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horsena [70]
3 years ago
5

Find the inverse of y=5x+3

Mathematics
1 answer:
seraphim [82]3 years ago
5 0

Answer:

f^{-1}(x) = \frac{x-3}{5}

Step-by-step explanation:

Rearrange the equation making x the subject

y = 5x + 3 ( subtract 3 from both sides )

y - 3 = 5x ( divide both sides by 5 )

\frac{y-3}{5} = x

Change y to x then

f^{-1}(x) = \frac{x-3}{5}

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Mark is taking pledges for bike-a-thon fundraiser. John pledged $2.00, plus $1.75 for each mile Mark bikes. Kiara pledged $5.25,
Shkiper50 [21]

Answer:

The equation for the amount of dollars pledged in total is f(M) = 2.00M + 7.25, and the amount for just Kiara is f(M) = 0.25M + 5.25

Step-by-step explanation:

The amount they pledge up front is a constant and therefore need to be added to the end of the equation. The amount per mile should be a variable amount. This gets multiplied by the M variable. So we start with the Kiara amount.

0.25 per mile = 0.25M

5.25 pledged = 5.25

Now put them together to get f(M) = 0.25M + 5.25

Do the same with Mark.

1.75 per mile = 1.75M

2.00 pledged = 2.00

Now put them together to get f(M) = 1.75M + 2.00

To get the final total, we add both equations together.

f(M) =  0.25M + 5.25 + 1.75M + 2.00

f(M) = 2.00M + 7.25

4 0
4 years ago
-1(x+5)=3[x+(2x-1)]<br> solved and justified each step
madreJ [45]

Answer:

<h2>x = -0.2</h2>

Step-by-step explanation:

-1(x+5)=3[x+2x-1)]\\\\\text{for}\ -1(x+5):\ \text{distribtutive property}\\\text{for}\ [x+(2x-1)]:\ \text{associative property}\\\\(-1)(x)+(-1)(5)=3[(x+2x)-1]\\-x-5=3(3x-1)\\\\\text{for}\ 3(3x-1):\ \text{distributive property}\\\\-x-5=(3)(3x)+(3)(-1)\\-x-5=9x-3\\\\\text{for the equation}:\ \text{addition property of equality}\\\\-x-5=9x-3\qquad\text{add 5 to both sides}\\-x-5+5=9x-3+5\\-x=9x+2\\\\\text{for the equation:}\ \text{subtraction property of equality}\\\\-x=9x+2\qquad\text{subtract}\ 9x\ \text{from both sides}

-x-9x=9x-9x+2\\-10x=2\\\\\text{for the equation:}\ \text{division property of equality}\\\\-10x=2\qquad\text{divide both sides by -10}\\\dfrac{-10x}{-10}=\dfrac{2}{-10}\\x=-0.2

\text{Distributive property:}\ a(b+c)=ab+ac\\\text{Associative property:}\ (a+b)+c=a+(b+c)

6 0
3 years ago
At a football game Jasmine bought a soft pretzel for $2.25 in a bottle of water for $1.50 she paid with a $5 bill how much thing
andrew11 [14]

Answer:

$1.25.

Step-by-step explanation:    

We have been given that at a football game Jasmine bought a soft pretzel for $2.25 in a bottle of water for $1.50 she paid with a $5 bill.

First of all let us find how much Jasmine spent on soft pretzel and water bottle by adding the cost of both items.

\text{Total amount spent on both items}=2.25+1.50

\text{Total amount spent on both items}=3.75

To find the amount that Jasmine will get as a change we will subtract the amount spent on both items from 5.

\text{Amount of change that Jasmine will get}=5-3.75

\text{Amount of change that Jasmine will get}=1.25

Therefore, Jasmine will get $1.25 back as change.

3 0
3 years ago
In circle Y, what is m &lt;1?<br> 37<br> 06<br> 0 25°<br> O 31°<br> 0 37°
jekas [21]

Answer:

∠1=a+b/2

∠1=37+25/2

∠1=31

Answer: C) 31

-------------------------

Hope it helps...

Have a great day!!!

8 0
3 years ago
What is the solution to 5 | x + 2 | - 6 = 9?<br>​
Yuki888 [10]

Answer:

1,-5

Step-by-step explanation:

8 0
3 years ago
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