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2 years ago

The c and y intercept

Mathematics

1 answer:

frosja888 [35]2 years ago

6 0

$y + 5 = 2(x + 1)$

$y - intercept \: (x = 0) \\ y + 5 = 2(0 + 1) \\ y + 5 = 2 \\ y = - 3$

<h2>Y intercept: ( 0 , -3 )</h2>

$x - intercept \: (y = 0) \\ 0 + 5 = 2(x + 1) \\ 5 = 2x + 2 \\ 2x = 3 \\ x = \frac{3}{2}$

<h2>X-intercept: ( 1.5 , 0 )</h2>

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1 slope y-intercept equation o 6 5 4 3 2 2 3 5 j-intercept

mars1129 [50]

Answer:

Step-by-step explanation:

(-1,1) and (0,-2) are points on the line

slope of line = (-2-1)/(0-(-1)) = -3

y-intercept = -2

y = -3x - 2

3 0

3 years ago

Roll one fair, six-sided die, numbered 1 through 6. Let A be the event you will roll an even number. Let B be the event you will

11111nata11111 [884]

Answer:

a) not independent

b) not mutually exclusive

Step-by-step explanation:

Given:

- A 6 sided die is rolled

- Event A is rolling an even number

- Event B is rolling a prime number

Find

- (a) Are A and B independent events?

- (b) Are A and B mutually exclusive events?

Solution:

- We will find the probability of each event:

set(Even number: A) = {2, 4, 6} = 3 outcomes

set(Prime number: B) = {2 , 3, 5} = 3 outcomes

- The probabilities are:

P(A) = 3/6 = 0.5

P(B) = 3/6 = 0.5

- For Event A and B to be independent then the following condition must match:

P ( A & B ) = P(A)*P(B)

set (A&B) = {2} = 1 outcome

P(A&B) = 1/6

1 / 6 = 0.5*0.5

1/6 = 0.25 ...... NOT INDEPENDENT

- For Event A and B to be mutually exclusive then the following condition must match:

P(A&B) = 0

P(A&B) = 1/6

Hence, we can say the events are NOT MUTUALLY EXCLUSIVE

7 0

3 years ago

The function f is given by the table of values as shown below.

lubasha [3.4K]

Answer:3^x

9, 15, 33, 87, 249

(4, 87) for example

Step-by-step explanation:

a) First differences of the f(x) values in the table are ...

19 -13 = 6, 37 -19 = 18, 91 -37 = 54, 253 -91 = 162

The second differences are not constant:

18 -6 = 12, 54 -18 = 36, 162 -54 = 108

But, we notice that both the first and second differences have a common ratio. This is characteristic of an exponential function. The common ratio is 18/6 = 3, so the parent function is 3^x.

b) Translating a function down 4 units subtracts 4 from each y-value. The values of f(x) in the table would be ...

9, 15, 33, 87, 249

c) The x-values of the function stay the same for a vertical translation, so the points in the table of the transformed function are ...

(x, f(x)) = (1, 9), (2, 15), (3, 33), (4, 87), (5, 249)

i hope this helps

7 0

3 years ago

Read 2 more answers

The variables x and y have a quadratic relationship. Tripling the value of x causes the value of y to increase by a factor of ni

Lady bird [3.3K]

Answer:

<em>The value of y when x has a value of 9 is 18</em>

Step-by-step explanation:

<u>Functions</u>

The variables x and y are said to have a quadratic relationship. That information is not enough to set up a general equation for both variables.

Furthermore, we know that tripling the value of x causes the value of y to be multiplied by 9. That leads us to establish a proportional equation between them, as follows:

$y=kx^2$

Where k is an unknown constant.

Let's use the given point (3,2) to find the value of k:

$2=k(3)^2$

$2=9k$

Solving for k:

$\displaystyle k=\frac{2}{9}$

The equation is now:

$\displaystyle y=\frac{2}{9}x^2$

Now find y when x=9:

$\displaystyle y=\frac{2}{9}(9)^2$

$\displaystyle y=\frac{2}{9}\cdot 81=18$

The value of y when x has a value of 9 is 18

3 0

4 years ago

License plates in a particular state display 3 letters followed by 3 numbers. How many different license plates can be manufactu

netineya [11]

Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.

Fundamental counting theorem:

States that if there are n things, each with $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is: