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

How do i translate 70% of 120 is ?

garik1379 [7]

Multiply 120 times .7 because you just Turn the percent into a decimal

3 0

2 years ago

Read 2 more answers

Use the sum of cubes identity to write this polynomial expression in factored form: 8x^3 + 27

babunello [35]

Answer:

hola, por que? si 8xup3 euqlieas tja gnaot nighar

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

6. If a person adopts a pet, it's either a cat or a dog. 25% of the time, it's a cat and 75% of the time, it's a dog. If you mee

alina1380 [7]

Answer:

0.0156 probability that they got three cats.

0.4219 probability that they got three dogs.

Step-by-step explanation:

For each person there are only two possible outcomes. Either they adopted a dog, or a cat. The probability of a person adopting a cat or a dog is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Three people:

This means that $n = 3$

What's the probability that they got three cats?

25% of the time it's a cat adopted, which means that $p = 0.25$

This is P(X = 3). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156$

0.0156 probability that they got three cats.

What's the probability that they got three dogs?

75% of the time it's a dog adopted, which means that $p = 0.75$

This is P(X = 3). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219$

0.4219 probability that they got three dogs.

6 0

3 years ago

~~~30 POINTS~~~<br> Please assist me on this math question!

MAXImum [283]

A)
Let's pick point (4,4) and point (2,2). If you divide the new point by the old point you will see that both the x-value and the y-value were multiplied by 2 to gt the new x-value and new y- value. So the scale factor is 2.

The perimeter of the first square can be found by subtracting the x-values from two points to get the length of one side and then multiply the result by 4 to get the perimeter of the whole square.
2-(-2)=4
The length of one side of the first square is 4. (I just subtracted the x-values.)
4 times 4 = 16.
The perimeter of the first square is 16.

Similarly, 4-(-4)=8 and 8 times 4 = 32.
The perimeter of the second square is 32.

b)
Let's pick point (6,6) and point (3,3). If you divide the new point by the old point you will see that both the x-value and the y-value were multiplied by 2 to gt the new x-value and new y- value. So the scale factor is 2.

The perimeter of the first square can be found by subtracting the x-values from two points to get the length of one side and then multiply the result by 4 to get the perimeter of the whole square.
3-(-3)=6
6 times 4 = 24.
The perimeter of the first square is 24.

Similarly, 6-(-6)=12 and 12 times 4 =48.
The perimeter of the second square is 48.

c)
If a figure is dilated to a scale factor of 2 then the perimeter of the figure will also be doubled.

3 0

3 years ago

Alex returns a bike to a friends house from his own house in 1/2 hour. He walks back over the same route in 1.5 hours. If the av

ira [324]

Answer:

Step-by-step explanation:

Let x represent his average walking speed.

If the average speed on the bike is 8 mph faster than his walking speed,it means that his biking speed is (x + 8) mph

Distance = speed × time

Alex returns a bike to a friends house from his own house in 1/2 hour. This means that the distance covered is

0.5(x + 8)

He walks back over the same route in 1.5 hours. This means that the distance covered is

1.5x

Since the distance covered is the same, then

1.5x = 0.5(x + 8)

1.5x = 0.5x + 4

1.5x - 0.5x = 4

x = 4 mph

Therefore, the distanceof Alex's house from his friend's house is

4 × 1.5 = 6 miles

4 0

3 years ago