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2 years ago

Using synthetic division, what is the quotient (2x3 − 3x − 10) ÷ (x − 2)?

Mathematics

1 answer:

melamori03 [73]2 years ago

4 0

Answer:

(2x3 − 3x − 10) ÷ (x − 2) = ( x-2)

Step-by-step explanation:

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I need help with #39-42, please explain.

shusha [124]

For question 39 & 40, we need to use the below equation to complete the sentence

$l=m\sqrt{n}$

Question 39:

When ' n ' increase, the $\sqrt{n}$ will also increase and that multiplied with constant ' m ', the l will also increase.

Solution for question 39:

As $n$ increases and $m$ stays constant , $l$ increases

-------

Question 40:

Solving the equation for m, we get

$l = m\sqrt{n} \\ \\ m=\frac{l}{\sqrt{n}}$

When ' l ' increases, the numerator increase, the denominator stays constant because 'n' stays constant, for this condition, the fraction increases.

Solution for question 40:

As $l$ increase and $n$ stays constant, $m$ increases

------

For question 41 & 42, we need to use the below equation to complete the sentence

$r=s^2/t^2$

Question 41:

When $s$ is triped, the equation will be...

$r=(3s)^2/t^2=\frac{3^{2}s^{2}}{t^2} =9s^2/t^2$

Solution for question 41:

If $s$ is tripled and $t$ stays constant, $r$ is multiplied by 9

--------

Question 42:

When t is doubled, the equation will be...

$r=s^2/(2t)^2=\frac{s^2}{2^2 \cdot t^2}=\frac{s^2}{4t^2}\\ \\ r=0.25s^2/t^2 \; \; (or) \; \; \frac{1}{4} \cdot \frac{s^2}{t^2}$

Solution for 42:

If $t$ doubled and $s$ stays constant, $r$ is multiplied by 1/4 or 0.25

3 0

3 years ago

Damian is paid $1,980 monthly. What is his annual salary?

ZanzabumX [31]

Answer:

23,760.

Step-by-step explanation:

Multiply the monthly salary x 12 since there are 12 months

5 0

3 years ago

Read 2 more answers

Solve square root (2x+3)^2=36

REY [17]

X=3/2 btw its a fraction

6 0

3 years ago

Read 2 more answers

Alina and Asim share Rs 210 in the ratio 2:5. How much money did each of them get?

slavikrds [6]

Answer:

Step-by-step explanation:

Alina=2x---eq(1)

Asim=5x----eq---(2)

So,we get

2x+5x=210

7x=210

x=30

Now,Putting '30' in eq 1 and eq 2

2*30=60

5*30=150

Therefore Alina got 60 Rs while Asim got 150 Rs

5 0

3 years ago

write as an expression: a number that is equal to five less than b please show the working out if you can, thanks! >3

Minchanka [31]

"a number that is equal to five less than b"

n-a number

n = b - 5

3 0

3 years ago