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Triss [41]
3 years ago
15

If f(x) = -x2 – 1, and

Mathematics
1 answer:
Marysya12 [62]3 years ago
6 0

Answer:

g(f(x)) = -x^2 + 4

Step-by-step explanation:

What we simply have to do here is to put f(x) into g(x)

What this mean is that every x in g(x) will be represented by f(x)

Thus, we have it that

-x^2 - 1 + 5

= -x^2 + 4

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An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the i
Natasha_Volkova [10]

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
3 years ago
Which of the following is the conjugate of a complex number with −1 as the real part and 3i as the imaginary part? (6 points) –1
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Complex numbers have the form a + ib.  Given a + ib, the complex conjugatet is a - ib.

Therefore, the complex conjugate of -1 + 3i is -1 - 3i.

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(2.85)(8.6) = $24.51
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3 years ago
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