Step-by-step explanation:
the average rate of change is
(f(x2) - f(x1)) / (x2 - x1)
so, for x = 1 and 2
(4×3² - 4×3¹) / (2 - 1) = 36 - 12 = 24
for x = 3 and 4
(4×3⁴ - 4×3³) / (4 - 3) = 324 - 108 = 216
so the second rate is 216/24 = 9 times greater than the first rate.
Answer:
the answer is 1.5 and the equation is 18.00÷12
Step-by-step explanation:
You need to divide to find out how much 1 box is
Answer:
a)3⁴
b)7⁵
c)10²
d)5⁷
Step-by-step explanation:
a)3²×3² = 3^2+2=3⁴
b)7×7⁴=7¹×7⁴=7^1+4=7⁵
c)10⁹÷10⁷=10^9-7=10²
d)5⁸÷5=5⁸-5¹=5^8-1=5⁷
This may be one of those questions that could take
more paper to ask than to answer.
Line-1 goes through (-4, 8) and (4,6) .
Its slope is (difference in 'y') / (difference in 'x')
Dif in 'y' = (6 - 8) = 2
Dif in 'x' = (4 - -4) = 8
Slope of Line-1 = 2/8 or 1/4
Line-2 goes through (-1, 1) and (3, 5)
Its slope is (difference in 'y') / (difference in 'x')
Dif in 'y' = (5 - 1) = 4
Dif in 'x' = (3 - -1) = 4
Slope of Line-2 = 4/4 = 1
Slope of Line-1 = 1/4
Slope of Line-2 = 4
The slopes of the lines are different.
They can't be parallel, and they can't be the same line.
They must intersect in one point, and only one point.
That means the pair of equations has exactly one (1) solution.
Answer:
Step-by-step explanation:
If the variation is proportional dividing the y-value by the x-value will give the same result for all table entries. That quotient is the constant of variation (k).
Here 6.4/4 = 11.2/7 = 16/10 = 20.8/13 = 1.6
The value of y varies directly as x, and the constant of variation is 1.6. The equation is ...
y = 1.6x
