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3 years ago

In the polynomial 4x3 + 5x2 − 12, what is the coefficient of the x2 term?

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer:

Step-by-step explanation:

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Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Wor

LenKa [72]

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

$Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}$

The mean of set of a is:

$Mean=\dfrac{200+104+100+160}{4}$

$Mean=\dfrac{564}{4}$

$Mean=141$

The mean of set of b is:

$Mean=\dfrac{270+400+483+300+x}{5}$

$Mean=\dfrac{1453+x}{5}$

It is given that,

Mean of set a: mean of set b= 3:8

$\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}$

$\dfrac{705}{1453+x}=\dfrac{3}{8}$

$8\times 705=3\times (1453+x)$

$5640=4359
+3x$

Isolate the variable x.

$5640-4359
=3x$

$1281
=3x$

Divide both sides by 3.

$\dfrac{1281}{3}
=x$

$427
=x$

Therefore, the value of x is 427.

3 0

2 years ago

The volume of a box is 4 in. wide, 2 in high and 5 in. long is

sladkih [1.3K]

Answer:

40 in^3

Step-by-step explanation:

Volume of a box is given by

V = l*w*h

V = 4*2*5

= 40 in^3

8 0

3 years ago

Three fourths divided by one eighths

Ilya [14]

3/4÷1/8 is the same as 3/4×8/1.
3×8=24
4×1=4
That becomes 24/4 which simplifies to 6. Your answer is 6.

4 0

3 years ago

4,756 rounded to the nearest thousand is

Shalnov [3]

4,756 rounded to the nearest thousand is 5,000.

8 0

3 years ago

Read 2 more answers

Please help me !!! right answers only

777dan777 [17]

Answer:

option E is the only right answer.

Step-by-step explanation:

parallel means that the lines do not intersect.

5 0

2 years ago