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IrinaK [193]
3 years ago
6

For f(x)=2x+1 and g(x)=xsquared-7 find (f-g)(x)

Mathematics
1 answer:
devlian [24]3 years ago
5 0

Answer:

<em>(f-g)(x) = - x² + 2 x + 8</em>

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given f(x) = 2 x +1

          g(x) = x² - 7

(f-g)(x) = f(x) - g(x)

          = (2 x + 1) - ( x² -7)

         = - x² + 2 x + 1 + 7

       =  - x² + 2 x + 8

<em>(f-g)(x) = - x² + 2 x + 8     </em>

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A radio station plays a total of 272 pop, rock, and hip-hop songs during a day. The number of pop songs is 3 times the number of
Norma-Jean [14]
Let the daily played number of pop songs be P, the number of rock songs be R and the number of hip-hop songs be H.

i) 
"A radio station plays a total of 272 pop, rock, and hip-hop songs during a day"

means that : P+R+H=272

ii) 
"The number of pop songs is 3 times the number of rock songs. "

so, P=3R

iii)
"The number of hip-hop songs is 32 more than the number of rock songs."

means: H=32+R

iv)

since both P and H can be written in terms of R, we have:

P+R+H=272

(3R)+R+(32+R)=272

3R+R+32+R=272

5R+32=272

5R=272-32=240

R=240/5=48


vi) 

thus: P=3R=3*48=144,    H=32+R= 32+48=80

Answer: 

48 Rock, 144 Pop and 80 Hip-hop

5 0
3 years ago
Solve for d in terms of r
Zarrin [17]

Hello!

Answer:

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Step-by-step explanation:

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Hope this helps!

5 0
3 years ago
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Factor 54+2754+27 using the GCF.
torisob [31]
~54: 1,2,3,6,9,27~

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
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Georgia bought a packge of of 14 dollies to use in her valentines.She used 5/7 of the package to make her in valentines. How man
max2010maxim [7]

Answer: Georgia used 10 dollies and  she has left 4 dollies .

Step-by-step explanation:

Given: Georgia bought a package of of 14 dollies to use in her valentines.

Therefore, the number of dollies in a package = 14

If she used \frac{5}{7} of the package to make her in valentines.

The number of dollies she used = \frac{5}{7}\times14=5\times2=10

The number of dollies left = 14-10=4

Hence, Georgia used 10 dollies and  she has left 4 dollies .

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3 years ago
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