(8,9); x+3y=2 in y=mx+b form

Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y =

aniked [119]

Answer:

The equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given

y-intercept b = -12

slope m = 3/2

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

$y = mx+b$

$y\:=\:\frac{3}{2}x\:+\:\left(-12\right)$

$y\:=\:\frac{3}{2}x\:-12$

Therefore, the equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

8 0

2 years ago

Find the 12th term of following geometric sequence 5, 20,80, 320,

vesna_86 [32]

5, 20, 80, 320, 1280, 5120, 20480, 81920, 327680, 1310720, 5242880, 20971520

The 12th term would be 20,971,520
Everything is being multiplied by 4 each time

5 0

2 years ago

In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s

MaRussiya [10]

Answer:

The mentioned number in the exercise is:

362

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

x = hundredths digit
y = tens digit
z = ones digit

We can write:

x = z + 1 (the hundreds digit is one more than the ones digit).
y = 2x (the tens digit is twice the hundreds digit).
x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

x + y + z = 11
(z + 1) + y + z = 11 (remember x = z + 1)
z + 1 + y + z = 11
z + z +y + 1 = 11 (we just ordered the equation)
2z + y + 1 = 11 (z + z = 2z)
2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
2z + y = 10
2z + (2x) = 10 (remember y = 2x)
2z + 2x = 10
2z + 2(z + 1) = 10 (x = z + 1 again)
2z + 2z + 2 = 10
4z + 2 = 10
4z = 10 - 2
4z = 8
z = 8/4
z = 2

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

x = z + 1
x = 2 + 1
x = 3

And we'll use the second equation to obtain the value of y (the tens digit):

y = 2x
y = 2(3)
y = 6

Organizing the digits, we obtain the number:

Number = xyz
Number = 362

As you can see, the obtained number is 362.

8 0

2 years ago

X2 = x + 12 Solve this

Talja [164]

Answer:

x=4,−3

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Write a real world problem that could be solved by using the equation <img src="https://tex.z-dn.net/?f=3x-25%3D125" id="TexForm

forsale [732]

Answer:

x=50

See below for word problem.

Step-by-step explanation:

While shopping, you spend $125 before tax. You buy 3 dresses at the same price each and receive a $25 discount. How much is the price of each dress?

3x-25=125

3x=125+25

3x=150

x=50

8 0

2 years ago