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4 years ago

Find the slope and y-intercept in the equation. 2x+4y=9

1 answer:

const2013 [10]4 years ago

4 0

The first thing to do with these problems is to convert them into y=mx+b form; this will literally show you the answer to slope and y intercept since m=slope and b=y intercept.

To convert, isolate the y and the rest should fall into place. Subtract 2x from 4y and the other side of the equation to get the equation 4y= -2x+9 (put the x first because of mx+b). Then Divide the 4 from y and do the same to the other side to get y= -1/2x+9/4. M= -1/2 so that is the slope. B=9/4 so that is the y intercept

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Find the mean of the list of data.<br> 49, 65, 41, 38, 87, 55, 95, 106<br> I can’t find the answer

KatRina [158]

Answer:

67.

Step-by-step explanation:

First we find the mean:

Mean is add up everything and divide by how much numbers there are.

The numbers are:

$49, 65, 41, 38, 87, 55, 95, 106$ .

So we add them up which is 536.

Then we divide by how much numbers there are.

There are 8 numbers so 536/8 which is 67.

Hope this helps :D

3 0

3 years ago

The solution for the following system of equations is shown on the graph. What is the solution?

Bingel [31]

The solution is (3 , 4) ⇒ 2nd answer

Step-by-step explanation:

The system of equations can be solved by:

Elimination method
Substitution method

The system of equations is:

y = 3 x - 5 ⇒ (1)

y = $\frac{1}{3}$ x + 3 ⇒ (2)

By using the substitution method substitute y in equation (2) by equation (1)

3 x - 5 = $\frac{1}{3}$ x + 3

Subtract $\frac{1}{3}$ x from both sides

$\frac{8}{3}$ x = 8

Divide both sides by $\frac{8}{3}$

x = 3

substitute x by 3 in equation (1)

y = 3(3) - 5

y = 9 - 5

y = 4

The solution is (3 , 4)

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

5 0

4 years ago

If you help ill give you some of my banana milk...

snow_tiger [21]

Given:

The function is:

$f(x)=4x^2-25x-21$

To find:

The domain of the given function.

Solution:

Domain is the set of input values.

We have,

$f(x)=4x^2-25x-21$

It is a quadratic polynomial.

We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:

Domain = Set of all real number

Domain = (-∞,∞)

Therefore, the correct option is B.

3 0

3 years ago

I need help. Basically, I need to figure out the dependent and independent value of a function.

Rama09 [41]

Answer:

x = log(y/4)/log(1.0256)
your answer for y=12 is correct

Step-by-step explanation:

The question is asking you to solve ...

y = f(x)

for x. (In other words, find the inverse function.)

You already did this using a constant for y. Do the same thing with y instead of the constant.

y = 4(1.0256^x)

y/4 = 1.0256^x . . . . . . . divide by 4

log(y/4) = x·log(1.0256) . . . . . take logs

log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x

Now, you have a model for x in terms of y, which is what the question is asking for.

x = log(y/4)/log(1.0256) . . . . . . . exact expression

When y=12, this is ...

x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks

_____

This is a linear equation in log(y), so can be written as such:

x = 91.0912·log(y) -54.8424 . . . . . approximate expression

6 0

3 years ago

Which is another way to check the sum of 52 + 23 + 10 + 78

BaLLatris [955]

Well first off those numbers add up to 163.

A way to check this is to add 52 with 23 which is 75 then add 78 by 10 which is 88 now add 75 with 88 which is 163

6 0

3 years ago