Answer:
Step-by-step explanation:
Answer:
d = 10/72
Step-by-step explanation:
c and d vary inversely
c = k/d
Where,
k = constant of proportionality
d = 2/9 when c = 5
c = k/d
5 = k ÷ 2/9
5 = k × 9/2
5 = 9k/2
Cross product
5*2 = 9k
10 = 9k
k = 10/9
c = k/d
c = 10/9 ÷ d
c = 10/9 × 1/d
c = 10/9d
find d when c = 8
c = 10/9d
8 = 10/9d
Cross product
8*9d = 10
72d = 10
d = 10/72
Julie travelled with 30.5 miler per gallon.
<u>SOLUTION:
</u>
Given, On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas.
On the return trip she traveled 235 miles on 8 gallons of gas.
We have to find how many miles per gallon did Julie get on the way there?
We know that,

Substituting the values we get,

Hence, Julie travelled with 30.5 miler per gallon on the way there on mountains.
The point slope form is y - 8 = 4(x + 6) and the slope intercept form would be y = 4x + 32.
In order to find this, we'll start with the base form of point-slope form.
y - y1 = m(x - x1) ----> Plug in the numbers
y - 8 = 4(x - -6) ----> Simplify
y - 8 = 4(x + 6)
Now to find slope intercept form, solve for y.
y - 8 = 4(x + 6) ----> distribute the 4
y - 8 = 4x + 24 -----> add 8 to both sides
y = 4x + 32
Answer:
Factoring the expression
completely we get 
Step-by-step explanation:
We need to factor the expression
completely
We need to find common terms in the expression.
Looking at the expression, we get
is common in both terms, so we can write:

So, taking out the common expression we get: 
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

So, we get:

Therefor factoring the expression
completely we get 