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poizon [28]
3 years ago
7

Wht is -3(2x-1)+8=15

Mathematics
1 answer:
Svetllana [295]3 years ago
5 0

Answer:

x=-\frac{2}{3}

Step-by-step explanation:

subtract -3(2x-1)+8=15

          -8    -8

_____________

-3(2x-1)=7

divide

\frac{-3(2x-1)}{-3} =\frac{7}{3}

then simplify

2x-1=\frac{7}{3}

add both sides

2x-1+1=\frac{7}{3}+1

simplify again

2x-1+1=\frac{7}{3}+1=2x=-\frac{4}{3}

divide by 2

2x=-\frac{4}{3}

-2    -2

_________

2x÷2=1

-\frac{4}{6}divided by 2

x=-\frac{2}{3}

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\lim_{x \to 4} f(x)=x^2+3x-1
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it approaches 27 as x approaches 4
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3 years ago
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How do you solve equations that contain multiplication or division
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Left to right. Whatever comes first (multiplication or division) you do. This is all part of the PEMDAS/Order of operations.

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3 years ago
The roots of the equation 2x^2+8x-7=-2 are?
olchik [2.2K]
<span>2x^2+8x-7=-2
</span><span>2x^2+8x - 5 = 0

using the formula:- x = [-8 +/- sqrt(8^2 - 4*2*-5) ]  / 4
                                  =  -2 +/- sqrt 104)/2
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</span>
6 0
3 years ago
The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{236100}{8} = 29512.5

Sum of squares of differences = 3408750

S.D = \sqrt{\frac{3408750}{7}} = 697.82

Population mean, μ = $30,000

Sample mean, \bar{x} = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars} We use one-tailed t test to perform this hypothesis.

Formula:

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

Putting all the values, we have

t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975

Now,

t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894

Since,                  

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0
4 years ago
Please help me in solving this 4Log216 = 12x​
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Answer:

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Use properties of logs

log(216^(1/3)) = x

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3 years ago
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