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3 years ago

Write in slope-intercept form an equation of the line that passes through

Mathematics

1 answer:

inn [45]3 years ago

6 0

Step-by-step explanation:

slope= (7-5)/(2-1)

y-int

5=2(1)+c

c=y-int= 3

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Let f(x) = 9x3+ 21x2^ - 14 and g(x) = 3x + 1. Find "<br>f (x) over g (x)

kondor19780726 [428]

Answer:

$\frac{f(x)}{g(x)}=3x^2+6x-2-\frac{12}{3x+1}$

Step-by-step explanation:

The first function is $f(x)=9x^3+21x^2-14$

The second function is $g(x)=3x+1$ .

$\frac{f(x)}{g(x)}=\frac{9x^3+21x^2-14}{3x+1}$

We perform the long division as shown in the attachment to obtain the quotient as: $Q(x)=3x^2+6x-2$ and remainder $R=-12$ .

Therefore:

$\frac{f(x)}{g(x)}=3x^2+6x-2-\frac{12}{3x+1}$

where $x\ne -\frac{1}{3}$

7 0

4 years ago

A retangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 180 yards, what are its di

pishuonlain [190]

W= width
l= 2w= length

Perimeter of a Rectangle Formula
P= 2(l + w)
substitute 2w for l in equation

180= 2(2w + w)
multiply 2 by parentheses

180= 4w + 2w
combine like terms

180= 6w
divide both sides by 6

30 yards= w

LENGTH
2w= 2(30)= 60 yards

CHECK:
180= 30 + 60 + 30 + 60
180= 90 + 90
180= 180

ANSWER: the width is 30 yards and the length is 60 yards

Hope this helps! :)

5 0

3 years ago

What is the slope of a line with the coordinates 0,9 and -3,4

Semmy [17]

Answer:

The answer is -5/3

Step-by-step explanation:

<h3><u>Given</u>;</h3>

x₁ = 0 and x₂ = (-3)
y₁ = 9 and y₂ = 4

Slope of a line

m = y₂ – y₁ ÷ x₂ – x₁

Now,

m = y₂ – y₁ ÷ x₂ – x₁

m = 4 – 9 ÷ 0 – (-3)

m = -5 ÷ 3

m = -5/3

Thus, The slope is -5/3

<u>-TheUnknownScientist 72</u>

6 0

2 years ago

Read 2 more answers

Anyone please help!!!

tatuchka [14]

Answer:

The answer is D.

Step-by-step explanation:

When you subtract 9 from h, the word “then” is a key term that means it’s usually in parentheses. Then you divide three.

6 0

3 years ago

A certain large manufacturing facility produces 20,000 parts each week. The manager of the facility estimates that about 1% of t

Slav-nsk [51]

Answer:

198 is the variance for the number of defective parts made each week.

Step-by-step explanation:

We are given the following in the question:

Number of parts produced each week = 20,000

Percentage of defective parts = 1%

We have to calculate the variance for the number of defective parts made each week.

We treat defective part as a success.

P(Defective part) = 1% = 0.01

$p = 0.01$

Then the number defective parts follows a binomial distribution .

Formula for variance =

$\sigma^2 = np(1-p) = 20000(0.01)(1-0.01) = 198$

Thus, 198 is the variance for the number of defective parts made each week.

8 0

4 years ago