Answer:
This is a many-to-one function as the value of y = -1 corresponds to two values of x:

Step-by-step explanation:
<u>Function</u>
A special relationship where each input (x-value) has a single output (y-value).
A function is <u>one-to-one</u> if each value in the range (y-values) corresponds to exactly one value in the domain (x-values).
A function is <u>many-to-one</u> if some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).
This is a many-to-one function as the value of y = -1 corresponds to two values of x:

This is not a function as the value of x = -5 corresponds to two values of y:

This is not a function as the value of x = -2 corresponds to two values of y:

This is not a function as the value of x = -4 corresponds to two values of y:

Answer:
B: 9 2/6 gummy worms
Step-by-step explanation:
You can't divide 56 equally with 6, so you have to find the nearest dividable number. That number is 54. 54 divided by 6 is 9, which eliminates option C and D. Since 56-54 (the number we took) is 2, the answer is B.
Fermat's little theorem states that

≡a mod p
If we divide both sides by a, then

≡1 mod p
=>

≡1 mod 17

≡1 mod 17
Rewrite

mod 17 as

mod 17
and apply Fermat's little theorem

mod 17
=>

mod 17
So we conclude that

≡1 mod 17
Answer:
- 10.5cm,20.8cm,23.3cm — yes
- 6cm, 22.9cm,20.1cm — no
Step-by-step explanation:
If the sides form a right triangle, the sum of the squares of the shorter two sides will equal the square of the longest side.
1. 10.5^2 + 20.8^2 = 23.3^2 . . . . . true algebraic statement; right triangle
__
2. 6^2 +20.1^2 = 440.01 ≠ 22.9^2 = 524.41 . . . . . this is an obtuse triangle
Answer:
77.76 times
Step-by-step explanation:
The average distance of Neptune from the sun
= 4.503 × 10
⁹ k
m
.
and Mercury = 5.791 × 10
⁷ k
m
.
Hence neptune is ( 4.503 × 10
⁹) ÷ (5.791
×
10
⁷ ) times farther from the sun than mercury
i.e.(
) × 10⁹⁻⁷ times
=
0.7776 × 10
² times
=
77.76 times.