Does the number -2.675 belong to the set of integers

I need help with this

kotegsom [21]

Answer:

Here is the summary of true statements:

A) The statement of the function modeled is (0, 3) is TRUE.

D) the equation for the line function is y = 2x+3 is TRUE.

E) the given table represents the linear function is TRUE

Step-by-step explanation:

Given the table

x 1 3 5 7

y 5 9 13 17

E)

It is clear that there is a CONSTANT CHANGE in the x and y values of the graph.

THE CONSTANT CHANGE IN X VALUES

i.e. 3-1=2, 5-3=2, 7-5=2

THE CONSTANT CHANGE IN Y VALUES

i.e. 9-5 = 4, 13 - 9 = 4, 17 - 13 = 4

Thus, the given table represents the linear function is TRUE

B)

It is clear that the value of y increase as the value of x increases.

Thus, the statement ''the value of y decreases as the value of x increases'' is FALSE!

D)

We know that the slop-intercept form of the line equation is

$y = mx+b$

where m is the slope and b is the y-intercept.

Determining the equation

Taking two points

(1, 5)

(3, 9)

Finding the slope between (1, 5) and (3, 9)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [9 - 5] / [3 - 1]

= 4 / 2

= 2

Thus, the slope of the line = m = 2

now substituting m = 2 and the point (1, 5) to determine the y-intercept

y = mx+b

5 = 2(1) + b

b = 5-2

b = 3

Thus, the value of y-intercept b = 3

substituting b = 3 and m = 2 in the slope-intercept form

y = mx+b

y = 2x+3

Therefore, the equation for the line function is y = 2x+3 is TRUE

A)

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We already know that the y-intercept b = 3

It means the y-intercept modeled is (0, 3)

Therefore, the statement of the function modeled is (0, 3) is TRUE.

C)

We have already got the equation

y = 2x+3

substituting x = 8

y = 2(8)+3

y = 10+3

y = 13

so at x = 8, the value of y = 13

Therefore, the statement that the ''On a graph of the function when x = 8, the value of y will be 2'' is FALSE!

Conclusion:

Here is the summary of true statements:

A) The statement of the function modeled is (0, 3) is TRUE.

D) the equation for the line function is y = 2x+3 is TRUE.

E) the given table represents the linear function is TRUE

3 0

3 years ago

A square and a rectangle have the same perimeters.The lenght of a side of the suare is 4x-1.The lenght of the rectangle is 2x+2

Nina [5.8K]

Answer:

x=1

Step-by-step explanation:

perimeter of the square is $4(4x-1)=16x-4$

perimeter of the rectangle is $2(2x+2) + 2(2x)= 4x+4+4x=8x+4$

As rectangle and square have the same perimeter, we get that:

$16x-4=8x+4\\16x-8x=4+4\\8x=8\\x=\frac{8}{8} \\x=1$

3 0

3 years ago

Sean was at baseball batting practice. He swung 25 times and only hit the ball 15 times. So, how many times did he miss?

Lorico [155]

Answer: 10

Step-by-step explanation:

If Sean swung 25 times, and only hit the ball 15 times, he missed 10 times. 25-15=10

4 0

3 years ago

Read 2 more answers

Can someone help me on this math problem?

Verizon [17]

SOLUTION:

When looking at this diagram, you can see that CM is equivalent to AM as displayed below:

CM = AM

If:

CM = 7

Then that means that:

AM = 7

Therefore, your answer is:

AM = 7

5 0

3 years ago

The level of water in a draining pool can be modeled with the function d(t)=12(.72)^t, where d is the depth of water, measured i

BigorU [14]

Answer:

She is not correct, the claim is wrong

Step-by-step explanation:

Here, we want to check if a claim

made is correct

We can represent the exponential function as;

y = I( 1 - r)^t

So in this case;

1 - r = 0.72

r = 1 - 0.72

r = 0.28

This is same as 28%

So what this mean is that we expect a decrease of 28% per day

There are 24 hours on a day

So the decrease per hour will be 28%/24 = 1.167%

So as we can see the claim is wrong

5 0

3 years ago