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2 years ago

1.) Is f(x)=2x^3 + 2x and odd function

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

8 0

Answer:

yes, no, no

Step-by-step explanation:

For odd functions : −f(x) = f(−x) for all x

For even functions :f(x) = f(−x) for all x

1) -f(x)= -2x^3 -2x

f(-x) = -2x^3-2x

yes

2 ) f(-x) = 5x^3 -4 ≠ f(x)

3 ) f(-x) = -4x -4 ≠ f(x)

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Compare and Contrast Graph y = 2x + 5 and y=-13x+5. Describe how these lines are alike and how they are different. *

krek1111 [17]

Here are a couple I found:

Similarities:

They have the same y-intercept of (0,5).
They are both in slope-intercept form.

Differences:

The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
They have different x-intercepts. (y = 2x + 5 intersects (- $\frac{5}{2}$ , 0) while y = -13x + 5 intersects at ( $\frac{5}{13}$ , 0)

Explanation:

Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).

As for differences, we can see that the coefficient in place of that "m" is positive in y = 2x + 5 and negative in y = -13x + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.

4 0

2 years ago

Solve i=Prt for t, if i=105,p=700,and r=0.05

Katen [24]

3675. You multiply 105 700, then you multiply the answer by 0.05.

5 0

3 years ago

Read 2 more answers

which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x?

lianna [129]

Answer is the second graph

The more payments you pay, the less money you owe.

4 0

3 years ago

Read 2 more answers

Try it Solve the system of equations. 2x + 3y = 1 5x + 2 = 8 What is the solution?

Stella [2.4K]

Answer:

x=6/5 ,y= -7/15

Step-by-step explanation:

we are going to solve this simultaneously.

2x+3y=1.......(i)

and

5x+2=8

5x=6

x= 6/5 .......(ii)

Now let's put value of x into equation number (i)

2x+3y=1

2(6/5) +3y=1

12/5 +3y =1

3y= 1-(12/5)

3y = -7/5

y = (-7/5) ÷3

y= -7/15

3 0

3 years ago

Businesses deposit large sums of money into bank accounts. Imagine an account with 10 million

Nikitich [7]

Answer:

The account will earn in one year the amount of $10,512,000

Step-by-step explanation:

Given as :

The principal in the account = $10,000,000

The rate of interest = 5.12% at simple interest

The time period = 1 years

Let The amount that account earn after 1 year = $A

From Simple interest method

Simple interest = S.I = $\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}$

or, S.I = $\dfrac{\textrm 10,000,000\times \textrm 5.12\times \textrm 1}{100}$

or, S.I = $\dfrac{51200000}{100}$

or, S.I = $512,000

So, Simple interest = S.I = $512,000

Now, Amount = Principal + Interest

I.e A = $10,000,000 + $512,000

Or, A = $10,512,000

So, Amount = A = $10,512,000

Hence The account will earn in one year the amount of $10,512,000 Answer

8 0

3 years ago