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irga5000 [103]
3 years ago
8

What effect does the "a" value have on the function f(x)=log(x)

Mathematics
1 answer:
Leni [432]3 years ago
5 0
I would guess they're referring to some general form first<span>f(x)=alog(x−h)+k</span>Where 'h' represents horizontal shifts, 'k' vertical shifts and 'a' stretches the function. "a" will also reflect the function across the x-axis if the value is negative. But NOT across the y-axis. I hope that's the place they wanted to put the a at least
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Choose two number sentences below that equal 39:
Vanyuwa [196]
A, because 71-32 is equal to 39
C, because 85-46 is also equal to 39
7 0
2 years ago
What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

5 0
3 years ago
PLEASE HELP........ PLEASEE
Sonbull [250]
The equation is linear
5 0
3 years ago
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Which of the following is part of the solution to the trigonometric inequality sec(2x) &lt;-1 over the interval 0
valentina_108 [34]

Answer:

c. 2pi/3

Step-by-step explanation:

Took the test and got it right

4 0
3 years ago
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14. Given: 5x + 4y = 24, x + 7y= 11; Prove: y= 1<br> Statements<br> reasons
Semenov [28]

Answer:

Step-by-step explanation:

We can use the process of elimination as

5x + 4y = 24

5(x + 7y = 11) —>          5x + 35y = 55

5x + 4y = 24

-(5x + 35y = 55)

—————————

-31y = -31

-31y/-31 = -31/-31

y=1

4 0
3 years ago
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