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Ymorist [56]
3 years ago
11

H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ ​ 8+6x x+4 10 ​ 4x−3 ​ , , , ​ x<−7 −7≤x<−5 x≥−5 ​

Mathematics
1 answer:
motikmotik3 years ago
4 0

Answer:

h(-6) = -\frac{1}{5}

Step-by-step explanation:

Given

h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x

Required

Determine h(-6)

To do this, we make use of:

h(x) = \frac{x + 4}{10}

Because -7 \le -6

So, we have:

h(x) = \frac{x + 4}{10}

h(-6) = \frac{-6 + 4}{10}

h(-6) = \frac{-2}{10}

Simplify

h(-6) = -\frac{1}{5}

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Anna paid € 2800 for a dress. Payment was made after the price of the dress was reduced by 30%. What was the starting price?​
aliina [53]

Answer:

$4000

Step-by-step explanation:

so $2800 was the starting price

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So 2800=70%

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5 0
2 years ago
Tony took a math quiz last week. There were 80 problems on the quiz and Tony answered 70% of them correctly. How many problems d
Nutka1998 [239]

Answer:

56 problems

Step-by-step explanation:

So we already know that the answer is: 56. However, a good help is knowing how to obtain this answer from the data provided.

Tony's quiz had 80 questions

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We can always write a percentage amount as a ratio by dividing the amount by 100.

70\% = \frac{70}{100} = 0.7.

This means that for every 100 questions, tony will respond correctly 70.

So, if Toni did a questionnaire of n questions, the amount that will answer correctly is calculated by the following expression:

C = n*\frac{70}{100}

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7 0
3 years ago
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How would you write a phrase that represents the expression 7(n - 12)?
NemiM [27]
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7 0
3 years ago
What’s the volume of a cylinder with a radius of 6ft and height of 14ft? pls show work
Daniel [21]

Answer:

<em><u>Given </u></em><em><u>-</u></em>

  • <em><u>radius </u></em><em><u>of </u></em><em><u>cylinder </u></em><em><u>=</u></em><em><u> </u></em><em><u>6</u></em><em><u> </u></em><em><u>ft</u></em>
  • <em><u>height </u></em><em><u>of </u></em><em><u>cylinder </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>4</u></em><em><u> </u></em><em><u>ft</u></em>

Now ,

volume = \pi \: r {}^{2} h \\  =  >  \frac{22}{\cancel{7}}  \times 6 \times\cancel{ 14} \\  \\  =  > 22 \times 6 \times 2 \\  =  > 264 \: ft {}^{3}

hope helpful~

5 0
2 years ago
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