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tresset_1 [31]
3 years ago
15

Given f(x) = 3x -1 & g(x)= -x + 6, find f(-2) + g(5)​

Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0

Answer:

When added together, the sum of the given functions have a value of -6.

Step-by-step explanation:

When we see f(-2), it means that our value of x for the f(x) function is -2. When we see g(5), it means that our value of x for the g(x) function is 5. So, let's use this information and plug it into our equation.

f(-2) + f(5) = (3(-2) - 1) + (-(5) + 6)

Multiply 3 by -2 and distribute the negative to 5.

f(-2) + f(5) = (-6 - 1) + (-5 + 6)

Subtract 1 from -6 and add 6 to -5.

f(-2) + f(5) = (-7) + (1)

Add 1 to -7.

f(-2) + f(5) = -6

So, when added, the sum of the functions is -6.

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Step by step explanation
I am bad at explaining things
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The same go for group B
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3 years ago
If you divide one of the roots of the equation 4x2+bx−27=0 by the other root, the quotient will be −3. Find b.
klio [65]
<h3>Answer:</h3>

  ±12   (two answers)

<h3>Explanation:</h3>

Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:

  (<em>a</em>)(-3<em>a</em>) = -27/4

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Then the other root is

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We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...

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_____

<em>Check</em>

For b = 12, the equation factors as ...

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  It has roots -9/2 and +3/2, the ratio of which is -3.

For b = -12, the equation factors as ...

  4x² -12x -27 = (2x +3)(2x -9) = 0

  It has roots 9/2 and -3/2, the ratio of which is -3.

4 0
3 years ago
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