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2 years ago

Factorise fullyc^3+ c^2

Mathematics

1 answer:

n200080 [17]2 years ago

5 0

Answer:

c^2( c+1)

Step-by-step explanation:

c^3+ c^2

The greatest common factor is c^2

c^2( c+1)

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d(t)=750t/(t+12) where t is the age in years and d is the dosage. what is an expression for the rate of change of a child's dosa

Maksim231197 [3]

This just wants the derivative which you can solve for.
You can do this using a negative expononet or using ...the rational rule forget its name*.... you shoudl get 9000/(t+12)^2

*Quotient rule

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2 years ago

Find the geometric mean of 2 and 3

Sav [38]

The first step in solving this problem is taking 2 and 3 and multiplying them (2 * 3 = 6) .
Now, for the second step, we will cube it. Since there are 2 numbers, we are going to use the 2nd root (2sqrt(6)) This will give us: 4.89897948557 or 5 if you would round it. This would be the Geometric Mean.

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3 years ago

A submarine started at 750 meters below sea level. It rose 50 meters per hour over a 4-hour period. Which expression represents

Cerrena [4.2K]

Answer:

$y(t) = 750 -50t$

Step-by-step explanation:

We want to model the position of the submarine as a function of time.

Notice that we have a constant amount. The initial depth: 750 meters

Then we have a factor that varies over time. Every hour the submarine ascends 50 meters. therefore as t increases the depth y(t) of the submarine decreases. Then the factor is:

-50t.

Where t represents the time in hours.

Then the equation that represents the new position of the submarine in relation to the level of the sea:

$y(t) = 750 -50t$

4 0

2 years ago

Read 2 more answers

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Smitha answered all

Ymorist [56]

Answer:

15 answers

Step-by-step explanation:

To solve this question we need to set up an equation.

Let's name the number of incorrect answers x.

We can set up an equation that's essentially:

(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score

When we plug in our numbers and variables it looks like this:

5(3)+(-2x)=-15

Simplify

15-2x=-15

Subtract 15 from both sides

-2x=-30

Divide both sides by -2

x=15

This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.

6 0

1 year ago

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

the answer Part 1) is the option A

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

The system has no solution

therefore

the answer Part 2) is the option D

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

the answer part 3) is the option D

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

the answer part 4) is the option D

$y=412$

8 0

2 years ago

Read 2 more answers

Factorise fullyc^3+ c^2​

Factorise fullyc^3+ c^2