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3 years ago

Identify the graph of the compound inequality (-2 < 2x -6)

Mathematics

2 answers:

cupoosta [38]3 years ago

6 0

Plug in 0 for z
so it would change to -2<6

____ [38]3 years ago

6 0

Answer:

$x>2$

Step-by-step explanation:

We have been given an inequality $-2$ . We are asked to graph the given inequality.

Let us solve for x.

Add 6 on both sides:

$-2+6$

$4$

Divide both sides by 2:

$\frac{4}{2}$

$2$

$x>2$

Therefore, the solution for our given inequality is all values of x greater than 2.

We will have an open dot at $x=2$ and the arrow will on number line will point towards positive side.

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A ball is kicked in the air. The height of the ball can be calculated using the equation h(t) =-16t^2+64t+190, where h is in hei

gregori [183]

Answer:

Therefore the ball strikes the ground 5.98 s after kick.

Step-by-step explanation:

Given that , a ball is kicked in the air. The height of the ball can be calculated using the equation $h(t)=-16t^2+64t+190$ where h is height in feet and t is time in second.

When the ball touches the ground then the height will be zero.

i.e h(t)=0

Therefore

$-16t^2+64t+190=0$

$\Rightarrow -2(8t^2-32t-95)=0$

Since -2≠0 then $(8t^2-32t-95)=0$

$(8t^2-32t-95)=0$

[The solution of a quadratic equation ax²+bx+c=0 is

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$ here a=8, b=-32 and c=-95]

$\Rightarrow t =\frac{-(-32)\pm\sqrt{(-32)^2-[4\times8\times(-95)]} }{2\times8}$

$\Rightarrow t =\frac{32\pm\sqrt{4064} }{16}$

Therefore t= 5.98 or -1.98

since time can not be negative So , t=5.98 s

Therefore the ball strikes the ground 5.98 s after kick.

5 0

3 years ago

HELP ME PLSSSS!!!!!

ad-work [718]

Answer:

64 $\pi$ mm² or approximately 201.06 mm²

Step-by-step explanation:

If the diameter is 16 mm, the radius will be 8 mm.

Use the circle area formula, A = $\pi$ r², where r is the radius. Plug in 8 as r:

A = $\pi$ r²

A = $\pi$ (8²)

A = 64 $\pi$

So, the area of the circle is 64 $\pi$ mm² or approximately 201.06 mm²

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Delicious77 [7]

Answer:

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Step-by-step explanation:

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