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Rufina [12.5K]
3 years ago
11

Which expression is equivalent to

Mathematics
2 answers:
antoniya [11.8K]3 years ago
3 0
I'm pretty sure its B. (9x2+2x-7)(x)+(9x2+2x-7)(-4)
Because its just splitting up the (x-4) and if you add the answers together then you get the same answer as the original<span />
jolli1 [7]3 years ago
3 0

Answer:

B.(9x^{2}+2x-7)(x)+(9x^{2}+2x-7)(-4)

Step-by-step explanation:

Given two expressions between parentheses that are multiplying between them, we can find the equivalent expression if we distribute the terms between them. For example :

The expression (a+b).(c+d) is equivalent to

(a+b).(c+d)=ac+ad+bc+bd because we multiply the first element of the first expression (a+b) by the first element of the second expression (c+d) and then we sum the product between the first element of the expression (a+b) and the second element of the second expression (c+d).Then, we sum the product of the second element of the expression (a+b) and the first element of (c+d) and finally we sum the product of the second element of (a+b) and the second element of (c+d) in order to find the equivalent expression of (a+b).(c+d).

In the exercise :

(9x^{2}+2x-7).(x-4)=(9x^{2})x+(9x^{2})(-4)+(2x)x+(2x)(-4)+(-7)x+(-7)(-4)

Rearranging the expression we obtain :

(9x^{2})x+(2x)x+(-7)x+(9x^{2})(-4)+(2x)(-4)+(-7)(-4)

Factoring the expression :

(9x^{2}+2x-7)(x)+(9x^{2}+2x-7)(-4)

The correct answer is B.

You might be interested in
Lines b and c are parallel what is the measure of angle 6?
elena-s [515]

Answer:

54 degrees

Step-by-step explanation:

If these two lines are parallel, than angles 1 and 7 are supplementary.

13x+9+5x+9=180

18x+18=180

x+1=10

x=9

Angle 6 and 7 are vertical angles, so they are equal. Therefore, angle 6 is:

5x+9=5(9)+9=54

Hope this helps!!

3 0
3 years ago
A woman making $3000 per month has her salary reduced by 20% because of sluggish sales. One year later, after a dramatic improve
vichka [17]

Answer:

4%

Step-by-step explanation:

Since she first goes down 20% you would do 3000 times 20 which is 60000 and divided by 100 which is 600 and you would subtract 600 from 3000 which is 2400 and then you would multiply that by 30 which is 72000 and then you would divide by 100 which is 720 and add that to 2400 which is 3120 and to find the percent change from 3000 to 3120 you would subtract 3120 by 3000 which is 120 and you would divide that by 3000 which is 0.04 and multiply that by 100 which is 4 so the percent change would be 4%

8 0
3 years ago
Steve made a sign for his room that is shaped like a triangle. It is 4.5 feet long and 3 feet high. He wants to make another sig
Fed [463]

Answer: PART A : \frac{4.4}{x} = \frac{3}{4}

PART B : 5.9 FEET

Step-by-step explanation:

Length of the first sign = 4.4 feet

height of the first sign = 3 feet

Length of the second sign = x feet

height of the second sign = 4 feet

If two shapes are similar , then the ratio of their sides are equal,

That is ;

\frac{h_{1}}{h_{2} } = \frac{L_{1}}{L_{2} }

PART A

\frac{4.4}{x} = \frac{3}{4}

PART B

\frac{4.4}{x} = \frac{3}{4}

cross multiplying , we have

3x = 4.4 x 4

3x = 17.6

Divide through by 3

x = 17.6/3

x = 5.86666666666667

x≈ 5.9 feet

Therefore , the length of the new sign is 5.9 feet

6 0
3 years ago
Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers
lukranit [14]

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

4 0
2 years ago
9- (-5)
kiruha [24]
I put it in my ti calculator and it’s 14
7 0
3 years ago
Read 2 more answers
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