Step-by-step explanation:
the average rate of change is the change of the functional values over a given interval relative to (= divided by) the interval length (the change of the input variable in that interval).
in short :
( f (interval upper limit) - f (interval lower limit) ) /
(interval upper limit - interval lower limit)
upper limit = 8
lower limit = 0
the functional values (y) at these points are 36 and 12.
so, we get
(36 - 12) / (8 - 0) = 24 / 8 = 3
or
3/1
Step-by-step explanation:
Please upload the question
Answer:
<u>x = 6, length = 8 cm and width = 7 cm</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Area of a rectangle = 56 cm²
Length of the rectangle = x + 2
Width of the rectangle= 2x - 5
2. Solve for x. Round to the nearest whole number.
Area of a rectangle = Length * Width
(x + 2) (2x - 5) = 56
2x² + 4x - 5x -10 = 56
2x² - x - 66 = 0
Factoring, we have:
(2x + 11) * (x - 6) = 0
x₁ = 2x + 11 = 0 ⇒ 2x = -11; x₁ = - 5.5
x₂ = x - 6 = 0 ⇒ x₂ = 6
We picked x₂ because x₁ will give us negative values for length and width.
Length = 6 + 2 = 8 cm
Width = 2 * 6 - 5 = 12 - 5 = 7 cm
Answer:
12+n
Step-by-step explanation:
8+n-4 = n+4
n+4 = n+4 (Can not be simplified).
(8+n)-4 = n+4
12+n = 12+n (Can not be simplified).
(8-4)+n = n+4
So the answer would be 12+n because it does not equal n+4.
Answer:
Step-by-step explanation:
a)
9*10⁷ = 90000*10³
(5*10³)*(9*10⁷) = (5*10³)*(90000*10³) = (5*90000)*10³ = 5*90000*10000
= 4500000000
b)
(7*10⁵) = (7000*10²)
(7*10⁵) ÷ (2*10²) = (7000*10²) ÷ (2*10²) = (7000 ÷ 2) * 10² = 3500*10²
=350000
