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Andrei [34K]
2 years ago
8

(x+4)^2 - (x-6)^2 - (x-1)*(x+1)

Mathematics
1 answer:
Murrr4er [49]2 years ago
3 0

Answer:

-9

Step-by-step explanation:

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0.4(2-q=0.2(q+7) hurry please
Lerok [7]

Answer:

q=-1

Step-by-step explanation:

.8-.4q=.2q+1.4

-.2q       -.2q

.8-.6q=1.4

-.8         -.8

-.6q= 0.6

/-.6    /-.6

q= -1

5 0
3 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
HELP ME HELP HELP HELP ME
Elenna [48]

Answer:

True ( A )

Step-by-step explanation:

4 ( 5 ) - 2 =  2 ( 5 ) + 8

20 - 2 = 10 + 8

18 = 18

This is a correct statement because 18 does equal 18

5 0
3 years ago
Read 2 more answers
Um I need help with thissss
Vladimir [108]

Answer:

its you again

Step-by-step explanation:

if they have the same amount of dashes on the same sided they are congruent

does that answer your question

6 0
2 years ago
Read 2 more answers
I need help asap please
Anna [14]

Answer:

-3 or decreasing by 3

Step-by-step explanation:

To find the average change, you only care about the first and last point which would be (3,17) and (8,2)

the overall change during that time is 2-17=-15 (for the f(x) side )

the overall change during that time is 8-3=5(for the x side)

all we have to do is -15/5=-3

therefore the average rate of change is -3

5 0
3 years ago
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