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Harman [31]
3 years ago
9

A golf ball is hit in not the air represented by the equation y= -3x^2+18x+45. The maximum height the ball will reach is____ fee

t
Mathematics
1 answer:
Temka [501]3 years ago
3 0

Answer:

72 ft

Step-by-step explanation:

Here, we want to get the maximum height the ball will reach

the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation

So we need firstly, the vertex of the given quadratic equation

The vertex can be obtained by the use of plot of the graph

By doing this, we have it that the vertex is at the point (3,72)

Thus, we can conclude that the maximum height the ball can reach is 72 ft

You might be interested in
A man is sixteen years older than his father, if the total age is 57. How old is the son and the father?​
Alex Ar [27]

Answer:

The son is 20 and a half years old.

The father is 36 and a half years old.

Step-by-step explanation:

We can solve this easily by turning it into an equation.

Let the mans age be y and the fathers age be x.

y+x=57

x=y+16

We can use the substitution method to solve for the first equation.

y+(y+16)=57

Now we only have one variable to solve for. Add like terms.

2y+16=57

Subtract 16 on both sides.

2y=41

Divide both sides by 2 to isolate y.

y=20.5

Now substitute 20.5 for y to solve for x.

20.5+x=57

Subtract 20.5 from both sides.

x=36.5

<em>The son is 20 and a half years old.</em>

<em>The father is 36 and a half years old.</em>

Hope this helps!

8 0
3 years ago
C) The ratio between an exterior angle and an interior angle of a polygon is 1:5.
Bingel [31]

Answer:

30° and 12

Step-by-step explanation:

The sum of the exterior angle and the interior angle = 180°

sum the parts of the ratio, 1 + 5 = 6 parts

Divide 180° by 6 to find the value of one part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio

(i)

The exterior angle = 30°

(ii)

The sum of the exterior angles of a polygon is 360°

To find the number of sides n divide 360 by 30 , that is

n = 360 ÷ 30 = 12

5 0
3 years ago
Ms.Gonzalez ordered prizes for her science classes. On Friday, Ms. Gonzalez had received 6 times as many prizes as she got on We
arsen [322]
I think Ms.Gonzalez got 217 prizes on Wednesday.All you had to do was divide 1,307 by 6.
4 0
3 years ago
eryn and seven of her freinds go out to lunch the bill comes out 143.35 and they leave a 15% tip how much does each freind contr
babunello [35]

Answer:

$ 23.55

Step-by-step explanation:

143.35*.15=21.5025 + 143.35 = $164.8525/7 = $ 23.5503571429

7 0
3 years ago
When x is divided by 5 the remainder is 4 and when x is divided by 9 the remainder is 0 what is x?
Marrrta [24]
The number could be any multiple of nine that ends in 4 or 9, like 9, 54, 99, 144, etc.
5 0
3 years ago
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