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3 years ago

What are the slope and y-intercept of this function?

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

5 0

Answer:it’s “c”

Step-by-step explanation:

First you’re going to get the slope (15+3)/(6-0)=3 —- 15+3 because you have two negatives which makes the sign positive

And you already have a bracket (0,-3)

If x in the bracket is 0 then the y is the y intercept

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Determine the number of outcomes in the event. Decide whether the event is a simple event or not.

Anna35 [415]

Answer:

No, The event B is not a simple event because event B has more than one outcome.

Step-by-step explanation:

Consider the provided information.

A computer is used to select randomly a number between 1 and 9 comma inclusive.

Event B is selecting a number greater than 4.

Let B be an event that the selected number greater than 4.

We have given that the total number used by the computer is:

1, 2, 3, 4, 5, 6, 7, 8, 9

Now the sample space for selecting a number greater than 4 is:

S = {5, 6, 7, 8, 9}

Therefore, the event B has 5 outcomes.

The event B is not a simple event because event B has more than one outcome.

6 0

4 years ago

The light from a lamp creates a shadow on a wall with a hyperbolic border. Find the equation of the border if the distance betwe

dolphi86 [110]

This question is incomplete, the complete question is;

The light from a lamp creates a shadow on a wall with a hyperbolic border. Find the equation of the border if the distance between the vertices is 18 inches and the foci are 4 inches from the vertices. Assume the center of the hyperbola is at the origin.

Answer:

the equation of the border is x²/81 - y²/88 = 1

Step-by-step explanation:

Given the data in the question;

distance between vertices = 2a = 18 in

a = 18/2 = 9 in

distance of foci from vertices = 4 in

hence distance between two foci = 2c = 18 + 4 + 4 = 26

c = 26/2 = 13 in

Now, from Pythagorean theorem

b = √( c² - a² )

we substitute

b = √( (13)² - (9)² ) = √( 169 - 81 ) = √88

we know center is at the origin, so

( h, k ) = ( 0, 0 )

h = 0

k = 0

Using equation of hyperbola

[ ( x-h )² / a² ] - [ ( y - k )² / b² = 1

we substitute

[ ( x-0 )² / 9² ] - [ ( y - 0 )² / (√88)² ] = 1

x²/81 - y²/88 = 1

Therefore, the equation of the border is x²/81 - y²/88 = 1

3 0

3 years ago

Hunter raises beetles. in a square of compost 6 ft by 6 ft, he can have 500 beetles. how many beetles can he have if his square

Rus_ich [418]

If Hunter raises beetles in a square of compost with a size of 6 ft by 6 ft and having 500 beetles, and then you are to find the number of beetles with a side length that is four times longer, then you can solve this by ratio and proportion.

A = s²
A = 6²
A = 36 ft²

if s = 4*the original length, then the new area is

A = 24²
A = 576 ft²

500 beetles/36 ft² = x number of beetles/576 ft²
x = 8,000 beetles

7 0

4 years ago

Find the maximum value of the function y=x^4 - x^2 +13 on the interval [-1;2]

TEA [102]

Answer: the maximum is 25.

Step-by-step explanation: a max/min can occur on the endpoints of a function and critical points of the function's derivative.

f(x)=x^4-x^2+13

f'(x)=4x^3-2x

The critical points of f'(x) occur when f'(x) is zero or undefined. f'(x) is not ever undefined in this case, so we just need to find the x values for when it's zero.

0=4x^3-2x

x=.707, -.707

Now that we have the critical points of f'(x) (.707 and -.707) and endpoints (-1 and 2), we can plug in these x values into the original function to determine its maximum. When you do this you'll find that the greatest y value produced occurs when x=2 and results in a max of 25.

4 0

3 years ago

Demarco paid $3.19 per gallon both times that he stopped for gas on a weekend trip. He bought 12.53 gallons of gas the first tim

Anon25 [30]

You didn't include the options, so whichever one looks like x=(12.53+11.86)3.19 or something similar. You need to add the amount of gallons he bought, then multiply them by the cost per gallon, which will most likely be set equal to a variable.

7 0

4 years ago

Read 2 more answers