Multiple Choice 2. Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points. The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points resemble a layout similar to a checkmark with the first point located slightly higher than the second point. The second, third, and fourth points follow a linear pattern with a positive slope.
A.
Time (s) Height (m)
1

5

2

10

3

15

4

20

B.
Time (s) Height (m)
1

2

2

3

3

5

4

9

C.
Time (s) Height (m)
1

4

2

3

3

5

4

7
Multiple Choice

Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points. The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points start in the lower left corner of the first quadrant and follow a linear pattern with a positive slope.

A.
Time (s) Height (m)
1

5

2

10

3

15

4

20

B.
Time (s) Height (m)
1

2

2

3

3

5

4

9

C.
Time (s) Height (m)
1

4

2

3

3

5

4

7

100 POINTS FOR ANSWERS AND EXPLANATION! PLS I NEED HELP ASAP! Thanks!

Step-by-step explanation:

Question 2's key is "The four points resemble a layout similar to a checkmark with the first point located slightly higher than the second point."

The only choice with Height higher at Time = 1 than Time = 2 is C.

The second question's key is "The four points start in the lower left corner of the first quadrant and follow a linear pattern with a positive slope."

The only choice that matches the linear pattern with positive slope is A.

Step-by-step explanation:

Choice A: t=1, h=5; t=2, h=10

Choice B: t=1, h=2; t=2, h=3

Choice C: t=1, h=4; t=2, h=3

ans is C as it fits the descriptions

Choice A: t=1, h=5; t=2, h=10; t=3, h=15

Choice B: t=1, h=2; t=2, h=3; t=3, h=5  <== non-linear

Choice C: t=1, h=4; t=2, h=3; t=3, h=5 <== non-linear

ans is A as it fits the descriptions

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

step-by-step explanation: