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Brrunno [24]
2 years ago
14

Ms. Ford is buying bundles of virgin hair from She’s Happy Hair that costs $75 per bundle, but $42.50 for shipping. If Ms. Ford

spent $567.50 total, how many bundles of virgin hair did she buy?
Mathematics
1 answer:
Pani-rosa [81]2 years ago
3 0

Answer: 7 bundles.

Step-by-step explanation:

The cost per bundle is $75.

The cost for shipping is $42.50

She spent $567.50 in total.

The shipping is paid only one time, as all the bundles can be packaged togheter.

Then after paying the shipping, the left spent is:

$567.50 - $42.50 = $525

And each bundle costs $75, then the number of bundles that she bought will be equal to the number of times that we have $75 in $525. This is equal to the quotient between $525 and $75.

N = $525/$75 = 7

She bought 7 bundles

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Answer:

\textsf{$y = 2x^2 - 17x + 30$: \quad $\left(-\infty, \dfrac{5}{2}\right) \cup (6, \infty)$}

\textsf{$y = - x^2 - 6x - 8$: \quad $\left(-\infty, -4\right) \cup (-2, \infty)$}

Step-by-step explanation:

A function is positive when it is <u>above the x-axis</u>, and negative when it is <u>below the x-axis</u>.

---------------------------------------------------------------------------------

<u>Given quadratic equation</u>:

y = 2x^2 - 17x + 30

Factor the equation:

\implies y = 2x^2 - 17x + 30

\implies y = 2x^2 - 5x-12x + 30

\implies y=x(2x-5)-6(2x-5)

\implies y=(x-6)(2x-5)

The x-intercepts of the parabola are when y = 0.

To find the <u>x-intercepts</u>, set each factor equal to zero and solve for x:

\implies x-6=0 \implies x=6

\implies 2x-5=0 \implies x=\dfrac{5}{2}

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---------------------------------------------------------------------------------

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