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3 years ago

Find the slope and y-intercept of the graph of the equation. show your work please.

Mathematics

1 answer:

choli [55]3 years ago

5 0

Answer:

<h2>A. the slope is 8.</h2><h2>A. the y-intercept is 1</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation y = 8x + 1.

Therefore:

m = 8, b = 1

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Felicity's dog eats no more than two cups of dog food per day. Felicity's dog eats at least one-quarter cup more than one-half o

horrorfan [7]

Answer:

$\frac{1}{4}+\frac{m}{2} \leq x\leq 2$

$x$ denotes amount of food that Felicity's dog eats

Step-by-step explanation:

Given:

Felicity's dog eats no more than two cups of dog food per day.

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.

The amount of food that Martin's dog eats is represented by using $m$

To find: the inequality that represents the situation

Solution:

Amount of food that Martin's dog eats = $m$

Amount of food that Felicity's dog eats ≤ 2

Also,

Amount of food that Felicity's dog eats $\geq \frac{1}{4}+\frac{m}{2}$

Therefore,

$\frac{1}{4}+\frac{m}{2}\leq$ Amount of food that Felicity's dog eats ≤ 2

Let $x$ denotes amount of food that Felicity's dog eats.

$\frac{1}{4}+\frac{m}{2}$ ≤ $\frac{1}{4}+\frac{m}{2} \leq x\leq 2$

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2 years ago

Simplify -x(4x^2 − 6x + 1)

12345 [234]

Answer:

$-4x^3+6x^2-x$

Step-by-step explanation:

1. Distribute the X across the equation: $-x(4x^2)=-4x^3\\$

2. $-x(-6x)=6x^2$

3. $-x(1)=-x$

3. $-4x^3+6x^2-x$

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1 year ago