All categories

2 years ago

URGENT PLZ HELP VERY VERY URGENT HELP PLEASE I BEG CORRECT ANSWER PLZ

Mathematics

1 answer:

rusak2 [61]2 years ago

6 0

Answer:

<u>Given is the piecewise function</u>

<h3>The first interval</h3>

<u>Domain:</u>

x ≤ -2

<u>The function</u>

y = 1

<h3>The second interval</h3>

<u>Domain</u>

-2 < x ≤ 0

<u>The function</u>

The slope is m = (0 - (-4))/(0 - (-2)) = 4/2 = 2
The y-intercept is 0
y = 2x

<h3>The third interval</h3>

<u>Domain</u>

x > 0

<u>The function</u>

The slope is m = (0 - 2)/(4 - 0) = - 1/2
The y-intercept is 2
y = -1/2x + 2

You might be interested in

A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei

ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is $576\ cm^{3}$

Part 2) The total surface area of the paperweight is $400\ cm^{2}$

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the square base

H is the height of the pyramid

$B=8^{2}=64\ cm^{2}$

$H=3\ cm$

substitute

$V=\frac{1}{3}(64)(3)=64\ cm^{3}$

step 2

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

$V=8^{3}=512\ cm^{3}$

step 3

Find the volume of the paperweight

$64\ cm^{3}+512\ cm^{3}=576\ cm^{3}$

Part 2) what is the total surface area of the paperweight?

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

$SA=5b^{2}$

$SA=5(8^{2})=320\ cm^{2}$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bh]$

$LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}$

step 3

Find the total surface area of the paperweight

$320\ cm^{2}+80\ cm^{2}=400\ cm^{2}$

8 0

3 years ago

Please help! Please explain how to do this, I am so lost.

alexdok [17]

Ok, so we know that RST is equal to 6x+12
And RST is also equal to 78 + 3x-12
so we set them equal to each other

6x + 12 = 3x - 12 + 78
And simplify
3x = 54
x = 18

Finally, we solve for the angle with 18 for x

6(18) + 12
108 + 12
120

Hope this helps

8 0

3 years ago

What is 62% of 25 ?<br> im horrible at this plz help

hodyreva [135]

62% of 25

'of' means multiplication.

$\sf 62\%\times 25$

Convert 62% to a decimal, divide it by 100(since percentages are parts of 100):

62/100 = 0.62

$\sf 0.62\times 25$

Multiply:

$\sf\boxed{\sf 15.5}$

4 0

3 years ago

Read 2 more answers

6 boxes of 3-inch incense sticks for $22.75 is a better buy than 8 boxes for $30 and 10 boxes for $38.00

enot [183]

Answer:

Step-by-step explanation:

22.75/6 boxes is $3.79 per box

30/8 boxes is $3.75 a box

38/10 boxes is $3.80 a box

68/18=3.70 a box if you combine the last two.

So no, the 6 boxes at $3.79 a box is not a better buy.

6 0

3 years ago

Find the difference of 5 2/3 -4 5/9<br> A 3/4<br> B 1 1/9 <br> C 1 1/2<br> D 8/9

sergey [27]

Answer: B- 1 1/9
Work:
5 2/3 - 4 5/9
1 2/3 - 5/9
1 6/9 - 5/9
= 1 1/9

5 0

3 years ago