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ruslelena [56]
3 years ago
15

PLEASE HELP 70 POINTS

Mathematics
2 answers:
finlep [7]3 years ago
5 0

Answer:

<u>Given line:</u>

  • y = 3x - 1

The table has x-values and asks to find f(x) for each x.

<u>f(x) is same as y, plug in x- values to get f(x):</u>

  • x = - 1 ⇒ f(-1) = 3(-1) - 1 = -3 - 1 = - 4
  • x = 0 ⇒ f(0) = 3(0) - 1 = 0 - 1 = - 1
  • x = 2 ⇒ f(2) = 3(2) - 1 = 6 - 1 = 5
AlexFokin [52]3 years ago
4 0

Answer:

-1 = -5

0 = -1

2 =  5

Step-by-step explanation:

In order to do this you need to follow these five (5) steps:

1) Know what each of the variables mean in an equation of a line. The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness  of a line and the y-intercept is the point where the line intersects  the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)

2) Identify the m (slope) and the b (y-intercept). The slope is 3, which can also be written as 3/1. The y-intercept is -1. (Remember that subtraction of 1 is the SAME thing as adding -1!) Since the y-intercept is a point it will be plotted at (0, -1).

3) Plot the y-intercept first. Start at the origin (intersection of the x- and y-axes) since the x coordinate is 0. Then move DOWN 1 unit since the y-coordinate is negative.

4) Use the m (slope) to plot at least three new points. The slope can also be represented as "rise/run" or the amount of units that you move UP or DOWN (vertically), then LEFT or RIGHT (horizontally). (Remember: if the numerator is positive (move UP); numerator is negative (move DOWN); denominator is POSITIVE (move RIGHT); denominator is NEGATIVE (move LEFT)). Since our slope is 3/1, and both the numerator and denominator are POSITIVE, that means we will be "rising" (moving UP) 3 units and "running" (moving RIGHT) 1 unit.

Start at the y-intercept  of (0, -1) and move up 3 units and to the right 1 unit. You should be at (1, 2). Plot a point here. Then do it again. You should now be at (2, 5). Plot another point. Now, do it one more time. You should now be at (3, 8). Plot your last point. (If you wish to continue plotting additional points, feel free to do so.)

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Step by step on how to solve this equation 2 x + 3 = x − 4 because I fogot how to do basic math
valentina_108 [34]

Answer:

-7

Step-by-step explanation:

2x +3 =x-4

2x - x =-4 - 7

x=-7

4 0
3 years ago
For the straight line defined by the points (3, 59) and (5, 87), determine the slope and y-intercept. do not round the answers.
Margarita [4]
(3,59)(5,87)
slope = (87 - 59) / (5 - 3) = 28/2 = 14 <== ur slope

y = mx + b
slope(m) = 14
use either of ur points...(3,59)...x = 3 and y = 59
now we sub and find b, the y int
59 = 14(3) + b
59 = 42 + b
59 - 42 = b
17 = b <=== ur y int (0,17)
4 0
3 years ago
Which of the following is not true for the equation y= x+4?
Natalka [10]
The answer is B.
Hope that helped! :)
5 0
3 years ago
Which bottle of water costs more per ounce: a 12
ollegr [7]

Answer:

the second bottle

Step-by-step explanation:

To get the amount it costs per ounce, divide the amount of money by the number of ounces.

A water bottle that costs $1.25 for 12 ounces costs roughly 10 cents per ounce. A water bottle that costs about 9 cents per ounce.

therefore, the 16 ounce bottle is cheaper per ounce

3 0
2 years ago
Find the equation of the line that is parallel to the line y (5,4) -2x +3 and passes through the point (5,4).
Natali5045456 [20]

Answer:

y = -2x + 14

Step-by-step explanation:

Step 1:  Our line is parallel to this line, so it has the same slope, but a different  y-intercept, so set up the equation...

  y = -2x + b      

We are given a  point (x, y) of (5, 4), so plug that in and solve for b.  

 4 = -2(5) + b

    4 = -10 + b      (simplify)

        14 = b      (add 10 to both sides to isolate b)

    So the equation of our line is  y = -2x + 14

5 0
3 years ago
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