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3 years ago

Which of the following relations are functions?

Mathematics

2 answers:

mr_godi [17]3 years ago

8 0

D and A..................

Alisiya [41]3 years ago

7 0

{(c,e),(c,d),(c,b)} is NOT a function since the input c has multiple outputs (e,d,b). So choice B is out

{(b,b),(c,d),(d,c),(c,a)} is NOT a function either. The input 'c' corresponds to the output 'd' and 'a' at the same time. So choice C is out too

Choices A and D are the answer. They are functions since any given input corresponds to exactly one output.

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Please help on these two

jeyben [28]

Answer:

For your first problem you want to see what all the sides would equal

You would have to combine them all into one big equation

5x-7+3x+1+4x=30 (now you want to combine like terms)

12x-7+1=30 (combined the x's together)

12x-6=30 (added -7 and 1)

12x=36 (added 6 to each side)

x=3 (divided 12 to each side)

Now you wanna plug 4 in for x for each side to find out the largest to smallest

AB=5(3)-7= 8

BC=3(3)+1= 10

AC=4(3)= 12

So in order from smallest to largest would be angle C, B, A because

Angle C is the smallest angle because the sides AC and BC are the longest so they form the smallest angle

Then it would be angle A being the largest because the smallest sides in length AB and BC make up the biggest angle

The next problem would be that in order for it to have to be a triangle the two smallest sides needs to add up higher than the third side so

11, 11, 24, 11+11=22, which is less than 24 so not this one

18,12,9, 9+12=21 which is greater that 18 so this one would be a triangle

9,10,19, 9+10=19 which 19 isn't greater than 19 so this one is not a triangle

4,7,23, 4+7=11 which is less than 23, so this one is also not a triangle

So your answer would be 18cm,12cm,9cm

8 0

3 years ago

Please take your time but I really need anyone's help!!!!

stiv31 [10]

Answer:

C) 5 3√2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

HELP!!! 20 POINT REWARD!!!

d1i1m1o1n [39]

Ah! I love these questions!

To find the area of the shaded region, you must find the area of the circle. Then, you must find the area of the triangle inscribed in the circle. Lastly, you must subtract the area of the triangle from the area of the circle.

Area of Circle: $\pi$ x $r^{2}$
= $\pi$ x 10^2
= $\pi$ x 100
Usually these problems will not require you to convert pi into a decimal, but if it does, then the area of the circle would be 314.

Area of Equilateral Triangle: $\frac{ s^{2} \sqrt{3} }{4}$
To find the side, draw a perpendicular line from the center to a side of a triangle. This line will create two more triangles inside the big triangle. You will notice how in these smaller triangles, the angles are 30, 60, 90. From that we can deduce that half the length of a side is 5 $\sqrt{3}$ because of the 30, 60, 90 ratio. Multiply that by 2 to get 10 $\sqrt{3}$ as the length of the side of the large triangle. Now substitute this value into the formula above.
$\frac{ (10 \sqrt{3}) ^{2} x \sqrt{3} }{4} = \frac{300 \sqrt{3} }{4} = 75 \sqrt{3}$

Final Answer: 100 $\pi$ - 75 $\sqrt{3}$

6 0

3 years ago

Select the statement that represents all the solutions of the inequality. d < 7 all rational numbers equal to 7 all integers

Paraphin [41]

Aspongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

3 0

3 years ago

I need some help on this! i need my grade to go up

Kaylis [27]

3rd one I think tho it may not be accurate

4 0

2 years ago

Read 2 more answers