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3 years ago

Which inequality correctly matches the graph?

Mathematics

1 answer:

k0ka [10]3 years ago

4 0

Answer:

The inequality correctly matches the graph is -2 < x < 4 ⇒ B

Step-by-step explanation:

From the given figure

∵ There is a segment drawn from -2 to 4

∴ The starting point of the inequality is -2

∴ The ending point of the inequality is 4

∵ The endpoints of the segments are white circles (not shaded)

→ That means the signs of inequality without sign =

∴ The values of x are between -2 and 4

∴ The inequality is -2 < x < 4

∴ The inequality correctly matches the graph is -2 < x < 4

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y=−8x−3 x+y=7 Is (3,4) a solution of the system?

Elden [556K]

Answer:

Step-by-step explanation:

The given point does not satisfy the first equation.

y = -8(3) -3 = -27

4 ≠ -27 . . . . . the first equation is not satisfied.

5 0

3 years ago

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Suppose that 2000 is invested at a rate of 2.4% , compounded semiannually. Assuming that no withdrawals are made, find the total

gtnhenbr [62]

Answer:

$2479.02

Step-by-step explanation:

The invested amount is $2000 at a rate of 2.4% which compounds semiannually.

Therefore, the semiannual interest rate is $\frac{2.4}{2} = 1.2$ %.

Then the principal is compounded (9 × 2) = 18 times within a period of 9 years.

If there is no withdrawal from the account, then after 9 years the sum will become

$2000(1 + \frac{1.2}{100} )^{18} = 2479.02$ dollars {Rounded to the nearest cent} (Answer)

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3 years ago

James has an ice cube tray that makes ice in the shape of spheres rather than cubes. Each sphere of ice has a radius of 222 cm.

patriot [66]

Answer:

Try dividing 666 and 222

you should get three

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3 years ago

A car entering the freeway accelerates from 10.2 m/s with a constant acceleration of 4.4 m/s 2 . What is the car's final velocit

Ilya [14]

Givens

a = 4.4 m/s^2 This is an acceleration and is positive.

vi = 10.2 m/s

t = 4.2 seconds

vf = ????? The cruising speed in this case is vf.

Formula

a = (vf - vi)/t Notice the 3 givens and what you seek determine the formula

Solve

4.4 m/s^2 = (vf - 10.2)/4.2 Multiply both sides by 4.2

4.4 * 4.2 = vf - 10.2

18.48 = vf - 10.2 Add 10.2 to both sides

18.48 + 10.2 = vf 8.28 is the second best answer.

28.68 = vf This is your cruising speed.

C <<<< Answer

8 0

3 years ago

Container A has radius r and height h . It holds a maximum of 44 ounces of water. Container B has radius 2.5r and height 4h .

Dennis_Churaev [7]

Set an equation:

$\pi r^{2} h$ =44
divide both sides by 3.14
$r^{2} h$ =14

$\pi (2.5r)^{2} 4h=x$
divide both sides by 6.25, 4, and 3.14
$r^{2} h$ =x/78.5

Since these two equations are equal, we can set them up that way.

x/78.5=14
multiply both sides by 78.5
x=1099

Answer: The maximum amount of water that container B can hold is 1,099 ounces.

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4 years ago

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