Answer:
B) y² = 4x; There are two outputs for each input
Step-by-step explanation:
For an equation to be called a function, the input values for x must only result in a single output for y.
Based on this definition if a function, the functions y = x², y = -x and y = x are all functions because for any value of x imputed in them, we can only get one equivalent value of y.
The only exception is the function y²= 4x
For this function, for any value of x, there will be more than one output for y. Take x = 1 for example
y² = 4(1)
y² = 4
y = ±√4
y = ±2
This shows that y = 2 and -2
Also if x = 4
y² = 4(4)
y² = 16
y = ±√16
y = ±4
y = 4 and -4
No matter the value of x imputed, the output value y will always be two (a positive and a negative value)
Hence, option B is correct.
Yes. to find the area of a square when you know one side "s", you simply square that side since the area is equal to the base times the height, and the base and height will always be equal in a square since the sides are equal:
A = s^2
Represented in a function form:
f(s) = s^2
This means whatever you plug in for s, you will square it to get the area.
Answer:
36
Step-by-step explanation:
Create an equation : 12 for how many pieces Stephanie took, 4 for how many children she has and 6 for how many pieces each child got:
12+ (6*4) = x
Solve:
12+24 = 36
Answer:
x= 3sqrt2 y=3
Step-by-step explanation:
The triangle is isosceles triangle, which means 2 sides are congruent. Therefore, y =3
using the pythagorean theorem,
3^2+3^2=x^2
9+9=x^2
18=x^2
x=18 sqrt
3sqrt2
Step-by-step explanation:
Let F = The number of $5 bills and T = the number of $10 bills. She has 15 bills total, so:
F+T = 15
T = 15-F
She has $120 total:
$120 = ($5)*F + ($10)*T
$120 = $5*F + ($10)*(15-F) [Substitute 15-F in place of T]
120 = 5F + 150 - 10F
-30 = -5F
6 = F
Check:
T= 15-F = 15=6 = 9
$120 = ($5)*6 + ($10)*9
$120 = $30 + $90
$120 = $120
