Answer:
<h3>X=-3</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
<u><em>DISTRIBUTIVE PROPERTY</em></u>
A(B+C)=AB+AC
A(B-C)=AB-AC
3(4x+4) (First, expand.)
3*4x=12x
3*4=12
12x+12
2(5x+9)-12
2*5x=10x
2*9=18
10x+18
18-12=6
12x+12=10x+6
12x+12-12=10x+6-12 (Subtract 12 from both sides.)
6-12 (Solve.)
12-6=6
12x=10x-6
12x-10x=10x-6-10x (Subtract 10x from both sides.)
12x-10x (Solve.)
12x-10x=2x
2x=-6
2x/2=-6/2 (Then, divide by 2 from both sides.)
-6/2 (Solve.)
-6/2=-3
x=-3
As a result, the final answer is x=-3.
Answer:
A AND D ARE CORRECT.
Step-by-step explanation:
IT IS A NUMBER LINE SO IT IS JUST BASIC ADDITION AND SUBTRACTION.
Answer:
x = 1
Step-by-step explanation:
Note that the x-coordinates of the two given points are identical. This tells us immediately that the line is a vertical one whose slope is undefined.
The equation of this line is x = 1.
Answer:
1). The constant of variation is 7
2). w = 6 for the given values of x and y
Step-by-step explanation:
"Varies jointly" tells us that y is a direct result of a mathematic operation involving x and w. We will assume y is directly prorportional to x and w, in the sense that we can find a multiplicative relationship of the form y=Kxw, where K is the constant of variation.
We are given one data point: y=-42 where x is 2 and w is -3. Let's put those values into our trrial expression:
y=Kxw
-42=K(2)(-3)
-42 = -6K
K = 7
<h2>The expression becames <u>
y = 7xw</u></h2>
The constant of variation is 7.
The value of w for y=3 and x=(1/14) would be:
y=7xw
3 = 7*(1/14)*w
3 = (1/2)*w
<h2><u>
w = 6</u></h2>
Answer:
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Step-by-step explanation: