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tiny-mole [99]
2 years ago
7

Please help me figure this work sheet out

Mathematics
1 answer:
soldi70 [24.7K]2 years ago
4 0
I’ve attached my work!
Hope it helps :)
If you have any questions or anymore help lmk, happy to help with any school work!!
Have a nice day
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62 is divisible by which of the following numbers
SVEN [57.7K]

Answer:

D.

Step-by-step explanation:

4 0
3 years ago
Differentiate f(x) = \frac{x^{3}-4 x+1}{x^{3}}.
miv72 [106K]
f(x) = \frac{x^{3}-4 x+1}{x^{3}}\\
f'(x)=\frac{(3x^2-4)\cdot x^3-(x^3-4x+1)\cdot3x^2}{x^6}\\
f'(x)=\frac{x^2(3x^3-4x-3x^3+12x-3)}{x^6}\\
f'(x)=\frac{8x-3}{x^4}\\

7 0
3 years ago
What is the expression of 5 times the difference between 19 and 13
saveliy_v [14]

Answer:

5 x 6

Step-by-step explanation:

5 0
3 years ago
If you divide one of the roots of the equation 4x2+bx−27=0 by the other root, the quotient will be −3. Find b.
klio [65]
<h3>Answer:</h3>

  ±12   (two answers)

<h3>Explanation:</h3>

Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:

  (<em>a</em>)(-3<em>a</em>) = -27/4

  <em>a</em>² = -27/(4·(-3)) = 9/4

  <em>a</em> = ±√(9/4) = ±3/2

Then the other root is

  -3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs

We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...

  -(a + (-3a)) = b/4

  2a = b/4

  b = 8a = 8·(±3/2)

  b = ±12

_____

<em>Check</em>

For b = 12, the equation factors as ...

  4x² +12x -27 = (2x -3)(2x +9) = 0

  It has roots -9/2 and +3/2, the ratio of which is -3.

For b = -12, the equation factors as ...

  4x² -12x -27 = (2x +3)(2x -9) = 0

  It has roots 9/2 and -3/2, the ratio of which is -3.

4 0
3 years ago
What is the perimeter of rectangle QRST ?<br> If QR = 5 and RS = 10
vovikov84 [41]

The perimeter of the rectangle is all the side lengths added up

Perimeter = 5 + 10 + 5 + 10 = 30

Hope that helps!

7 0
2 years ago
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