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anastassius [24]
3 years ago
5

Please help me solve this short problem guys

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

Step-by-step explanation:

Given equation of the quadratic function is,

y = x² + 5x - 7

Convert this equation into vertex form,

y = x² + 2(2.5x) - 7

  = x² + 2(2.5x) + (2.5)² - (2.5)² - 7

  = (x + 2.5)²- 6.25 - 7

  = (x + 2.5)² - 13.25

Therefore, vertex of the function is → (-2.5, -13.25)

For the solutions,

y = 0

(x + 2.5)² - 13.25 = 0

x = (±√13.25) - 2.5

x = (±3.64) - 2.5

x = 1.14, -6.14

Solutions → (-6.14, 0) and (1.14, 0)

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Brett is joining a new gym. He can join Power Plus or Heavy Hulk. At Power Plus, it will cost $34.14 per month, plus a sign-up f
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After 19 months, the cost will be same for both memberships.

Step-by-step explanation:

Given,

Sign up fee at Power Plus = $22.00

Per month fee = $34.14

Let,

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P(x) = 34.14x + 22

Sign up fee at Heavy Hulk = $34.50

As they have cut the cost into half.

Sign up fee = \frac{34.50}{2}=\$17.25

Per month fee = $34.39

H(x) = 34.39 + 17.25

For same cost ;

P(x) = H(x)

34.14x+22=34.39x+17.25\\22-17.25=34.39x-34.14x\\4.75= 0.25x\\0.25x=4.75\\

Dividing both sides by 0.25

\frac{0.25x}{0.25x}=\frac{4.75}{0.25}\\x=19

After 19 months, the cost will be same for both memberships.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/12860445
  • brainly.com/question/12860486

#LearnwithBrainly

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3 years ago
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ipn [44]
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2 years ago
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Step-by-step explanation:

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3 years ago
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Solve the equation for x: 1/4x=7
g100num [7]

Answer:

x = 28

Step-by-step explanation:

1/4x = 7

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4 0
3 years ago
Candy bars are sold in a local store for 60 calends each. The factory has $1000 in fixed costs plus 10 cents of additional expen
ira [324]

Given:

Candy bars are sold in a local store for 60 cents each. The factory has $1000 in fixed costs plus 10 cents of additional expense for each candy bar made.

To Find:

The break-even point.

Answer:

2000 candy bars have to be sold to break even.

Step-by-step explanation:

Let the break-even point be x candy bars. That is, the manufacturing cost to make x candy bars equals the money made by selling x candy bars (we see there is no profit, no loss. Simply, the cost price equals selling price).

The factory has to spend $1000 in fixed costs plus 10 cents for each candy bar as an additional expense.

As each dollar equals 100 cents, $1000 = 100000 cents, which is the fixed cost.

Also, for making x candy bars, the additional expense for the factory would be equal to 10x.

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Now, each candy bar is sold for 60 cents each. So the total selling price would be 60x.

As we have assumed x to be the break-even point, the cost of manufacturing will equal the selling price.

So,

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Thus, 2000 candy bars have to be sold to break even.

3 0
4 years ago
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