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sergejj [24]
2 years ago
6

Please answer answer math question

Mathematics
1 answer:
Lynna [10]2 years ago
8 0

Only option d is the correct answer as x = 3 is a solution to the equation.

To solve this problem, we have to substitute the value of x into the equation and see if it is equal to zero.

<h3>Solution of an Equation</h3>

a)

3x+7 = x - 8

when x = -6

substitute the value of x

3x+ 7 = x - 8\\x = -6\\3x-x = -8-7\\2x = -15\\2(-6) = -15\\-12 \neq -15

equation (a) is wrong.

b)

-2x-8=-4x-1\\x = 3

collect like terms and substitute for x

-2x-8=-4x-1\\x = 3\\-2x+4x= -1+8\\2x = 7\\2(3) = 7\\6\neq 7

equation(b) is wrong

c)

-5x+7 = 2x - 14\\x = -8\\

collect like terms and substitute for x

-5x+7 = 2x - 14\\x = -8\\7+ 14 = 2x + 5x\\21 = 7x\\21 = 7(-8)\\21 \neq -42

d)

-(x-1)=4x-5-3x\\x = 3\\-(x-1) = 4x -5 -3x\\-x+1 = x- 5\\2x = 6\\2(3) = 6\\6 = 6\\

From the above calculation, only option d is the correct answer as x = 3 is a solution to the equation.

Learn more on solutions of equation here;

brainly.com/question/16863577

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Rewrite in simplest terms: 8r – 4(7r – 5)
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Step-by-step explanation:

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Three times the sum of a number and four and five
BabaBlast [244]

Answer:

3x+27

Step-by-step explanation:

3(x+4+5)=

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6 0
3 years ago
Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution
kotegsom [21]

Answer:

a) 0.025 level of significance

The calculated t - value t = 2.88 > 3.58 at 0.025 level of significance

Therefore null hypothesis is rejected

The data indicate that the dividend yield of all Australian bank stocks is higher than 7.9%

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' has a normal distribution

Given sample size 'n' =11

Mean of the sample (x⁻)  = 9.89% = 0.0989

Standard deviation of the sample (s) = 2.3% = 0.023

Mean of the Population ' μ' = 7.9% = 0.079

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:H₀:</em></u>' μ'  = 0.079

<u><em>Alternative Hypothesis</em></u> :μ'  > 0.079

Test statistic  

         t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

        t = \frac{0.0989-0.079}{\frac{0.023}{\sqrt{11} } }

       t =  2.8840

Degrees of freedom

ν = n-1 = 11-1 =10

<em>Level of significance </em>

t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } = t_{0.025}

t_{0.025} , 10 = 3.5814

<u><em>Step(iii):-</em></u>

<em>The calculated t - value t = 2.88 > 3.58 at 0.025 level of significance</em>

<em>Therefore null hypothesis is rejected</em>

<em>The data indicate that the dividend yield of all Australian bank stocks is higher than 7.9%</em>

 

                                 

7 0
3 years ago
HELP: Of 580 students in a high school graduating class 45% are planning to go to college. How many of the graduates are plannin
Rina8888 [55]

Answer:

261 of the graduates are planning to go to college.

Step-by-step explanation:

This is a proportion question.

x         45

___ = ___

580    100

First do 45 x 580 = 26,100

Then divide by 100 to get 261.

6 0
1 year ago
Read 2 more answers
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