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2 years ago

Which of the following equations represents a linear function?

Mathematics

2 answers:

ycow [4]2 years ago

8 0

2x-4y=6 is your answer
It much form y=mx+b

Alex Ar [27]2 years ago

6 0

2x - 4y = 6 is the linear function y = mx + c

You might be interested in

How to add and subtract mixed number

sp2606 [1]

Answer: Find the Least Common Denominator (LCD)

Find the equivalent fractions.

Add or subtract the fractions and add or subtract the whole numbers.

Write your answer in lowest terms.

4 0

3 years ago

Grade 10 Math. Solve for y. Will mark right answer brainliest :)

Dima020 [189]

Answer:

y=5, y= $\frac{38}{11}$

Step-by-step explanation:

Hi there!

We are given the equation

$\frac{y+2}{y-3}$ + $\frac{y-1}{y-4}$ = $\frac{15}{2}$ and we need to solve for y

first, we need to find the domain, which is which is the set of values that y CANNOT be, as the denominator of the fractions cannot be 0

which means that y-3≠0, or y≠3, and y-4≠0, or y≠4

$\frac{y+2}{y-3}$ and $\frac{y-1}{y-4}$ are algebraic fractions, meaning that they are fractions (notice the fraction bar), but BOTH the numerator and denominator have algebraic expressions

Nonetheless, they are still fractions, and we need to add them.

To add fractions, we need to find a common denominator

One of the easiest ways to find a common denominator is to multiply the denominators of the fractions together

Let's do that here;

on $\frac{y+2}{y-3}$ , multiply the numerator and denominator by y-4

$\frac{(y+2)(y-4)}{(y-3)(y-4)}$ ; simplify by multiplying the binomials together using FOIL to get:

$\frac{y^{2}-2y-8}{y^{2}-7y+12}$

Now on $\frac{y-1}{y-4}$ , multiply the numerator and denominator by y-3

$\frac{(y-1)(y-3)}{(y-4)(y-3)}$ ; simplify by multiplying the binomials together using FOIL to get:

$\frac{y^{2}-4y+3}{y^{2}-7y+12}$

now add $\frac{y^{2}-2y-8}{y^{2}-7y+12}$ and $\frac{y^{2}-4y+3}{y^{2}-7y+12}$ together

Remember: since they have the same denominator, we add the numerators together

$\frac{y^{2}-2y-8+y^{2}-4y+3}{y^{2}-7y+12}$

simplify by combining like terms

the result is:

$\frac{2y^{2}-6y-5}{y^{2}-7y+12}$

remember, that's set equal to $\frac{15}{2}$

here is our equation now:

$\frac{2y^{2}-6y-5}{y^{2}-7y+12}$ = $\frac{15}{2}$

it is a proportion, so you may cross multiply

2(2y²-6y-5)=15(y²-7y+12)

do the distributive property

4y²-12y-10=15y²-105y+180

subtract 4y² from both sides

-12y-10=11y²-105y+180

add 12 y to both sides

-10=11y²-93y+180

add 10 to both sides

11y²-93y+190=0

now we have a quadratic equation

Let's solve this using the quadratic formula

Recall that the quadratic formula is y=(-b±√(b²-4ac))/2a, where a, b, and c are the coefficients of the numbers in a quadratic equation

in this case,

a=11

b=-93

c=190

substitute into the formula

y=(93±√(8649-4(11*190))/2*11

simplify the part under the radical

y=(93±√289)/22

take the square root of 289

y=(93±17)/22

split into 2 separate equations:

y= $\frac{93+17}{22}$

y= $\frac{110}{22}$

y=5

and:

y= $\frac{93-17}{22}$

y= $\frac{76}{22}$

y= $\frac{38}{11}$

Both numbers work in this case (remember: the domain is y≠3, y≠4)

So the answer is:

y=5, y= $\frac{38}{11}$

Hope this helps! :)

5 0

2 years ago

NEED HELP ASAP

vagabundo [1.1K]

3.1 cups of white four and 4.5 cups of whole wheat flour adding it together 3.1n (standing for the white flour) and 4.5n (standing for the whole wheat flour) is 7.6n times .50 is $3.80 So the answer is C.

Hope this helps :)

7 0

3 years ago

Please answer this quickly! Find the next two numbers in the pattern. 1875, -375,75,?,?

agasfer [191]

Hope this helps sorry if it’s wrong

7 0

2 years ago

a jar contains 30 red, 40 blue, and 50 white buttons. you pick one button at random, find the probability that is not white

Jet001 [13]

Answer:

<em>The probability that the button is not white is </em><em>0.583</em>

Step-by-step explanation: