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ASHA 777 [7]
3 years ago
8

Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right. 1. x2 − 7x

− 12 2. x2 − x − 12 3. x2 − 4x − 12 4. x2 + 4x − 12 a. (x - 6)(x + 2) b. (x - 2)(x + 6) c. (x - 4)(x + 3) d. Prime
Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

1. ---> d. Prime

2.---> c. (x-4)(x+3)

3.---> a. (x-6)(x+2)

4. ---> b. (x-2)(x+6)

Step-by-step explanation:

Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial ax^2+bx+c multiply a*c then find two numbers which multiply to this number and add to b. When you find those numbers, write them as (x-/+ number)(x-/+number).

1. x^2-7x-12

a=1, c=-12

ac=-12 and add to b=-7

Not possible. PRIME. This is not possible because the factors of -12 would have two different signs and would not be able to add to -7.

2. x^2-x-12

a=1, c=-12

ac=-12 and add to b=-1

Factors: C  (x-4)(x+3)

3. x^2-4x-12

a=1, c=-12

ac=-12 and add to b=-4

Factors: A  (x-6)(x+2)

4. x^2+4x-12

a=1, c=-12

ac=-12 and add to b=4

Factors: B  (x-2)(x+6)

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Solve the equations in two different ways:6p=0.6(5p+15)
Damm [24]

Answer:

Step-by-step explanation:

1st way:

Solve directly

6p=0.6(5p+15)

Open bracket

6p = 3p + 9

Collecting like terms

6p - 3p = 9

3p = 9

Dividing by 3

p = 9/3

p = 3

2nd way:

6p=0.6(5p+15)

Convert the decimal to fraction

6p= 6/10(5p+15)

6p= 3/5(5p+15)

6p= 3/5(5p) +3/5(15)

6p = 3p + 9

Collecting like terms

6p - 3p = 9

3p = 9

Dividing by 3

p = 9/3

p = 3

6 0
4 years ago
Find the missing numerator in each of the following fractiions? A. 5/6= /12. B. 2/4= /36. C. 2/5=/20. D. 4/25=/100
lesantik [10]

<u>Answer:</u>

A. 10

B. 18

C. 8

D. 16

<u>Step-by-step explanation:</u>

We are given a number of incomplete fractions and we are to find the missing numerator in each one of these.

To find the missing numerator or denominator, we multiply the numerator and the denominator by the same number to get an equivalent fraction.

A. \frac{5}{6} =\frac{10}{12}

Here the denominator is multiplied by 2 so the denominator will also be multiplied by 2 to get 10.

B. \frac{2}{4} =\frac{18}{36}

Numerator is multiplied by 9.

C. \frac{2}{5} =\frac{8}{20}

Numerator is multiplied by 4.

D. \frac{4}{25} =\frac{16}{100}

Numerator is multiplied by 4.

5 0
4 years ago
A ceiling 6 feet by 7 feet can be painted for $52. find the cost of painting a ceiling 18 feet by 21 feet, all things being equa
kykrilka [37]
6 feet * 7 feet = 42 feet²

18 feet * 21 feet = 378 feet²

42 feet²  was painted for $52

1 feet²  will be painted for $52/42

378 feet² will then be painted for:  ($52/42) * 378

                                                       = $468

Hence 18 feet by 21 feet will be painted for $468

Hope this helps.
5 0
3 years ago
4. Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place.18.729
ziro4ka [17]
The sum for those numbers is 19.179 NOT 18.729. HOWEVER the Estimation of the sum and the answer for this question is 19.2 because the decimal place you are finding has a number to its right that is greater to that decimal place so you add the one to the decimal place you are finding.
6 0
4 years ago
Read 2 more answers
F(x)=3x+5/c what is f(a+2) ?
coldgirl [10]
<span>F(x)=3x+5/c

</span>F(a+2)=3(a+2)+5/c
or
F(a+2)=3a + 6 + 5/c
3 0
3 years ago
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