Answer:
if f(x) = 3x+4, the rate of change is 4.
if f(x) = 2x+7, the rate of change is 2.
Step-by-step explanation:
We know that the average rate of change over the interval x=0 to x=8 is:
(f(x2) - f(x1))/x2-x1
Where:
x2 = 8
x1 = 0
if f(x) = 3x+4
so f(8)=3(8)+4 = 28
f(0)=3(0)+4 = 4
Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3
On the other hand, if f(x) = 2x+7
f(8) = 2(8)+7 = 23
f(0) = 2(0)+7 = 7
Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2
Answer:
(-9.5, -4)
Step-by-step explanation:
Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:
.
Given two endpoints of the original segment
→ (-10, -8) [(x₁, y₁)] and (-8, 8) [(x₂, y₂)]
Along with the ratio of the two partitioned segments
→ 1 to 3 = 1:3 [a:b]
Formed by the point that partitions the original segment to create the two partitioned ones
→ (x?, y?)
We can apply this formula and understand how it was derived to figure out where the point of partition is.
Here is the substitution:
x₁ = -10
y₁ = -8
x₂ = -8
y₂ = 8
a = 1
b = 3
. →
→
→
→
→
→
→
*
*
Now the reason why this
20% off $250, 250 x 0.2= 50
The suit is $50 off, so $250-$50= $200
To simplify begin by distributing the multiplication outside the parenthesis:
Answer:
$190.35
Step-by-step explanation:
180 ⋅ 0.0575 = 10.35
Add 180 to 10.35
$190.35
(I could be wrong. Sorry if I am)
Hope I helped :)
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