Answer:
-4
Step-by-step explanation:
The function is linear; therefore, the slope of the line joining any two points is the same.
We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).
The slope
of the line joining the points is

The slope of the function is -4.
8x+4 = 6x-10
To solve for x you'll want to move all the terms containing x onto the left side of the equation and all the other terms on the right side of the equation.
1. Subtract 6x from both sides.
2x+4 = -10
2. Subtract 4 from both sides.
2x = -14
3. Divide both sides by 2.
x = -7
Answer is:
-7
Answer:
length= 24 inches
width= 7 inches
Step-by-step explanation:
Start by writing down what you know.
width= w
length= 3w+3
Then, we can substitute into the perimeter of a rectangle equation, P=2l+2w.
62= 2(3w+3) + 2(w)
62=6w+6+2w
62=8w+6
56=8w
7=w
Now, plug this into our original equations for length and width:
width=7
length= 3(7)+3, so 24
Answer:
Step-by-step explanation:
we have to see where the two graphs intercept
it happens when x = 0 and when x = 1
Answer:
x<3
Step-by-step explanation:
3x - 4 < 17 - 4x
So, the -4 shall cross to the other side and replace the -4x which will now take the place of where the -4 used to be and the signs of both digits will change to a positive (+)
Remember the inequality sign (<) shall not change
so now the equation shall appear like this;
3x + 4x < 17 + 4
add both sides and it will appear like this;
7x < 21
simplify both sides by 7 and you'll get
x < 3