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3 years ago

Easy!!!

Mathematics

1 answer:

aksik [14]3 years ago

7 0

Step-by-step explanation:

f(g(10))

This is called a composite function. It's when you plug one function into another.

First, find g(10):

g(x) = √(x-9)

g(10) = √(10-9)

g(10) = √1

g(10) = 1

Then plug that into f(x):

f(x) = -9x - 9

f(g(10)) = -9 g(10) - 9

f(g(10)) = -9 (1) - 9

f(g(10)) = -9 - 9

f(g(10)) = -18

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(You will get brainliest if you give a long answer) You have recently purchased a new backpack as show in the picture. The main

Natalka [10]

*see attachment for diagram

Answer:

Volume of new backpack = 1,299.84 in.³

Step-by-step explanation:

Volume of the new back pack = volume of the front pocket + volume of the main section of the backpack

✔️Volume of the front pocket = volume of rectangular prism = L*W*H

L = 8 in.

W = 4 in.

H = 2 in.

Volume of the front pocket = 8*4*2 = 64 in.³

✔️Volume of the main section of the back pack = volume of the rectangular prism + volume of the half cylinder

= L*W*H + ½(πr²h)

L = 12 in.

W = 10 in.

H = 7 in.

r = 6 in.

h = 7 in.

Plug in the values into the equation

Volume of the main section of the backpack = 12*10*7 + ½(π*6²*7)

= 840 + ½(791.68)

= 1,235.84 in.³

✅Total volume of the new backpack = 64 + 1,235.84 = 1,299.84 in.³

3 0

3 years ago

Each True/ False question is worth 3 points and each multiple choice question is worth 5 points. If there is an 86- point test a

Leto [7]

Answer:

Step-by-step explanation:

x=true/false questions y = multiple choice

3x+5x=86

x+y=20

x=7, y=13

13 multiple choice questions

5 0

3 years ago

I need this assignment done will give brainliest and extra points.

Travka [436]

Answer:

1a.2.5x³-2.25x²+3.5x-1.5

1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)

2a.-2x⁶+7x⁴+3x³-3x²+11x+20

2b.Yes. When multiplying, it doesn't matter which term/expression you put first

3. The equation has two solutions: x=-2, x=3

Step-by-step explanation:

1. (a)

(0.5x-0.25)(5x²-2x+6)

0.5x(5x²-2x+6)-0.25(5x²-2x+6)

2.5x³-x²+3x -1.25x²+0.5x-1.5

2.5x³-2.25x²+3.5x-1.5

(b)

(0.25x-0.5)(5x²-2x+6)

0.25x(5x²-2x+6)-0.5(5x²-2x+6)

1.25x³-0.5x²+1.5x -2.5x²+x-3

1.25x³-3x²+2.5x-3

This is not equal to our answer for 1(a), so we can see they're not the same.

2(a)

(-2x³+x-5)(x³-3x-4)

-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)

-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20

-2x⁶+7x⁴+3x³-3x²+11x+20

(b)

Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.

2x²-2x-12=0

(divide each term by 2)

x²-x-6=0

(x+2)(x-3)=0

Anything multiplies by zero is zero, so either x+2=0 or x-3=0

If x+2=0, x=-2. If x-3=0, x=3.

The equation has two solutions: x=-2, x=3

8 0

3 years ago

Looking at the histogram, how many students took the exam? <br>A: 37<br>B: 14<br>C: 5<br>D: 28

zavuch27 [327]

Answer:

(-2, 33) and (5, - 16)?

A. 7x- y=51

B. 7x+ y= -47

C. 7x+ y= -14 D. 7x+y= 19

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

,,,,,,,,,,,,,,,,,,,,,,,,,

jonny [76]

Answer:

side

Step-by-step explanation:

if your talking about the dark purple it would be the side but if your talking about the other one it would be front i cant rlly tell by the colors.

i hope this helps:)

8 0

3 years ago