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3 years ago

Distribute 6(c - 3)?

Mathematics

1 answer:

Ilya [14]3 years ago

7 0

Answer: The blue diamond "6c-18"

Step-by-step explanation:

Because the 6 would distribute with the c, so 6c, then it would distribute with the 3, which would be 18, because 6x3=18. Then the equation becomes 6c-18

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ivann1987 [24]

9514 1404 393

Answer:

large: 55 lb
small: 30 lb

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...

x + y = 85 . . . . . combined weight of a large and small box

70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes

We can subtract 50 times the first equation from the second to find the weight of a large box.

(70x +50y) -50(x +y) = (5350) -50(85)

20x = 1100 . . . . simplify

x = 55 . . . . . . . divide by 20

Using this in the first equation, we can find the weight of a small box.

55 +y = 85

y = 30 . . . . . . . subtract 55

A large box weighs 55 pounds; a small box weighs 30 pounds.

4 0

3 years ago

Measuring the speed of sound in the ocean is an important part of marine research. One application is the study of climate chang

dalvyx [7]

Answer:

A linear formula for S as a function of D is S=17D+1534

Step-by-step explanation:

We are supposed to find a linear formula for S as a function of D.

Equation of line : y = mx+c

We are given that At the surface, the speed of sound is 1534 meters per second.

c = 1534

We are given that for each increase in depth by 1 km, the speed increases by 17 m/s

So, Slope = m = 17

Substitute the values in equation

y=17x+1534

x denotes depth

y denotes speed

We are given that Use D for depth and S for the speed of sound

So, S=17D+1534

Hence a linear formula for S as a function of D is S=17D+1534

7 0

3 years ago

PLEASE HELP ME! THANK YOU!

Elza [17]

9514 1404 393

Answer:

-5/2

Step-by-step explanation:

The average rate of change is the slope of the line between the two points. You can see from the graph that the slope is ...

slope = rise/run = -5/2

The average rate of change on the interval is -5/2.

7 0

3 years ago

Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation

Musya8 [376]

Answer:

Step-by-step explanation:

we have the following differential equations

$\frac{dx}{dt}=-2y\\\frac{dy}{dt}=-2x\\$

by differentiating the second equation we have

$\frac{d}{dt}(\frac{dy}{dt})=-2\frac{dx}{dt}\\\frac{d^{2}y}{dt^{2}}=-2\frac{dx}{dt}\\\frac{dx}{dt}=\frac{-1}{2}\frac{d^{2}y}{dt^{2}}$

and we replace dx/dt in the first equation

$\frac{-1}{2}\frac{d^{2}y}{dt^{2}}=-2y\\\frac{d^{2}y}{dt^{2}}-4y=0$

and by using the characteristic polynomial

$m^{2}+4=0\\m=\±2i$

the solution is

$y(t)=Acos(2t)+Bsin(2t)$

and to compute x(t) we have

$\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)$

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

$x(0)=B=4\\y(0)=A=3$

I hope this is useful for you

regards

4 0

3 years ago

Read 2 more answers

Which is equivalent to the expression below?

OleMash [197]

To find the answer, combine like terms:

3p + p = 4p

4 + 12 = 16

3q has no like terms so it stays the same.

Now put them all together:

4p + 3q + 16 = Option A).

8 0

4 years ago