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Amanda [17]
3 years ago
12

2x - 9x + 17 = -4Solve for x plz.​

Mathematics
1 answer:
vampirchik [111]3 years ago
3 0
The solution is x = 3
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4 0
3 years ago
Read 2 more answers
Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

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

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
3 years ago
To show a repeating decimal, a bar is placed over the repeating pattern. <br> True or False
solniwko [45]

Answer:

True

Step-by-step explanation:

Example: 1.666666...

In that case, place the bar on top of the last 6

4 0
3 years ago
A cruise ship is 542 feet long. Susie is making a scale model of the boat to place in the front hall display case. The display c
s2008m [1.1K]

Answer:

the answer is c. 1 inch=27 feet

Step-by-step explanation:

32 is to big and 22 is to small but 27 will fit perfectly because its 20 inches

3 0
3 years ago
The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

5 0
3 years ago
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