At is the sum of the four times the largest negative integer and the small- est positive integer?

Mathematics

1 answer:

mario62 [17]3 years ago

8 0

$4\cdot(-1)+1=-4+1=-3$

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Which function is best represented by this graph?

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Answer:

y= $\frac{2}{7}$ x-2

Step-by-step explanation:

Slope intercept form is a way to describe a function using its slope and y-intercept and is written as y=mx+b.

m=slope

b=y-intercept

Looking at the graph we can see it goes through x=0 at y=-2 making -2 the y-intercept.

Then we must solve for slope, slope is rise/run. From the point (0,-2) the function travels to (7,0).

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What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3

andrew-mc [135]

Solve 4x − 3y = 3 and 5x − 4y = 3

Step 1: Solve for x in 4x-3y=3:
4x-3y=3
4x-3y+3y=3+3y [Add 3y to both sides]
4x=3y+3
 $\frac{4x}{4} = \frac{3x+3}{4}$ [Divide both sides by 4]
x= $\frac{3}{4}y+ \frac{3}{4}$

Step 2: Substitute $\frac{3}{4}y+ \frac{3}{4}$ for x in 5x-4y=3
5x-4y=3
5( $\frac{3}{4}y+ \frac{3}{4}$ )-4y=3
 $\frac{-1}{4}y+ \frac{15}{4} =3$
$\frac{-1}{4}y+ \frac{15}{4} - \frac{15}{4} =3- \frac{15}{4}$ [Subtract $\frac{15}{4}$ to both sides]
$\frac{-1}{4}y= \frac{-3}{4}$
$\frac{ \frac{-1}{4}y}{ \frac{-1}{4} }= \frac{\frac{-3}{4} }{ \frac{-1}{4}}$ [Divide both sides by $\frac{-1}{4}$ ]
y = 3

Step 3: Substitute 3 for y in x = $\frac{3}{4}y+ \frac{3}{4}$
$\frac{3}{4}y+ \frac{3}{4}$
$\frac{3}{4}(3)+ \frac{3}{4}$
x = 3

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What is the value of X? Enter your answer in the box.

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