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2 years ago

G2 – 4g – 21 = (g – )(g + )

Mathematics

2 answers:

Sloan [31]2 years ago

8 0

<span>g^2 – 4g – 21 = (g – 7)(g +3 )

hope it helps</span>

Ksenya-84 [330]2 years ago

8 0

Answer:

7 and 3

Step-by-step explanation:

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What is the value of the expression 9w+5x when w=8 and x=4

Ivenika [448]

Answer:

Step-by-step explanation:

You do (9x8) + (5x4). 9x8 = 72 and 5x4=20. add 72 and 20 and get 92!

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2 years ago

Which pairs of numbers has have a greatest common factor of 7

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14

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3 years ago

Alex is 22 years older than Lana. Four years ago Lana’s age was one-half of Alex’s current age. How old was Alex four years ago?

katen-ka-za [31]

Answer:

Step-by-step explanation

22 divided by 2 is 11

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2 years ago

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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

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

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2 years ago

What is the slope of the line that passes through the point 3,5 and -2,2

Nostrana [21]

Answer:

3/5

Step-by-step explanation:

Slope=

$\frac{y2 - y1}{x2 - x1}$

slope =

$\frac{2 - 5}{ - 2 - 3}$

$\frac{3}{5}$

8 0

3 years ago