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Mrac [35]
3 years ago
6

. The total area of a rectangular mural has been extended by x feet. The expression to represent the area is 5.5(7.5 + x). Rewri

te the expression using the Distributive Property.
Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0

Answer and Step-by-step explanation: <u>Distributive</u> <u>Property</u> describes how to solve expressions like a(b +c). According to the property, multiplying the sum of two or more numbers by a number will result in the same as multiplying each number and then add the products. For example:

                 11(2 + 4)

11(6) = 66                 22 + 44 = 66

So, for the expression that represents the area:

5.5(7.5 + x) = 41.25 + 5.5x

As the expression has non-numerical terms, the distributive property will be multiply each term and then add the products.

The expressio for area of a rectangular mural is 41.25 + 5.5x.

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sergeinik [125]
Minutes is the answer
4 0
3 years ago
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Factor completely 9x3 36x2 − x − 4. (3x 4)(3x − 4)(x 1) (3x 1)(3x − 1)(x 4) (9x2 − 1)(x 4) (3x 1)(3x − 1)(x − 4).
Arlecino [84]

The factor of the provided polynomial after the factorization process are similar to option B, which is

(x+4)(3x+1)(3x-1)

<h3>How to find the factor of polynomial?</h3>

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

9x^3 +36x^2 - x - 4

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 9x², which can divide each term of the first two terms of equation (9x³, 36x²). Thus,

9x^2(x +4) - x - 4

Take out the highest common factor -1 from the second two terms as,

9x^2(x +4) -1( x + 4)

Now take out the common group (x+4) as,

(x +4) ( 9x^2 -1)

The second group can be rewritten using the difference of square formula as,

(x +4) ( (3x)^2 -1^2)\\(x+4)(3x+1)(3x-1)

Thus, the factor of the provided polynomial after the factorization process are similar to option B, which is

(x+4)(3x+1)(3x-1)

Learn more about factor of polynomial here;

brainly.com/question/24380382

4 0
3 years ago
Which graph shows the solution set of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7Bx-3%7D%20%5C%20%20%5Ctextless%20%5C%2
forsale [732]

Answer:

Step-by-step explanation:

f(x) = (x - 1)/(x - 3) < 0

The critical points are x = 1 and x = 3

When x < 1, f(x) > 0

When 1 < x < 3,  f(x) < 0  

When x > 3,   f(x) > 0

Note  when x = 3 f(x) has no value and when x = 1 f(x) = 0.

I can't see all the graphs very well  but there should be a red line between 1 and 3 with a clear circle on x = 1 and x = 3.

Looks like its the last choice.

7 0
3 years ago
A mother took her 3 children to get haircuts. Each hairdresser charges a different amount. Brian's haircut cost $15, Lucy's cost
julia-pushkina [17]

Answer:

She paid $77 in total for all 3 haircuts

Step-by-step explanation:

Add 15+23+32=70 then divide 70 by 100 that equals .7 then multiply that by 10 it equals 7 and add the original amount of 70 to 7 and it equals 77.

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3 years ago
Find g (2w) when g(x) = x^2 - 2x + 1
Ulleksa [173]
G(2w)=(2w)²-2(2w)+1
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3 years ago
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