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3 years ago

F(x) = -3x – 1 g(x) = 3x2 – 5x + 14 Find: f(g(x))

Mathematics

1 answer:

MAVERICK [17]3 years ago

6 0

Answer:

Step-by-step explanation:

f(x)=-3x-1

g(x)=3x²-5x+14

f(g(x))

f(3x²-5x+14)

3(-3x-1)²-5(-3x-1)+14

3(9x²+6x+1)+15x+5+14

27x²+18x+3+15x+19

f(g(x))=27x²+33x+22

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Which of the following correctly shows the distributive property?

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3 years ago

PLEASE ANSWER ASAP: Miriam bought 64 pounds of popcorn she kept 1/4 for her family then gave 1/8 of the remainder to her club an

saw5 [17]

Answer:

84 ounces

Step-by-step explanation:

Total pounds of popcorn bought = 64 pounds

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5 0

2 years ago

Read 2 more answers

P (6,6) y=2/3x

matrenka [14]

Answer:

$y = -\frac{3}{2}x+15$

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

$y = \frac{2}{3}x$

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

$y = \frac{2}{3}x$

Now, we compare the given equation by standard form $y = mx +c$

So, slope of the line $m_{1} = \frac{2}{3}$ , and

y-intercept $c=0$

We know that the slope of the perpendicular line $m_{1}\times m_{2} = -1$

$m_{2}=-\frac{1}{m_{1}}$

$m_{2}=-\frac{1}{\frac{2}{3} }$

$m_{2}=-\frac{3}{2}$

So, the slope of the perpendicular line $m_{2}=-\frac{3}{2}$

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

$y=mx+c$

Substitute point $P(x_{1}, y_{1})=P(6, 6)$ and $m = m_{2}=-\frac{3}{2}$

$6=-\frac{3}{2}\times 6 +c$

$6=-3\times 3 +c$

$c=6+9$

$c=15$

So, the y-intercept of the perpendicular line $c=15$

Using point slope formula.

$y=mx+c$

Substitute $m = m_{2}=-\frac{3}{2}$ and $c=15$ in above equation.

$y = -\frac{3}{2}x+15$

Therefore: the equation of the perpendicular line $y = -\frac{3}{2}x+15$

8 0

3 years ago

Bx-6y=18 and 2x-3y=9

Sloan [31]

X - 6y=18
2x-3y=9 |*-2

x -6y=18
-4x+6y=-18
----------------
-3x=0, x=0

2x-3y=9
2*0-3y=9
-3y=9, y=-9/3, y= -3

4 0

4 years ago