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3 years ago

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Let f(x) = 3x + 7 and g(x) = 2x - 11. Find (f + g)(x). Do not put any spaces between numbers, variables and symbols.

1 answer:

kupik [55]3 years ago

3 0

f(x) = 3x + 7

+ <u>g(x) </u>= <u>2x - 11</u>

f(x) + g(x) = 5x = 4

(f + g)(x) = 5x - 4

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The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.

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Answer:

$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

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Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

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So far we have the equation:

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Let's enter the other points creating a system of linear equations to solve:

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Let's simplify:

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Let's subtract 3 on both sides:

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I choose to solve the system by elimination.

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Divide both sides by 24:

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Now using one of the equations we can find $b$ :

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$5=4\frac{-13}{24}+2b$

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Add 13/6 on both sides:

$5+\frac{13}{6}=2b$

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Divide both sides by 2:

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So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

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$\frac{-13}{24}+\frac{43}{12}+3$

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$\frac{145}{24}$

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