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mylen [45]
3 years ago
14

Find the following f(x)=x^2 - 4x - 12 A) f(a+2) B) f(a+h)

Mathematics
1 answer:
NikAS [45]3 years ago
6 0

(A) f(a + 2) = a² - 16

substitute x = a + 2 into f(x)

f(a + 2) = (a + 2)² - 4(a + 2) - 12

           = a² + 4a + 4 - 4a - 8 - 12

           = a² - 16

(B ) f(a + h) = a² + 2ah + h² - 4a - 4h - 12

substitute x = a + h into f(x)

f(a + h) = a² + 2ah + h² - 4a - 4h - 12


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Yes because she is asking students who love dance so much that they took an advanced dance class.

Step-by-step explanation:

3 0
3 years ago
HELP An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If
Musya8 [376]

Answer:

The amount invested in the mutual fund that earned 5% was $1,000

The amount invested in the mutual fund that earned 3% was $1,800

Step-by-step explanation:

Let

x ----> the amount invested in the mutual fund that earned 5%

y ----> the amount invested in the mutual fund that earned 3%

we know that

x+y=2,800 ----> y=2,800-x ----> equation A

5\%=5/100=0.05

3\%=3/100=0.03

0.05x+0.03y=104 ----> equation B

Solve the system by substitution

substitute equation A in equation B

0.05x+0.03(2,800-x)=104

Solve for x

0.05x+84-0.03x=104

0.05x-0.03x=104-84

0.02x=20

x=\$1,000

<em>Find the value of y</em>

y=2,800-x

y=2,800-1,000=\$1,800

therefore

The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800

5 0
4 years ago
What algebraic expression must be subtracted from the sum of y2+5y−1
ss7ja [257]

Answer:

2y² -4y +5

Step-by-step explanation:

First you need to find the sum of y²+5y-1 and 3y²-2y+4

(y²+5y-1) + (3y²-2y+4) => y²+3y²+5y-2y-1+4

                                  =4y²+3y+3

Next is to subtract 2y²+7y-2 from the sum calculated above in order to  find the algebraic expression asked in the exercise

4y²+3y+3 -(2y²+7y-2) => 4y²-2y²+3y-7y+3+2

                                   =2y² -4y +5

Therefore, the algebraic expression asked must be 2y² -4y +5

7 0
3 years ago
Please help!!!!!!!!!
allsm [11]

Answer:

$42.75

Step-by-step explanation:

18.80+23.95=$42.75

6 0
3 years ago
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I invest £2,000 at a rate of 5% compound interest. I leave the amount 5 years. How much will I have after 5 years?​
Lubov Fominskaja [6]

Answer:

£10,000 at a rate of 5%

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3 years ago
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