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shutvik [7]
3 years ago
15

Given the function f(x)=-2x^2+4x-7, find f(-4)

Mathematics
2 answers:
jeka57 [31]3 years ago
7 0
Let's begin by evaluating f(x) using the value of 3:    f(x) = 2x2 - 4x - 4 (original function)    f(3) = 2(3)2 - 4(3) - 4 (plugging in 3 for x)    f(3) = 2 (computed result) Now let's evaluate g(x) using the value of 3:    g(x) = 4x - 7 (original function)    g(x) = 4(3) - 7 (plugging in 3 for x)    g(x) = 5 (computed result) Finally, we'll sum our results:    (f + g)(3) = 2 + 3 (add f(3) and g(3))    <span>(f + g)(3) = 5 (final answer)</span>
AveGali [126]3 years ago
5 0
Please see picture attached.

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3 years ago
Which statement justifies that 3x² − 2x − 4 multiplied by 2x² + x − 3 obeys the closure property of multiplication?
Anna007 [38]

Step-by-step explanation:

(3x2 - 2x - 4) (2x2 + x - 3)

6x4 + 3x3 - 9x2 - 4x3 - 2x2 + 6x - 8x2 - 4x + 12

Solving like terms

6x4 - x3 - 19x2 + 2x + 12

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3 years ago
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3 years ago
Students at Maple school earned $708 selling candles. They want to accumulate $2000 for a club trio. What percent of their goal
Sholpan [36]

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<u>The correct answer is 35.4%</u>

Step-by-step explanation:

Let's check the information provided in the question:

Savings goal = US$ 2,000 for the club trip

Earnings for the candles selling = US$ 708

For calculating the accumulated percentage, we can do it this way:

Accumulated percentage = Earnings / Savings goal

Accumulated percentage = 708 / 2,000 * 100

Accumulated percentage = 0.354 * 100

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<u>Students at Maple School has accumulated 35.4% of their savings goal with the candles selling.</u>

5 0
3 years ago
For every 1% increase in
givi [52]

Answer:

The GDP gap is 9 % when there is 4.5 % unemployment.

Step-by-step explanation:

The statement shows a reverse relationship, where an increase in unemployment is following by decrease in potential GDP and can be translated into the following rate:

r = \frac{2\,\% \,GDP}{1\,\% unemp.}

The GDP gap at a given increase in unemployment can be estimated by the following expression:

\frac{g}{u} = r

g = r\cdot u

Where:

r - GDP gap-unemployment increase rate, dimensionless.

u - Increase in unemployment rate, measured in percentage.

g - GDP gap, measured in percentage.

If r = \frac{2\,\% \,GDP}{1\,\% unemp.} and u = 4.5\,\%\,unemp., the GDP gap is:

g = \left(\frac{2\,\%\,GDP}{1\,\%\,unemp.} \right)\cdot (4.5\,\%\,unemp.)

g = 9\,\%\,GDP

The GDP gap is 9 % when there is 4.5 % unemployment.

3 0
3 years ago
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