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zhenek [66]
4 years ago
6

4. For each equation, determine if =-2 is a solution. Explain or show your reasoning.

Mathematics
1 answer:
Aneli [31]4 years ago
6 0

Answer:

a. 14 b. -2

Step-by-step explanation:

a. 10=2x-18

28=2x ; x=14

b. 3x+12=2x+6+4

3x+12=2x+10

x=-2

You might be interested in
What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]
77julia77 [94]

Answer:

Average rate of change = 3

Step-by-step explanation:

  • We know that the average rate of change is basically a measure of the slope of the  secant line  in the closed interval [a, b].

here   a = -3 and b = 4

  • f(b) = f(4) = 27
  • f(a) = f(-3) = 6

⇒ Average rate of change = f(b) - f(a)  / b - a

                                            = (27 - 6) / (4 - (-3))

                                            = 21 / 7

                                            = 3

Therefore, Average rate of change = 3

6 0
3 years ago
What is the answer for number 11
IRINA_888 [86]
No, because you have two y-points that are the same.
6 0
3 years ago
What is the solution of the system? Use elimination.
denis-greek [22]
Eliminate y's
multiply second equaiton by 4
4x+4y=-4

add to first equation

3x-4y=-24
<u>4x+4y=-4 +</u>
7x+0y=-28

7x=-28
divide both sides by 7
x=-4
sub back

x+y=-1
-4+y=-1
add 4 to both sides
y=3

(x,y)
(-4,3)
D is answer
4 0
3 years ago
Read 2 more answers
James and lena decide to share the cost of buying a car that costs $2500. If James agrees to pay $250 more than Lena, what is th
sesenic [268]
I believe it's $2250 since you just subtract.
4 0
4 years ago
Read 2 more answers
An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t
Fynjy0 [20]

Answer:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

\bar X=31.1 represent the sample mean  

\sigma=1.3 represent the population standard deviation

n=140 sample size  

\mu_o =31.3 represent the value that we want to test  

\alpha=0.02 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:  

Null hypothesis:\mu =31.3  

Alternative hypothesis:\mu \neq 31.3  

Since we know the population deviation, the statistic is given by

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing we got:

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0
3 years ago
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