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3 years ago

How do I solve this -4y+x=-27

2 answers:

6 0

According x variable;

$-4y+x=-27\\
\\
\boxed{x=4y+27}$

According y variable:

$-4y+x=-27\\
\\
-4y=-27-x\\
\\
\boxed{y=\frac{-27-x}{-4}}$

GrogVix [38]3 years ago

5 0

First you have to know what a "solution" is.

The 'solution' is a set of 2 numbers which, if you put them into the equation
in place of 'x' and 'y', make the equation a true statement.

There are an infinite number of possible pairs of numbers that can do that.
Here are a few:

x = 0, y = 6.75
x = 1, y = 7
x = 2, y = 7.25
x = 3, y = 7.5
x = 4, y = 7.75
x = 10, y = 9.25
x= 100, y = 31.75
x= -50, y = -5.75

When you graph this equation, the graph is a straight line without any ends.
Every point on the line is a solution to the equation, and you know how many
points there are on a line without ends . . . . .

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Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0

3 years ago

Anybody knows how to do this??

Olegator [25]

Answer:

nopee sorry

Step-by-step explanation:

8 0

3 years ago

Helppp pleaseee if you can !!! if you can’t see the pic don’t bother answering

tester [92]

Answer:

D. $ 650

hope this is correct if its wrong I'm sorry

hope this helps you☺️☺️

4 0

3 years ago

Which input value produces the same output value for the two functions on the graph?

DiKsa [7]

Answer:

The input value is 3/4

Step-by-step explanation:

we know that

The input value that produces the same output value for the two linear functions, is the intersection point both graphs

we have

$f(x)=-3x+1$ ---> equation A

$g(x)=x-2$ ---> equation B

Equate equation A and equation B

$x-2=-3x+1$

solve for x

$3x+x=1+2$

$4x=3$

$x=\frac{3}{4}$

therefore

The input value is 3/4

5 0

3 years ago

PLEASE HELP!! Write an equation of g(x) that represents an exponential base “e” parent function with the following transformatio

Montano1993 [528]

Answer:

$g(x) = 12 {e}^{ - x - 7}$

Step-by-step explanation:

The parent function is

$g(x) = e {}^{x}$

First it is asked to reflect over the y axis so using the rule

$g(x) = g( - x)$

Our function looks like

$g(x) = e {}^{ - x}$

Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule

$g(x) = g(x - h)$

When subtracting a 7 it looks like now

where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule

$g(x) = a \times g(x)$

where a is the vertical stretch. So now it would look like

$g(x) = 12 {e}^{ - x - 7}$

4 0

3 years ago