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Marrrta [24]
3 years ago
11

Wrestling coach is entering his team in a tournament there is a $75 fee for each team entered plus a five dollar fee for each wr

estler entered The total cost 1013 in a wrestling tournament can be represented by the equation F=5w+75 where f is the total fee and w is the number of wrestlers entered
Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer:

188 wrestlers

Step-by-step explanation:

Given

F =5w + 75

F = 1013

Required

Determine the number of wrestlers (w)

We have:

F =5w + 75

Substitute: F = 1013

1013 = 5w + 75

Collect like terms

5w = 1013 - 75

5w = 938

Divide both sides by 5

w = 187.6

Round up to get the number of wrestlers

w = 188

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Answer:

5/36

Step-by-step explanation:

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A quadratic function is defined by
ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

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Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

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3 years ago
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used m
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Please help me with this
GREYUIT [131]

Ths phrase that represents the algebraic expression (3p + 6)/(7p - 9) will be D. the sum of three times a number and six divided by the difference of seven times the number and nine.

<h3>How to illustrate the algebra?</h3>

It should be noted that an algebra is simply used to show the relationship between variables.

Here, the phrase that represents the algebraic expression (3p + 6)/(7p - 9) will be the sum of three times a number and six divided by the difference of seven times the number and nine.

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