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Lerok [7]
2 years ago
8

What is 15(2x – 3y + 5x) = ?

Mathematics
1 answer:
bekas [8.4K]2 years ago
6 0

Answer: 105x + -45y

Step-by-step explanation: Since there are three terms inside the parentheses in this problem, the 15 distributes through all three terms.

Before distributing however, change the -3y to plus a negative 3y.

So we have 15(2x) + 15(-3y) + 15(5x).

This simplifies to 30x + -45y + 75x.

Now combine like terms to get 105x + -45y.

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What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?
CaHeK987 [17]

Answer:

64π m³

Step-by-step explanation:

The general formula for the volume of a cylinder:

V = πr²h, where 'r' is the radius and 'h' is the height

In the given problem, the radius is equal to 4 m and the height is equal to 4 m.  Plugging these values into the equation:

V = π4²(4) = π16*4 = 64π m³

5 0
3 years ago
Jennifer jogged at a rate of 3/5 mile every 6 minutes. what was her jogging rate in miles per hour
alexgriva [62]

Answer:

she jogged for 35 hours

Step-by-step explanation:

6×5 6+5=11 11+6=17 17+6=23 23+6=29 29+6=35

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3 years ago
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Allushta [10]

Answer:

The other equation should be y= -5/3x +3 comment

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Step-by-step explanation:

Brainliest?!?!?

6 0
3 years ago
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The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f
Montano1993 [528]

f'(x)=\dfrac{4x}{1+7x^2}

Integrating gives

f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx

To compute the integral, substitute u=1+7x^2, so that \frac27\,\mathrm du=4x\,\mathrm dx. Then

f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C

Since u=1+7x^2>0 for all x, we can drop the absolute value, so we end up with

f(x)=\dfrac27\ln(1+7x^2)+C

Given that f(0)=10, we have

10=\dfrac27\ln1+C\implies C=10

so that

\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}

7 0
3 years ago
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Gre4nikov [31]
Integers are positive and negative whole numbers. Integers between -5 and 3 are -4, -3, -2, -1, 0, 1, 2
5 0
2 years ago
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