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2 years ago

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.

Mathematics

2 answers:

sveticcg [70]2 years ago

4 0

I think the answer would be y=1.4x

irakobra [83]2 years ago

4 0

Answer:

its 2.2x and 3x

Step-by-step explanation:

I am in k12 too, which i am assuming you are? if graph B is bigger then graph A and on graph A the relationship is (1,2) so for every 1 you go 2 than on graph B everything over 2 is bigger.

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A baseball is thrown up in the air. The table shows the heights y (in feet) of the baseball after x seconds.

kogti [31]

Answer:

Ok, we know that the baseball will have an equation like:

h(x) = a*x^2 + b*x + c

Where x represents time, and h(x) represents height.

Let's construct it:

The acceleration is:

a(t) = a

For the velocity, we can integrate over time and get:

v(x) = a*x + v0

where v0 is the initial vertical velocity.

and for the position (or the height) we can integrate again:

h(x) = a*x^2 + v0*x + h0

Where h0 is the initial position.

Then our equation is:

h(x) = a*x^2 + v0*x + h0.

Now let's look at the table:

when x = 0s, h(0s) = 6ft

Then:

h(0s) = a*0s^2 + v0*0s + h0 = 6ft

h0 = 6ft.

We also can see that:

h(2s) = h(4s)

Knowing that the quadratic function has symmetry around a point, we can conclude that the point of symmetry is right in between of 2s and 4s, which is at x = 3s.

Now, for a standard quadratic equation:

a*x^2 + b*x + c

The symmetry line is at:

x = -b/2a

In this case:

b = v0

a = a

then we have:

3s = -v0/(2*a)

v0 = -3s*(2a)

Now we have all the data that we need for our equation, we can write it as:

h(x) = a*x^2 - 6s*a*x + 6ft

Now we have only one variable left, we know that at x = 2s, h(2s) = 22ft

then:

h(2s) = 22ft = a*(2s)^2 - 6s*a*2s + 6ft

22ft - 6ft = 16ft = a*(4s^2 - 12s^2) = a*(-8s^2)

16ft/(-8s^2) = a = -2ft/s^2

Then our equation is:

h(x) = (-2ft/s^2)*x^2 + (12ft/s)*x + 6ft

b) The height after 5 seconds is given by:

h(5s) = (-2ft/s^2)*(5s)^2 + (12ft/s)*5s + 6ft = 16ft

7 0

2 years ago

Which inequality represents this situation?

Veseljchak [2.6K]

Answer:

Option D. 1.29x + 1.35y ≤ 12

Step-by-step explanation:

Nick is making a fruit salad.

He buys apples per pound for = $1.29

He buys oranges per pound for = $1.35

He spend no more than $12.00 or we can say less than equal to $12

Let x represent the number of pounds of apples that Nick buys and y represent the number of pounds of oranges.

Cost of x pounds of apples = $1.29x

Cost of y pounds of oranges = $1.35y

Total cost = 1.29x + 1.35y

Total cost should be less than equal to $12.00

Therefore, inequality will be 1.29x + 1.35y ≤ 12

Option D. is the answer.

3 0

2 years ago

Read 2 more answers

Aster sold 18 oranges. If these are 12% of her total oranges are not sold

Mariulka [41]

answer is 132

because the whole amount of the oranges is 150 so the unsold 82 percent will be 132

6 0

1 year ago

Read 2 more answers

A newspaper carrier 5 homes each day if he collects $2 from each home how many days will it take him to collect $30

Vika [28.1K]

Answer:

Step-by-step explanation:

5*2 is 10 a day

3 days is 39 dollars

8 0

2 years ago

Read 2 more answers

11 Points Estimate the average by first rounding to the nearest 1,000: 1,000 2,300 2,600

iragen [17]

Answer:

Average = 2000

Step-by-step explanation:

Given numbers are:

1,000 2,300 2,600

To find:

First round off the numbers to nearest 1000 and then find Average.

Solution:

1000 is already in thousands so no need to round off.

To round off a number to nearest thousand, we need check the digit on hundred's place.

If the hundred's digit is greater than 5, we increase the thousand's digit by 1 and make the hundred's digit as 0.

If the hundred's digit is lesser than 5, the thousand's digit remains the same and we make the hundred's digit as 0.

So, 2300 will be rounded off as 2000.

and 2600 will be rounded off as 3000.

Now, the numbers whose average is to be calculated are 1000, 2000, 3000.

Formula for average is given as:

$Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}$

applying the formula:

$Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}$

So, the average after rounding off to nearest 1000 is 2000.

7 0

2 years ago