3x² + 8x + 4
First, i divide the equation into two parenthesis, so that the first parts of both multiply to make the first term, 3x². 3x * x = 3x²
(3x + )(x + )
Then I find two numbers that multiply to make 4, which are 1 and 4, or 2 and 2.
Our options are:
(3x + 1)(x + 4)
(3x + 4)(x + 1)
(3x + 2)(3x +2)
To figure out which one to use, I'm just going to FOIL them all.
(3x + 1)(x + 4) = 3x² + 1x + 12x + 4 = 3x² + 13x + 4
(3x + 4)(x + 1) = 3x² + 4x + 3x + 4 = 3x² + 7x + 4
(3x + 2)(x +2) = 3x² + 2x + 6x + 4 = 3x² + 8x + 4
The factored form is:
(3x + 2)(x + 2)
To solve for the roots ( where the graph crosses the x axis, where y = 0) we set the equation equal to 0:
(3x + 2)(x + 2) = 0
The zero product property says that anything times 0 is 0, so we set each individual part equal to 0 and solve for the two roots.
3x + 2 = 0
3x = -2
x = -2/3
x + 2 = 0
x = -2
Five times a number less than one hundred.
Mavis drives = 634 miles.
Mavis visits her grandmother 4 times.
That means, she drives 634 miles each time when she visits her mother.
One time round trip Mavis's house to her gramdmother in philadelphia = 634 miles.
If she visited 4 times, we can multiply one round trip distance by 4 or we can just add that distance four times.
Let us try it by multiplying 4 by 634 .
If we multiply 4 by 634, we get 2536.
Therefore, 2536 miles Mavis drives if she visits her grandmother 4 times.
Answer:
0.5 < x < 16.5
Step-by-step explanation:
8.5 - 8.0 < x < 8.5 + 8.0 =
0.5 < x < 16.5
<em>Hope that helps! :)</em>
<em></em>
<em>-Aphrodite</em>
130.1 because 1 rounds down to 0 it isn't over 5