Answer:
Step-by-step explanation:
(f.g)(x) = (x² - 2x + 3) (x³ - 4)
= x²* (x³ - 4) - 2x* (x³ - 4) + 3 * (x³ - 4)
= x²*x³ - x²*4 - 2x*x³ - 2x*(-4) + 3*x³ - 3 * 4
= x⁵ - 4x² - 2x⁴ + 8x + 3x³ - 12
= x⁵ - 2x⁴ + 3x³ - 4x² + 8x - 12
First make sure that one of the variable has the same coefficient in each equations.
For example lets use:
y=x+3
2y=3x-1
Since neither the y's or x's are the same, we must multiply the equations to make them the same. I am going to multiply the first equation by 2 so I can eliminate the y's.
So we get:
2y=2x+3
2y=3x-1
Then we subtract the second equation from the first to eliminate the y's. So we end up with 0=-x+4 and now we solve for x
0=-x+4
x=4
Now we plug in our x into either original to get the y-value. I am using the first
y=x+3
y=4+3
So the x=4 and y=7
Hope this helps!
We have been given that a particular type of cell increases by 75% in number every hour. We are asked to find the number of cells present at the end of 12 hours if there are initially 4 of these cells.
We will use exponential growth formula to solve our given problem.
, where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.

Upon substituting initial value
and
in above formula, we will get:





Therefore, there will be approximately 3300 cells at the end of 12 hours.
Answer:
13
Step-by-step explanation:
Draw a picture!
You have a right triangle with legs of 5 and 12.
By the Pythagorean Theorem, the hypotenuse is √(5²+12²) = 13
Answer:
hope this helps you!!!
Step-by-step explanation:
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