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ella [17]
3 years ago
7

Perform the indicated operation. X^3+43-49x-7x^2 divides by x^2-49

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer:

The quotient is: x-7

and remainder is : -300

Step-by-step explanation:

We need to divide X^3+43-49x-7x^2 by x^2-49

First arrange the term  X^3+43-49x-7x^2 in terms of ascending order of x.

Arranging we get:

x^3 - 7x^2 -49x + 43 \  x^2-49

The division steps are shown in figure attached.

The quotient is: x-7

and remainder is : -300

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A new Community Center is being built in Oak Valley. The perimeter of the rectangular playing field is 382 yards. The length of
vesna_86 [32]

Answer:

The width is 50 yards and the length is 141 yards.

Step-by-step explanation:

Let's call: L the length of the field and W the width of the field.

From the sentence, the perimeter of the rectangular playing field is 382 yards we can formulate the following equation:

2L + 2W = 382

Because the perimeter of a rectangle is the sum of two times the length with two times the width.

Then, from the sentence, the length of the field is 9 yards less than triple the width, we can formulate the following equation:

L = 3W - 9

So, replacing this last equation on the first one and solving for W, we get:

2L + 2W = 382

2(3W - 9) + 2W = 382

6W -18 +2W = 382

8W - 18 = 382

8W = 382 + 18

8W = 400

W = 400/8

W = 50

Replacing W by 50 on the following equation, we get:

L = 3W - 9

L = 3(50) - 9

L = 141

So, the width of the rectangular field is 50 yards and the length is 141 yards.

3 0
3 years ago
A sample of n = 4 scores is selected from a population with m = 40 with s = 8, and the sample mean is M = 43. What is the standa
vladimir2022 [97]
Standard error (SE)
se=   \frac{s}{ \sqrt{n} }
Or

se =  \sqrt{ \frac{ {s}^{2} }{n} }

Therefore, SE of the mean = (8)/(2) =4
5 0
3 years ago
Make t the subject of the formula in D=k/f(b+t)
PilotLPTM [1.2K]

Answer:

(k/Df)-b = t

t=(k/Df)-b

Step-by-step explanation:

D = k/f(b+t)

k/D = f(b+t)

k/Df = b+t

(k/Df)-b = t

6 0
3 years ago
What is the scale factor from ADEF to AABC?<br> 10<br> 6<br> 20<br> 12<br> А<br> 7<br> 14
tigry1 [53]

Answer:

The scale factor is 1/2

Step-by-step explanation:

Given

\triangle DE F and \triangle ABC

Required

The scale factor from \triangle DE F to \triangle ABC

Take a corresponding side in both triangles.

We have:

DE= 20     AB = 10

The scale factor from \triangle DE F to \triangle ABC is:

k =\frac{AB}{DE}

k =\frac{10}{20}

k =\frac{1}{2}

8 0
3 years ago
What does it mean to divide figures into known shapes
Ede4ka [16]
I think it means to split a shape into common shapes. I.e. splitting a house shape into a triangle and a square
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3 years ago
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