All categories

2 years ago

What is the equation of the line that is perpendicular to the

Mathematics

1 answer:

kotegsom [21]2 years ago

7 0

Answer:

y=x-6

Step-by-step explanation:

The x-intercept is found replacing y = 0, as follows:

Function: y = -3x + 8

x-intercept:

0 = -3x + 8

3x = 8

x = 8/3

Function: y = -3x + 6

x-intercept:

0 = -3x + 6

3x = 6

x = 6/3 = 2

Function: y = -x - 8

x-intercept:

0 = -x - 8

x = -8

Function: y = x - 6

x-intercept:

0 = x - 6

x = 6

The last option is the only one in which x-intercept is x = 6.

You might be interested in

What is the angle, in degrees, when the coordinate is <img src="https://tex.z-dn.net/?f=%28-%5Csqrt%7B2%7D%20%2F2%29%2C%20%5Csqr

Juliette [100K]

Answer:

135°

Step-by-step explanation:

seg AB=seg OB

tan ∠AOB = 1

∠AOB = 45°

∠AOC = 135°

8 0

2 years ago

A group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket cost

DerKrebs [107]

I believe answer is 423$

3 0

2 years ago

Use set of notation to write the domain and range of the function y=-3x(x+1)^2+3 shown in graph

anygoal [31]

The domain of a function is the set of values of x in which the function can be calculated.

The range of a function is the associated values of the function respect to the domain.

You have the following function:

$y=-3(x+1)^2+3$

In order to determine the domain and range of the previous function, you consider that the given function is available for any value of x. Then, you have:

dom y: -∞ ≤ x ≤ ∞ : (-∞,∞)

The range of the function can be determine by noticing, on the graph, that the maximum value of the function is y=3 and also you can notice that there is no a limit for negatives values of the function. Then, you have:

ran y: -∞ ≤ y ≤ 3 : (-∞,3]

7 0

6 months ago

The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003

Dvinal [7]

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

3 0

2 years ago

You are to give an injection of a drug. The dosage is 0.4 mg per kilogram of bod The concentration of the drug in vial is listed

kipiarov [429]

Answer:

You inject 60.9628 milliliters of dosage

Step-by-step explanation:

1 pound = 0.453592kg,

Patient's weight in pounds = 168

Patient's weight in kg = $76.2035 kg$

Now we are given that The dosage is 0.4 mg per kilogram of bod

So, dosage = $0.4 \times 76.2035 mg = 30.4814 mg$

1 microgram = 0.001 mg

Concentration of drug = $500 micrograms/ml = 500 * 0.001 mg/ml = 0.5 mg/ml$

Now we are supposed to find How many milliliters (= cc) are you to inject?

So,milliliters of dosage required to inject = $\frac{30.4814}{0.5} = 60.9628$

Hence you inject 60.9628 milliliters of dosage

7 0

3 years ago