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SVETLANKA909090 [29]
3 years ago
7

A certain brand of golf balls comes in packs of 24. Each pack has three yellow golf balls in it. Willam orders 360 golf balls on

line.
How many of those golf balls will be yellow?
Mathematics
2 answers:
pentagon [3]3 years ago
7 0
So first divide 360 from 24 which is 15 then multiply 15 times 3 which is 45
iogann1982 [59]3 years ago
3 0

Start by taking the total number of golf balls, 360, and dividing it by how many golf balls come in each pack, to find the number of packs.


360 ÷ 24 = 15


So there are 15 packs, each with 3 yellow golf balls.


15 · 3 = 45


Meaning 45 of the golf balls would be yellow



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Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

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h=-16t^2+672t

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It is a downward parabola. so the maximum height of the function is on its vertex.

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x=\frac{b}{2a}

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(6)

The given equation is,

f(x)=3x^3-12x^2-15x

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Use factoring method to find the factors of the equation.

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Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

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