If an 8 inch dimension is reduced to 2.5 inches, what is the percentage of reduction?

PLEASE HELP PRONTO IM DUMB

SOVA2 [1]

Hope this helps solve your question

4 0

3 years ago

Determine the maximum number of zeros and the x-intercepts of the function: (x^2-x-2)(3x-2)

schepotkina [342]

Answer:

3

Step-by-step explanation:

note that zeros and x-intercepts are the same with different names

There are 2 zeros from the quadratic factor and 1 from the linear factor.

To find them equate the function to zero, that is

(x² - x - 2)(3x - 2) = 0

(x - 2)(x + 1)(3x-2) = 0 ← factoring the quadratic

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

3x - 2 = 0 ⇒ x = $\frac{2}{3}$

4 0

3 years ago

From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. Wh

Brilliant_brown [7]

Answer:

Dimensions 5in x 10in x 10in will yeild a box with a max. volume of 500 cubic inches

Step-by-step explanation:

Volume = height x length x width

considering 'x' as the length of the square corners that has been cut out from the cardboard and also, that is height of the cardboard box.

square corners are cut out so that the sides can be folded up to make a box, cardboard sides would reduce by 2x

therefore,

V = x (30-2x) (30-2x) ---> eq(1)

V=( 30x - 2x²) (30-2x)

V= 900x- 60x² - 60x² + 4x³

V= 4x³ - 120 x²+ 900x

Taking derivative w.r.t 'x'

dV/dx = 12x² - 240 x +900

dV/dx = 4 (3x² - 60x +225)

For maximum dV/dx, make it equal zero

dV/dx = 0

so, 4 (3x² - 60x +225)=0

3x² - 60x+225=0 (taking 3 common)

x² - 20x + 75 =0

Solving this quadratic equation

x² - 15x -5x + 75 =0

x(x-15) - 5(x-15) =0

Either (x-15)=0

x=15

Or x-5=0

x = 5

if we substitute x=15 in eq(1), volume becomes zero.

therefore, x cannot be 15

When x= 5

eq(1)=>V = 5 (30-2(5)) (30-2(5))

V= 5 (10) (10)

V= 500 cubic inches,

Therefore, Dimensions 5in x 10in x 10in will yeild a box with a max. volume of 500 cubic inches

7 0

3 years ago

You have 19 digs for your current volleyball season. There are 5 games left in the season. You want to break your previous recor

Charra [1.4K]

Answer:We must get more than 7 digs in the remaining 5 games to break record of 26.

Step-by-step explanation:

Given situation:- Let x represents the number of digs which we must get in the remaining 5 games to break your record ,and we have 19 digs for our current volleyball season.

To break previous record of 26 digs in a season, we have to get more than 26 i.e. 19 digs added to x must be greater than 26

⇒x+19 ≥ 26

⇒x≥26-19⇒x≥7

Therefore,we must get more than 7 digs in the remaining 5 games to break record of 26.

4 0

3 years ago

Find the value of each variable in the parallelogram

wlad13 [49]

Answer:

B= 90

C= 80

D= 100

Step-by-step explanation:

So let’s start with the bottom angles.

We know that the adjacent angles in a parallelogram add up to 180° so our equation would be $(b-10) + (b+10)=180$ . So let’s simplify it b and b are both the same variables so we will get 2b and -10 + 10 is 0 so we get the following equation $2b=180$ .

So now we divide 180 and 2 and we get 90 as b.

So one side will be 100 because of the +10 and the other 90 because of the -10.

Now for the next side.

$d+c=180$

So we know that b+10 is adjacent to c so 180-100 is 80, so 80 is c.

Now for d.

b-10 is 80 so 180-80 is 100, so d is 100.

7 0

3 years ago