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jonny [76]
3 years ago
5

Lisa lit a candle with a height of 8 inches. When lit, this candle loses 10% of its original

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

  • 1.25 hours or 1 hour and 15 minutes

Step-by-step explanation:

<em>Question</em>

  • <em>Lisa lit a candle with a height of 8 inches. When lit, this candle loses 10% of its original  height every hour. </em>
  • <em>Please complete the following sentence by writing the number in the blank.   Until the candle has been burning for at least _______ hours, the height of Jennifer's candle will be more than 7 inches.</em>

<u>Candle looses 10% of 8 inches, it equals:</u>

  • 8*0.1 = 0.8 inches an hour

<u>Let x be required time, then:</u>

  • 8 - 0.8x > 7
  • 0.8x <  8 - 7
  • 0.8x  < 1
  • x  < 1/0.8
  • x  <  1.25
  • or 1 hour 15 minutes
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Step-by-step explanation:

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<em>Comment on horizontal scaling</em>

Horizontal scaling is different from vertical scaling in that using k·x in place of x <em>compresses</em> the graph horizontally by a factor of k. On the other hand, using k·f(x) in place of f(x) <em>expands</em> the graph vertically by a factor of k.

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3 years ago
The discount on a toy is 40% the toy robot is on sale for $54 find the original price
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Step-by-step explanation:

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In the isosceles triangle ABC, we have AB=AC=4. The altitude from B meets AC at H. If AH=3(HC) then determine BC.
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Answer:

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Step-by-step explanation:

AC=4

AC=AH+HC

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3 years ago
What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

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

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

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x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
3 years ago
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