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3 years ago

Find the inverse of f(x)= 5x-2

Mathematics

1 answer:

scZoUnD [109]3 years ago

5 0

Find the function by taking the integral of the derivative.

F(x)=52x2−2x+C

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Determine the equation of the line that goes through points (1.1) and (3.7).

ValentinkaMS [17]

Answer:

The equation of the line that goes through points (1,1) and (3,7) is $\mathbf{y=3x-2}$

Step-by-step explanation:

Determine the equation of the line that goes through points (1,1) and (3,7)

We can write the equation of line in slope-intercept form $y=mx+b$ where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=1, y_1=1, x_2=3, y_2=7$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-1}{3-1}\\Slope=\frac{6}{2}\\Slope=3$

We get Slope = 3

Finding y-intercept

y-intercept can be found using point (1,1) and slope m = 3

$y=mx+b\\1=3(1)+b\\1=3+b\\b=1-3\\b=-2$

We get y-intercept b = -2

So, equation of line having slope m=3 and y-intercept b = -2 is:

$y=mx+b\\y=3x-2$

The equation of the line that goes through points (1,1) and (3,7) is $\mathbf{y=3x-2}$

4 0

3 years ago

Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m

docker41 [41]

Hi There!

Dori leaves her house at 12pm.

50 steps per minute until 12:20pm.

Dori has a 20 minute advantage over Malory, find the amount of steps she is ahead by,

12 - 12:20pm. steps = 20 minutes = 20 x 50 = 1000 steps

Malory leaves her house at 12:20pm.

Walks 90 steps per minute.

12:20 - 12:30 pm. = 10 minutes = 10 x 90 = 900

Dori 12:20 - 12:30pm. = 10 minutes = 10 x 50 = 500

500 + 1000 = 1500

Mallory 12:30 - 12:40 = 10 minutes = 10 x 90 = 900

900 + 900 = 1800

Dori 12:30 - 12:45pm. = 15 minutes = 15 x 50 = 500

1750 + 500 = 2250

Mallory 12:40 - 12:45pm. = 5 minutes = 10 x 90 = 900

450 + 1800 = 2250

Answer: they have the same number steps at 12:45 p.m.

Hope This Helps :)

3 0

3 years ago

Angad rolls a fair dice 120 times.<br> How many times would Angad expect to roll an even number?

Luda [366]

Answer:

60 times

Step-by-step explanation:

Since each roll has a 50% chance of rolling an even number

50% of 120 is 60

4 0

3 years ago

A company manufactures handband a wirleless

PIT_PIT [208]

Answer:

1. 21 represents the cost of manufacturing one handband.

3. The initial start up cost is $15000.

5. The company spends $57000 to manufacture 2000 handbands.

Step-by-step explanation:

We are given the cost function for manufacturing 'h' amount of handbands and it is provided that there was initial start up costs involved.

Now, as the cost function is given by, C(h) = 21h + 15000.

We can see that the initial start up cost is $15000.

As, 'h' is the number of handbands being made. So, 21h in C(h) is the cost of manufacturing 'h' handbands.

Therefore, 21 is the cost of manufacturing one handband.

Since, C(h) = 21h + 15000.

Substituting h = 2000, we get,

C(2000) = 21×2000 + 15000.

i.e. C(2000) = 42000 + 15000.

i.e. C(2000) = 57000.

The company spends $57000 to manufacture 2000 handbands.

Since, we are provided with only cost function, we can not talk about the profit.

Hence, option 1, 3 and 5 are correct.

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7 0

3 years ago

Y-4=-3(x+5)<br> Which graph represents this solution

Studentka2010 [4]

Hope this will help

4 0

3 years ago