Answer:
22
Step-by-step explanation:
The line where it says 2cm, extend that line to the top. You know have 2 triangles, call the one on the left A and the one on the right B
area of recntangle = bh
Rect A:
b = 5
h = 4 - 2
h = 2
bh = 5 x 2
bh = 10
Rect B:
b = 3
h = 4
bh = 4 X 3
bh = 12
Total = 10 + 12
Total = 22
Answer: D) Number of yards Jerry cuts; 0 ≤ x ≤ 10
Step-by-step explanation:
Here the given function that describes the total profit,
y = 15 x - 10
Where x represents the number of lawns Jerry cut in a week.
But, Depending homework and chores, he has time to cut at most 10 lawns a week.
Thus, x ≤ 10
Also, the number of lawns can not be negative.
Therefore, x ≥ 0
And, the value of x will decide the domain of the function y,
Thus, the domain of the given function is,
0 ≤ x ≤ 10
⇒ Option D is correct.
Answer:
z=1.5
Step-by-step explanation:
Simplifying
6z + 3 + -4z = 9
Reorder the terms:
3 + 6z + -4z = 9
Combine like terms: 6z + -4z = 2z
3 + 2z = 9
Solving
3 + 2z = 9
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 2z = 9 + -3
Combine like terms: 3 + -3 = 0
0 + 2z = 9 + -3
2z = 9 + -3
Combine like terms: 9 + -3 = 6
2z = 6
Divide each side by '2'.
z = 3
Simplifying
z = 3