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svetlana [45]
3 years ago
10

What is an equation of the line that passes through the points (−7,-6) and (-1,0)

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0

Step-by-step explanation:

the slope = (0+6)/(-1+7) = 6/6 = 1

the Equation :

y-0 = 1(x+1)

y = x + 1

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At a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progr
dmitriy555 [2]
X = number of singles matches
y = number of doubles mnathes

so we have the equation x + y = 13.......(1)

also 

2x + 4y  = 38 ...........(2)

(1) and (2) are the required equations

b)  Find how many maches are in progress by solivng the above equations:-

x + y  =  13   multiply this by -2:-
-2x - 2y = -26
2x + 4y = 38   Adding to removes the  terms in x:-

2y = 12

y = 6  

so x = 13-6 = 7

So the answer is  6 double matches and 7 singles are in progress.
5 0
3 years ago
Mike and Beth are saving money to go to Disneyworld. They need at least $1975 in order to go. Mike mows yards and Beth will wash
Anon25 [30]

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6 0
3 years ago
A study of pollutants showed that certain industrial emissions should not exceed 2.3 parts per million. You believe a particular
Musya8 [376]

Answer:

t=\frac{3.3-2.3}{\frac{0.4}{\sqrt{9}}}=7.5    

The degrees of freedom are given by:

df=n-1=9-1=8  

And the p value would be:

p_v =P(t_{(8)}>7.5)=0.0000346  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 2.3 ppm the safe limit

Step-by-step explanation:

Information provided

\bar X=3.3 represent the sample mean in ppm

s=0.4 represent the sample standard deviation

n=9 sample size  

\mu_o =2.3 represent the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value

System of hypothesis

We want to verify if the true mean is higher than 2,3 ppm, the system of hypothesis would be:  

Null hypothesis:\mu \leq 2.3  

Alternative hypothesis:\mu > 2.3  

The statistic for this case is given by:

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

Replacing the info given we got:

t=\frac{3.3-2.3}{\frac{0.4}{\sqrt{9}}}=7.5    

The degrees of freedom are given by:

df=n-1=9-1=8  

And the p value would be:

p_v =P(t_{(8)}>7.5)=0.0000346  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 2.3 ppm the safe limit

6 0
3 years ago
I already answered this but I just want to make sure if I did it right
galben [10]
\bf \left( \cfrac{2}{3} \right)^3\cdot \left( \cfrac{3}{5} \right)^3\implies \cfrac{2^3}{\underline{3^3}}\cdot \cfrac{\underline{3^3}}{5^3}\implies \cfrac{2^3}{5^3}\implies \cfrac{8}{125}
6 0
3 years ago
Find the coordinates of point T
Finger [1]

Answer:

T= (2, 0)

Step-by-step explanation:

(2,0)  + (4, 4) = (6, 4)

(6, 4) + (4, 4) = (10, 8)

6 0
3 years ago
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