Who is good and can help me with Algebra 1?

Which statements about these two functions are true? Select the TWO that apply. Function A is a linear function and Function B i

KengaRu [80]

Answer:

Function A is a linear function and Function B is a nonlinear function

Function A has a positive rate of change

Step-by-step explanation:

Verify each statement

Option 1) Function A is a linear function and Function B is a nonlinear function

The statement is True

Because

Function A

The function A represent a proportional relationship that can be expressed in the form

Find the value of k

For x=1, y=5 ----> $k=\frac{5}{1}=5$

For x=2, y=10 ----> $k=\frac{10}{2}=5$

For x=3, y=15 ----> $k=\frac{15}{3}=5$

so

$y=5x$

The graph is a straight line

therefore

Function A represent a linear function

Function B

we have

$y=4x^2+2$

This is a quadratic equation (vertical parabola open upwards)

The graph is a curved line

therefore

Function B represent a nonlinear function, because the graph is not a straight line

Option 2) Function B has two y-intercepts at (0, 2) and (0, –2)

The statement is False

Because

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

$y=4(0)^2+2=2$

Therefore

The function B has only one y-intercept at (0,2)

Option 3) Function A has a positive rate of change.

The statement is True

Because

The rate of change of the function A is equal to the slope

The slope of the function A is m=5

Is a increasing function

As x increases the value of y increases

As x decreases the value of y decreases

Option 4) Function B has a negative rate of change

The statement is False

Because

To find the average rate of change, we divide the change in the output value by the change in the input value

we have

$y=4x^2+2$

Is a vertical parabola open upward

The vertex of the function B is the point (0,2)

For the domain ----> (-∞,0)

The function is decreasing ( the rate of change is negative)

For the domain ----> (0,∞)

The function is increasing ( the rate of change is positive)

4 0

3 years ago

If all perpendicular lines are also intersecting lines, are all interesting lines also perpendicular lines? Explain, you'r answe

DerKrebs [107]

No.

Perpendicular lines are lines that intersect at a 90° angle.

If two lines are perpendicular, they create four 90° angles.

However, for two lines to intersect, they do not necessarily have to intersect at a 90° angle.

All roses are flowers, but not all flowers are roses.

All perpendicular lines are intersecting lines, but not all intersecting lines are perpendicular.

3 0

3 years ago

I need help with making predictions with probability please help me correctly answer these questions.

Semmy [17]

Answer:

1. So the porpotion should be 25/100 = x/120

You have this because you know that 25% of the dogs who go to ABC veterinarian need a rabies booster. So 100% of the dog should be 120 dogs, and now our job is to find how many dogs make up 25% percent of the total number.

According to our porpotion, we have:

(120 . 25)/100 = 30 (dogs)

Another way of understanding this is that you have to find 25% of the total amount, so just take that total number and multiply it with 25% or 25/100 which is 0.25 as well, that's why we multiply it with 25 first and then divide it to 100 later.

2.

*I guess there is no need of explaining it

0.9 × 550 = 495

6 0

2 years ago

In the following problem, which step uses the additive identity to get to the next step? -18 + 73 + 18 -18 + 18 + 73 0 + 73 73 S

cluponka [151]

Answer:

Additive identity is 0.

step 3 used the additive identity property.

3. 0+73

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How many significant figures does the number 546.000 have

goblinko [34]

3? Because a significant figure includes all digits except leading zeros or trailimg zeros. So if you take the zeros away you only have 3 numbers

3 0

2 years ago