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muminat
3 years ago
6

Factoring when a=1 with and without a GCF What is x2+4x-117

Mathematics
1 answer:
quester [9]3 years ago
4 0

Step 1: Make sure that the trinomial is written in the correct order; the trinomial must be written in descending order from highest power to lowest power.

Step 2 : Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

Step 3 : Multiply the leading coefficient and the constant, that is multiply the first and last numbers together.

Step 4 : List all of the factors from Step 3 and decide which combination of numbers will combine to get the number next to x.

Step 5 : After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3.

Step 6 : Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5.

Step 7 : Now that the problem is written with four terms, you can factor by grouping.


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What is the unit price if 4 pounds of fruit cost $6.48
Vaselesa [24]
6.48 / 4 =1.62 is your answer
6 0
3 years ago
the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the
AveGali [126]

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

8 0
2 years ago
Read 2 more answers
How many solutions does the equation below have?
Elina [12.6K]

Answer:

1.one solution is the answer

Step-by-step explanation:

3 0
2 years ago
Please help I need this for a text ASAP.
Sladkaya [172]

The values of x and y are 45 and 8.

<h3>What is a Linear Pair of Angles?</h3>

When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.

Given:

Measures of two linear pairs of angles which are of equal measures are 2x and 11y + 2.

As the sum of linear pair of angles is 180°, and if they are of equal measures, each angle must be equal to 90°.

To determine the values of x and y we equate the given angles to 90°.

2x = 90°

⇒ x = 45

And 11y+2 = 90°

⇒ 11y = 90-2 = 88

⇒ y = 8

To know more about linear pairs visit:

brainly.com/question/17525542

#SPJ13

8 0
1 year ago
-62 + 18y = 264<br> -12x - 36y = 130<br><br><br> What solution is this
sergeinik [125]

Answer: x = -\frac{391}{6} =\\-65 \frac{1}{6}\\ -65.166666667\\y=\frac{163}{9}=18\frac{1}{9}  \\18.111111111

Step-by-step explanation: Multiply -36 and 163/9 to get -652. Add 652 to both sides then add 130 and 652 to get 782. Divide both sides by -12 then reduce the fraction 782/-12 to lowest terms by extracting and canceling out 2. The system is now solved.

3 0
2 years ago
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