Answer:
length = 2w - 3
l = length
w = width
2(length) + 2(width) = perimeter
2(2w - 3) + 2(w) = 60
6w -6 =60
w = 11
len = 2(11) - 3
Step-by-step explanation:
X^2 -3x -28
= x^2 -7x +4x -28
= x(x -7) +4(x -7)
= (x +4)(x -7)
9. B, C, E
10. I’m not sure but, $3.79a + $1.29p
For each of these problems, all you need to do is isolate the variable. I’ll do the first few to help you out :)
32) 7 = -12 + e
Add 12 to both sides to isolate e.
19 = e
35) (r + 4) + 2 = 1
Subtract 2 from both sides.
r + 4 = -1
Subtract 4 from both sides to isolate r.
r = -5
38) -2 + (1 + p) = 5
Add 2 to both sides.
1 + p = 7
Subtract 1 from both sides to isolate p.
p = 6.
So essentially, all you need to do is add and subtract from each side to isolate the variable given in each problem. :)
Extra tip: In order to get rid of a number on one side (to isolate a variable), you must perform the opposite operation. For example, -2 + x = 1. In order to isolate x, add 2 to the left side to get rid of it, as well as adding it onto the right side so that it is not erased completely to get x=3)
Solve the inequality for x:
5x - 3 ≤ 7x +7
Subtract 7x from each side:
-2x -3 ≤ 7
Add 3 to each side:
-2x ≤ 10
Divide both sides by -2, also when dividing both sides of an inequality you flip the direction of the inequality sign:
x ≥ -5
The dot will be on -5, because the inequality includes equal to, the dot is solid and is greater than, the arrow will point to the right.
The correct answer is D.
