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2 years ago

Please help me ASAP

Mathematics

2 answers:

Kaylis [27]2 years ago

4 0

All you have to do for this is plug in each coordinate point to the function. Ex. (0,2). Plug in 0 to the “x” part of the function, and solve that side; you will get 2. Then you plug in 2 in this case for “y”. You will end up with 2<2 which is a FALSE statement. And you keep doing that until you get a TRUE statement.

Phantasy [73]2 years ago

4 0

<h3>Answer: Choice C. (0,0) </h3>

=====================================================

Explanation:

This is the only point in the shaded region. The other points are either on the boundary line or outside the shaded region. Points on the boundary do not count because of the dashed line. The dashed line is due to no presence of an "or equal to" as part of the inequality sign.

See the diagram below.

---------------------

A nonvisual approach will have you plug each of the coordinates into the given inequality.

For instance, choice A has x = 0 and y = 2 pair up which plug in to get

y < (-2/3)x + 2

2 < (-2/3)*0 + 2

2 < 2

which is false, so that's why choice A is not the answer. You should find that choices B and D are false too. Only choice C is true because

y < (-2/3)x + 2

0 < (-2/3)*0 + 2

0 < 2

which confirms the answer we got when we used the visual approach.

You might be interested in

Round 87590 is nearest 1000 you will get

Diano4ka-milaya [45]

Answer:

88,000

Step-by-step explanation:

The number in the thousands is 7. If we look at the hundreds, it has a 5. 5 or more means to round up. So, rounding up the 7 gives us 8. Then, we make all the numbers past the 1000's place 0's. So, we are therefore left with 88,000.

Hope this helps! :D

3 0

2 years ago

Read 2 more answers

Help please!!!!!!!!!!!

Darya [45]

Answer:

The second one

Step-by-step explanation:

5 0

2 years ago

Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

6 0

1 year ago

Read 2 more answers

I need help pleaseeeee

Ira Lisetskai [31]

2.1 ÷ 1.488 = 1.41
1.41 rounded to the nearest tenth is 1.4
so your answer is 1.4

7 0

3 years ago

Macy’s buys a pair of Cole Haan dress shoes wholesale for $90. If Macy’s marks up the price 20%, and tax is 9%, how much did Nor

stich3 [128]

Answer:

Norman bought the shoes for $117.72

Step-by-step explanation:

In order to find the answer to this question, start by multiplying the cost by the markup.

$90 * 20% = $18.

Now we add the $18 to the original price.

$90 + $18 = $108

Now that we have the mark up price, we need to do the same using the tax.

$108 * 9% = $9.72

Finally, we add that to the previous total.

$108 + $9.72 = $117.72

5 0

2 years ago