Answer:
The domain is the interval (-∞,∞)
The range is the interval [-4,∞)
Step-by-step explanation:
we have

This is the equation of a vertical parabola in vertex form
The vertex is the point (-4,-4)
The parabola open upward (because the leading coefficient is positive)
The vertex represent a minimum
The domain is the interval (-∞,∞)
so
The domain is all real numbers
The range is the interval [-4,∞)

so
The range is all real numbers greater than or equal to -4
Answer:
19/25.
Step-by-step explanation:
The total possible number of combinations of 2 cards from the 2 piles = 5*5 = 25.
Possible ways to get sum of 12 or more =
4,8 5,7 5,8 6,6 6,7 6,8 = 6 ways.
So the number of ways to get sum of < 12 = 25 - 6 = 19.
So the required probability = 19/25.
Answer:
<u>The numbers are 40 and 49</u>
Step-by-step explanation:
Smaller number = x
Larger number = y
Let's write our system of equations:
x + y = 89
3x = y + 71
***************************
x = 89 - y
Substituting x in the 2nd equation and solving for y:
3 (89 - y) = y + 71
267 - 3y = y + 71
-3y - y = 71 - 267 (Like terms)
-4y = - 196
y = -196/-4
y = 49
Solving for x in the 1st equation:
x + y = 89
x + 49 = 89
x = 89 - 49
x = 40
<u>The numbers are 40 and 49</u>
Answer:
8 pieces
Step-by-step explanation:
Take 6 yds and divide by the length of each piece
6 ÷ 3/4
Copy dot flip
6 * 4/3
24/3
8
We can get 8 peices
8 units
i’m sorry if it’s wrong but i’m pretty sure it should be right.