What is the answer to this problem.

Answer:

f(g(-1)) = 22

g(f(-1))=6

Step-by-step explanation:

We are given

[tex]f(x)=5x+2 \\g(x)=3-x[/tex]

We need to find f(g(-1)) and g(f(-1))

Finding f(g(-1))

First we will find f(g(x)) i.e

[tex]f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17[/tex]

Now finding f(g(-1)) by putting x=-1

[tex]f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22[/tex]

So, f(g(-1)) = 22

Finding g(f(-1))

First we will find g(f(x)) i.e

[tex]g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1[/tex]

Now finding g(f(-1)) by putting x=-1

[tex]g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6[/tex]

So, g(f(-1))=6

Answer:

15 pounds

Step-by-step explanation:

150-135

Answer:

15 pounds

Step-by-step explanation:

Answer:

x=12

y=9

Step-by-step explanation:

Since the two triangles are equal, the hypotenuse of each are equal as well, meaning 2x is equal to x+12.  2 times 12 equals 24, and 12+12 also equals 24.

the shorter sides are also equal to each other, so (y+5) equals (2y-4).  9+5 equals 14, and 2 times 9 minus 4 also equals 14.

Answer:

10000sksiiwiwisisis

Answer:

no solution

Step-by-step explanation:

-3n + 12 + 5n = 2n

subtract 2n from both sides to get all the n’s on one side

-3n - 2n + 5n + 12 = 0

Combine n’s Which actually cancel themselves out. This leaves

12 = 0

12 can never equal 0 so there is no solution.

Answer: Paco bought 7 markers and 8 pencils.

Step-by-step explanation:

Let's define the variables:

P = number of pencils that Paco bought

M = number of markers that Paco bought.

We know that P + M  = 15.

We also know that each pencil costs $0.30 and each marker costs $1.25, and the total price for the whole purchase is $11.15

Then:

P*$0.30 + M*$1.25 = $11.15

Then we have the system of equations:

P + M  = 15

P*$0.30 + M*$1.25 = $11.15

To solve this, we can start by isolating one of the variables in the first equation, let's isolate P.

P = 15 - M

Now we can replace this in the second equation to get:

(15 - M)*$0.30 + M*$1.25 = $11.15

$4.50 - M*$0.30 + M*$1.25 = $11.15

$4.50 + M*$0.95 = $11.15

M*$0.95 = $11.15 - $4.50 = $6.65

M = $6.65/$0.95 = 7

Then paco bough 7 markers, and we can find the number of pencisl by the equation:

P + M = 15

P = 15 - M = 15 - 7 = 8

Then Paco bought 7 markers and 8 pencils.

Answer:

The coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

Step-by-step explanation:

Given the triangle with the vertices

Thus,

The rule of reflection across the x-axis:

(x, y) → (x, -y)

so

A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)

B(-2, 2) → B'(-2, -2) = B'(-2, -2)

C(5, 2) → C'(5, -2) = C'(5, -2)

Then, translate the new triangle 5  units to the left

Rule of translating 5 units to the left

(x, y) → (x-5, y)

so

A'(-1, 8) → A''(-1-5, 8) = A''(-6, 8)

B'(-2, -2) → B''(-2-5, -2) = B''(-7, -2)

C'(5, -2) → C''(5-5, -2) = C''(0, -2)

Therefore, the coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

Answer: b

Step-by-step explanation:

Final Answer: [tex]x = 5[/tex]

Steps/Reasons:

Hey there!

Step 1: Subtract [tex]3x[/tex] from both sides.

[tex]5 = 4x - 3x[/tex]

Step 2: Simplify [tex]4x - 3x[/tex] to [tex]x[/tex].

[tex]5 = x[/tex]

Step 3: Switch Sides.

[tex]x = 5[/tex]

~I hope I helped you :)!

Answer:

[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]

Step-by-step explanation:

Given

Stores and Parking Lots

Required

Determine the area as a sum of area of stores and area of parking lots

First, calculate the area of the stores

The dimension of store A is: 25 by 10

The dimension of store B is: 25 by w

The dimension of stores A and B (as an entity) is: 25 by 10 + w

The area is then calculated as:

[tex]Area = 25 * (10 + w)[/tex] -------- A1

Next, calculate the area of the parking lots

The dimension of parking lot A is: 13.5 by 10

The dimension of parking lot B is: 13.5 by w

The dimension of parking lots A and B (as an entity) is: 13.5 by 10 + w

The area is then calculated as:

[tex]Area = 13.5 * (10 + w)[/tex] -------- A2

The area of the shopping center is then calculated as:

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]

Answer:

VW = 23

Step-by-step explanation:

Since VU is 31 and part of it (WU) is 8, the remaining (VW) would be 31-8 = 23.

