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DedPeter [7]
3 years ago
7

Is x-10 a factor of f(x)=5x^3+60x^2+109x+90

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

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Mrs. Stern washed
bekas [8.4K]

Answer:

Mrs. Stern washed more

\frac{7}{20} laundry still needs to be washed.

Step-by-step explanation:

Total amount of laundry: \frac{20}{20}

\frac{20}{20} -\frac{2}{5}-\frac{1}{4} =

\frac{20}{20} - \frac{8}{20} -\frac{5}{20} =

\frac{7}{20} of the laundry still needs to be done.

Mrs. Stern washed \frac{8}{20} of the laundry.

Her son washed \frac{5}{20} of the laundry.

Mrs. Stern washed more laundry than her son.

8 0
3 years ago
The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown
Anna71 [15]

Answer:

  16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

The surrounding walkway adds 8 feet to each dimension, so the total area of the garden with the walkway is ...

  (w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

  (w^2 +25w +136) - (w(w+9)) = 400

  16w + 136 = 400 . . .simplify

  16w = 264 . . . . . . . . subtract 136

  264/16 = w = 16.5 . . . . . width of the garden in feet

  w+9 = 25.5 . . . . . . . . . . .length of the garden in feet

5 0
3 years ago
a machinist can produce 114 parts in 6 minutes. at this rate, how many parts can the machinist produce in 15 minutes ​
Lynna [10]

Answer:

285!

Step-by-step explanation:

First you have to find out how may parts are produced in a single minute.

We know that 114 parts are produced in 6 minutes so to find how may parts are made in one minute divide 114 by 6 and get an answer of 19

114÷6=19

Now to find how may parts are produced in 15 minutes multiply 19 (number of parts produdced in one minute) by 15 and get an answer of 285!

19×15=285

Hope this helped! :)

6 0
3 years ago
Simplify<br> 27^n+3 -6×3^3n+3/3^n×9^n+2
MrMuchimi

Answer:27^n+3–6*3^3n+3–n*9^n+2

Step-by-step explanation:

3 0
3 years ago
Can someone help me with math please. :) and thanks
ser-zykov [4K]

Answer:

A

Step-by-step explanation:

1/6 is basically divided by 6 so 24÷6=4

6 0
3 years ago
Read 2 more answers
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