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svlad2 [7]
3 years ago
9

Write an equation whose graph has intercepts at x= -4 and x= 4 and is symmetric with respect to the origin.

Mathematics
1 answer:
Allushta [10]3 years ago
7 0
Since the x-intercepts are already given, we can figure out the equation of a line quite easily.
it would be:
(x-4)(x+4)=y
if you want it not in factored form, just distribute the terms. you will get:
x^2-16=y

both are the same thing, just in different forms.
hope this helped!! xx
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(-3; -3) and (8-3). What is the slope​
pentagon [3]

Answer:

Step-by-step explanation:

(-3,-3) ; (8,-3)

Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-[-3]}{8-[-3]}\\\\=\frac{-3+3}{8+3}\\\\=0

Slope = 0. so, the line is parallel to x-axis

6 0
3 years ago
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is
anastassius [24]

Answer:

t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202    

p_v =2*P(t_{(60)}>1.202)=0.234  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from  420. So the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=424 represent the sample mean

s=26 represent the sample standard deviation

n=61 sample size  

\mu_o =420 represent the value that we want to test

\alpha=0.01 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 420 or not, the system of hypothesis would be:  

Null hypothesis:\mu = 420  

Alternative hypothesis:\mu \neq 420  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-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:  

t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=61-1=60  

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

p_v =2*P(t_{(60)}>1.202)=0.234  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from  420. So the specification is satisfied.

4 0
3 years ago
Graph the linear equations. Find three points that solve the equation -3x + 2y= 2
fredd [130]

Answer:

(0,1) , (2,4) , (4,7)

Explanation:

convert the equation into slope-intercept form (this would be y=3/2x+1)

now plug in random numbers for x and solve for y by multiplying them by 3/2 and adding 1.

7 0
3 years ago
What is math in chinese
Anestetic [448]
Im a bit rusty but i believe the characters are 数学(translates to "Mathematics") and is pronounced "shuxue"
6 0
3 years ago
Read 2 more answers
What is the slope in slope-intercept form for this graphs?
s2008m [1.1K]

Answer:

Step-by-step explanation:

since the line crosses the y axis at -4  we know that b in the slope intercept form is -4 . now we just need the slope..  and slope is rise over run  or y/x... soooo   .....

looking at the graph I see that the point (-1,4) and (0,-4) look like they are points on the graph..  

soooo....

the rise is -8 when the run is 1 or  -8/1  or just -8

use the slope intercept form  y = mx + b

y= -8x + (-4)

y = -8x -4    :)

7 0
3 years ago
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