All categories

3 years ago

If p(x) = X squared -1 and q(x) = 5(x-1), which expression is equivalent to (p-q)(x)

1 answer:

8 0

Minus the functions
(p-q)(x)=p(x)-q(x)
p(x)= $x^2-1$
q(x)=5(x-1)

p(x)-q(x)= $x^2-1$ -5(x-1)
p(x)-q(x)= $x^2-1$ -5x+5
p(x)-q(x)= $x^2-5x+4$
(p-q)(x)= $x^2-5x+4$
or factored
(p-q)(x)=(x-4)(x-1)

You might be interested in

Can someone please help me

patriot [66]

Answer:

$y = + - \sqrt[4]{ \frac{3}{2} x}$

3 0

3 years ago

Fine the surface of one yard.<br><br>please help .-.

ale4655 [162]

Answer:

1) 34 square meters

2) 21 square yards

Step-by-step explanation:

1) 7x4=28

1/2x3x2x2=6

28+6= 34 square meters

2)3x3=9

1/2x3x2x4=12

9+12= 21 square yards

6 0

3 years ago

At summer camp, campers were asked to name their favorite sport. The circle graph shows the percent of campers who preferred eac

vladimir1956 [14]

I would say 260

Hope I helped

5 0

3 years ago

Read 2 more answers

The temperature rises 2°C each hour from 6:00 a.m. to 3:00 p.m. What is the total change in temperature during this period of ti

KATRIN_1 [288]

Answer:

18 degrees c

Step-by-step explanation:

9•2=18

8 0

3 years ago

Plot six lines. Each line should pass through the origin and one of the six points. One is done for you.

frutty [35]

<h3>Solution (Line 2): <u>(Refer to graph 1)</u></h3>

Given points: (0, -2) and (1, -4)
Slope formula: Rise/Run
Point slope form formula: y - y₁ = m(x - x₁)

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

<u>Use the slope formula to find the slope.</u>

Rise/Run = Slope
=> Rise = -2; Run = 1
=> Rise/Run = -2/1 = -2

<u>Use the point slope form formula.</u>

y - y₁ = m(x - x₁) = Equation of line.
=> y - (-4) = -2(x - 1) = Equation of line.
=> y + 4 = -2x + 2
=> y = -2x + 2 - 4
=> y = -2x - 2

<h3>Solution (Line 3): <u>(Refer to graph 2)</u></h3>

Given points: (0, -2) and (-4, 3)
Slope formula: Rise/Run
Point slope form formula: y - y₁ = m(x - x₁)

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

<u>Use the slope formula to find the slope.</u>

Rise/Run = Slope
=> Rise = -5; Run = 4
=> Rise/Run = -5/4

<u>Use the point slope form formula.</u>

y - y₁ = m(x - x₁) = Equation of line.
=> y - 3 = -5/4{x - (-4)} = Equation of line.
=> y - 3 = -5/4{x + 4}
=> y - 3 = -5x/4 - 5
=> y = -5x/4 - 2

<h3>Solution (Line 4): <u>(Refer to graph 3)</u></h3>

Given points: (0, -2) and (-3, -5)
Slope formula: Rise/Run
Point slope form formula: y - y₁ = m(x - x₁)

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

<u>Use the slope formula to find the slope.</u>

Rise/Run = Slope
=> Rise = 3; Run = 3
=> Rise/Run = 3/3 = 1

<u>Use the point slope form formula.</u>

y - y₁ = m(x - x₁) = Equation of line.
=> y - (-5) = 1{x - (-3)} = Equation of line.
=> y - (-5) = 1{x + 3}
=> y + 5 = x + 3
=> y = x - 2

Hoped this helped!

5 0

3 years ago