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Y=4x-18<br><br> Find ordered pairs of intercepts of each line

Masja [62]

The ordered pairs for the intercepts are as follows:

x intercept = 9/2

y intercept = -18

In order to find either of these you must put 0's in for the other variable. So, to find the x intercept, we start by putting 0 in for y.

y = 4x - 18

0 = 4x - 18

-4x = -18

x = 9/2

To find the y intercept, we put a 0 in for x.

y = 4x - 18

y = 4(0) - 18

y = 0 - 18

y = -18

5 0

2 years ago

For the rational expression 2x^2-7x-15/x^2-25, do both of the following,

Mrrafil [7]

Answer:

a. $\frac{2x + 3}{x+5}$

b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)

Step-by-step explanation:

Factor the numerator (Grouping):

$2x^2 - 7x - 15$

Two numbers that multiply to -30 and add to -7 = -3 and 10

$[2x^2 - 10x] + [3x - 15]$

$(2x + 3)(x - 5)$

Factor the denominator (Difference of Two Squares):

$x^2 - 25$ = $(x +5)(x-5)$

Factored Expression:

(x - 5) can be factored out of top and bottom as a hole-

$\frac{(2x + 3)(x - 5)}{(x + 5)(x - 5)} = \frac{2x + 3}{x+5}$

Variable Restrictions:

Denominator ≠ 0

$x + 5 = 0\\x = -5$

Vertical asymptote at x = -5 ⇒ x ≠ -5

3 0

2 years ago

A grocery store sells salmon fillets in package that contains at least 3 fillets of salmon,but no more than 5.which of the follo

34kurt

Answer: 18 ≤ 6*S ≤ 30

Where S is the number of salmon fillets in one single package.

Step-by-step explanation:

Let's define S as the number of salmon fillets in one package.

We know that it contains at least 3, and no more than 5, then we can write:

3 ≤ S ≤ 5

Now we want to know the total number of salmon fillets that could be on 6 packages, then if S is the number of salmon fillets in one package, 6*S will e the number of salmon fillets in 6 packages.

We can find this by multiplying the inequality:

3 ≤ S ≤ 5

by 6.

We get:

6*3 ≤ 6*S ≤ 6*5

18 ≤ 6*S ≤ 30

Then in 6 packages, we could have any number between 18 and 30 fillets of salmon.

8 0

2 years ago

To join a Yoga Class at The Yoga Emporium the cost is

QveST [7]

The answer is 5x+50=y
Because you have to pay 50 dollars to get a lesson you have to pay it plus the number of lessons multiplied by the price.

3 0

2 years ago

Read 2 more answers

What is tan theta when csc theta =2 sqrt 3?

Slav-nsk [51]

Answer:

$\displaystyle \tan\theta=\frac{\sqrt{11}}{11}$

Step-by-step explanation:

<u>Trigonometric Identities</u>

If the trigonometric function value of an angle is given, we can find the rest of the trigonometric values of the angle by using one or more of the fundamental identities.

To solve this problem, we need to use the following identities:

$\displaystyle \cot^2\theta=\csc^2\theta-1$