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2 years ago

Create a table for the equation with a y-intercept of 15 and a slope of -5. What is the output when x is -10?

Mathematics

1 answer:

Verizon [17]2 years ago

6 0

Answer:

The output is 65 when x is -10.

Step-by-step explanation:

y=mx+b is the easiest form to understand visually what the slope and intercept is.

m is the slope and b is the y-intercept. Replace both of these variables respectively with their appropriate values. In this case, the slope (m) is -5 and y-intercept is 15.

Equation looks like this: y=-5x+15

What is the output when x is -10? Replace x with 10, and your output is the y value.

$y=-5(-10)+15\\y=50+15\\y=65$

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Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x.

poizon [28]

Answer:

First step=13x+7x=18+42

Step-by-step explanation:

13x-42=18-7x

First step

It is to collect like terms of the equation

13x+7x=18+42

20x=60

x=60/20

x=3

3 0

4 years ago

The sum of a number and 3 times its reciprocal is -4.Find the number

Butoxors [25]

Answer:

x = -1 or x = -3

Step-by-step explanation:

x + 3/x = -4

x² + 3 = -4x

x² + 4x + 3 = 0

(x + 1) (x + 3) = 0

x = -1 or x = -3

check: (-1) + (3/-1) = -1 - 3 = -4

(-3) + (3/(-3)) = -3 -1 = 14

6 0

3 years ago

What percent of 300 is 67?

Sav [38]

The answer would be 22.33 hope this helped

3 0

3 years ago

Read 2 more answers

The speedometer in Kevin's car reads in both miles/hour and kilometers/hour. What information is needed to convert between these

Akimi4 [234]

Answer:

a) the number of miles in 1 kilometer

Step-by-step explanation:

The car converts from miles/hour to kilometers/hour, if we see the time measurement (hours) it stays the same in both units.

So to make the conversion<u> it is enough to know how many miles are in one kilometer.</u>

For example, lets convert 10miles/hour to kilometers/hour.

there are 0.621371 miles in 1 kilometer, so if we divide 10miles/hour by 0.621371 we get kilometers/hour units:

$\frac{10miles}{hour} (\frac{1kilometer}{0.621371miles} )=16.0934\frac{kilometers}{hour}$

Thus to make the conversion between the two units is needed the number of miles in 1 kilometer.

5 0

3 years ago

A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

4 0

3 years ago