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grin007 [14]
3 years ago
12

Factoring a trinomial

Mathematics
2 answers:
erastovalidia [21]3 years ago
8 0

Answer:

8(y + 3)(y + 4)

Step-by-step explanation:

Factor out 8 from each term

= 8(y² + 7y + 12) ← factor the quadratic

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the y- term (+ 7)

The factors are + 3 and + 4, since

4 × 3 = 12 and 4 + 3 = 7, hence

y² + 7y + 12 = (y + 3)(y + 4), and

8y² + 56y + 96 = 8(y + 3)(y + 4) ← in factored form

Setler79 [48]3 years ago
5 0

Answer:

Answer is 8(y + 4)(y + 3) when you factor it.

Step-by-step explanation:

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Marianna [84]
X^2 -  13 x = -36 
add 36 to both sides

x^2 - 13x +36 = 0
figure out the factor
(x-4)(x-9) = 0
so (x-4) or (x-9) equals 0
so solution is
x-4=0 add 4 to both sides and get x = 4
x-9=0 add 9 to both sides and get x=9
x={ 4, 9}
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3 years ago
What is the equation of the given circle?
azamat

Answer:

the last choice

Step-by-step explanation:

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For each trip, a taxi company charges a fixed fee of $2.00 plus $0.75 for each 1/2 mile or fraction of 1/2 miles. If, for every
nydimaria [60]

Answer:

E: 2.00 + 0.75 [ 2r]

Step-by-step explanation:

r represents the number of miles. For each 1/2 mile the taxi will charge and extra free of $0.75. Then, for each mile, the taxi will charge $0.75*2. For example:

For a trip of 1 mile the taxi will charge:

$2.00+$0.75*2

For a trip of 2 miles, the taxi will charge:

$2.00+0.75*4

For a trip of 10 miles, the taxi will charge:

$2.00+$0.75*20

Notice that the variable fee (the one that depends on the number of miles) is $0.75 times the double of miles. In each case the number of miles is multiplied by two. Then the correct answer is E: 2.00 + 0.75 [ 2r]

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3 years ago
Find the product (4x-3) (3x+8)
m_a_m_a [10]

Hi there!

Assuming "Find the product" means multiplying (4x-3) by (3x+8) and factor to it's simplest form the answer would be:

12x²+23x-24

The way you solve this is by using the distributive property of multiplication as shown below:

Start by multiplying -3 from (4x-3) by everything in (3x+8)

3x*(-3) = -9x

8*(-3) = -24

Once you've done that you then multiply everything 4x

4x*8 = 32x

4x*3x = 12x²

(Note: when multiplying two of the same variables like x it means you are multiplying x by itself which is the same as x²)

When you put all of this together it looks like this

12x²+32x-9x-24

from there we combine like terms

32x-9x = 23x

to get

12x²+23x-24

I hope this helps!

God bless,

ASIAX

4 0
3 years ago
A train goes 10 miles per hour. How far does it travel in 4 hours
iren [92.7K]

Answer:

40 mph

Step-by-step explanation:

10 miles*4 hours = 40 miles

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