F(x) = x − 3 and g(x) = 2x + 8 Which ordered pair is a solution for the system?

Mathematics

2 answers:

Phoenix [80]3 years ago

8 0

I put it into Desmos and got (-11, -14)

kondor19780726 [428]3 years ago

6 0

$f(x)=g(x)\to x-3=2x+8\qquad\text{add 3 to both sides}\\\\x=2x+11\qquad\text{subtract 2x from both sides}\\\\-x=11\to\boxed{x=-11}\\\\\text{Put the value of x to the equation of f(x):}\\\\f(-11)=-11-3=-14\\\\Answer:\ \boxed{x=-11\ and\ y=-14\to(-11,\ -14)}$

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Help please........................

Akimi4 [234]

A rotation will interchange the (x,y) coordinates to (y, -x)
So the 3 points are transformed from
D(3,2) to D'(2,-3)
E(4,5) to E'(5,-4)
F(2,3) to F'(3,-2)

Now if you reflect these across the x axis only the y value is affected.
D'(2,-3) to D"(2,3)
E'(5,-4) to E"(5,4)
F'(3,-2) to F"(3,2)

Which is none of your answers. That's one of the reasons it has taken me so long to answer. I'm going to have someone I really trust check what I've done, but I think the question is incorrect. If I am wrong, he has the power to allow me to edit.

3 0

3 years ago

What is the slope of a line parallel to the line whose equation is 6x+y=-3 fully simplify the answer

vampirchik [111]

The slope of a line parallel to the line whose equation is 6x + y = -3 is: -6.

<h3>How to Find the Slope of a Line?</h3>

When given an equation of a line, the slope (m) of the line can easily be determined if the equation is written in the slope-intercept form. The slope-intercept form of the equation of a line is expressed as: y = mx + b.

The "m" in the equation is the slope of the line.

The slope of two lines that are parallel to each other are always the same.

Rewrite the equation, 6x + y = -3

y = -3 - 6x

y = -6x - 3

The slope in 6x + y = -3 is -6. The line that is parallel to the line would also have the same slope.

Therefore, the slope of a line parallel to the line whose equation is 6x + y = -3 is: -6.

Learn more about the slope of parallel lines on:

brainly.com/question/10790818

#SPJ1

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2 years ago

Which sequences of transformations result in an image being congruent to its pre-image?

Alecsey [184]

A reflection about the x axis and a reflection about the y axis

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3 years ago

Mr. Smith invests a certain amount of money at 8% and twice as much at 5%. If his annual income from the two investments is $720

professor190 [17]

The amount invested by Mr.Smith in 5% is $240 .

<u>Step-by-step explanation:</u>

We have , Mr. Smith invests a certain amount of money at 8% and twice as much at 5%. If his annual income from the two investments is $720 . Let us suppose that Mr.Smith invest $x so :

Amount of money invested in 5% is $\frac{5x}{100}$ . And, amount of money invested in 8% is twice that of 5% i.e. $\frac{(2)5x}{100} = \frac{10x}{100}$ .