Which of these operations is not closed for polynomials?

oil is leaking out of a tank. the depth of oil in the tank for 60 seconds is shown below. use the graph to work out the rate of

FrozenT [24]

Answer:

Step-by-step explanation:

draw a tangent starting from (0,80) and touches at (10,60)... Example attached if needed... Good Luck! ;)

3 0

4 years ago

please help me with these problems.... please answer all the questions with the method I already started with... due at 11:59pm

dolphi86 [110]

Step-by-step explanation:

Howdy, did you do a, b, and c by yourself? Because there are some slight issues, so I'll do my best to explain.

a. 3x+5x

We know that x=2, so we can substitute 2 in for x right now, or we can combine like terms.

3x and 5x both have the variable x so we can add them easily to get 8x. If you substitute in 2, you're just multiplying 8×2, which is 16.

b. 5z+4z+z

Again, since

we know that z=-3, we can substitute in now, or we can combine like terms first. 5z, 4z, and z all have the variable x, we addition is easy. 5+4+1=10, so you'll have 10z. Substitute in -3 for z, and you're just multiplying 10×-3=-30

c. 3x+6+5x

This is trickier since 6 doesn't have the variable x. So to combine like terms means to only add 3x and 5x. So the equation will turn out looming like 8x+6. now substitute in 2 for x and you get

8(2)+6

16+6

22

d. 8y+8-4y

Combine like terms

4y+8

substitute in 5 for y

4(5)+8

20+8

28

e. 5z-4z+z

combine like terms

z+z

2z

substitute -3 for z

2(-3)

-6

f. 3x+6+5x-2

combine like terms

(so that's 3x+5x and 6-2)

8x+4

substitute in 2 for x

8(2)+4

16+4

20

g. 8y+8-4y-3

combine like terms

8y-4y+8-3

4y+5

substitute in 5 for y

4(5)+5

20+5

25

h. 5z-4z+z-3z

combine like terms

-z

substitute in -3 for z

-(-3)

double negatives make a positive

3

6 0

3 years ago

Solve the system of equations Please help me! It would honestly mean so much to me! Thank you !

slega [8]

Answer:

(x, y) = (-3, 5)

Step-by-step explanation:

There are many ways to solve a system of two equations with two unknowns. Almost all of them involve reducing the system to one equation in one unknown. (Graphical solution, as in the attachment, bypasses that algebraic manipulation.)

In general, the first step is to look at the equations to see if ...

one is of the form x = ( ) or y = ( )
the coefficients of one of the variables are opposites
the coefficients of one of the variables are related by a simple number.

If the first condition is true, then the system may be easily solved by "substitution." The expression you have for one of the variables can be substituted for that variable in the other equation.

If the second condition is true, you can add the equations to eliminate the variable with opposite coefficients. (Opposites add to give zero.)

Here, the third condition holds: the coefficient of x in the first equation (4) is simply related to the coefficient of x in the second equation (8) by a factor of 2.

___

So, we can eliminate the x-variable from the system of equations by multiplying the first equation by -2 and adding that result to the second equation:

-2(4x +2y) +(8x +5y) = -2(-2) +(1)

-8x -4y +8x +5y = 4 +1 . . . . eliminate parentheses

y = 5 . . . . . . . . . . . . . . . . . . . collect terms

Now, we can substitute this value into either equation to find the value of x. Using the first equation, we get ...

4x +2(5) = -2

4x = -12 . . . . . . . subtract 10

x = -3 . . . . . . . . . divide by 4

The solution to the system of equations is (x, y) = (-3, 5).

5 0

3 years ago

Two employees are painting a boat. One uses ¾ gallon of paint each hour, one uses 1 ⅔ gallon of paint every 2 hours. How much pa

Ad libitum [116K]

<h2>Hello!</h2>

The answer is:

First employee: 3 gallons

Second employee: 3 1/3 gallons

Total: $3+3\frac{1}{3}=3+\frac{10}{3}=\frac{19}{3}$

From the statement we know:

First employee uses 3/4 gallon each our, for 4 hours the will use:

$\frac{3}{4}*4=\frac{12}{4}=3 gallons$

Second employee uses 1 2/3 (5/3) gallon every 2 hours, meaning 5/6 gallon each hour.

$\frac{5}{6}*4=\frac{20}{6}=\frac{10}{3}=3\frac{1}{3}gallons$

Remember, to sum (algebraic sum) fractions we should follow the next steps:

First: Multiply both fractions denominators by each other in order to get the denominator of the new fraction.

Second: Multiply the numerator of the first fraction by the denominator of the second fraction.

Third: Multiply the denominator of the first fraction by the denominator of the second fraction.

Fourth: Sum (algebraic sum) each result and divide it into the number obtained from the first step (denominator of the new fraction).

Example:

$3+\frac{1}{3} =\frac{(3*3)+(1*1)}{3*1}=\frac{9+1}{3}=\frac{10}{3}$

Have a nice day!

5 0

3 years ago

Determine the annual percentage rate (APR) for a tax refund anticipation loan based on the following information. (Round to the

loris [4]

Answer:

The correct answer is D. 500%

Step-by-step explanation:

Amount of Loan = $985

Total fees paid = $135

Term of loan = 10 days

First divide the amount of loan by total fees paid :

$=\frac{985}{135}\\\\=0.137$

Now, multiply the result by 365 :

= 0.137 × 365

= 50.03

Divide the result obtained by term of loan that is 10 days :

$=\frac{50.03}{10}\\\\=5.003$

Now, multiply this by 100 to get the final APR :

= 5.003 × 100

= 500%

Hence, The correct answer is D. 500%

7 0

3 years ago