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qaws [65]
3 years ago
6

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

Mathematics
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.
andrey2020 [161]

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)

(6,5)

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.

The y-intercept for our graph is 3. Therefore, c=3.

So far we have the equation:

y=ax^2+bx+3.

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

8=a(2)^2+b(2)+3

5=a(6)^2+b(6)+3

Let's simplify:

8=4a+2b+3

5=36a+6b+3

Let's subtract 3 on both sides:

5=4a+2b

2=36a+6b

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

-15=-12a-6b

2=36a+6b

Now adding the equations results in:

-13=24a

Divide both sides by 24:

\frac{-13}{24}=a

Now using one of the equations we can find b:

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

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

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

Add 13/6 on both sides:

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

\frac{30+13}{6}=2b

\frac{43}{6}=2b

Divide both sides by 2:

\frac{43}{2(6)}=b

\frac{43}{12}=b

So we have the equation:

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

Let's evaluate a+b+c now:

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

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\frac{73+72}{24}

\frac{145}{24}

4 0
3 years ago
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Dahasolnce [82]

Answer:

c. 59.3 ft²

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= ½ × (78.5+40)

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7 0
3 years ago
Which expression best represents Maria's age if she is 1 3 of her father's age?
Anna71 [15]
Please paste the answer choices next time....
The expression should include a variable for marias age compared to a variable for her fathers

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5 0
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Marat540 [252]

Answer:

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Answer:

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