Answer:

Step-by-step explanation:
Given that Lil's distance in 2/5 hrs is 2 3/4hrs
-Let x be the distance ran in 1 hr.
#We equate and cross multiply to solve for x as follows:

Hence, Lil can run 6 7/8 miles in 1 hr.
Answer:
The slope of the line is
.
Step-by-step explanation:
We are given two coordinate points:
We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.

However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:

Therefore, we can also label our coordinates as such:
Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.

Therefore, our slope is
.
The factorial ! just means we multiply by every natural number less that the value so
6! =6×5×4×3×2×1= 720
for permutations we use the formula n!/(n-r)!
so we have 8!/(8-5)!=8!/3!=8×7×6×5×4
for combinations s we have n!/(n-r)!r!
so we have 12!/(12-4)!4!=12!/8!4!=12×11×10×9/4×3×2=11×10×9/2=99×5
Answer:
A
Step-by-step explanation:
Given
-4x²(5
- 3x² + x - 2)
Multiply each term in the parenthesis by - 4x²
= - 20
+ 12
- 4x³ + 8x²
Answer: y = 5x + 13
<u>Step-by-step explanation:</u>
Parallel means it has the same slope.
Given line y = 5x + 5 --> the slope is 5, so parallel slope is 5
Use the Point-Slope formula: y - y₁ = m(x - x₁) such that
y + 2 = 5(x + 3) <em>input m and (x₁, y₁) into the Point-Slope formula</em>
y + 2 = 5x + 15 <em>distributed</em>
y = 5x + 13 <em>subtracted 2 from both sides</em>