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umka2103 [35]
3 years ago
12

What is the slope if my two points are 3,1 and 3,4?

Mathematics
1 answer:
Alborosie3 years ago
5 0
The slope would be 9.
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Simplify −45(30x−40)+(42x+4) . Write your answer in factored form.
kakasveta [241]

solution

-4(327x-451)

5 0
2 years ago
Given the relation y = 7x2 + 3, if the input is 4, what is the output? (4 points)
aivan3 [116]
I'm assuming that you meant: 
y = 7x² + 3 

Remember! Inputs are always x values (unless stated otherwise). Meaning the problem says: 
x = 4 

y = 7(4)² + 3 

The square only applies to the 4. The 7 is not going to be squared! (To be exact it only applies to whatever the value of x is. 

4² = 4·4 = 16

Remember: 
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Follow PEMDAS from left to right (or in the case above from top to bottom).

7·16 + 3 = ? 

16·7 = 10·7 + 6·7 = 70 + 42 = 112
(All I did to multiply was break it up into parts. If it confuses you don't worry about it, and just multiply it out like normal or use a calculator if you are allowed to)

112 + 3 = ? 

Our output is: 
115!
4 0
3 years ago
Read 2 more answers
If -6x + 12 = 0 and 4y + 5 =9 <br> what is the value of x + y
slega [8]

Answer:

x=2

y=1

Step-by-step explanation:

-6x+12=0

take 12 to the other side &it becomes negated then equate

-6x=-12

the negatives cancel out each other and therefore the answer is positive

x=2

4y+5=9

take 5 over to the other side &it becomes negated

4y=9-5

4y=4

y=1

8 0
2 years ago
Read 2 more answers
A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d
kenny6666 [7]

Answer:

z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2    

p_v =2*P(Z>2)=0.0455  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

Step-by-step explanation:

Data given and notation  

\bar X=25 represent the sample mean

\sigma=2 represent the sample population deviation for the sample  

n=16 sample size  

\mu_o =24 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is different from 24, the system of hypothesis would be:  

Null hypothesis:\mu = 24  

Alternative hypothesis:\mu \neq 24  

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

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

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(Z>2)=0.0455  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

6 0
3 years ago
What is the area of a rectangle with vertices (-8, -2), (-3,-2), (-3,-6), and (-8,-6)?
Gemiola [76]

Answer:

The area of the rectangle is 20 square units

Step-by-step explanation:

Through the x values of the ordered pairs, we can see that the length of the rectangle is 5

-3-(-8)=5

Through the y-values of the ordered pairs, we can see that the width of the rectangle is 4

-2-(-6)=4

The area can be found by multiplying the length and width, so this means

(5)(4)=20

8 0
2 years ago
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