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PtichkaEL [24]
3 years ago
13

What is the y- intercept for the equation y= 11x +1=

Mathematics
2 answers:
ki77a [65]3 years ago
8 0
The y intercept would be 1
jonny [76]3 years ago
3 0
It's the 1......if you replace x with 0.....you'll see it's the 1
You might be interested in
A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 3
Bess [88]

Answer:

The speed of the plane in still air = 150 mph

Step-by-step explanation:

This is a relative velocity question

Let the velocity of the plane in still air be v

And let the time the plane can fly 480 miles against the wind be t

(Velocity of the plane relative to the wind) = (velocity of plane) - (velocity of wind)

Flying against the wind

(Velocity of plane relative to the wind) = (480/t)

(Velocity of the plane) = v

(Velocity of the wind) = 30 mph

(480/t) = v - 30

t = 480/(v-30) (eqn 1)

Flying with the wind

(Velocity of plane relative to the wind) = 540/(t-1)

(Velocity of the plane) = v

(Velocity of the wind) = -30 mph

540/(t - 1) = v + 30

t - 1 = 540/(v+30) (eqn 2)

Since t is equal in both cases, substitute the value of t in eqn 1 into eqn 2.

[480/(v-30)] - 1 = [540/(v+30)]

Multiply through by (v+30)(v-30)

480(v+30) - [(v+30)(v-30)] = 540(v-30)

480v + 14400 - (v² - 900) = 540v - 16200

480v + 14400 - v² + 900 = 540v - 16200

v² + 540v - 480v - 16200 - 14400 - 900 = 0

v² + 60v - 31500 = 0

Solving the quadratic equation,

v = 150 mph or v = -210 mph

We'll pick the positive answer because of the directions we have established.

Therefore, the speed of the plane in still air = 150 mph

Hope this Helps!!!

3 0
3 years ago
Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits
olga nikolaevna [1]
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).

B(y)=b-c
B(y)=100y-18y²

Now that we have a net benefits function we need find it's derivate with respect to y.

\frac{dB(y)}{dy} =100-36y

Now we must find at which point this function is equal to zero.

0=100-36y
36y=100
y=2.8

Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.

B(2.8)=100(2.8)-18(2.8)²=138.88≈139.

One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.


3 0
3 years ago
Write the slope-interceptiin form of the equation 17=y+4x
erastova [34]

Answer:

Step-by-step explanation:

slope intercept form is y = mx + b

17 = y + 4x....we have to get y on one side and everything else on the other side.....so the easiest way would be to subtract 4x from both sides

17 - 4x = y + 4x - 4x....combine like terms

17 - 4x = y...rearrange

y = -4x + 17 <===== slope intercept form

7 0
3 years ago
What is 18 less than the quotient of a number and 3 as an expression
makvit [3.9K]

Answer:

n/3 - 18

Step-by-step explanation:

"quotient of a number and 3" is n/3, and so

"18 less than the quotient of a number and 3" as an expression is:

   n/3 - 18

5 0
3 years ago
A Monopoly player claims that the probability of getting a 2 when rolling a​ six-sided die is one sixth because the die is equal
Kisachek [45]

Answer:

<h2>It is Theoretical probability.</h2>

Step-by-step explanation:

Theoretical probability determines the likelihood of some incidents to happen.

Theoretical probability is the ratio between the total number of possible outcomes and the desired outcome.

Here, the desired outcome is getting a 2 that is only one desired outcome, where as total possible outcomes are 6. Here, the probability of getting a 2 is \frac{1}{6}.

Empirical probability depends on observance. In the given question, nothing related to observance of the given incident has mentioned, hence it is not empirical probability.

8 0
3 years ago
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