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4 years ago

Which statement best explains whether y = 3x + 5 is a linear function or a nonlinear function?

2 answers:

8 0

It is a linear function because its graph contains the points (0,5),(1,8),(2,11) which are on a straight line is correct I got 4 points for it AKA THE LAST ONE (D)

Korvikt [17]4 years ago

5 0

The last one is correct if you were to plug the coordinates into the x and y and it would be linear so yeah the last one

You might be interested in

Estimate 5÷10/11 to the nearest whole number

4vir4ik [10]

Answer:

${ \tt{5 \div \frac{10}{11} }} \\ \\ \dashrightarrow \: { \tt{5 \times \frac{11}{10} }} \\ \\ \dashrightarrow \: { \tt{ \frac{55}{10} = 5.5}} \\ \\ \dashrightarrow \: { \boxed{ \tt{ 5 \div \frac{10}{11} \approx \: 6}}}$

3 0

3 years ago

Read 2 more answers

Cavalieri’s principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the

kozerog [31]

<h2>Answer:</h2>

one cone within the cylinder.

<h2>Step-by-step explanation:</h2>

First of all we have to start with half of a sphere (also known as a hemisphere), whose radius is r, and calculate its volume. Then we can double our answer at the end to find the volume of the complete sphere. But first to apply the Cavalieri's Principle, we start with a cone with the same radius r and suppose the height is also r, so the volume of this cone is:

$V_{cone}=\frac{1}{3}\pi r^{3}$

Next, let's look at a cylinder and suppose this cylinder also has a radius r and height r, so the volume of this cylinder is:

$V_{cylinder}=\pi r^{3}$

Next, we place the the cone inside the cylinder and the volume that's inside the cylinder, but outside the cone is:

$V_{cylinder}-V_{cone}=\pi r^{3}-\frac{1}{3}\pi r^{3}=\frac{2}{3}\pi r^{3}$

And this is the volume of a hemisphere. Finally, if we double this value we get the volume of a complete sphere, which is:

$V_{sphere}=\frac{4}{3}\pi r^{3}$

7 1

3 years ago

Read 3 more answers

How many Solutions does 6 + x/5 = x/5 - 5 - 3x/10 have?

klasskru [66]

9514 1404 393

Answer:

1 solution (x = -36 2/3)

Step-by-step explanation:

6 + x/5 = x/5 - 5 - 3x/10 . . . . . . . given

60 +2x = 2x -50 -3x . . . . . . . . . multiply by 10

3x = -110 . . . . . . . . . . . . . . . . add x-60 to both sides

x = -110/3 = -36 2/3 . . . . . .divide by the coefficient of x

There is one solution to the equation.

_____

<em>Additional comment</em>

The coefficient of x on the left side of the equation is not equal to the coefficient of x on the right side. When that is the case, the equation will have one solution.

When the coefficients are equal, there will be no solutions if the constants are different, and there will be infinite solutions if the constants are the same.

6 0

3 years ago

Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?

velikii [3]

We can use the point-slope equation:
$y = mx + b$
m, the slope, is 3/4:
$y = \frac{3}{4} x + b$
To find b, we plug in the point (4,1/3):
$( \frac{1}{3} ) = \frac{3}{4} (4) + b \\ \frac{1}{3} = 3 + b \\ \frac{1}{3} = \frac{9}{3} + b$
$- \frac{8}{3} = b$

Therefore, the point-slope equation is
$y = \frac{3}{4} x - \frac{8}{3}$

Now we have to see which answer matches.

$y - \frac{3}{4} = \frac{1}{3} (x - 4) \\ y - \frac{3}{4} = \frac{1}{3} x - \frac{4}{3} \\ y - \frac{9}{12} = \frac{1}{3} x - \frac{16}{12}$
$y = \frac{1}{3} x - \frac{7}{12}$
Since this is not the same, we try the next one.

$y - \frac{1}{3} = \frac{3}{4} (x - 4) \\ y - \frac{1}{3} = \frac{3}{4} x - 3 \\ y - \frac{1}{3} = \frac{3}{4} x - \frac{9}{3}$
$y = \frac{3}{4} x - \frac{8}{3}$

This is the same, so this is the answer. We should still double-check the other answers.

$y - \frac{1}{3} = 4(x - \frac{3}{4} ) \\ y - \frac{1}{3} = 4x - 3 \\ y - \frac{1}{3} = 4x - \frac{9}{3}$
$y = 4x - \frac{8}{3}$
This one is not equivalent.

$y - 4 = \frac{3}{4} (x - \frac{1}{3} ) \\ y - 4 = \frac{3}{4} x - \frac{1}{4} \\ y - \frac{16}{4} = \frac{3}{4} x - \frac{1}{4}$
$y = \frac{3}{4} x + \frac{15}{4}$
This one also does not work.

The answer is the second one:
$y - \frac{1}{3} = \frac{3}{4} (x - 4)$

3 0

3 years ago

Read 2 more answers

. put these numbers in order, from least to greatest. if you get stuck, consider using a number line. 3.5 -1 4.8 -1.5 -0.5 -4.2

luda_lava [24]

-4.2, -3.5,-2.1,-1.5,-1,-0.5,0.5,2,3.5,4.8

7 0

2 years ago