To factor it completely you first look at the first term, if the a term is 1 then your good if it is not you need to divide it by whatever number to make the a term 1, in the first question the a term is just x^2 so it's good. Then,you focus on the b and c term, you have to find multiples of term C that adds up to term b. Going back to problem 1, c is 16 and b is 10. So the two factors would be 8 and 2,because 8×2=16 and 8+2=10. the final step is to put into the proper format,
(x+2) (x+3), which would be considered completely factored.
Answer:
7
Step-by-step explanation:
The two parallel line indicates that the sides are proportional.
12:15, the ratio is 0.8
0.8*8.75=7
Answer:
DE = 14
Step-by-step explanation:
Since, DE is a Mid-segment of triangle ABC.
Therefore,
DE = 1/2 * AC
2 DE = AC
2(5x - 1) = 3x + 19
10x - 2 = 3x + 19
10x - 3x = 19 +2
7x = 21
x = 21/7
x = 3
DE = 5x - 1
DE = 5*3 - 1
DE = 15 - 1
DE = 14
Answer:
Yes
Step-by-step explanation:
first you make 2 and 3/5 into an improper fraction, which is 13/5. Then you multiply this by 3, for the 3 batches, giving you 39/5. 15 times 5 is 75, so he has 75/5 cups of flour, and he only needs 39/5. Yes he has enough flour.
Answer:
A) 2 + i
Step-by-step explanation:
F(x) = x^3 - 3x^2 + x + 5
0 = x^3 - 3x^2 + x + 5
0 = (x+1)(x^2 - 4x + 5)
Great, now we can separate these two parenthesis expressions because of the Zero Product Property. Start with the simple one:
0 = x + 1
<u>x = -1</u>
We have our first real root! But it doesn't look like that's one of the answer choices, so move on to the other expression:
0 = (x^2 - 4x +5)
This expression can't be factored, so we will use the quadratic formula (which is x = 
).
First solve for the positive part:
= (4 + sqrt(16-20)) / 2
= 4 + sqrt(-4) / 2
= 4 + 2i / 2
<u>= 2 + i</u>
Then for the negative part:
= (4 - sqrt(16-20)) / 2
= 4 - sqrt(-4) / 2
= 4 - 2i / 2
<u>= 2 - i</u>
<u></u>
<u>2 + i</u> is answer choice A! Our other roots, <u>2 - i</u> and <u>-1</u>, aren't answer choices.
