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Yakvenalex [24]
3 years ago
15

The length of a rectangle is 2 more than 5 times its width. The perimeter of the rectangle is 88 inches. What is the length of t

he rectangle?
Question 6 options:

 
32 in.

 
37 in.

 
42 in.

 
47 in.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0
I hope this helps you

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Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the
bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in x^3 + 3x^2 + 5, the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, x^3 and 3x^3  are like terms since variable is same, and it is raised to same power 3.

For example 4x^2 and x^3 are not like terms as the variables are same but powers aren't same.

The given polynomials are:

c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10

Their sum is

c(x) + p(x)  = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5  +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

4 0
2 years ago
Factor completely 2x^2+4x-70
Fittoniya [83]

Answer: 2(x-5)(x+7) <---- this is your answer

Step-by-step explanation:

(2x^2+4x-70)

2((x-5)(x+7))

(-1,-72)

(-1, -\frac{575}{8} )

x=-1

y=-\frac{577}{8}

Factor the polynomial completely.

Group and factor out the greatest common factor (GCF), then combine.

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

So the answer is 2(x-5)(x+7)

Hope this helps out :)

4 0
2 years ago
If 30g of sugar is needed to make 4 cakes how much grams of sugar is needed to make 7 cakes
arsen [322]
There's two ways to do this.

The first way:
Work out the amount of sugar needed to make one cake, and then multiply that by 7.

30 grams ÷ 4 cakes = 7.5 grams for 1 cake.
7.5 grams × 7 cakes = 52.5 grams for 7 cakes.

The second way:
Work out the ratio of sugar:cake by doing 7 ÷ 4, and then multiplying that value by 30.

7 cakes ÷ 4 cakes = 1.75
1.75 × 30 grams = 52.5 grams for 7 cakes. 

Either way, the answer is 52.5 grams.
6 0
3 years ago
Chris can be paid in one of two ways. Plan A is a salary of ​$490 per​ month, plus a commission of ​9% of sales. Plan B is a sal
skad [1K]

Answer:

$390+0.07s=$544+0.05s Subtract $390 from each side.

0.07s=$154+0.05s Subtract 0.05s from each side.

0.02s=$154 Divide each side by 0.02.

s=$7700 Both plans pay the same when sales=$7700

ANSWER With sales greater than $7700, Chris is better off with Plan A.

5 0
3 years ago
Lenore is going to sell T-shirts at a field hockeygame to raise money for the team. She findsa website that makes custom T-shirt
sertanlavr [38]
Ndndjdjsjsjsjdjsjsjdnd
5 0
3 years ago
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