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3 years ago

Which shows the equation of the line using function notation?

Mathematics

1 answer:

meriva3 years ago

8 0

In function notation (f(x)=mx+b) m represents the slope and b represents the y-intercept.

In a straight horizontal line the slope is always 0. This cancels out the 'x' factor so you get f(x)=b.

To find b you simply look at where the line crosses the y-axis. in this case it crosses at 2.

When you plug in the y-intercept you get f(x)=2

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Greg chose C as the answer. How might he have gotten that answer?

Katyanochek1 [597]

Given:

The equation is

$-0.4x+0.05y-1.25=0$

Where, y is the total cost and x is the number of months.

To find:

The y-intercept of the line represented by this equation.

Solution:

We have,

$-0.4x+0.05y-1.25=0$

Isolate y variable.

$0.05y=0.4x+1.25$

Divide both sides by 0.05.

$y=\dfrac{0.4x+1.25}{0.05}$

$y=\dfrac{0.4x}{0.05}+\dfrac{1.25}{0.05}$

$y=8x+25$

Putting x=0, we get

$y=8(0)+25$

$y=0+25$

$y=25$

Therefore, the y-intercept of the given equation is 25 and the correct option is D.

7 0

3 years ago

Madelyn just graduated from college and owes $15,100 on her student loans. The bank charges a monthly interest rate of 0.2%. If

Dimas [21]

Answer:

$121

Step-by-step explanation:

A suitable calculator or spreadsheet can tell you the payment amount for the given loan values. The annual interest rate will be 12 times the monthly, rate, or 2.4%. The number of monthly payments in 12 years is 12×12 = 144.

A calculator shows the monthly payment will be about $121.

If you want to figure this "by hand," the amortization formula is used.

A = Pr/(1 -(1+r)^-t)

where P is the loan amount, r is the monthly interest rate, and t is the number of months.

A = 15100(0.002)/(1 -(1.002^-144)) ≈ 120.789 ≈ 121

The monthly payment would be $121.

7 0

3 years ago

Is this right and what's the answer for number 3?

Mumz [18]

That looks great! But say you chose number 2. You could say you organized it by multiplying single packs by the pieces of packs.

7 0

3 years ago

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Explain how you know whether to add or subtract when you use the Distributive Property to multiply.

gulaghasi [49]

You add or subtract depending on the equasion. if you give me an example then I can show you but it greatly has to do with the equsion.

3 0

3 years ago

What is the radical expression that is equivalent to the expression 27 1/5? Enter your answer as a radical. For example, if your

yuradex [85]

Answer:

$27^{\frac{1}{5} }=\sqrt[5]{3^3}$

Step-by-step explanation:

we are given

$27^{\frac{1}{5} }$

we can use rule to change exponent into radical

$\sqrt[n]{a} =a^{\frac{1}{n} }$

so, we can write as

$27^{\frac{1}{5}}=(3\times 3\times 3)^{\frac{1}{5}}$

$27^{\frac{1}{5}}=(3^3)^{\frac{1}{5}}$

now, we can use rule

and we can write our term as

$27^{\frac{1}{5} }=\sqrt[5]{3^3}$

5 0

3 years ago

Read 2 more answers