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yarga [219]
3 years ago
5

John shot a toy rocket into the air. Consider the graph below which shows the relationship between the height of the rocket from

ground level and the time elapsed.
Which statement best interprets information provided by the graph?

A. The height of the rocket changes at a constant rate for the entire time.
B. The height of the rocket increases for some time and then decreases for some time.
C. The height of the rocket remains constant for some time.
D. The height of the rocket decreases for some time and then increases for some time.

Mathematics
1 answer:
EleoNora [17]3 years ago
5 0
<h2>The height of the rocket increases for some time and then decreases for some time.</h2>

The height from the ground increases from 4 to 26, then decreases from 26 to 0.

Why the others are wrong.

A. The height of the rocket changes at a constant rate for the entire time.

The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.

C. The height of the rocket remains constant for some time.

The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.

D. The height of the rocket decreases for some time and then increases for some time.

This implies the graph decreases first then increases. However, the rocket will increase, then decrease.

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What is the equation of a parabola if the vertex is (1, 4) and the directrix is located at y = 7?
Oksana_A [137]

According to the vertex and the directrix of the given parabola, the equation is:

y = \frac{3}{4}(x - 1)^2 + 4

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

The directrix is at y = k + 4a.

In this problem, the vertex is (1,4), hence:

h = 1, k = 4

The directrix is at y = 7, hence:

4 + 4a = 7

a = \frac{3}{4}

Hence, the equation is:

y = a(x - h)^2 + k

y = \frac{3}{4}(x - 1)^2 + 4

More can be learned about the equation of a parabola at brainly.com/question/26144898

4 0
2 years ago
Lan Ventor designs a new board game and offers the design to Paddington Games p.l.c.
Andrej [43]

In order to make the offer attractive such that it would earn £25,000 for Ian Vector, Paddington Games would have to sell 460 games.

The game can be sold for £25,000 or for £2,000 and then a fee of £50 for every game sold.

In order for the amount to be the same, the amount from games sold will have to equal the difference between the £25,000 and the £2,000.

Difference is:

= 25,000 - 2,000

= £23,000

The <u>number of games to be sold</u> is:

= Difference / Amount per game

= 23,000 / 50

= 460 games

In conclusion, 460 games need to be sold to make the offer attractive.

<em>Find out more at brainly.com/question/2865277.</em>

5 0
1 year ago
True or False: A relation passing the horizontal line test is a function.
rosijanka [135]

Answer:

True.

Step-by-step explanation:

Remember that the horizontal line test checks if a function is one-to-one. If a horizontal line passes through a graph more than once, the function has more than one x-value for at least one y-value.

7 0
3 years ago
Find the least common multiple of x2 – 8x + 12 and x2 – x – 2.
abruzzese [7]
<span>The least common multiple of x² – 8x + 12 and x² – x – 2.

by factoring:
∴ </span><span>x² – 8x + 12 = (x-2)(x-6)

       </span><span>x² – x – 2 = (x-2)(x+1)

note: the factor (x-2) is common between them take it one time

∴ LCM = (x-2)(x-6)(x+1)
</span>
6 0
3 years ago
Read 2 more answers
Midpoint of the line segment (-1,6), (-6,5)
zepelin [54]
The answer is:

(-7/2 , 11/2)

5 0
2 years ago
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