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3 years ago

15

Simplify the following polynomial: (3ax +2a - 3a²x) + (3a²x - 5ax - a) + 8a

1 answer:

Nataly_w [17]3 years ago

3 0

8ax+9a is the answer

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(x-1)^2+(2-x)^2-3(x-5)*(x-5)

Natali5045456 [20]

Answer:

$-x^2+24x-70$

Step-by-step explanation:

$(x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70$

Formula used =

$(a-b)^2 = a^2+ 2ab + b^2$

8 0

2 years ago

What is the equation of the line with points represented in the table?

EleoNora [17]

Answer:

b,c,f

Step-by-step explanation:

i did the assignment

5 0

2 years ago

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How can proportional reasoning help solve a problem?

Lisa [10]

The reasoning explains the answer

5 0

3 years ago

How to write slope-intercept form through (-1,3) and a slope of -1

oksian1 [2.3K]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = -1 and the point (-1, 3). Substitute:

$3=(-1)(-1)+b$

$3=1+b$ <em>subtract 1 from both sides</em>

$2=b\to b=2$

<h3>Answer: y = -x + 2</h3>

7 0

3 years ago

Show how to multiply 6 x 298 using friendly numbers and then use properties and mental math.

Black_prince [1.1K]

For this case we have the following multiplication:

$6 * 298$

We can rewrite this operation to facilitate the calculation.

We have then:

$6 * 298 = 6 * (200 + 90 + 8)$

From here, we apply the distributive property.

We have then:

$6 * 200 + 6 * 90 + 6 * 8$

Rewriting we have:

$1200 + 540 + 48$

Finally adding all the numbers we have:

$1200 + 540 + 48 = 1788$

Answer:

The value of 6 * 298 is 1788 and the calculations can be provided as follows:

$6 * 298 = 6 * (200 + 90 + 8)$

7 0

3 years ago

Read 2 more answers