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netineya [11]
3 years ago
10

What is the result when x4 + 9x^3 - 20x2 + 14x – 14 is divided by x – 1? If

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0
This was done from using the method of synthetic division. I attached the image. Hope this helps

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Three times the quantity five less than x, divided by the product of six and x
Elden [556K]

Answer:

\frac{3(x-5)}{6x}

Step-by-step explanation:

we know that

The phrase "Three times the quantity five less than x" means 3 multiplied by the difference of x minus 5

3(x-5)

The phrase "the product of six and x" means the number 6 multiplied by x

6x

therefore

The phrase" Three times the quantity five less than x, divided by the product of six and x" is equal to the quotient of 3(x-5) and 6x

\frac{3(x-5)}{6x}

7 0
3 years ago
Evaluate the algebraic expression for the given variable <br> -x- -3,x=-5
Dvinal [7]
Here u go, u replace x by the number

6 0
3 years ago
on the first day of a trip, Ricky drove 800 miles in 20 hours. At that rate, how many miles did he drive in 1 hour?
mr Goodwill [35]

We are trying to find miles/hour, which shows that we are going to be dividing the total number of miles by the total number of hours. Thus, in this case, the miles/hour rate will be:

\dfrac{800 \,\textrm{miles}}{20 \,\textrm{hours}} = 40 \dfrac{\textrm{miles}}{\textrm{hour}}


He drove 40 miles in one hour.

7 0
3 years ago
Read 2 more answers
What is the measure of NMR? <br><br> 27<br> 63<br> 107<br> 117
ASHA 777 [7]
63 because both angles are the same
5 0
3 years ago
If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, a
Karolina [17]
Let h = height of the box,
x = side length of the base.

Volume of the box is  V=x^{2} h = 115. 
So h = \frac{115}{ x^{2} }

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
S = 2( x^{2}  + hx + hx)  \\ = 2 x^{2}  + 4hx  \\  = 2 x^{2}  + 4( \frac{115}{ x^{2} } )x
= 2 x^{2} + \frac{460}{x}
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

S' = 4x- \frac{460}{ x^{2} }  = 0
4x = \frac{460}{ x^{2} }  \\  4x^{3} = 460  \\ x^{3} = 115  \\ x =  \sqrt[3]{115} = 4.86
Then h=  \frac{115}{4.86^{2}} = 4.87
So the box is 4.86 in. wide and 4.87 in. high. 

5 0
3 years ago
Read 2 more answers
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