All categories

3 years ago

What are the x- and y-intercepts of g(x) = 4 – x??

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

8 0

Answer:

See below in bold.

Step-by-step explanation:

The y -intercept is when x = 0 so

it is 4 - 0 = 4

That is (0, 4)

For the x intercept g(x) = 0 so

4 - x = 0

x = 4.

x -intercept is at (4,0).

You might be interested in

3.The legs of a right triangle are equal. Given the length of the legs, find the length of the hypotenuse. Round

miskamm [114]

Step-by-step explanation:

This sounds like you need to use Pythagorean therum which is A^2+B^2=C^2

a(squared)+ B(squared)=C(squared) and at the end try to use √ to get your answer.

5 0

3 years ago

45% of 81.2 is a number between.....

Misha Larkins [42]

36.54
45% of 81.2 is 36.54.

3 0

2 years ago

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of an

Gnoma [55]

Answer:

<h3> The true statement is the first:</h3><h2> Measure of angle A = 20 degrees</h2>

Step-by-step explanation:

The sum of the measure of the interior angles in a triangle is 180°

m∠A + m∠B + m∠C = 180°

(2x)° + (5x)° + (11x)° = 180°

(18x)° = 180°

x = 10

A = (2×10)° = 20° {<u>the first statement is true}</u>

B = (5×10)° = 50° {the second statement is false}

C = (11×10)° = 110°

m∠A + m∠B = 20° + 50° = 70° ≠ 90° {the third statement is false}

m∠A + m∠C = 20° + 110° = 130° ≠ 120° {the fourth statement is false}

3 0

2 years ago

Read 2 more answers

Expand the function f(x)=(x+5)^3

Fudgin [204]

Answer:

(x-5)^3

Step-by-step explanation:

(x-5)^3. (x−5)3 ( x - 5 ) 3

5 0

1 year ago

The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m

castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 10 minutes:

This means that $m = 10, \mu = \frac{1}{10} = 0.1$

A. What is the probability that the arrival time between customers will be 7 minutes or less?

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)$

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

$P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592$

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442$

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

3 0

3 years ago