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4 years ago

Is the y-intercept of the graph of y = ax always 0? Explain.

Mathematics

1 answer:

just olya [345]4 years ago

6 0

Answer:

yes

Step-by-step explanation:

on a graph, if you need it to be proportional, it has to start at (0,0)

if you need it to not be proportional, it can start anywhere except (0,0)

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Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of g

Bond [772]

Answer:

ground beef? pounds 42!

Step-by-step explanation:

5 pounds !

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3 years ago

MO bisects ∠LMN, m∠NMO =6x-20,and 2x+36. Solve for x and find m∠LMO

guapka [62]

Answer:

fwe

Step-by-step explanation:

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3 years ago

A runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes)

Vinil7 [7]

Answer:

its b

Step-by-step explanation:

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3 years ago

A child builds two wooden train sets. The path of one of the trains can be represented by the function y = 2cos2x, where y repre

Svet_ta [14]

Using a trigonometric equation, it is found that it will take 2.28 minutes until the two trains are first equidistant from the child.

<h3>What is the distance of each train to the child?</h3>

The distance of the first train is:

$y_1 = 2\cos^{2}x$

The distance of the second train is:

$y_2 = 3 + \cos{x}$

<h3>When are the trains equidistant to the child?</h3>

When $y_1 = y_2$ , hence:

$2\cos^{2}x = 3 + \cos{x}$

The following substitution is made:

$z = \cos{x}$

Hence:

$2z^2 = 3 + z$

$2z^2 - z - 3 = 0$

Which is a quadratic equation with coefficients $a = 2, b = -1, c = -3$ , hence:

$\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-3) = 13$

$z_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{13}}{4} = 1.5$

$z_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{1 - \sqrt{13}}{4} = -0.65$

Then, applying the trigonometric equation, considering that $-1 \leq z \leq 1$ due to the range of the cosine function:

$z_2 = \cos{x_2}$

$x_2 = \arccos{z_2} = \arccos{-0.65} = 2.28$

It will take 2.28 minutes until the two trains are first equidistant from the child.

You can learn more about trigonometric equations at brainly.com/question/2088730

8 0

3 years ago

bruno is digging a rectangular hole. the area of the rectangle is 10 square feet. bruno digs 3 feet dow.what is the volume

djverab [1.8K]

30 ft^3. If the area is 10 the the length is 5 and width is 2. If the height is 3 then it is 3 x 5 x 2 = 30ft^3

3 0

3 years ago