All categories

3 years ago

Is the table linear or nonlinear? X 0 1 2 3 Y 2 4 8 16

Mathematics

1 answer:

RideAnS [48]3 years ago

5 0

Answer:

It is linear

Step-by-step explanation:

The Y goes up by the same amount as the X (by 4 Y's per 1 X)

You might be interested in

Joann works in a publicity office at the state university. she is paid $ 12.00 $12.00 an hour for the first 35 35 hours she work

hram777 [196]

$ 12 per hr for the first 35 hrs.....12 * 35 = 420

420 + 18x = 636
18x = 636 - 420
18x = 216
x = 216/18
x = 12

so she worked 35 hrs regular pay and 12 hrs overtime for a total of 47 hrs

6 0

3 years ago

The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal siz

9966 [12]

Answer:

$(a)\ Area = 3765.32$

$(b)\ Area = 4773$

Step-by-step explanation:

Given

$A_1 = 169in^2$ --- area of each square

$Shade = 4in$

See attachment for window

Solving (a): Area of the window

First, we calculate the dimension of each square

Let the length be L;

So:

$L^2 = A_1$

$L^2 = 169$

$L = \sqrt{169$

$L=13$

The length of two squares make up the radius of the semicircle.

So:

$r = 2 * L$

$r = 2*13$

$r = 26$

The window is made up of a larger square and a semi-circle

Next, calculate the area of the larger square.

16 small squares made up the larger square.

So, the area is:

$A_2 = 16 * 169$

$A_2 = 2704$

The area of the semicircle is:

$A_3 = \frac{\pi r^2}{2}$

$A_3 = \frac{3.14 * 26^2}{2}$

$A_3 = 1061.32$

So, the area of the window is:

$Area = A_2 + A_3$

$Area = 2704 + 1061.32$

$Area = 3765.32$

Solving (b): Area of the shade

The shade extends 4 inches beyond the window.

This means that;

The bottom length is now; Initial length + 8

And the height is: Initial height + 4

In (a), the length of each square is calculated as: 13in

4 squares make up the length and the height.

So, the new dimension is:

$Length = 4 * 13 + 8$

$Length = 60$

$Height = 4*13 + 4$

$Height = 56$

The area is:

$A_1 = 60 * 56 = 3360$

The radius of the semicircle becomes initial radius + 4

$r = 26 + 4 = 30$

The area is:

$A_2 = \frac{3.14 * 30^2}{2} = 1413$

The area of the shade is:

$Area = A_1 + A_2$

$Area = 3360 + 1413$

$Area = 4773$

7 0

3 years ago

If the discriminant is negative then the quadratic has

zepelin [54]

Answer:

No real solutions (or has two complex roots)

Step-by-step explanation:

The discriminant, b² - 4ac, is the expression (radicand ) of the quadratic equation:

$x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}$ .

The value of the discriminant determines the nature and the number of solutions given by the quadratic equation.

A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.

4 0

3 years ago

Draw the triangle that is the image of the given triangle after dilation with center (0,0) and a scale factor of 1/4 (one fou

solong [7]

Hey there!

Your answer is C.

If you take the lengths of the legs of the triangle, which are 12 and 4, we can multiply them by the scale factor to see what the legs of our new triangle is.

12 x 1/4 = 3

4 x 1/4 = 1

So, the legs of our new triangle have lengths of 1 and 3.

We can see that option C has the correct triangle in red.

If we're looking at the ratio of rise to run of each triangle, it is 1/3 for both the large triangle and the small triangle.

The rise for the larger triangle is 4, and the run is 12. That is 4/12, which can be simplified to 1/3.

The rise for the smaller triangle is 1, and the run is 3. That is 1/3, which is all the way simplified already.

These triangles are similar because the first one was dilated to get the second one, which explains why the ratios are the same.

Hope this helps!

6 0

3 years ago

A garden snail moves 1/6 foot in 1/3 hours. what is the unit rate?

fiasKO [112]

1 hour=1/6+1/6+1/6
1 hour=3/6
1 hour=1/2

for every hour, the snail moved 1/2 a foot

8 0

4 years ago

Read 2 more answers