All categories

3 years ago

1/4x + 3/4y = 1 solve to graph linear equation

2 answers:

8 0

Convert this to slope-intercept form

subtract 1/4x,

3/4y=1-1/4x

then multiply my 4/3

y=4/3-1/3x

y=-1/3x+4/3

4/3 is the y-intercept, so when you're graphing begin with it. Then find another point on the graph according to the slope. Plot point (0,4/3) then plot a point with a y-value 1 less and an x-value 3 more. (slope is sometimes called rise over run because it is a ratio of the change in the y-value divided by the change in the x-value) Plot point (3,1/3). Connect the dots with a ruler and draw a line.

sveta [45]3 years ago

6 0

$standard \ linear \ equation\ :\\\\y=ax+b\\\\ \frac{1}{4}x + \frac{3}{4} y = 1 \ \ | \ multiply \ each \ term \ by \ 4\\ \\ x+3y=4 \ \ |\ subtract x\ to\ both\ sides\\\\3y=-x+4\ \ | \ divide \ each \ term \ by \ 3\\\\y=-\frac{1}{3}x+ \frac{4}{3}$

You might be interested in

The manager of a water park keeps track of the amount of money collected, m, and the number of tickets sold, t, each day. Which

Alexandra [31]

B. is the correct answer

4 0

3 years ago

Read 2 more answers

What is the domain and range for the following function and its inverse? f(x) = -x + 5

iren2701 [21]

Answer:

Domain: $\mathbb{R}$

Inverse: $f^{-1}(x) = -x + 5$

Step-by-step explanation:

Since this is a linear function, the domain and range is simply the set of real numbers.

The inverse is obtain by switching the places of x and y, then solving for y.

Here,

y = -x + 5

So switching x and y,

x = -y + 5

Solving for y again,

y = -x + 5

Thus,

$f^{-1}(x) = -x + 5$

5 0

4 years ago

Read 2 more answers

Solve x4 – 17x2 + 16 = 0.<br> Let u =<br> Select all of the zeroes of the function. i i

Soloha48 [4]

$Solve \ x^4 - 17x^2 + 16 = 0$

To solve this equation , we need to write it in quadratic form

$ax^2+bx+c=0$

To get the equation in quadratic form we replace x^2 with u

$x^2 = u$

$x^4 - 17x^2 + 16 = 0$ can be written as

$(x^2)^2 - 17x^2 + 16 = 0$ , Replace u for x^2

So equation becomes

$u^2 - 17u + 16 = 0$

Now we factor the left hand side

-16 and -1 are the two factors whose product is +16 and sum is -17

(u-16) (u-1) = 0

u -16 = 0 so u=16

u-1 =0 so u=1

WE assume u = x^2, Now we replace u with x^2

$u = 16 so \ it \ becomes \ x^2 =16$

Now take square root on both sides , x= +4 and x=-4

$u = 1 so \ it \ becomes \ x^2 =1$

Now take square root on both sides , x= +1 and x=-1

So zeros of the function are -4, -1, 1, 4

8 0

3 years ago

Read 2 more answers

Can someone explain how to do this?

egoroff_w [7]

Answer: ok ima try my best

the numbers that's in the {} are the umbers you put in for x so

10+10=22 is false

12+10=22 is true

in the x columns you put in the numbers

in the columns with the (x+10=22) you input the number for x so just rewrite it

then you answer if its the answer or not

Step-by-step explanation:

10+10=22 is false

12+10=22 is true < this one is the only one that's true the rest are false

i hope this helps

3 0

3 years ago

~please only answer if you know for sure~<br> -Thank you-

Serjik [45]

3 feet by 5 feet is the original figure.

We can obviously say that the triangle falls into the Not Similar - Different Shape category since it is a triangle, and we were given a rectangle

We can obviously say that the parallelogram (right next to the triangle) falls into the Not Similar - Different Shape category since it is a parallelogram, and we were given a rectangle

The 3 feet by 4 feet falls into the category of Not similar - Different ratio of Side Lengths because the original was 3 feet by 4 feet. And so then one side remained the same while the other went decreased, so they are not in a ratio.

The 12 feet by 15 feet falls into the category of Not similar - Different ratio of Side Lengths because 12 feet by 15 feet can be simplified in a ratio of 4 to 5 while the original is 3 to 5

The 6 feet by 10 feet falls into the category of Similar because 6 feet by 10 feet can be simplified in a ratio of 3 to 5 and the original is 3 to 5.

The 3 feet by 5 feet falls into the category of Similar because it is the same exact figure just rotated!

5 0

4 years ago