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3 years ago

Find the slope of the line.

Mathematics

2 answers:

scoundrel [369]3 years ago

7 0

The points we can clearly see are (-2,-2) and (0,-3). You have to rise up 2 points and got to the left 4, so the rise over run is 2 over -4. Simplify this to -1/2, so the slope is negative 1/2.

Dovator [93]3 years ago

7 0

Answer:

The slope of the line is $-\frac{1}{2}$

Step-by-step explanation:

To know the slope of a line we can have the equation or to know points of the line. In this case from the graph we can get to points (-4,-1) and (0,-3). Having this and using the equation to calculate the slope, we have:

$m=\frac{y2-y1}{x2-x1}$

Defining:

$(x1=-4,y1=-1)$ and $(x2=0,y2=-3)$

Replacing this values in the initial equation, this is:

$m=\frac{-3-(-1)}{0-(-4)}$

$m=\frac{-2}{4} =-\frac{1}{2}$

The slope of the line is $-\frac{1}{2}$

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Determine the value of a, b, and c for the quadratic equation: 4x2- 8x = 3

Rufina [12.5K]

Answer:

B. a = 4, b = -8, c = -3

Step-by-step explanation:

The quadratic equation given is:

$4x^2- 8x = 3$

The general form of a quadratic equation is given as:

$ax^2 + bx +c = 0$

Let us put the given equation in this form and then compare with the general form of the quadratic equation.

$4x^2- 8x = 3\\\\4x^2 - 8x - 3 = 0$

Therefore, by comparing:

a = 4

b = -8

c = -3

The correct option is B

4 0

3 years ago

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax how much did she pay

saul85 [17]

Answer:

Kerry should pay = 155520

Step-by-step explanation:

Total amount paid = 14,4000 + 8% of 14,4000

It is given that,

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax

8% of 14,4000 = (8*144000)/100 = 11520

<u>To find total amount paid</u>

Total amount paid = 14,4000 + 8% of 14,4000

= 14,4000 + 11520 =155520

Therefore Kerry should pay = 155520

4 0

3 years ago

Find the remainder for the quotient using either substitution or synthetic division.

zaharov [31]

(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.

<h3>What is a factor of a polynomial?</h3>

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial function f(x) = x³ - x² - 17x -15.

If (x - 5) is it's factor then f(5) = 0.

∴ f(x) = x³ - x² - 17x -15.

f(5) = 5³ - 5² - 17(5) - 15.

f(5) = 125 - 25 - 85 - 15.

f(5) = 0.

So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.

learn more about factor of a polynomial here :

brainly.com/question/26354419

#SPJ1

7 0

1 year ago

A red container has 18 marbles. 5 of the marbles are black. Rest of the marbles are white and red. What additional information i

AveGali [126]

Your answer will be:

The total number of marbles that are not black.

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3 years ago

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zepelin [54]

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2 years ago