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Reptile [31]
3 years ago
8

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 - (<span>5x –1)
</span> g(x) –f(x) = 3x –9 - 5x + 1
 g(x) –f(x) = -2x - 8
<span>
hope it helps

</span>
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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 
 <u>x =       0.0833333333 </u>  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
x = 1 / 12

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

<u>SOLUTION: </u>

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
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