Which equation has a slope of 4 and contains the point (2, 3)?

redoing as sum ans appears to be not right...

Step-by-step explanation:

1. Which function pass through the points (1, 4), (2, 9), and (3, 16)?

A.y = (x + 1)2

B.y = (x + 3)2

C.y = 7x - 5  

substitute x=1 n y=4, the only correct fn is A

2.Suppose that after swimming 1 lap in a pool, you can swim 10 laps in an hour. What is an equation that represents the total number of laps you have swam y in terms of the number of hours x?

A.y(x) = 10 + x

B.y(x) = 10(x + 1)

C.y(x) = 10x + 1

10 laps in an hour so in x hours , u swim 10x laps

total no. of laps, y=10x+1 where 1 is the initial lap already swum.

3.Is the following an arithmetic sequence? If so, what is the common difference? {4, 2, 0, -2, -4, -6, …}

Yes, d = -2

No

Yes, d = 2

each no is 2 smaller than the one before it: 2-4=0-2=-2-0=-2

so ans is yes, its an arith sequence n d = -2

Which function has the following graph?

a. y = -2x + 4  

b. y = 2x + 4  

c. y =12x + 4

no idea as there is no graph

What is the slope of the line containing (3, 5) and (2, 7)?

a. m = 2  

b. m = -2  

c. m = 125

slope, m = (7-5)/(2-3) = -2

The graph of a line passes through the point (-3, 2) and has a slope of 4. What is an equation of the line?

y = 4x - 10

y = 4x - 11

y = 4x+ 14

slope of 4 so the eqn is y = 4x + c

put x=2 n y=-3 into it,  -3 = 4(2) + c

c = -11

ans is y = 4x - 11

Which line is parallel to y = 4x - 2?

y = -14x + 3

y = -4x + 5

y = 4x + 5

y = 4x + 5 has the same slope i.e. parellel to y = 4x -2

Which system of equations has (2, 3) as a solution?

a. y = 2x - 1  

y = x + 1  

b. y = 2x + 1  

y = x - 1  

c. y = 4x - 5

y = 2x

put x=2 n y=3 in, the only eqns that fit are a.

21

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18.75 gallons

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