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natali 33 [55]
3 years ago
9

Simplify the following expression. Write the resulting polynomial in descending order.

Mathematics
1 answer:
Inessa [10]3 years ago
7 0

Answer: 4x² + x - 2

Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²

Now let's work on the second part:

Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals

12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:

4x² + x - 2.

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The line passing through (-2,5) and (2,p) has a gradient of -1/2. <br><br> Fnd the value of p
makkiz [27]

Given:

The line passing through (-2,5) and (2,p) has a gradient of -\dfrac{1}{2}.

To find:

The value of p.

Solution:

If a line passes through two points, then the slope of the line is:

m=\dfrac{y_2-y_1}{x_2-x_1}

The line passing through (-2,5) and (2,p). So, the slope of the line is:

m=\dfrac{p-5}{2-(-2)}

m=\dfrac{p-5}{2+2}

m=\dfrac{p-5}{4}

It is given that the gradient or slope of the line is -\dfrac{1}{2}.

\dfrac{p-5}{4}=-\dfrac{1}{2}

On cross multiplication, we get

2(p-5)=-4(1)

2p-10=-4

2p=-4+10

2p=6

Divide both sides by 2.

p=3

Therefore, the value of p is 3.

4 0
2 years ago
Help me please <br> math question
Diano4ka-milaya [45]

Answer: the answer would be D

Step-by-step explanation: in the exponent fraction the root would be 3 because the base of the fraction is thred. Always look at that.  

7 0
2 years ago
write the equation of the line, with the given properties, in slope-intercept form. slope = -5, through (-4,4)
Daniel [21]

Answer: y=-5x-16

Step-by-step explanation:

Since we are given the slope and the point, we can plug in the point to solve for y-intercept.

4=-5(-4)+b          [multiply]

4=20+b               [subtract both sides by 20]

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Now, we know the equation is y=-5x-16.

3 0
3 years ago
The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?
polet [3.4K]

Answer:

I think it would be 9 meters.

Step-by-step explanation:

5x2=10

28-10=18

18(divided by)2=9 meters

3 0
2 years ago
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saul85 [17]

Answer:

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Step-by-step explanation:

this should be the answer

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3 years ago
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