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3 years ago

Simplify (5x2 + x – 11) – (3x² + 4x – 17)

Mathematics

2 answers:

GREYUIT [131]3 years ago

8 0

Answer:

The answer is 2x² - 3x + 6 .

Step-by-step explanation:

You have to get rid of brackets and simplify it :

(5x² + x - 11) - (3x² + 4x - 17)

= 5x² + x - 11 - 3x² - 4x + 17

= 2x² - 3x + 6

tatiyna3 years ago

3 0

Answer:

2 x^2 - 3 x + 6

Step-by-step explanation:

Simplify the following:

-(3 x^2 + 4 x - 17) + 5 x^2 + x - 11

-(3 x^2 + 4 x - 17) = -3 x^2 - 4 x + 17:

-3 x^2 - 4 x + 17 + 5 x^2 + x - 11

Grouping like terms, 5 x^2 - 3 x^2 + x - 4 x - 11 + 17 = (5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17):

(5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17)

5 x^2 - 3 x^2 = 2 x^2:

2 x^2 + (x - 4 x) + (-11 + 17)

x - 4 x = -3 x:

2 x^2 + -3 x + (-11 + 17)

17 - 11 = 6:

Answer: 2 x^2 - 3 x + 6

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Find the solution of the given initial value problem. ty' + 6y = t2 − t + 1, y(1) = 1 6 , t > 0

gtnhenbr [62]

Answer:

Step-by-step explanation:

Given is a differential equation as

$ty' + 6y = t^2 - t + 1, y(1) = 1 6 , t > 0$

Divide this by t to get in linear form

$y'+6y/t = t-1+1/t$

This is of the form

y' +p(t) y = Q(t)

where p(t) = 1/t $e^(\int 1/tdt) = t$

So solution would be

$yt = \int t^2-t+1 dt\\= t^3/3-t^2/2+t+C$

siubstitute y(1) = 16

$16 = 16^3/3-128+1+C\\C = -1206$

4 0

3 years ago

Ron wants to buy a video game with a selling price of $48. It is on sale for 50% off. The sales tax in his state is 4.5%.

erica [24]

Answer:

50 1/6% (50 and one sixth) or $22.92

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Change x + 2y = 6 into slope-intercept form.

mart [117]

Answer:

The slope intercept form involves solving for y, such that the equation looks like this: y = mx + b, where m is a constant representing the slope of the line, and b is a constant representing the value of the y-intercept.

Starting with the equation x+2y=6 and subtracting x from both sides gives 2y = -x + 6.

If we then divide each term by 2, we get the final result of y = -1/2x + 3.

Here we see that the slope (m) is equal to -1/2, and the y-intercept (b) is 3.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Answer asap! will give brainliest! question is in pic

lana [24]

Answer:

UW=14

Step-by-step explanation:

First we know that UV+VW=UW, so:

4+x+10=2x+14

Solve for x first:

x+10=2x+10

10=x+10

x=0

Then, substitute the X

2(0+14)=14=UW

To check your answer, substitute and add UV and VW

4+(0)+10

<em>Hope this helped! Have a good day!</em>

4 0

3 years ago

Two students, Carlos and Sophie, factored the trinomial -4x2 − 10x + 6. Sophie factored it as -2(2x − 1)(x + 3) and Carlos facto

damaskus [11]

Sophie has factored the term completely while Carlos has not factored the term completely.

Step-by-step explanation:

We need to factor the trinomial:

$-4x^2-10x + 6$

Factoring:

$-4x^2-10x + 6\\Taking\,\,-2\,\,common:\\-2(2x^2+5x-3)\\Now\,\,factoring:\\-2(2x^2+6x-x-3)\\-2(2x(x+3)-1(x+3))\\-2(2x-1)(x+3)$

So, the factored form of $-4x^2-10x + 6$ is $-2(2x-1)(x+3)$

So, Sophie has factored the term completely. The terms are factored when we cannot further simplify it. Since Carlos factored (x+3)(-4x+2) 2 can be taken common from the term (-4x+2) so, it is not factored completely.

Keywords: Factoring the terms

Learn more about Factoring the terms at:

#learnwithBrainly

7 0

2 years ago