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3 years ago

If f(x)=x+2 and g(x)=3x^2+7x find (f x g)(x)

Mathematics

1 answer:

jek_recluse [69]3 years ago

6 0

Answer:

3x³ + 13x² + 14x

Step-by-step explanation:

(f × g)(x)

= f(x) × g(x)

= (x + 2)(3x² + 7x)

= x(3x² + 7x) + 2(3x² + 7x) ← distribute parenthesis

= 3x³ + 7x² + 6x² + 14x ← collect like terms

= 3x³ + 13x² + 14x

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Use Midpoint and Slope Formulas to complete the tables below.1. Find the midpoint of RP, given the coordinates R (5, 8) and P (3

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The midpoint formula for a segment is:

$x_m,y_{_m}=\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}$

apply to points R and P

$\begin{gathered} x_m,y_m=\frac{(5+3)}{2},\frac{(8+6)}{2} \\ x_m,y_m=\frac{8}{2},\frac{14}{2} \\ x_m,y_m=(4,7) \end{gathered}$

using the definition of slope find the slope of the segment

$m=\frac{y_2-y_1}{x_2-x_1}$

apply to points R and P

$\begin{gathered} m=\frac{8-6}{5-3} \\ m=\frac{2}{2} \\ m=1 \end{gathered}$

to lines are parallel when the slopes are the same

$\mleft\Vert m=1\mright?$

two lines are perpendicular when the product of the slopes is equal to -1

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1 year ago

If the area of the following parallelogram is 30 square centimeters, what is the length of the base?

sleet_krkn [62]

Answer:

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Step-by-step explanation:

8 0

3 years ago

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Which of the following statements could be translated to the equation n-5=-2?

Klio2033 [76]

Answer:

The difference between a number and five is negative two.

Step-by-step explanation:

n-5=difference between a number and five

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3 years ago

Perform the indicated operation. Simplify the result in factored form.

guajiro [1.7K]

Answer:

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2 years ago

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yuradex [85]

Answer:

An equation is 92 + 2x = 180.

The congruent angles each measure 44°.

Step-by-step explanation:

1. If two angles in a triangle are congruent and unknown, we can represent that as 2x. That means 92 + 2x = 180.

2. To find the measure of each congruent angle, x, we have to solve the equation above.

Step 1: Simplify both sides of the equation.

$2x + 92 = 180$

Step 2: Subtract 92 from both sides.

$2x + 92 - 92 = 180 - 92$
$2x = 88$

Step 3: Divide both sides by 2.

$\frac{2x}{2} = \frac{88}{2}$
$x = 44$

x = 44 means that the congruent angles each measure 44°.

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2 years ago

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