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SVEN [57.7K]
4 years ago
9

Suppose f(x) = x2 and g(x) = 2x − 3. What is the value of g(4) + f(−3)?

Mathematics
1 answer:
MAVERICK [17]4 years ago
8 0

In order to find the value of g(4)+f(-3), we must substitute those values into the functions first.

Substitute -3 into f(x).

f(x)=x²

f(-3)=(-3)²

f(-3)=9

Substitute 4 into g(x).

g(x)=2x-3

g(4)=2(4)-3

Using the rules of PEMDAS, multiply first then subtract.

g(4)=8-3

g(4)=5

Therefore, if f(-3) is 9 and g(4) is 5, we must add the two values together.

5+9=14

<u>The value of g(4)+f(-3) is 14.</u>

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Explain how to make these couculations mentaly a. 99+54 b.244-99
IrinaVladis [17]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

<u></u>

Answer:

Use estimation

Step-by-step explanation:

A) 99 + 54

estimate that 99 is 100

estimate that 54 is 55

Add 100 and 55 together

100 + 55 = 155

Remember that you added 1 to 99 and 1 to 55

So you must subtract 2 from 155

155 - 2 = 153

Your answer is 153.

B) 244 - 99

estimate that 244 is 245

estimate that 99 is 100

Add 245 and 100 together

245 + 100 = 345

Remember that you added 1 to 245 and 1 to 99

So you must subtract 2 from 345

345 - 2 = 343

Your answer is 343.

<em>Remember that you are doing all of this in your head!</em>

<em />

I hope this helps!

- sincerelynini

5 0
3 years ago
What is the solutions set
oksian1 [2.3K]
2x< -9 +1
2x< -8
x< - 8/2
x< - 4

3x> 2 - 5
3x > - 3
x> -3/3
x > -1

the third is the answer
8 0
3 years ago
3/4w+8=1/3w-7 find value of w
Anika [276]
3 / 4 w + 8 = 1 / 3 w - 7

Multiply by LCD = 4 ( w + 2 )(3w - 7)

3(3w-7) = 4(w + 2)

3*3w - 3*7 = 4 * w + 4 * 2

9 w - 21 = 4 w + 8

Add 21 to both sides :

9w - 21 + 21 = 4w + 8+ 21

9w = 4w + 29

9w - 4w = 29

5 w = 29

Divide both sides by 5 :

5 w / 5 = 29 / 5

w = 29 / 5

hope this helps!

4 0
3 years ago
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges flat fee of $21 plus $1
Ostrovityanka [42]

Answer:3 hours total

Step-by-step explanation:

15+(3*3)=21+(1*3) which equals out to 24$

6 0
3 years ago
Read 2 more answers
Jodi is cutting out pieces of paper that measures 8 1/2 inches by 11 inches from a larger sheet of paper that has an area of 100
Misha Larkins [42]

Answer:

9

Step-by-step explanation:

The possible dimensions of the larger piece of paper that could give us 1000 square inches for area are:

1×1000; 2×500; 4×250; 5×200; 8×125; 10×100; 20×50; 25×40

We want to use dimensions that will allow us to cut 8 1/2 by 11 sheets.  This means that the smallest dimension needs to be larger than 8 1/2 inches; this leaves us with

10×100; 20×50; 25×40

For the first one, 10×100, we can have 1 row across the 10 inch dimension, and 100/11 = 9 columns across the other dimension.  This gives us 1×9 = 9 sheets.

For the 20×50, we can have 2 rows across the 10 inch dimension and 50/11 = 4 columns; this gives us 2×4 = 8 sheets.

For the 25×40, we can have 2 rows across the 25 inch dimension (we lack half an inch of having 3) and 40/11 = 3 columns; this gives us 2×3 = 6 sheets.

The largest number of sheets was 9.

6 0
3 years ago
Read 2 more answers
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