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In-s [12.5K]
3 years ago
14

If f(x)=x/4 -3 and g(x)= 4x^2 +2x-4, find (f+g)(x).

Mathematics
1 answer:
Bond [772]3 years ago
5 0

(f+g)x = f(x)+g(x)

Therefore,

\frac{x}{4}  - 3 +  {4x}^{2}  + 2x - 4 \\ 4 {x}^{2}  + ( \frac{x}{4}  +  \frac{8x}{4} ) - 7 \\ 4 {x}^{2}  +  \frac{9x}{4}  - 7

Therefore, the answer is B.

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Do any numbers multiply into 7 and add up to 8? or is it unfactorable
faltersainse [42]
1
1x7=7
1+7=8
1 is the answer
5 0
3 years ago
Translate the sentence into an equation. Four times the difference of a number and 5 is 24.
givi [52]
4\ times\to4\times\\difference\ of\ a\ number\ "c"\ and\ 5\to c-5\\is\ equal\ 24\to=24\\\\4\times(c-5)=24\\\\Answer:\boxed{a.}
3 0
3 years ago
the inequality |t-57|<7 describes the range of monthly average temperature, T, in Degrees Fahrenheit, for san Francisco, Cali
Y_Kistochka [10]

<u>Solution</u> is:  50\leq T\leq 64 and it means, the minimum temperature is 50° Fahrenheit and the maximum temperature is 64° Fahrenheit.

<u><em>Explanation</em></u>

Given inequality is:   |T-57|\leq 7

As this is absolute inequality, so we will get two different inequalities-- one for positive and another for negative. So.....

T-57\leq 7\\ \\ T\leq 7+57\\ \\ T\leq 64

and

-(T-57)\leq 7\\ \\ -T+57\leq 7\\ \\ -T\leq 7-57\\ \\ -T\leq -50\\ \\ T\geq 50

So, the final combined solution will be:  50\leq T\leq 64

<em>It means that the minimum temperature for San Francisco, California is 50° Fahrenheit and the maximum temperature is 64° Fahrenheit.</em>


7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cpi%20%20x%5E%7B2%7D%20" id="TexFormula1" title=" \pi x^{2} " alt=" \pi x^{2} " align="
ANEK [815]

The formule is about area of a circle.

\pi x^{2} = a

We need to solve the equation for x. Where x is the radius of the circle.

In order to solve it for x, we need isolate it for x on left side.

So, first we need to get rid pi from left side.

On dividing both sides by pi, we get

\frac{\pi x^2}\pi}=\frac{a}{\pi}

x^2=\frac{a}{\pi}

Taking square root on both sides, we get

\sqrt{x^2}=\sqrt{\frac{a}{\pi}}

x=\sqrt{\frac{a}{\pi}}


4 0
3 years ago
Use commutative property of addition to collect like terms 23y-(7x-2y)+x
oksano4ka [1.4K]
The like terms are 23y & 2y and 7x & x because they have the same variables
5 0
3 years ago
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