Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
Option C: (0,125) is the y - intercept.
Explanation:
The given function is 
We need to determine the y - intercept.
<u>The value of y - intercept:</u>
The y - intercept is the value of y when x = 0
The y - intercept of the function can be determined by substituting x = 0 in the function.
Hence, let us substitute x = 0 in the function , we have,
Simplifying the terms, we get;
Thus, the value of y is 125.
Hence, the y - intercept is 125.
Therefore, the coordinates of the y - intercept are (0,125)
Hence, Option C is the correct answer.
Answer
Root-(-12,0)
Vertical intercept- (0,6)
Greatest is Ava
Mary is in the middle
least is Phoebe
One kilogram is equal to 1000 grams so if you know that the rest of the problem is easy to figure out :)
Answer:
Step-by-step explanation:
Diagonals intersect at 90
2z - 8 = 90
2z = 90 + 8
2z = 98
z = 98/2
z = 49
Adjacent sides are congruent
5x - 12 = 3x + 2
5x = 3x + 2 + 12
5x = 3x + 14
5x - 3x = 14
2x = 14
x = 14/2
x = 7
3x + 2 = 3*7 + 2
= 21 + 2
= 23
Use Pythagorean theorem to find y
16² + y² = 23³
256 + y² = 529
y² = 529 - 256 = 273
y = √273
y = 16.52
