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3 years ago

11

Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).

1 answer:

Tamiku [17]3 years ago

3 0

Our quadratic polynomial function is:

f(x) = 4x^2 + 2x + 5

our linear binomial form is:
x - a = -2
hence:
a = x + 2

and so we have:
f(x) = 4x^2 + 2x + 5
f(a) = 4(x + 2)^2 + 2<span>(x + 2)</span> + 5
= 4(x^2 + 4x + 4) + 2x + 4 + 5
f(a) = 4x^2 + 18x + 25

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PLEASE HELP!!!!!

leva [86]

Answer:

11.7 units

Step-by-step explanation:

sq root(2--4)^2+(-7-3)^2

sq root(6)^2 + (-10)^2

sq root (36)+(100)

sq root 136

equals 11.66 which rounds up to 11.7

6 0

3 years ago

What is the slope of a line perpendicular to the line whose equation is 3x+6y=-183x+6y=−18. Fully reduce your answer.

schepotkina [342]

Answer:

2

Step-by-step explanation:

The given equation of line is

$3x+6y=-18$

We need to find the slope of a line which is perpendicular to the given line.

The given equation can be rewritten as

$3x+6y+18=0$ ...(i)

If a line is defined as $ax+bx+c=0$ , then the slope of the line is

$m=-\dfrac{a}{b}$

In equation (i), a=3, b=6 and c=18. So, slope of the line is

$m_1=-\dfrac{3}{6}=-\dfrac{1}{2}$

Let $m_2$ be the slope of perpendicular line.

We know that product of two perpendicular line is -1.

$m_1\cdot m_2=-1$

$(-\dfrac{1}{2})\cdot m_2=-1$

Multiply both sides by -2.

$m_2=2$

Therefore, the slope of perpendicular line is 2.

6 0

3 years ago

Y=-2x+3???????????????????????

Ksju [112]

Answer:

Step-by-step explanation:

make y=0

0=-2x+3 (Switch the 3 sides)

-3=-2x (Divide everything by -2, cant have a negative x)

2/3=x or 0.66=x

7 0

2 years ago

Maria stated that 5/6 is between 4/5 and 6/7<br> Do you agree? Give reasons for your answer.

ira [324]

Answer:

Yes, because look at the below work.

Step-by-step explanation:

Step 1: Find the Common Denominator

The common denominator is 210

5/6 * 35/35 = 175/210

4/5 * 42/42 = 168/210

6/7 * 30/30 = 180/210

5/6 is between 4/5 and 6/7 because 4/5 = 168/210 which is less than 5/6 which is 175/210 and 5/6 is less than 6/7 which is 180/210.

So, yes I agree with Maria

3 0

3 years ago

Read 2 more answers

Thr value of k if x-1 is a factor of 2x^3 +3 kx^2+2x-1

dybincka [34]

Answer:

-2/3

Step-by-step explanation:

put 1 in x should be 0

k is -2/3

8 0

3 years ago