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BlackZzzverrR [31]
2 years ago
6

2(3x+6) = 3(2x-6) solve equations with variables on both sides

Mathematics
1 answer:
Serjik [45]2 years ago
6 0
Answer:

2(3x+6) = 6x+12
3(2x-6) = 6x-18

6x+12=6x-18

Subtract 12 from 18, which gives you:

6x=6x-6

Subtract the 6x on the opposite side of the equal side, and your answer is: x = -6
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Evaluate the function f(x) = x2 +1 for f(2).<br> 1<br> 5<br> 7
zaharov [31]

Answer:

b) 5

Step-by-step explanation:

f(x) = x² + 1

f(2) = (2)² + 1

= 4 + 1

= 5

8 0
2 years ago
The Genetics &amp; IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi
Reika [66]

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy =  0.5

As per given , we have

Null hypothesis : H_0: p\leq0.5

Alternative hypothesis :  H_a: p>0.5

Since H_a is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: \hat{p}=\dfrac{239}{291}\approx0.82

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} , where n is sample size ,  \hat{p} is sample proportion and p is the population proportion.

\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for  0.01 significance level = z_{0.01}=2.326

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

7 0
3 years ago
3. Evaluate<br> (-2)^3 + (-5+8)/3-15
Ann [662]
The answer to this problem would be -22
3 0
3 years ago
4 (b-6)+19 simplify the expression
BlackZzzverrR [31]
4b - 6b + 19
Answer : -2b + 19
3 0
3 years ago
B/ 21 Marks
Serggg [28]

Answer:

y = 3x + 1.

Step-by-step explanation:

The slope is y2-y1/x2-x1

= 10/1/ 3-0

= 9/3

= 3.

Using the point-slope form for a straight line:

y-y1 = m(x-x1)     (m = slope)

y - 10 = 3(x - 3)

y - 10 = 3x - 9

y = 3x - 9 + 10

y = 3x + 1  is the required equation.

5 0
2 years ago
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