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3 years ago

Divide x^3 -3x^2 by x-2 . Step 1 - Fill in the missing number:

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

First let us write the given polynomial as in descending powers of x with 0 coefficients for missing items

F(x) = x^3-3x^2+0x+0

We have to divide this by x-2

Leading terms in the dividend and divisor are

x^3 and x

Hence quotient I term would be x^3/x=x^2

x-2) x^3-3x^2+0x+0(x^2

x^3-2x^2

Multiply x-2 by x square and write below the term and subtract

We get

x-2) x^3-3x^2+0x+0(x^2

x^3-2x^2

---------------

-x^2+0x

Again take the leading terms and find quotient is –x

x-2) x^3-3x^2+0x+0(x^2-x

x^3-2x^2

---------------

-x^2+0x

-x^2-2x

Subtract to get 2x +0 as remainder.

x-2) x^3-3x^2+0x+0(x^2-x-2

x^3-2x^2

---------------

-x^2+0x

-x^2+2x

-------------

-2x-0

-2x+4

------------------

-4

Thus remainder is -4 and quotient is x^2-x-2

pantera1 [17]3 years ago

4 0

Answer:

its 2

Step-by-step explanation:

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What is the midpoint of a segment with endpoints at the point negative 4 comma negative 8 and the point 8 comma 10?

allochka39001 [22]

Answer:

Question Answer

What is the length of a segment when the coordinates of its endpoints are (-4,5) and (-6,9)? 4.5

What is the length of a segment when the coordinates of its endpoints are (-4,5) and (-6,9)? 10.8

Step-by-step explanation:

5 0

2 years ago

Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

3 years ago

A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys

Luba_88 [7]

Answer:

$z=-1.28$

And if we solve for a we got

$a=470 -1.28*60=393.2$

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would earn a certificate of recognition from the fitness association

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the time for this event of a population, and for this case we know the distribution for X is given by:

$X \sim N(470,60)$

Where $\mu=470$ and $\sigma=60$

NOTE: For this case the fastest 10% is on the lower tail of the distribution

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.9$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-1.28$

And if we solve for a we got

$a=470 -1.28*60=393.2$

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would earn a certificate of recognition from the fitness association

4 0

3 years ago

3.14 times 16 divided by 3

AleksAgata [21]

Answer:

The answer is 16.746667

Step-by-step explanation:

1) Simplify 3.14 × 16 to 50.24.

$50.24 \div 3$

2) Simplify 50.24 ÷ 3 to 16.746667.

$16.746667$

<u>Therefor</u><u>. </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>16.746667.</u>

5 0

2 years ago

Help me please!!!!!!!!

pogonyaev

Answer:

1) 4

2) 1.5

3) 8

4) 1

5) 5

6) 9

Step-by-step explanation:

= √(4x4)

= √(4)²

= √(9/4)

= √(3x3)/(2x2)

= √(3)²/(2)²

= 3/2

= 36 ÷ 9 x 2

= 36 x 1/9 x 2

= 36/9 x 2

= 12/3 x 2

= 4 x 2

= 10/10

= √(25)

= √(5x5)

= √(5)²

= 63 ÷ 9 + |2|

= 63/9 + |2|

= 21/3 + |2|

= 7 + |2|

3 0

3 years ago