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anyanavicka [17]
3 years ago
11

10x^3 - 25x^2 + 20 How to factor this

Mathematics
1 answer:
patriot [66]3 years ago
5 0

5(2x^2-x-2)(x-2)

Step-by-step

Answer:  5(\frac{10x^3}{5}+\frac{-25x^2}{5}+\frac{20}{5}) \\\\5(2x^3-5x^2+4)\\\\5(2x^2-x-2)(x-2)

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What number is missing from the data set if the mean is 16? 14 12 19 X
Pie

Answer:

your numbers would be 14 12 19 19. Mean is the average. add the 4 numbers and divide by 4

Step-by-step explanation:

5 0
3 years ago
Slope intercept is what they're looking for
antiseptic1488 [7]
Super easy

y=mx+b
m=slope
b=yinterept

yintercept=4
slope=-3
y=-3x+4
4 0
3 years ago
The time required for the first stage of an assembly line is normally distributed with a mean of 28 minutes and variance of 5 mi
RoseWind [281]
<span>The mean for both processes is 28+17 = 45 minutes.
The variance is additive, so the total variance is 5+4 = 9. The standard deviation is the square root of variance, which is 3 minutes.
Then the z-score associated with a time of x = 50 minutes is:
z = (x - mean)/SD = (50 - 45)/3 = 1.67
From a z-table, the probability that (z > 1.67) is 0.0475.
</span>
7 0
3 years ago
LMNO is a parallelogram, with and . Which statements are true about parallelogram LMNO? Select three options.
Soloha48 [4]

In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and

m∠N is 180°.

Response:

The true statements are;

  • <u>x = 11°</u>
  • <u>m∠N = 59°</u>
  • <u>m∠O = 121°</u>

<h3>Which property of parallelogram are used to find the true statements?</h3>

The possible drawing of the parallelogram LMNO created with MS Visio is attached.

From the drawing, we have;

m∠M = 11·x

m∠N = 6·x - 7

The properties of a parallelogram are;

Opposite angles are equal.

Adjacent angles are supplementary

Which gives;

11·x + 6·x - 7 = 180°

17·x = (180 + 7)° = 187°

x = \mathbf{\dfrac{187^{\circ}}{17} }= 11^{\circ}

m∠M = 11 × 11° = 121° = m∠O

m∠N = 6 × 11° - 7 = 59° = m∠L

Therefore;

The statements that are true are;

  • x = 11°
  • m∠N = 59°
  • m∠O = 121°

Learn more about the properties of a parallelogram here:

brainly.com/question/7697302

7 0
2 years ago
You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s
fredd [130]

Answer:

Time spent rowing down stream =100\ seconds

Speed of boat in still water =14\ ms^{-1}

Step-by-step explanation:

Let speed of boat in still water be = x\ ms^{-1}

Speed of current = 10\ ms^{-1}

Speed of boat down stream = \textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}

Distance rowed down stream = 2400 m

Time spent rowing down stream = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s

Speed of boat up stream = \textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}

Distance rowed up stream = \frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m

Time spent rowing up stream = \frac{Distance}{Speed}=\frac{400}{x-10}\ s

We know that,

\textrm{Time spent rowing down stream =Time spent rowing up stream}

So,

\frac{2400}{x+10}=\frac{400}{x-10}

Cross multiplying

2400(x-10)=400(x+10)

Dividing both sides by 400

\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}

6(x-10)=x+10

6x-60=x+10

Adding 60 to both sides.

6x-60+60=x+10+60

6x=x+70

Subtracting both sides by x

6x-x=x+70-x

5x=70

Dividing both sides by 5.

\frac{5x}{5}=\frac{70}{5}

∴ x=14

Speed of boat in still water =14\ ms^-1

Time spent rowing down stream =\frac{2400}{14+10}=\frac{2400}{24}=100\ s

3 0
3 years ago
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