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balandron [24]
3 years ago
14

Choose the equation that represents the graph below: (1 point) Graph of a line passing through points 0 comma 6 and 9 comma 0 y

= −2x − 6 y = two thirds x + 6 y = − two thirds x + 6 y = 2x + 6
Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

Option C is correct.

Equation of a line y=\frac{-2}{3}x+6 passing through (0,6) and (9,0).

Explanation:

Given the two points (0, 6) and (9 ,0).

To find the equation for the given two points (x_{1},y_{1}) and (x_{2},y_{2}) is,

y-y_{1}=m(x-x_{1}); where m is the slope and is given by:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

First find the slope m:

m=\frac{0-6}{9-0} =\frac{-6}{9} =\frac{-2}{3}

Substitute this value in equation of line:

y-6=\frac{-2}{3} (x-0) or

y-6=\frac{-2}{3} x

⇒ y=\frac{-2}{3}x+6

Therefore, the equation for the given point is:  y=\frac{-2}{3}x+6


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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat
madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is  H_o  :  \mu =  122

the alternative hypothesis is H_a  :  \mu \ne  122

The test statistics is  t =  - 1.761

The p-value is  p =  P(Z  <  t ) = 0.039119

so

    p  \ge 0.01

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  = 122

     The sample size is  n=  38

    The sample mean is  \= x  =  116 \ feet

     The standard deviation is \sigma  =  21

     

Generally the null hypothesis is  H_o  :  \mu =  122

                the alternative hypothesis is H_a  :  \mu \ne  122

Generally the test statistics is mathematically evaluated as

         t =  \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }

substituting values

         t =  \frac { 116 -  122 }{\frac{ 21 }{ \sqrt{ 38} } }

         t =  - 1.761

The p-value is mathematically represented as

      p =  P(Z  <  t )

From the z- table  

     p =  P(Z  <  t ) = 0.039119

So  

     p  \ge 0.01

 

         

     

           

4 0
3 years ago
13 units from (10,6)
svp [43]
The answer is ( 23,7)
5 0
3 years ago
36×36 show work use math alagrithem
amm1812

Answer:

1296

your welcome :)))))))))))))))))))))))))))))))))

7 0
3 years ago
A T-shirt department store cost 7.50.the total cost in dollar of a T-shirt is givien by the function C(a)=7.5a
tigry1 [53]

Given cost function C(a) = 7.5a, where a is the number of T-shirts.

Let us complete table.

We need to plug a=1,2,3,4 in above function to get the costs to complete the table.

For a =1

C(1)= 7.5(1) = 7.50

For a =2

C(2)= 7.5(2) = 15.00

For a =3

C(3)= 7.5(3) = 22.50

For a = 4

C(4)= 7.5(1) = 30.00

In order to find the common difference we need to find the diffrences of costs 15-7.50 = 7.50

22.50-15.00=7.50.

<h3>Therefore, common difference is 7.5.</h3>

a represents the number of T-shirts.

Domain of a is the numbers we can take for a.

So, we can take value for a as 0 or greater value.

Therefore, domain for a would be a is gerater than or equal to 0.

<h3>Domain : a≥0</h3>

6 0
3 years ago
Find the slope of the line on the graph. Write yoyur answer as a frction or a whole number, not a mixed number or decimal.
BigorU [14]
Okay, so I'm almost positive the slope is m=1/1. I know this because the line rises one and runs one. 
7 0
3 years ago
Read 2 more answers
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