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Hunter-Best [27]
3 years ago
15

Find the excluded value Excluded Value: ___ and ___

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer:

Excluded Value :  <u>7</u>  and  <u>2</u>  

Step-by-step explanation:

hello :

the excluded value when : x²-9x+14=0

means : (x-2)(x-7)=0         x-2=0  or x-7=0      so : x=2 or x=7

Excluded Value :  <u>7</u>  and  <u>2</u>  

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
natka813 [3]

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)

m=\frac{17.5-24.5}{23-9}

m=-0.5

\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b

y=\left(-0.5\right)x+b

\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5

24.5=\left(-0.5\right)\cdot \:9+b

24.5=\left(-0.5\right)\cdot \:9+b

-4.5+b=24.5

b=29

\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29

y=-0.5x+29

Now plug in x=21, we get

y=-0.5*21+29=18.5

Thus the height of the candle after 21 hours is 18.5 centimeters.

7 0
3 years ago
Miriam has 2 yellow tea cups and 5 brown teacups. Which ratio compares the number of brown tea cups to the total number of teacu
pashok25 [27]

The answer is 5:2 ration, it's already fully simplified

6 0
2 years ago
What is the slope of the line that passes through the following points (7,10) and (10,9)
Svet_ta [14]

Answer:

-1/3

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 9-10)/(10-7)

    = -1/3

8 0
3 years ago
Read 2 more answers
After going through all of your expenses for the month, you can up with the expression -2(x+3) – 5(2x – 7). Simplify the express
svlad2 [7]

Answer:

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Step-by-step explanation:

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= -2x-10x-6+35

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7 0
3 years ago
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What’s the answer to this math problem?v
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It’s A or D but I have a strong feelin it’s A
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