All categories

3 years ago

Which ordered pair represents the y-intercept of the graph of the equation y = -3x - 9?

1 answer:

7 0

------------------------------------------------------------------------------------------
Equation
------------------------------------------------------------------------------------------
y = -3x - 9

------------------------------------------------------------------------------------------
Option 1
------------------------------------------------------------------------------------------
If I substitute x = -9, I should get y = 0

When x = -9
y = -3 (-9) - 9
= 18 (I did not get 0, wrong)

------------------------------------------------------------------------------------------
Option 2
------------------------------------------------------------------------------------------
If I substitute x = -3, I should get y = 0
y = -3(-3) - 9
y = 9 - 9
y = 0 (Yes, I got 0, correct)

------------------------------------------------------------------------------------------
Option 3
------------------------------------------------------------------------------------------
If I substitute x = 0, I should get y = -3
y = -3 (0) - 9
y = 0 - 9
y = -9 (I did not get -3, wrong)

------------------------------------------------------------------------------------------
Option 4
------------------------------------------------------------------------------------------
If I substitute x = 0, I should get y = -9
y = -3 (0) - 9
y = 0 - 9
y = -9 (Yes, I got -9, correct)

------------------------------------------------------------------------------------------
Answer: (-3, 0) and (0, 9) are ordered pairs of the equation (Answer B, D)
------------------------------------------------------------------------------------------

You might be interested in

Please tell me the answer plsss i will be sure to mrk u brainliest for the best answer

Finger [1]

Step-by-step explanation:

2^3 X 3^-4 X 5^2 / (2x5)^2 X 2 X 3^2 X 3^-6

I will simply the expression on the RHS if the bracket first

2^2 X 5^2 X 2 X 3^2 X 3^-6

= 2^3 X 3^-4 X 5^2

So, putting them together

Both sides have th same expression

They cancel out each other

Answer : 1

5 0

3 years ago

Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both in case

olga nikolaevna [1]

Answer:

(a) The probability that both Dave and Mike will show up is 0.25.

(b) The probability that at least one of them will show up is 0.75.

Step-by-step explanation:

Denote the events as follows:

D = Dave will show up.

M = Mike will show up.

Given:

$P(D^{c})=0.55\\P(M^{c})=0.45$

It is provided that the events of Dave of Mike showing up are independent of each other.

(a)

Compute the probability that both Dave and Mike will show up as follows:

$P(D\cap M)=P(D)\times P (M)\\=[1-P(D^{c})]\times [1-P(M^{c})]\\=[1-0.55]\times[1-0.45]\\=0.2475\\\approx0.25$

Thus, the probability that both Dave and Mike will show up is 0.25.

(b)

Compute the probability that at least one of them will show up as follows:

P (At least one of them will show up) = 1 - P (Neither will show up)

$=1-P(D^{c}\cup M^{c})\\=P(D\cup M)\\=P(D)+P(M)-P(D\cap M)\\=[1-P(D^{c})]+[1-P(M^{c})]-P(D\cap M)\\=[1-0.55]+[1-0.45]-0.25\\=0.75$

Thus, the probability that at least one of them will show up is 0.75.

(c)

Compute the probability that neither Dave nor Mike will show up as follows:

$P(D^{c}\cup M^{c})=1-P(D\cup M)\\=1-P(D)-P(M)+P(D\cap M)\\=1-[1-P(D^{c})]-[1-P(M^{c})]+P(D\cap M)\\=1-[1-0.55]-[1-0.45]+0.25\\=0.25$

Thus, the probability that neither Dave nor Mike will show up is 0.25.

6 0

3 years ago

Read 2 more answers

Help me pls and show me how u did it their is no graph so how would I do this algebraically

Ahat [919]

Subtract 4 from both sides

y−4>−2x
Divide both sides by -2

x>-y-4/2

Question 2 - y>x-4

Add 4 to both sides

y+4>x

Switch sides

x<y+4

8 0

3 years ago

Simplify 6x2y3/24y2x3

mafiozo [28]

6 x² y³ / 24 x³ y²

Divide numerator
and denominator by x² : 6 y² / 24 x y²

Divide numerator
and denominator by y² : 6 / 24x

Divide numerator
and denominator by 6 :  1 / 4x 

6 0

3 years ago

(5x + 12) 48° solve for x.

zimovet [89]

Answer: It is 108

Step-by-step explanation:

7 0

3 years ago