Hello!

Let's subtract the eight DVDs Joe received as gifts, because he didn't buy them on his own.

35 - 8 = 27

Now, divide the remaining CDs by the 3 years he collected his DVDs in.

27 ÷ 3 = 9

A N S W E R:

Joe bought 9 DVDs last year.

Good day!

8 0

3 years ago

From first principle find the derivative of logx

Archy [21]

Hello!

$\large\boxed{\frac{dy}{dx}logx = \frac{1}{xln10} }$

Recall that:

$logx$ can be rewritten as:

$log_{10}x$

Use the equation for the derivative of a log expression:

$\frac{dy}{dx}log_{a}u = \frac{1}{ulna} * u'$

Substitute in the values in the expression:

$logx = \frac{1}{xln10} * 1 = \frac{1}{xln10}$

4 0

2 years ago

Write an equation in standard form of a quadratic function that has x-intercepts -2 and 5 and k=-4

bulgar [2K]

Answer:

-2x + 5 = -4k

Step-by-step explanation:

8 0

3 years ago

Find the value of the variable if P is between J & K. A) JP = 8z - 17 B) PK = 5z + 37 C) JK = 17z - 4

Daniel [21]

We cannot deduce about the exact location of P between J and K. But we can conclude: segment JP + segment PK = line JK.
JP + PK = JK.
Substitute first each.
(8z - 17) + (5z + 37) = 17z - 4
Combine like terms.
13z + 20 = 17z - 4
Isolate the variable z.
4z = 24
z = 6
The value of the variable z is then 6 units.

3 0

2 years ago

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