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Lesechka [4]
2 years ago
6

Select the equations in point-slope form for the line below (CHOOSE TWO EQUATIONS)

Mathematics
1 answer:
Crank2 years ago
3 0

Answer:

y-3=\frac{4}{3}\left(x-1\right) and y+1=\frac{4}{3}\left(x+2\right)

Step-by-step explanation:

Here is how I found out the answers, i graphed them on Desmos:

y+1=\frac{4}{3}\left(x+2\right)=solid red line

y-3=\frac{4}{3}\left(x-1\right) = dotted black line

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

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At the end of a 10-year loan, $13,570 had been paid in interest. If the initial loan amount was $23,000, find the interest rate
lara31 [8.8K]

Answer:

5.9%

Step-by-step explanation:

6 0
3 years ago
Your DVD membership costs $16 per month for 10 DVD rentals. Each additional DVD rental is $2. a. Write an equation in two variab
Anarel [89]

Answer:

a. C(x) = $16, if 0 ≤ x ≤ 10

   C(x) = 2x - 4 if x > 10

b. Independent: Number of DVD rentals

   Dependent: Monthly cost of rentals

c. $26

Step-by-step explanation:

a. The cost (C) of renting 'x' DVDs is given by:

If 10 ≤ x ≤ 10

C(x) = $16

If  x > 10

C(x) = 16 + 2(x-10)

C(x) = 2x - 4

b. Since the cost depends on the number of DVD rentals, cost is the dependent variable and number of DVD rentals is the independent variable.

c. For x = 15:

C(15) = 2*15 - 4

C(15) = $26

It costs $26 to tent 15 DVDs in one month

5 0
3 years ago
Lorenzo ate 25 of his bag of almonds. His 4 friends ate equal shares of the remaining bag of almonds. Which expression represent
LiRa [457]

Answer:

(x - 25) / 4

Step-by-step explanation:

In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...

(x - 25) / 4

3 0
2 years ago
Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?
maxonik [38]

Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

y=2^x\\\ln(y)=x \ln(2)

Implicitly differentiate the left side and take the derivative of the right side

\frac{y'}{y} =\ln(2)

Multiply both sides by 'y' which was defined as 2^x

y'=\ln(2)*2^x

Plug in x = 2 and x = 3 to see which slope is larger

y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)

4 0
3 years ago
Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.
I am Lyosha [343]
Assume Charles charges $7*3=$21 if he babysits for 2,5 hours (that is 2 and a half hours).

That is we are not considering Charles babysitting exactly 1, 2, 3 or 4 hours, but also in between times.


then we can write the following piecewise function to describe the situation:


f is a function from (0, 4] to {$7, $14, $21, $28}

f(x)=\begin{cases} 
      \$7 & if \enspace \enspace x\leq 1 \\
      \$14 & if \enspace \enspace 1\ \textless \  x\leq 2 \\
      \$21 & if \enspace\enspace 2\ \textless \ x\leq 3 \\
      \$28 & if \enspace\enspace 3\ \textless \ x\leq 4 \
   \end{cases}
6 0
3 years ago
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