Answer:

23

Step-by-step explanation:

vw= vu-wu

vw=31-8

vw=23

Answer:

3 < x

Step-by-step explanation:

1. Use distributive property for 5(3-x)

2. add x to each side

3. subtract 6 from 15

4. divide 3 from 9

3 < x

Answer:63 dollars 16.80÷ 4 = 4.20 4.20 × 15 = 63

Step-by-step explanation:

Answer:

y =  0.7(x^2 - 64x - 576)

Average rate of change = -49.

Step-by-step explanation:

As the x intercepts are -8 and 72 we can write the equation

y = a(x + 8)(x - 72)     where a is some constant to be found.

As it passes through point  (62, -490) we have, substituting:

-490 = a(62+8)(62-72)

-490 =  - 700a

a = 0.7

So the equation of the parabola

y = 0.7(x + 8)(x - 72) or

y =  0.7(x^2 - 64x - 576).

Average rate of change between x = -8 and x = 2

=  [0.7(2+ 8)(2 - 72) -  0.7(-8+8)(-8-72)] / (2 - -8)

= -490 - 0 /10

= -49

Step-by-step explanation:

the 3rd angle is 60 degrees

as it is an equalateral triangle, all the sides are equal. So we can say that

7x + 19 = 11x - 89

89 + 19 = 11x-7x

108 = 4x

x = 108/4

x = 27

Answer: y + 5 = -3(x-3)

Step-by-step explanation:

Answer:

If their angles are the same, if they are proportional, if it states so

Step-by-step explanation:

I don't see the image you sent, but just naming different things that proves how triangles are similar.

Answer:

the product of 60 is 5×3×2×2

Answer:

i dont think so.

Step-by-step explanation:

Answer:

your answer is 1e+31

Step-by-step explanation:

Answer:

1e+31

Step-by-step explanation:

========================================================

Explanation:

Since triangle ABD is congruent to triangle CBD, this means the corresponding pieces AB and BC are the same length. Both are 70 feet.

Similarly, AD = DC = 60 ft.

The total length traveled is:

AB+BC+CD = 70+70+60 = 200 ft

We never use BD = 50 at all.

Divide this total distance over the speed of 15 ft per second, and we get 200/15 = 13.333 seconds approximately.

You are correct so far. You just need to round this value to the nearest tenth, as the instructions indicate. So you'll round to one decimal place. The value 13.333 turns into 13.3 which is the final answer.

Answer:

Part A: C

Part B: B

Part C: 15.91

Step-by-step explanation:

first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.

Answer:

-14, -4, 16, 21, 26

Answer:

2 angles

Step-by-step explanation:

only 2 angles are ternate exteriors

Answer: 12

Step-by-step explanation:

I did it

Answer:

Step-by-step explanation:

So, ahem if I am even close to giving you an accurate answer then the logical part of me in my brain is still working. If she worked 150 hours and she were to take Sarah's advice to work 15% more. We first need to know what 15% of 150 is to find that we can do 10 percent of 150 which we put 150. and we move that decimal over one place to the opposite of the side right. What do we get well we get 15.0 and we let that be. Then since we still need to find the other 5% of 150 we can take the 15.0 and divide by 2. We can do 14÷2=7 we can add that to the 15.0, and get 22, now we put that aside then we can do the 1÷2=.5. We can then do 22+.5=22.5. then we have to do 150+22.5=172.5

since it is 15% more than 150. Sorry if this is not very understandable,

incorrect, and confusing I tried. I hope that I helped with something. I try to trick you a bit I hope that you catch on. :)

Answer:

good

Step-by-step explanation:

calculate it on alculator

Answer:

6.oz and all other things are going on

Step-by-step explanation:

its been a few weeks and I've just got back to

Answer:

3

Step-by-step explanation:

Answer: It would be a Constant variable.

Hope this helps!