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stiv31 [10]
3 years ago
9

Write the equation in slope-intercept form: x-4y=8

Mathematics
2 answers:
ad-work [718]3 years ago
4 0

Answer:

y =  \frac{1}{4} x - 2

Step-by-step explanation:

First thing to do is siolate the y variable. We do this by subtracting x from both sides of the equation in this particular equation.

x - 4y = 8 \\  - x \:  \:  \:  - x \\  - 4y =   - x + 8

Now we change the -4y into just y using division. We have to divide boths sides by -4 to do so.

- 4y =  - x + 8 \\  \div ( - 4) \:  \:  \div ( - 4) \\ y =   \frac{1}{4}x - 2

There it is in slope intercept form.

alisha [4.7K]3 years ago
3 0

Answer:

y=1/4x-2

Step-by-step explanation:

slope intercept form is y=mx+b

your equation right now is in standard form: ax+by=c

equation: x-4y=8

what we want to do is isolate y on one side

subtract x from both sides

-4y=-x+8

divide by 4 on both sides

y=1/4x-2

Hope this helps! :)

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Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They
Solnce55 [7]

From the solution to the inequality, the correct interpretation is that:

Amanda's family can drive 244 miles before they need to refill the gas tank.

The amount of miles they can still travel is modeled by the following <em>inequality</em>:

108 + x \leq 352

It is solved similarly to an equality, hence:

x \leq 352 - 108

x \leq 244

Then:

Amanda's family can drive 244 miles before they need to refill the gas tank.

You can learn more about inequalities at brainly.com/question/25629776

6 0
2 years ago
Amma hikes 2and3/4 miles of nature trail in 1 hour and 15 minutes. How many miles does Amman hike per hour?
LekaFEV [45]
Formula
====
d = r * t

Givens
======
d = 2 3/4
t = 1 hour 15 minutes 
r = ????

Calculations
==========
You need to convert the 15 minutes to hours.
1 hour = 60 minutes
x hour = 15 minutes

1/60 = x/15
x = 15/60
x = 0.25 hours
so the time = 1 hours + 0.25 hours
t = 1.25 hours

Now you need to do something with the distance.
3/4 mile = 0.75 of a mile
So the distance = 2 + 0.75 = 2.75 miles

Now you are ready for the answer.
d = r * t you are looking for r
2.75 = r * 1.25
r = 2.75/1.25
r = 2.2 miles / hour

Note you could do this with fractions.
2 3/4 = 11/4
1 1/4 =  5/4

r = 11/4 // 5/4 =11/5 = 2 1/5 which is the same thing as 2.2. If your calculator can handle fractions (those kind of calculators cost about 10 dollars in Canada. It should be 8 in the US) that might be the way to do this problem.
6 0
3 years ago
Write the equation of a line in slope intercept form of a line that has a slope of 5 and a y
xenn [34]

Answer: y=5x-8

Step-by-step explanation: slope intercept form is y=mx+b. M stands for the slope and B stands for the y-intercept. You just need to input what the question is telling you.

8 0
3 years ago
6X - 2 + 5x + 7 *<br> what’s the answer?
enot [183]

Answer:

x=2.2

Step-by-step explanation:

6X - 2 + 5x + 7

add like terms

11x+5

divide 5 on both sides

x=2.2

Hope this helps dont 4get to like and star

-mercury

7 0
3 years ago
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