For the Relation (3,0), (4,-1), (5,-2), (6,-3) what is the range?

Can someone please help me with question 6

olasank [31]

Answer:

5323

Step-by-step explanation:

453

7 0

3 years ago

Is the following function even, odd or neither? f(x)=x^3 +4x

erica [24]

Answer:

D, neither

Step-by-step explanation:

to determine whether a function is even, odd or neither, we need to know what it means

an even function is symmetric with respect to the y-axis

an odd function is symmetric with respect to the origin

to solve an equation to see if its even or odd, we would need to substitute <em>x</em> in the equation for <em>-x</em>.

in an even function when we substitute f(-x), it should be equal to to f(x)

in an odd function when we substitute f(-x), it should be equal to -f(x)

so lets test the function given to see if its even

f(x) = x³ + 4x

f(-x) = (-x)³ + 4(-x)

f(-x) = x³ - 4x

f(-x) = x³ - 4x ≠ f(x) = x³ + 4x

comparing this to the orignal function, we see that f(-x) = x³ - 4x is not even as we did not get the same output as the original function

now we should test to see if its odd. we have already seen what f(-x) is, now lets try -f(x) and compare it to f(-x) and f(x)

-f(x) = -(x³ + 4x) -->

-f(x) = -x³ - 4x ≠ f(-x) = x³ - 4x

f(-x) = x³ - 4x ≠ f(x) = x³ + 4x

comparing this to f(x) and f(-x), we see that it not odd as we did not get the same output

so the answer is D, neither even nor odd

6 0

4 years ago

A girl throws a 2 kg rock with a net force of 6 N. What is the acceleration of the rock?

krek1111 [17]

Answer:
acceleration = 3 m/s²

Explanation:
From Newton's second law:
Force = mass * acceleration
We are given that:
Force = 6 Newton
mass = 2 kg

Substitute with the givens in the above equation to get the acceleration as follows:
Force = mass * acceleration
6 = 2 * acceleration
acceleration = 6 / 2 = 3 m/s²

Hope this helps :)

8 0

3 years ago

A regression analysis of 117 homes for sale produced the following model, where price is in thousands of dollars and size in squ

Vsevolod [243]

Answer:

A) m = 0.062

B) 202.87 thousand dollars

C) Original price = 116.07 thousand dollars. $6000 is called the error term.

Step-by-step explanation:

We are given the following in the question:

Price = 47.87+0.062(size)

The above equation is regression equation where price is in thousand dollars and size in square feet.

Let p be the prize and s be the size.

$p(s) = 47.87 + 0.062s$

Comparing it to linear equation, we have,

$y= mx + c$

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

m = 0.062

c = 47.87

A) slope of the line

The slope of line tells the rate of change. Thus, it tells the change in price if the size of house is increased by 1 square feet.

The price of house increases by 0.062 thousand dollars if the size of house is increased by 1 square feet.

B) Price of house

We are given s = 2500. Putting this value in the equation.

$p(2500) = 47.87 + 0.062(2500) =202.87$

Thus, the price of a 2500 square feet house is 202.87 thousand dollars.

C) We are given s = 1100

Putting the value in the equation:

$p(1100) = 47.87 + 0.062(1100) =116.07$

Original price = 116.07 thousand dollars

Asking price =

$116.07 - 6 = 110.07$

The buyer is asking for 110.07 thousand dollars.

$6000 is called the error term.

3 0

3 years ago

beena has a cumulative deposit account rs.400 per month at 10% per annum simple interest. if she gets rs.30100 at the time of ma

Dima020 [189]

Answer:T=1.54yr

Step-by-step explanation:

Formulate for simple interest

I=prt/100

T=100I/pr

T=100×400×12/30100×10

T=1.54yr

6 0

4 years ago