All categories

2 years ago

Solve 2(1-x)>2 .....

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

8 0

2(1-x)>2

1-x>1

-1+x<-1

X<0

You might be interested in

Which expression is equivalent to 36 ÷ 4? 4 ÷ 36 36 ÷ x 36 x

denis23 [38]

Answer:

36 x 1/4

Step-by-step explanation:

divide sign can be written in the form 1/x. so by the above equation it means that 36 ÷ 4 = 36 x 1/4

7 0

3 years ago

The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

6 0

3 years ago

A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha

grin007 [14]

Answer:

The radius of the pie is 6.17 in.

Step-by-step explanation:

The formula for arc length as a function of radius is

s = r·Ф, where Ф is the central angle in radians.

Here we know that the arc length is 7.85 in. Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is

2π / 8, or π /4 (radians).

thus, s = r·Ф, solved for r, is r = s/Ф

and in this instance r = (7.85 in)/(π/4). Evaluating this, we get:

r = 6.17 in

The radius of the pie is 6.17 in.

8 0

3 years ago

The sum of two numbers is 62, and their difference is 12. What are the numbers?

nordsb [41]

X+y=62 ; x-y=12 Solve for x in one equation and plug that value into the other equation. ===> x=12+y ; 12+y+y=62 Subtract 12 to both sides (2y=50), then divide by 2 to find y (y=25). Now, plug 25 as y into x=12+y, getting x=37. Your two numbers are 37 and 25.

6 0

3 years ago

Read 2 more answers

Assume your gross pay per pay period is $2,300.00 and you are in the 28 percent tax bracket. Calculate your net pay and spendabl

tatiyna

1,400 js the answer
I have it for a class
Explanation
Bababoey

3 0

3 years ago