The variables are proportional. The constant of proportionality is 2/7.
Note slope intercept equation is
y = mx + b
where
m = slope
b = y-intercept
4x + 6 = -10<span>Simplifying
4x + 6 = -10
Reorder the terms:
6 + 4x = -10
Solving
6 + 4x = -10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 4x = -10 + -6
Combine like terms: 6 + -6 = 0
0 + 4x = -10 + -6
4x = -10 + -6
Combine like terms: -10 + -6 = -16
4x = -16
Divide each side by '4'.
x = -4
Simplifying
x = -4</span>
Answer:
-24
Step-by-step explanation:
This is a simple multiplication problem. 8 times 3 is 24, and since one of the numbers is negative, the product (answer in multiplication) will be negative.
In multiplication and division of integers (positive and negative numbers), if the numbers have the same signs, the answer is ALWAYS positive, and if the numbers have different signs, the answer is ALWAYS negative.
D represents dolls
1/3×18+1/6×18+d=18
18/3+18/6+d=18
6+3+d=18
9+d=18
d=18-9
d=9
<span> s = -16t^2 + 64t + 3
v = -32t + 64
the maximum height occurs when v = 0:
-32t + 64 = 0 when t = 2 sec
the maximum height is
s = -16(2^2) + 64(2) + 3 = 67 ft
the range is [ 3, 67] </span>
