- 1) - 7

= 8(1) + 3 - 7

= 8 + 3 - 7

= 11 - 7

= 4

Answer:

3

Step-by-step explanation:

hope this helps with the problem

Answer:

C = 5+3x

Step-by-step explanation:

if its 3.00 per hour for x hours, you have to multiply 3 by x hours.

Answer:

3/5

cups of rice over cups of water

Step-by-step explanation:

I'm sorry I only know one way.

Answer:

X = 6, y=-9

Step-by-step explanation:

7x + 2y =24 equation 1

8x + 2y=30 equation 2

-1(7x + 2y)=-1(24) multiply equation 1 by -1 to eliminate y

-7x-2y=-24 equation 1 multiplied by -1

8x+2y=30 equation 2

x+0=6 add above 2 equations

x=6

solve for y

7x + 2y=24

7(6) + 2y=24

42 + 2y =24

2y=-18

y=-9

check answers

8x + 2y=30

8(6) + 2(-9)=30

48-18=30

30=30

7x + 2y = 24

7(6)+2(-9)=24

42-18=24

24=24

Answer:

area = height x Base/2

Step-by-step explanation:

Answer:

solution given:

Area of triangle ABC=½b×h=½×18×21=189km²

Area of square DEFG=l²=9²=81km²

Area of rectangle DHIJ=l×b=4×13=52km²

Total area =189+81+52=322 square kilometers.

Answer:

322 sq. km

Step-by-step explanation:

the area of fig. =

(½×18×21)+(13×4)+(9×9)

= 189+52+81

= 322 sq. km

Answer:

C. Add the exponents

Step-by-step explanation:

The given expression is presented as follows;

6·x·y²·z⁴·2·x²·y⁵·z

The expression can be rearranged by according to like terms as follows;

6·2·x·x²·y²·y⁵·z⁴·z = 3·2·2·x·x²·y²·y⁵·z⁴·z

By the law of indices, we add the exponents of the like terms to simplify the expression as follows;

3·2·2·x·x²·y²·y⁵·z⁴·z = 3·2⁽¹⁺¹⁾·x⁽²⁺¹⁾·y⁽⁵⁺²⁾·z⁽⁴⁺¹⁾ = 3·2²·x³·y⁷·z⁵

In order to simplify the expression the step Tim needs to use for each variable's exponent is to add the exponents.

Answer:

1.0769

Step-by-step explanation:

multiply 4x2 to get 8

move -52x over the equal sign to make it 52x

so we get something like this: 8 + 169 = 121 + 52x

also move 121 over the equal sign to make it -121

Like this: 8 + 169 - 121 = 52x

Now when you simply, you will get 56 = 52x

Divide both sides by 52

Final answer is 1.0769

Answer:

15 + .5x = 25

Step-by-step explanation:

.5x = 10

x = 20

Answer:

I think not possible to do

-x10−x+3=0

x≈−1.1530188,1.06806865

Answer:

simple interest = $525

total amount = $ 2025

Answer:

One

Step-by-step explanation:

THe two equations have different slopes so they will intersect at one point.

Answer

A=15cm²

Step-by-step explanation:

let me know if im please :)

Answer:

x=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

➜-2x+4=0

➜-2x=-4

➜2x=4

➜x=4/2

➜x=2

Answer:

2a(a+2b) square metres

Step-by-step explanation:

surface area of a box = 2(lw+wh+lh)

l is the length = a metres

w is the width = a mtres

h is the height = b metres

Substitute into the formula

surface area of a box = 2(a*a+ab+ab)

surface area of a box = 2(a² + 2ab)

surface area of a box = 2a(a+2b) square metres

This give sthe surface area of the box

Answer:

y = 45/x

Step-by-step explanation:

Here, we want to write an inverse relationship

for an inverse relationship, the product of both variables will be equal to the constant term

Let us have the constant term as k

Thus, we have it that;

xy = k

9 * 5 = k

k = 45

So the inverse function is;

xy = 45

or y = 45/x

if y is a function of x, we can have it as;

f(x) = 45/x

Given:

The vertices of a triangle JKL are J(0, 2), K(–1, 2), and L(0, –3).

To find:

The coordinates of the image of point J after a dilation with a scale factor of 3.

Solution:

If a figure is dilated by a scale factor of k, then

[tex](x,y)\to (kx,ky)[/tex]

The given triangle JKL dilated by a scale factor of 3. So,

[tex](x,y)\to (3x,3y)[/tex]

The coordinates of point J are J(0,2). By using the above rule, we get

[tex]J(0,2)\to J'(3(0),3(2))[/tex]

[tex]J(0,2)\to J'(0,6)[/tex]

Therefore, the coordinates of the image of point J after a dilation with a scale factor of 3 are J'(0,6).

Answer:

1/8 or 0.125

Step-by-step explanation:

So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..

...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."

Well, oof.

Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.

To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:

Same for the ham:

Putting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....

..and a fruit.

Hope this helped!

If you need me to show my work, just comment me and I will attach a screenshot!

Source: N/A

Answer:

6957  inches squared

Step-by-step explanation:

surface area of a cone  = πr × (r + √[h² + r²])

h = height

r = radius = 4/2 = 2 inches

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(3.14 x 2) x (2 + √5² + 2²) = 6.28  x 7.39 = 46.38 inches squared

the amount of coated paper needed for 1 cup is 46.38 inches squared

Amount needed for 150 cups = 46.38 x 150 = 6957

x 150

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]

Write the fraction using a power of 3.

[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]

This assumes you know about negative exponents:  [tex]a^{-n}=\frac{1}{a^n}[/tex]

Answer:

ratio 80:250

Step-by-step explanation:

there will be less people than babies

Answer:

x=20

Step-by-step explanation:

Answer:

5 cupcakes per box

Step-by-step explanation:

45 ÷ 9 = 5

:)

Answer:

45/9 or you could say 45 divided by 9 is equal to 5 sooooo!!!  9 x 5 is equal to 45.

Step-by-step explanation:

Answer:

I think for this one it is D.

Step-by-step explanation:

Answer:

21

Step-by-step explanation: