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3 years ago

If (x+2) Is a factor of x^3-6x^2+kx+10 k=?

Mathematics

1 answer:

Arlecino [84]3 years ago

7 0

The value of k is -11

Further explanation:

Any number being a factor states that the value of expression will be equal to zero at the factor.

Given

$x^3-6x^2+kx+10$

and

x+2 is a factor

x+2 = 0

x=-2

If x=-2 is a factor of given expression then the expression will be zero at x=-2

So.

$(-2)^3-6(-2)^2+k(-2)+10 = 0\\-8-6(4)-2k+10 = 0\\-8-24-2k+10 = 0\\-22-2k=0\\-2k=22\\k = -11$

The value of k is -11

Keywords: Synthetic division, Factorization

Learn more about synthetic division at:

#LearnwithBrainly

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Salem High School's winter sports teams WON 72% of their games last season. If the teams played 50 games, how many games did the

Dmitriy789 [7]

Answer

Find out the how many games did the teams lose .

To prove

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ values}$

As given

Salem High School's winter sports teams WON 72% of their games last season.

If the teams played 50 games .

Percentage = 72%

Total value = 50

Put in the formula

$72 = \frac{Number\ of\ games\ win\times 100}{50}$

$Number\ of\ games\ win = \frac{72\times 50}{100}$

Number of games win = 36

Number of games teams loses = Total number of games - number of games win

= 50 - 36

= 14

Therefore the number of games team loses are 14 .

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3 years ago

The regression equation y = -0.414x + 106.55 approximates the percent of people in an

murzikaleks [220]

The correct option will be: A. 67%

Explanation

Given equation is: $y = -0.414x + 106.55$ , where $x$ is the length of the film in minutes and $y$ is the percentage of people finish watching the film.

Here, the length of the documentary is given as 95 minutes. So, we will plug $x=95$ into the above equation and get....

$y=-0.414(95)+106.55\\ \\ y=-39.33+106.55\\ \\ y=67.22 \approx 67$

(Rounded to the nearest percent)

So, the percentage of people in an audience who will finish watching a documentary that is 95 minutes long will be 67%

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3 years ago

Angle MNO is formed by segments MN and NO on the following coordinate grid:

Eva8 [605]

Answer:

I am 90% sure that the answer is M'N'O' is 90*

Step-by-step explanation:

A line segment MN is shown as M = -1,1 and N= -5,4 this makes a diagonal line across the grid. Another line segment NO is shown with O as ordered pair negative 1, 4. Angle MNO is rotated 90 degrees counterclockwise about the origin to form angle M′N′O′. this is where the angles meet, Rotating the shape (or the angles) does not change the degree of the angle of the shape. I am 99% sure that an 90* angle would be formed. but im just in middle school so what do i know?

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2 years ago

Read 2 more answers

A store in Ashland purchased a cat calendar at a cost of $1.30 and marked it up 100%. Later on, Fernando bought the cat calendar

Arada [10]

Answer:

$2.99

Step-by-step explanation:

Given that:

Purchase price of cat calendar = $1.30

Markup = 100%

Hence, price at which the cat calendar was sold :

1.30 + 100%(1.35)

$1.30 + $1.30 = $2.60

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Amount paid as sales. tax _

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Total amount paid :

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3 years ago

Great white sharks have triangular teeth with a height that is 1 centimeter longer than the base. if the area of one tooth is 15

lisov135 [29]

A = (H * B) / 2.......2A = H * B
A = 15
H = B + 1

2(15) = H * B
30 = B(B + 1)
30 = B^2 + B
B^2 + B - 30 = 0
(B + 6)(B - 5) = 0

B + 6 = 0
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B - 5 = 0
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H = B + 1
H = 5 + 1
H = 6 <=== height is 6 cm

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3 years ago