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3 years ago

A line passes through the point (-8,9) and has a slope of 5/4.

Mathematics

1 answer:

Masteriza [31]3 years ago

5 0

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (-8,9) and slope 5/4

The equation of the line is

$y - 9 = \frac{5}{4} (x + 8) \\ y - 9 = \frac{5}{4} x + 10 \\ y = \frac{5}{4} x + 10 + 9$

We have the final answer as

$y = \frac{5}{4} x + 19 \\$

Hope this helps you

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A store is having a sale in which all items are reduced by 20%. Including tax, Jennifer paid $21 for a pair of shorts. If the sa

Tju [1.3M]

Answer: the original price of the shorts was $25

Step-by-step explanation:

Let x represent the original price of the shorts.

The store is having a sale in which all items are reduced by 20%. This means that the amount of discount on the shorts is

20/100 × x = 0.2x

The price of the shorts would be

x - 0.2x = 0.8x

If the sales tax is 5%, then the amount of sales tax charged is

5/100 × 0.8x = 0.04x

The final cost of the shorts would be

0.8x + 0.04x = 0.84x

Including tax, Jennifer paid $21 for a pair of shorts. This means that

0.84x = 21

x = 21/0.84

x = 25

5 0

3 years ago

4 1/2 + 1 + 2 + 1 1/2 + 4 + 1/2

mafiozo [28]

Your answer would be 17 1/2

7 0

3 years ago

In Exercise,find the horizontal asymptote of the graph of the function.<br> f(x) = 8x^3+2/2x^3+x

KIM [24]

Answer:

Horizontal asymptote of the graph of the function f(x) = (8x^3+2)/(2x^3+x) is at y=4

Step-by-step explanation:

I attached the graph of the function.

Graphically, it can be seen that the horizontal asymptote of the graph of the function is at y=4. There is also a <em>vertical </em>asymptote at x=0

When denominator's degree (3) is the same as the nominator's degree (3) then the horizontal asymptote is at (numerator's leading coefficient (8) divided by denominator's lading coefficient (2)) $y=\frac{8}{2}=4$