Answer: To find the slope of this line, you would use the fomula
y2 - y1/ x2 - x1
11 - 3 / 1 - (-1)=
8/2
4
The slope of your line would be 4
Answer:
6.
Step-by-step explanation:
|2y-2| when y = 2
= |2(-2)-2|
= |-4 - 2|
= |-6|
= 6.
![\bf \cfrac{x}{4x+x^2}\implies \cfrac{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(4+x)}\implies \cfrac{1}{4+x}\qquad \{x|x\in \mathbb{R}, x\ne -4\}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bx%7D%7B4x%2Bx%5E2%7D%5Cimplies%20%5Ccfrac%7B%5Cbegin%7Bmatrix%7D%20x%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%20x%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%284%2Bx%29%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B4%2Bx%7D%5Cqquad%20%5C%7Bx%7Cx%5Cin%20%5Cmathbb%7BR%7D%2C%20x%5Cne%20-4%5C%7D)
if you're wondering about the restriction of x ≠ -4, is due to that would make the fraction with a denominator of 0 and thus undefined.
To make a dot plot, make a numbered line and add dots above the numbers of the given ages. If there are more than one of the same number, add a dot above the dot already there.
See attached picture:
The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75
Step-by-step explanation:
Let,
Cost of one shirt = x
Cost of pair of jeans = y
According to given statement;
4x+3y=124.25 Eqn 1
3x+5y=161.25 Eqn 2
Multiplying Eqn 1 by 3

Multiplying Eqn 2 by 4

Subtracting Eqn 3 from Eqn 4

Dividing both sides by 11

Putting 24.75 in Eqn 1

Dividing both sides by 4

The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75
Keywords: linear equation, elimination method
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