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3 years ago

What is the y-intercept of y = –3x + 6?

Mathematics

2 answers:

tankabanditka [31]3 years ago

5 0

The Answer Is -3(x-2)

nekit [7.7K]3 years ago

3 0

(0,6) is the y intercept !

You might be interested in

Statistics from the Riverside Police Department show that in the last 12 years there were 648 reported crimes in the city. Find

Sav [38]

Answer:

12.76% probability that there is exactly 1 reported crime on any given day.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Statistics from the Riverside Police Department show that in the last 12 years there were 648 reported crimes in the city.

Each year has 365 days. We want the mean for a day. So

$\mu = \frac{648}{12*365} = 0.1479$

Find the probability that there is exactly 1 reported crime on any given day.

This is P(X = 1).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-0.1479}*(0.1479)^{1}}{(1)!} = 0.1276$

12.76% probability that there is exactly 1 reported crime on any given day.

6 0

2 years ago

Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. It forms a pile in the shape of a right circular cone whose

Norma-Jean [14]

Answer:

$\frac{dh}{dt}=\frac{160}{169\pi } ft/min$

Step-by-step explanation:

This is a classic related rates problem. Gotta love calculus!

Start out with the formula for the volume of a cone, which is

$V=\frac{1}{3}\pi r^2h$

and with what we know, which is $\frac{dV}{dt}=40$

and the fact that the diameter = height (we will come back to that in a bit).

We need to find $\frac{dh}{dt}$ when h = 13

The thing we need to notice now is that there is no information given to us that involves the radius. It does, however, give us a height. We need to replace the r with something in terms of h. Let's work on that first.

We know that d = h. Because d = 2r, we can say that 2r = h, and solving for r gives us that $r=\frac{h}{2}$ .

Now we can rewrite the formula with that replacement:

$V=\frac{1}{3}\pi (\frac{h}{2})^2h$

Simplify that all the way down to

$V=\frac{1}{12}\pi h^3$

The derivative of that function with respect to time is

$\frac{dV}{dt}=\frac{1}{12}\pi(3h^2)\frac{dh}{dt}$

Filling in what we have gives us this:

$40=\frac{1}{12}\pi (3)(13)^2\frac{dh}{dt}$

Solve that for the rate of change of the height:

$\frac{dh}{dt}=\frac{160}{169\pi } \frac{ft}{min}$

or in decimal form:

$\frac{dh}{dt}=.95\pi \frac{ft}{min}$

8 0

2 years ago

(x+5) (×+5)=49. I need to know what x is, how do I solve this?

Archy [21]

$(x+5)^2=49$
squaer root both sides
x+5=+/-7
minus 5 both sides
x=-5+/-7
x=-5+7=2
x=-5-7=-12

x=2 or -12

4 0

3 years ago

What is the answer for this Problem?

geniusboy [140]

Answer:

Increasing on the interval(s) $-2\leq x\leq -4$

Decreasing on the interval(s) $-1\leq y\leq 1$

Step-by-step explanation:

Anytime the graph is going upward, the function is increasing. However, anytime the graph goes down, the function is decreasing. Look at the image below for further reference. Also, when the function is increasing, the slope is positive, and when the function is decreasing the slope is negative.

The increasing interval of the graph is -3

The decreasing interval of the graph is 0.5

Since the values are in the middle of the interval, it automatically becomes the answer.

5 0

2 years ago

the perimeter of a rectangle is 55 inches. the ratio of the length to width is 7:4. use proportions to find the area of the rect

Leni [432]

Answer:

Step-by-step explanation:

let : x the length and y the width .... ( x > y and x ; y reals numbers )

the perimeter is : 2(x+y)

2(x+y) = 55...(1)

x/y = 7/4 ...(2)

by (2) : x = (7/4)y

subsct in (1) : 2( (7/4)y +y ) =55

(7/2)y +2y =55

multiply by 2

7y +4y = 110

11y = 110

y = 10

x = (7/4)(10)

x = 35/2

4 0

3 years ago