All categories

2 years ago

Use substitution to solve the system

Mathematics

1 answer:

Doss [256]2 years ago

3 0

Answer:

x = 4, y = 16

Step-by-step explanation:

$y = 4x\\y = 2x + 8\\\\4x = 2x + 8\\2x = 8\\x = 4\\\\y = 4*4\\y = 16$

You might be interested in

glen rolls a 6 sided die what is the probability that he gets a number greater then 2 or an odd number

Firdavs [7]

Answer:

5/6.

Step-by-step explanation:

Let's list the numbers which fit the condition ' greater than 2 or an odd number':

They are 1, 3, 4, 5, 6. Five numbers, so the required probability is:

5/6.

6 0

2 years ago

Find the general solution of (x+3)y’=2y

gregori [183]

Answer:

$y=C(x+3)^2$

Step-by-step explanation:

We are given:

$\displaystyle (x+3)y^\prime=2y$

Separation of Variables:

$\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}$

So:

$\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx$

Integrate:

$\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx$

Integrate:

$\displaystyle \ln|y|=2\ln|x+3|+C$

Raise both sides to e:

$|y|=e^{2\ln|x+3|+C}$

Simplify:

$|y|=(e^{\ln|x+3|})^2\cdot e^C$

So:

$|y|=C|x+3|^2$

Simplify:

$y=\pm C(x+3)^2=C(x+3)^2$

5 0

3 years ago

trey made pasta in the shape of a square. he draws 2 lines to cut the pasta into smaller pieces. The smaller pieces have 12 side

vitfil [10]

The shape of the pasta is most likely to be a square

5 0

3 years ago

Find the unit rate. Twelve gallons of gas cost $22.68.

vredina [299]

To find the unit rate, all we need to do is divide $22.68 by 12

22.68 ÷ 12 = 1.89

Therefore, each gallon of gas costs $1.89

Hope this helps you

-AaronWiseIsBae :)

7 0

2 years ago

Taryn conducted a science experiment on saturation. She added sugar to sugar water solution at different intervals. The graph sh

dusya [7]

Equation of a line:
$y=mx+c$

m = gradient: The difference between two y points and two x points.
$m= \frac{\Delta y}{\Delta x}$

c = y-intercept: Where the line crosses the y-axis (x=0)

You have:
$y=\textunderscore\textunderscore \ x + \textunderscore$
so you are missing the m and the c.

To calculate m find two y coordinates -you have (12, 7) and (0, 1)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (12, 7) and (0, 1)- This gives:

$m= \frac{7-1}{12-0}$
$m= \frac{6}{12}$
$m=0.5$

To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

$c=1$

When you plug these values into the equation you get your answer:

$y=0.5x+1$

6 0

3 years ago