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4 years ago

What is the sum of 12x^2+3x+6 and -7x^2-4x-2

Mathematics

1 answer:

GrogVix [38]4 years ago

7 0

Answer: $5x^2-x+4$

Step-by-step explanation:

In addition of polynomials, you only have to add the like terms.

Remember the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-$

Then, given the polynomial $12x^2+3x+6$ and the polynomial $-7x^2-4x-2$ , you can find the sum of them by adding the like terms.

Observe the procedure below:

$(12x^2+3x+6)+(-7x^2-4x-2)=12x^2+3x+6-7x^2-4x-2=5x^2-x+4$

Therefore, the sum is:

$5x^2-x+4$

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3 years ago

Read 2 more answers

Greta is trying to determine the portion of green candies in various bags of green and yellow candies. Using the information bel

IrinaK [193]

Answer: a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

Step-by-step explanation:

Since we have given that

There are green and yellow candies in each bag.

Bag A: Two thirds of the candies are yellow. What portion of the candies is green?

Part of yellow candies in bag A = $\dfrac{2}{3}$

Part of green candies in bag A would be

$1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}$

Bag B: 29 % of the candies are yellow. What portion of the candies is green?

Percentage of candies are yellow = 29%

Portion of candies are green is given by

$1-\dfrac{29}{100}\\\\=1-0.29\\\\=0.71\\\\=\dfrac{71}{100}$

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?

Portion of yellow candies = $\dfrac{4}{9}$

Portion of green candies would be

$1-\dfrac{4}{9}\\\\=\dfrac{9-4}{9}\\\\=\dfrac{5}{9}$

Hence, a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

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3 years ago

Hi I also need help with this please and thank you

OverLord2011 [107]

Answer:

Step-by-step explanation:

y=mx+b where m=slope and b=y intercept

m=(y2-y1)/(x2-x1)

m=(-2-4)/(2+1)

m=-2 so far we have the slope

y=-2x+b, using point (2,-2) we can solve for b, the y intercept

-2=-2(2)+b

-2=-4+b

2=b so we have our line

y=-2x+2, slope is -2 and y intercept is 2

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3 years ago

What is the surface area of a sphere with a radius of 19 units?

almond37 [142]

Hope this helps. Please mark brainliest if it did

Answer: 4536.46

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3 years ago

A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?

kotykmax [81]

Answer:

$\huge\boxed{y-4=8(x+6)}$

Step-by-step explanation:

The equation of a line in the point-slope form:

$y-y_1=m(x-x_1)$

$m-slope\\\\(x_1;\ y_1)-point$

We have:

$m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4$

Substitute:

$y-4=8(x-(-6))\\\\y-4=8(x+6)$

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2 years ago