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kramer
3 years ago
12

the total cost after tax to repair Kimber’s cracked phone is represented by 00.4(30h)+30h Where h represents the number of hours

it takes to repair Kimber’s phone what part of the expression represents the amount of tax she must pay. Make sure you answer is a complete sentence
Mathematics
1 answer:
Serjik [45]3 years ago
7 0

we have that

the total cost is

0.040(30h)+30h

In this equation  the term 30h represent the cost due to h hours at at unit of 30

and the term 0.040(30h) is equal to calculate the 4% of (30h)

so

in this problem the tax rate is equal to 4%

therefore

<u>the answer is</u>

The term 0.040(30h) represents the amount of tax she must pay

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Answer:

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Step-by-step explanation:

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Hey there!

<u>Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0</u>

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<em><u>Quadratic</u></em><em><u> </u></em><em><u>formula </u></em><em><u>:</u></em><em><u> </u></em>ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions <em>(roots)</em> is determined by the discriminant (b² - 4ac) :

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The <em><u>roots</u></em> of the equation are determined by the following calculation:

x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4ac } }{2a}

Here, we have :

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b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) <u>Calculate </u><u>the </u><u>roots </u><u>of </u><u>the </u><u>equation</u><u>:</u>

▪️ (1)

x_1 =  \frac{ - b -  \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\ x_1 =  \frac{ - 2 -  \sqrt{36} }{2(1) }  \\  \\ x_1 =  \frac{ - 2 - 6}{2}   \\ \\ x_1 =  \frac{ - 8}{2}  \\  \\ \blue{\boxed{\red{x_1 = -4}}}

▪️ (2)

x_2 =  \frac{ - b  +   \sqrt{ {b}^{2} - 4ac } }{2a}  \\  \\ x_2 =  \frac{ - 2 +  \sqrt{36} }{2(1)}  \\  \\ x_2 =  \frac{ - 2 + 6}{2}  \\  \\ x_2 =  \frac{4}{2}  \\  \\ \red{\boxed{\blue{x_2 = 2}}}

>> Therefore, your answers are x = -4 or x = 2.

Learn more about <u>quadratic equations</u>:

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