Answer: X=6
Step-by-step explanation:
Solve for x
by simplifying both sides of the equation, then isolating the variable.
Answer: a = -2 and c = 7
Step-by-step explanation:
(this answer uses some basic calculus)
We know that
, and since
is a maximum of
, then
. That means
, so
. Then since
, we have
, so
.
16 + 2x = 20
2x = 20 - 16 = 4
x = 4/2 = 2 inches
We want to find the greatest common factor of two given expressions.
The GCF is 15*a*b.
The two expressions are:
45*a^3*b^2 and 15*a*b
To find the greatest common factor, we can rewrite the first expression to get:
45*a^3*b^2 = (3*15)*(a^2*a)*(b*b)
Now remember that we can perform a multiplication in any order we want, so we can rearrange the factors to write this as:
(3*15)*(a^2*a)*(b*b) = (15*a*b)*(3*a^2*b)
Then we have:
45*a^3*b^2 = (15*a*b)*(3*a^2*b)
So we can see that 15*a*b is a factor of 45*a^3*b^2, then the GCF between 15*a*b and 45*a^3*b^2 is just 15*a*b.
If you want to learn more, you can read:
brainly.com/question/1986258
1. You have that Chris used 18 gallons of gas in 420 miles.
2. Therefore: If Chris drove 420 miles using 18 gallons of gas, how many gallons would in 357 miles?
3. Let's call "x" to the amount of gallons he need to drive 357 miles. So, you have:
420 miles----18 gallons
357 miles-----x
x=(357)(18)/420
x=6426/420
x=15.3 gallons