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egoroff_w [7]
2 years ago
10

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)?

Mathematics
1 answer:
liubo4ka [24]2 years ago
4 0

The quotient of x^{3}+3x^{2} -4x-12 divided by x^{2} +5x+6 is (x-2_.

Given the polynomial x^{3}+3x^{2} -4x-12 and x^{2} +5x+6 and the first expression or polynomial is divided by second.

Quotient is a number that is obtained by dividing two numbers. It can be of two numbers or two expressions. Remainder is a number or an expression left after division of two numbers.

To find the quotient of x^{3}+3x^{2} -4x-12 divided by  , we have to divide the expression first.

We know that ,

Divident=Divisor*Quotient+remainder

x^{3}+3x^{2} -4x-12=x^{2} +5x-6*(x-2)-12

If we carefully watch the above equation and compares with the above formula then we can easily find that the value of quotient is (x-2).

Hence the quotient of x^{3}+3x^{2} -4x-12 divided by x^{2} +5x-6 is (x-2).

Learnmore about quotient at brainly.com/question/673545

#SPJ4

Question is incomplete as the given expressions are incomplete as they should be like this:

x^{3}+3x^{2} -4x-12 and x^{2} +5x-6.

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The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the
Alekssandra [29.7K]
After 1.4 seconds, t = 1.4.
h(t) = 150 - 9(1.4)
Multiply 9 by 1.4 to get 12.6. 
h(t) = 150 - 12.6 
Subtract 12.6 from 150 to get 137.4. 
h(t) = 137.4.
The height of the ball would be 137.4 after 1.4 seconds. 
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3 0
3 years ago
Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and
Luda [366]

Answer:

C. 45 and 141 seconds

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 93 seconds

Standard deviation = 16 seconds

99.7% of running times are approximately between:

By the Empirical rule, within 3 standard deviations of the mean, so between 3 standard deviations below the mean and 3 standard deviations above the mean

3 stnadard deviations below the mean

93 - 3*16 = 45 seconds

3 standard deviations above the mean

93 + 3*16 = 141 seconds

The correct answer is:

C. 45 and 141 seconds

3 0
3 years ago
Graph the line with slope 1 passing through the point (5,1).
vfiekz [6]

Answer:

y= x-4

Step-by-step explanation:

Since we have a point, and the slope, we can use the point slope formula

y-y_{1}=m(x-x_{1}  )

m is the slope, y1 is the y coordinate of the point and x1 is the x coordinate of the point.

We know that m is 1, y1 is 1, and x1 is 5, so we can substitute them in

y-1=1(x-5)

Solve for y by isolating it

Distribute the 1

y-1=1*x+ 1*-5

y-1=x-5

Add 1 to both sides

y=x-4

7 0
3 years ago
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Nady [450]
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6 0
3 years ago
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Solve 5x+7 &gt; 17.<br> {x1x&lt;2}<br> O {XIX&gt; 2}<br> O {xIx&gt;-2}<br> O {x1x &lt; -2}
fgiga [73]

Answer:

The answer is x > 2

Step-by-step explanation:

to solve this inequality:

5x+7 > 17

Put "-7" on both sides

5x+10

divide by 5 on both sides

your answer should be 2.

8 0
2 years ago
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