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Leya [2.2K]
4 years ago
10

|4v-16|=12 solve for v

Mathematics
1 answer:
algol134 years ago
3 0
4v-16= 12
4v= 28
v=7

4v-16=-12
4v=4
v=1

Final answer: v=1, v=7
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Compare the two functions to see which has a greater rate of change. Function 1
AleksAgata [21]

Function 2 has greater rate of change

Step-by-step explanation:

In order to find the rate of change we have to covert the given linear functions in slope-intercept form

<u>Function 1:</u>

<u></u>-2x+5y = 10<u></u>

Adding 2x on both sides

<u></u>-2x+5y+2x = 2x+10\\5y = 2x+10<u></u>

Dividing both sides by 5

<u></u>\frac{5y}{5} = \frac{2x+10}{5}\\y = \frac{2}{5}x +\frac{10}{5}\\y = \frac{2}{5}x+2<u></u>

Let m1 be rate of change of function 1:

<u></u>m_1 = \frac{2}{5}<u></u>

<u></u>

<u>Function 2:</u>

<u></u>-6x+3y = 18<u></u>

Adding 6x on both sides

<u></u>-6x+3y+6x = 6x+18\\3y = 6x+18<u></u>

Dividing both sides by 3

<u></u>\frac{3y}{3} = \frac{6x+18}{3}\\y = \frac{6x}{3} + \frac{18}{3}\\y= 2x+6<u></u>

Let m2 be the slope of function 2

<u></u>m_2 = 2<u></u>

As we can see that

<u></u>m_2>m_1<u></u>

Function 2 has greater rate of change

Keywords: Linear functions, slope

Learn more about functions at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

7 0
3 years ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
kolbaska11 [484]

If the height of candle after 10 and 26 hours are 25 cm and 17 cm then the height of candle after 21 hours is 19.5 cm.

Given height of candle after 10 hours is 25 cm , height of candle after 26 hours is 17 cm.

We have to find the height of candle after 21 hours.

We have been given two points of linear function (10,25),(26,17).

We have to first form an equation which shows the height of candle after x hours.

let the hours be x and the height be y.

Equation from two points will be as under:

(y-y_{1} )=(y_{2} -y_{1} )/(x_{2} -x_{1} )*(x- x_{1} )

(y-25)=(17-25)/(26-10)* (x-10)

y-25=-8/16 *(x-10)

16(y-25)=-8(x-10)

16y-400=-8x+80

8x+16y=480

Now we have to put x=21 to find the height of candle after 21 years.

8*21+16y=480

168+16y=480

16y=480-168

16y=312

y=312/16

y=19.5

Hence the height of candle after 21 hours is 19.5 cm.

Learn more about equation at brainly.com/question/2972832

#SPJ4

6 0
2 years ago
Evaluate the expression 2(x-5) - 3(x-6)
Nataly_w [17]

Answer:

−x+8

Step-by-step explanation:

Hope this helps :)

8 0
3 years ago
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Bright and Ernest saved money in the ratio 3:5if Ernest saved $10 how much did bright save​
hammer [34]

Answer:

Bright saved 6 dollars.

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3 years ago
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Y equals twenty nine over five x
mote1985 [20]

Answer:

y=29/4x

Step-by-step explanation:

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3 years ago
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