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3 years ago

Given the parent functions f(x) = 5x –1 and g(x) = 3x –9, what is g(x) –f(x)?

Mathematics

2 answers:

Romashka [77]3 years ago

8 0

Answer: $g(x)-f(x)=-2x-8$

Step-by-step explanation:

Given parent functions : $f(x)=5x-1\text{ and }g(x)=3x-9$

Then ,

$g(x)-f(x)=3x-9-(5x-1)\\\\\Rightarrow g(x)-f(x)=3x-9-5x+1\ \ \text{[Open brackets]}\\\\\Rightarrow g(x)-f(x)=3x-5x-9+1\ \ \text{[Combine like terms]}\\\\\Rightarrow g(x)-f(x)=-2x-8$

Hence, for the given parent function f(x) and g(x), $g(x)-f(x)=-2x-8$

Marina CMI [18]3 years ago

4 0

g(x) –f(x) = 3x –9 - (5x –1)
 g(x) –f(x) = 3x –9 - 5x + 1
g(x) –f(x) = -2x - 8

hope it helps

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MARK BRAINIEST The base of a triangle is 7 3/4 inches, and the height is 4 2/3 inches. What is the area of the triangle? A) 14 4

Keith_Richards [23]

Short Answer: B
Remark
The area of any triangle is
A = 1/2 b * h
b = 7 3/4
h = 4 2/3

Step one
Convert all fractions to improper fractions.

7 3/4 = (28 + 3) / 4 = 31/ 4

4 2/3 = (12 + 2) / 3 = 14/3 Now multiply

Step Two
Multiply
Area = 1/2 * 31/4 * 14/3 Multiply the numerators together and then the denominators.
Area = (1 * 31 * 14) / (2 * 4 * 3) = 434 /24

Step 3
Convert this to a whole number + a fraction

Area = 18 + 0.08333333 You already have your answer. It is B because only B gives an answer of 18. But you can get the rest of

Let x = 0.083333333
100 x = 8.3333333333
x = 0.0833333333 Subtract
99 x = 8.25 Divide by 3 on both sides.
33 x = 2.75 Divide by 11
3x = 0.25
x = 0.25/3 Multiply top and bottom by 4
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The answer is 18 1/12.

3 0

3 years ago

A circle has radius 50 cm. Which of these is closest to its area?

olga55 [171]

Answer:

7854 cm²

Step-by-step explanation:

3.14 x 50² = 7850

4 0

2 years ago

Blake and James are planning to go on a trip. Blake already has some money saved. She earns $96 more by working overtime. James

rosijanka [135]

Blake saved $\bold{\$ 433.80}$

Option - A

SOLUTION:

Given, Blake and James are planning to go on a trip.

Blake already has some money saved.

Let the amount saved by Blake be $\$ n$ .

She earns $\$96$ more by working overtime.

Then, total amount by Blake $=\$(n+96)$

James has $\$ 53$ more than 4 times the amount of money that Blake has saved.

Then, total amount by James will be $\$ 53+4 \times \$ n=\$(4 n+53)$

If they have $\$2,318$ in all, we have to find how much money had Blake originally saved

Now, total amount = $\$2318$

$\begin{array}{l}{\rightarrow \text { Amount by Blake }+\text { amount by James }=2318} \\\\ {\rightarrow \mathrm{n}+96+4 \mathrm{n}+53=2318 \rightarrow 5 \mathrm{n}+149=2318 \rightarrow 5 \mathrm{n}=2318-149 \rightarrow 5 \mathrm{n}=2169 \rightarrow \mathrm{n}=433.8}\end{array}$

7 0

3 years ago

Plz gyz ineed the calculation

postnew [5]

Answer:

1/8

Step-by-step explanation:

1st day......1/3

2nd day....1/6

3rd day....3/8

common denominator of 24

1/3 + 1/6 + 3/8 = 8/24 + 4/24 + 9/24 = 21/24 (this is water used)

that means that : (24/24 - 21/24) = 3/24 reduces to 1/8 .....water in the tank

6 0

3 years ago

Write a expression that is equivalent of 4+3(5+x)

stepladder [879]

Answer: 19 + 3x

Step-by-step explanation:

Given : 4 + 3(5+x)

expanding , we have

4 + 15 + 3x

= 19 + 3x

Therefore :

4 + 3 ( 5 + x ) = 19 + 3x

3 0

3 years ago