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Nana76 [90]
3 years ago
9

Please help me. I've been stuck all day! I need to factor 10x^2-19x-51

Mathematics
2 answers:
frutty [35]3 years ago
3 0
10X^2 + 15x-34x -51
5x (2x+3)-17(2x+3)
(5x-17) (2x+3)
castortr0y [4]3 years ago
3 0
Well, you first need to look at what goes into 10 and 51.

10:
1*10 = 10
2*5 = 10
not a lot of numbers.

51:
1*51
3*17
not a lot of numbers either.

now, very rarely is it 1 * (whatever the number, so in this case let's use 51.)

We need both numbers from x to multiply to be 10.
The only logical one here is 5*2

So far:
(5x ? ?) (2x ? ?)

Your best safe bet to do for your next one is to not use the 1*57, but the 17*3.

So, now:
(5x ? 17) (2x ? 3)
You need both to be a negative ( negative times a negative is a positive), so...

Your Answer:
(5x - 17) (2x + 3)
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Write an equation for the table 2 5 5.6 14 7 17.5 8 20
vova2212 [387]

The equation for the table is y = 2.5 x

Step-by-step explanation:

The table is:

  • x  →  2    :    5.6    :    7    :    8
  • y  →  5    :    14      :  17.5  :    20

Lets check if the table represents the linear relation by find the ratio between the change of each two consecutive y-coordinates and the change of their corresponding x-coordinates

∵ \frac{14-5}{5.6-2}=\frac{9}{3.6}=2.5

∵ \frac{17.5-14}{7-5.6}=\frac{3.5}{1.4}=2.5

∵ \frac{20-17.5}{8-7}=\frac{2.5}{1}=2.5

∴ The rate of change between each two points is constant

∴ The table represent a linear equation

The form of linear equation is y = m x + b, where m is the rate of change and b is value y when x = 0

∵ m = 2.5

- Substitute it in the form of the equation

∴ y = 2.5 x + b

- To find b substitute x and y by the coordinates of any point

  in the table above

∵ x = 2 and y = 5

∴ 5 = 2.5(2) + b

∴ 5 = 5 + b

- Subtract 5 from both sides

∴ 0 = b

∴ y = 2.5 x

The equation for the table is y = 2.5 x

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

5 0
3 years ago
A recent survey suggests that 85% of college students have a job, 54% live on campus, and 42% have a job and live on campus. Wha
OLga [1]

\frac{97}{100} probability that a randomly chosen college student either has a job or lives on campus.

What is probability?

  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
  • The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

To find the probability that a randomly chosen college student either has a job or lives on campus:

Given: 85% of college students have a job, 54% live on campus, and 42% have a job and live on campus.

So, out of 100 students, 42 students either has a job or live on campus.

43 college students have a job and 12  live on campus.

So, 43 + 42 + 12 = 85 + 54 - 42

85 + 12 = 139 - 42

97 = 97

Therefore, \frac{97}{100} probability that a randomly chosen college student either has a job or lives on campus.

Know more about probability here:

brainly.com/question/24756209

#SPJ4

3 0
2 years ago
The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. The article "Testing P
zysi [14]

Answer:

Step-by-step explanation:

Hello!

Given the variable

X: breakdown voltage of an insulating liquid under certain conditions.

a)

Graphic in attachment.

Box: The median is closer to the third quartile than the first quartile showing skewness to the left.

The black dot in the middle of the box represents the sample mean (X[bar]) as you can see it is also moved to the right side of the distribution, affected by the presence of an outlier.

Whiskers:

The upper whisker is smaller than the lower one and there is a value that can be considered an outlier.

Altogether you can say that the distribution of the data set is skewed to the left.

b)

To estimate the population mean you need the population to be at least normal. The box plot shows that the distribution is not symmetrical but, considering that the sample size is n= 48 you can apply the Central Limit Theorem and approximate the sampling distribution to normal.

X[bar]≈N(μ;σ²)

As the distribution is approximate, using the sample standard deviation (since we don't know the population value) for the distribution standard deviation is also valid ⇒ Z= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } }

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

∑X= 2626 ∑X²= 144950 n= 48

X[bar]= ∑X/n= 2626/48= 54.71

S²= 1/n[∑X²- (∑X)²/n]= 1/47[144950-(2626)²/48]= 27.36

S= 5.23

Z_{1-\alpha /2}= Z_{0.975}= 1.96

54.71 ± 1.96 * \frac{5.23}{\sqrt{48} }

[53.22; 56.18]kV

c)

95% CI

amplitude a=2 kV  i.e. semi amplitude d= 1 kV

The semi amplitude or margin of error for the CI can be calculated as:

d= Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

From this formula you can clear the sample size

\frac{d}{Z_{1-\alpha /2}} = \frac{S}{\sqrt{n} }

(\frac{d}{Z_{1-\alpha /2}} )*\sqrt{n} = S

\sqrt{n} = S* (\frac{Z_{1-\alpha /2}}{d} )

n = (S* (\frac{Z_{1-\alpha /2}}{d} ))^2

n= (5.23*(\frac{1.96}{1} ))^2= 105.08= 106

3 0
3 years ago
Which statement is true about the graph of function f?
omeli [17]

Answer:

answer D

Step-by-step explanation:

6 0
3 years ago
X^2 + 2x + 8 find the solution
Lina20 [59]

x^2 + 2x + 8

First, we'll try using the AC method.

(Because the degree of the quadratic is 2, there are two solutions.)

We cannot split the term using the AC method.

We'll instead use the quadratic formula.

\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

Plug in values.

(-2 +/- √4 - 32)/2

(-2 +/- √-28)/2

(-2 +/- i√28)/2

(-2 +/- 2i√7)/2

(-1 +/- i√7)

<h3>x = (-1 + i√7)</h3><h3>x = (-1 - i√7)</h3><h3>The two values of x are found.</h3>
4 0
3 years ago
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