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Anna [14]
3 years ago
11

What are the intercepts of -4x 6y-5z=60

Mathematics
1 answer:
algol [13]3 years ago
6 0
X intercept is when y and z=0
yinter cept is when x and z =0
zintercept is when x and y =0

set to zero and solve

xint
-4x+6(0)-5(0)=60
-4x=60
divide -4
x=-15
xint is (-15,0,0)

ying
-4(0)+6y-5(0)=60
6y=60
divide by 6
y=10
yint is (0,10,0)

zint
-4(0)+6(0)-5z=60
-5z=60
divide by -5
z=-12
zint is (0,0,-12)




xint is (-15,0,0)
yint is (0,10,0)
zint is (0,0,-12)
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C. 11

Step-by-step explanation:

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Answer:

see below

Step-by-step explanation:

domain is all x values for which a graph has
and range is all y values for which a graph has

domain in this case is -4<x<4. The range is -3<= x <= 3

Function is increasing when slope of the line is positive, function is decreasing when slope of the line is negative.

When 2 lines meet and there is an edge like at (-1,3) there is no increase of decrease of the function. If you are in calculus, this is because the derivative of the function will not be valid at those points. If you are not in calculus, then don't pay attention to the derivative stuff.

Function is increasing on interval -4<x<-1 and 2<x<4
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2 years ago
$1689 invested for 4 years at 3% compounded annually ?
Ira Lisetskai [31]

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

The amount of money gained after an investment is compounded is given by:

A=P(1+\frac{r}{n} )^{nt}

Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time

Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:

A=P(1+\frac{r}{n} )^{nt}\\\\A=1689(1+\frac{0.03}{1} )^{4*1}\\\\A=\$1901

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

Find out more at: brainly.com/question/14295570

5 0
2 years ago
The government of Preon (a small island nation) was voted in at the last election with 58% of the votes. That was 2 years ago, a
mel-nik [20]

Answer:

a) z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250  

b) p_v =2*P(z>2.250)=0.0244  

If we compare the p value and the significance level given we see that p_v we have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Data given and notation

n=114 represent the random sample taken

\hat p=0.684 estimated proportion of people that their approval rating might have changed

p_o=0.58 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis

We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:  

Null hypothesis:p=0.58  

Alternative hypothesis:p \neq 0.58  

Part a

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250  

Part b: Statistical decision  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.250)=0.0244  

If we compare the p value and the significance level given we see that p_v we have enough evidence to reject the null hypothesis at 5% of significance.

7 0
3 years ago
Pls help :) not understanding this thank you!!!
Vlad [161]

Answer: equals Z

Step-by-step explanation:

simple you do y divided by mass energy

3 0
2 years ago
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