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prisoha [69]
3 years ago
10

If p(x) = x2 - 1 and q(x) = 5(x-1), which expression is equivalent to (p-q)(x)?

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer:

x² - 5x + 4

Step-by-step explanation:

Note that (p - q)(x) = p(x) - q(x)

p(x) - q(x)

= x² - 1 - 5(x - 1) ← distribute

= x² - 1 - 5x + 5 ← collect like terms

= x² - 5x + 4

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What is m = -8; (-2, 16) in slope intercept form? :)
zimovet [89]

Answer:

y = -8x

Step-by-step explanation:

First let's look at what slope-intercept form is.

y = mx + b

m is the slope, which in this case is -8.

b is the y-intercept, which we will find later.

Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.

y = mx + b

16 = -8(-2) + b

Let's simplify this to find b.

[multiply] 16 = 16 + b

[subtract 16] 0 = b

We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.

y = -8x

This is your equation.

Check this by plugging in the point again.

16 = -8(-2)

[multiply] 16 = 16

This expression is true; therefore, your answer is correct.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Which of the following is the equation for the line of symmetry in this figure?
beks73 [17]
D. drawing a vertical line x = 3 cuts the figure in symmetrical shape therefore equation for line of symmetry should be
x =3
3 0
3 years ago
A pilot took off and brought her airplane to an elevation of 15,000 feet. Over the next 2 hours, the pilot change the elevation
Strike441 [17]
15,000 - 2,500
=12,500 + 3,000
=15,500 - 1,000
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3 0
4 years ago
A pennant is shaped like a right triangle with a hypotenuse of 10feet. The length of one side of the pennant is two feet longer
marissa [1.9K]

Answer:

6 ft and 8 ft

Step-by-step explanation:

let x be the length of one leg then (x + 2) is the other leg.

Using Pythagoras' identity in the right triangle, that is

x² + (x + 2)² = 10² ← expand left side and simplify

x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide all terms by 2 )

x² + 2x - 48 = 0 ← in standard form

(x + 8)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

But x > 0 ⇒ x = 6

Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft

6 0
4 years ago
Select the word that means a refusal to buy or use something in order to bring about change.
eimsori [14]

Answer:

the word is boycott

Step-by-step explanation:

A boycott means to purposely refuse to use or buy a product. It is to intentionally cause a form of absenteeism in dealing with a person,a company, an organization or the government. Boycots are usually a form of protests for social, moral or political causes.it has proven overtime to be a ver useful way of protest.

from the question Chavez had led workers on a protest against grape growers. And as a way of seeing that their demands are met, people stopped eating grapes (this is a boycott).

5 0
4 years ago
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