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3 years ago

Determine whether each equation defines y as function of x, 2x+y=8

Mathematics

1 answer:

solong [7]3 years ago

6 0

Answer:

Yes. This equation defines y as function of x.

Step-by-step explanation:

Step 1:

Solve the equation for y (this puts the equations in terms of y)

2x+y=8 becomes

y = 2x - 8

This is a linear equation, which is a funtion.

*Another way to solve this is to look at the graph. Graphing this equation gives us a line. Use the vertical line test to see if it's a function.

To pass the vertical line test (VLT), there can only be one y value to each x value along the graph. If it passes the VLT, the equation is a function.

If it fails the VRT, the equation is not a function.

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The figure shows a quarter circle and an equilateral triangle. What is thearea of the shaded part? Give your answer to 3 signifi

ad-work [718]

Explanation

The shaded area represents a segment. This can be solved with the formula below;

$\mleft(\frac{\theta}{360}\mright)\times\pi r^2-\frac{1}{2}r^2sin\theta$

Since the triangle is an equilateral triangle, it implies that the angle subtended at the centre is 60 degrees. Also, the given radius is 7 cm

$\begin{gathered} =7^2(\frac{60}{360}\times3.14-\frac{1}{2}\times\sin 60)^{}_{} \\ =49(\frac{3.14}{6}-\frac{\sqrt[]{3}}{4}) \\ =4.43\operatorname{cm}^2 \end{gathered}$

Answer:

$4..43\operatorname{cm}^2$

7 0

6 months ago

A coin that can turn up either heads (H) or tails (T) is flipped. If a head turns up, a spinner that can land on any of the firs

Aneli [31]

Answer:

Infinity

Step-by-step explanation:

It is possible for the coin to endlessly fall on tails, so there are infinity different outcomes.

Tell me if I'm wrong :)

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2 years ago

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How could you change the equation from 5x+2=5x+5 so it has infinitely many solutions?

Ganezh [65]

I'm working on the same thing right now and I'm using every resource in my hands right now to find a solution. I will edit this post when I have more. If you need any more help I have completed the previous activity and most of this one.

EDIT:

Ok so I checked with somebody who is pretty good with math and they said that 5x=5x would be right. Not too sure but that's what I'm putting.

I put EVERYTHING for this assignment in comments down below. Geez all of this for 5 freakin points.

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2 years ago

Use the scatter plot of car resale values to answer the following question.

Nataly_w [17]

Answer:

Step-by-step explanation:

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2 years ago

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