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2 years ago

Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _ The remainder is: __

Mathematics

1 answer:

RoseWind [281]2 years ago

5 0

Answer:

The quotient is x² + 6x +3

Remainder = -1

Step-by-step explanation:

Explanation:-

Given Polynomial equation

f(x) = x³+5x²−9x−7

By using synthetic division

x = 2 1 5 -9 -7

0 1 12 6

1 6 3  -1 

The quotient is x² + 6x +3

Remainder = -1

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Lucas and Tayvan can paint a house in 1 hour working together. If Tayvan works alone, he can paint the house in 1.5 hours. How l

nikitadnepr [17]

Answer:

1 hour

Step-by-step explanation:

no explanation its common sense lol

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2 years ago

Write an equivalent expression for 88 +16x +8 . If x=4,is the solution to both expressions the same.

Firlakuza [10]

You can find an equivalent expression for this by combining like terms.
The terms are 88, 16x, and 8.
The like terms are 88 and 8.
To combine them, add them together.
88 + 8 = 96
The equivalent expression would be 16x + 96.
This means 16x + 96 is the same as 88 + 16x + 8.

Since they are equivalent, that means they are equal, or the same.
So no matter what x is, they will both be equal to the same thing, so their solutions will be the same.

Answers:
Equivalent Expression: 16x + 96
Yes, both expressions will have the same solutions if x = 4.

Hope this helps!

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2 years ago

Please help! Select all that apply. Write the letter of your answer. V = Iwh

Delicious77 [7]

Answer:

Step-by-step explanation:

Formula for volume of a cuboid $= lwh$ . where l is the length, w is the width and h is the height.

Using this equation we can answer the question by using the values given.

$V = (2y+4)(2y-4)(3y) = (4y^2-16)(3y) = 12y^3-48y$

From the list of answers, we can compare each one to the answer we got and see if they match up.

The answers that match up are:

C. $12y^3-48y$ - it is exactly like the answer we got.

D. $3y(4y^2-16) = 12y^3-48y$ - if we simplify the brackets, it is exactly like the answer we got.

E. $(2y+4)(6y^2-12y)=12y^3-24y^2+24y^2-48y=12y^3-48y$ - once again, if we simplify the brackets it is like the answer we got.

None of the other answers are correct as they do not match up with the answer we got.

8 0

3 years ago

Help please I really need it

gtnhenbr [62]

So we want to solve 2x − 40 = 3y for x2x − 40 + 40 = 3y + 40(Add 40 to both sides!)2x = 3y + 40
Now divide both sides by 2!
 $\frac{2x}{2} = \frac{3y + 40}{2} \ \textgreater \ x = \frac{3}{2}y + 20$
Now substitute $\frac{3}{2}y + 20 for x in 2y = -4x + 48

$
$2y = -4( \frac{3}{2}y + 20) + 48$
Which then gives us..
2y = −6y − 32(Make sure to simplify both sides of the equation)2y + 6y = −6y − 32 + 6y(Now add 6y to both sides)8y = −32
Now divide both sides by 8
 $\frac{8y}{8} = \frac{-32}{8} \ \textgreater \ y = -4$
Now we have to substitute -4 for y in $x = \frac{3}{2}y + 20 \ \textgreater \ \frac{3}{2}(-4) + 20 \ \textgreater \ x = 14$
So we end up getting...
x = 14 and y = −4.
Hope this helps!

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3 years ago

At a local garden shop, the price of plants includes

Elis [28]

Answer:

8 M + 5 L = 40 ; 5 M + 2 L = 28

Step-by-step explanation:

3 0

2 years ago

Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _____ The remainder is: ______

Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _ The remainder is: __