Number of dogs in the shelter are 12
<u>Step-by-step explanation:</u>
Step 1:
Given that total animals = 108 and number of ferrets = 1/3 of 108. Find number of ferrets in the shelter.
Number of ferrets = 1/3 of 108 = 1/3 × 108 = 36
Step 2:
Given that of the remaining animals, number of cats = 5/6. Find the remaining animals and the number of cats.
Remaining number of animals = 108 - 36 = 72
Number of cats = 5/6 of 72 = 5/6 × 72 = 60
Step 3:
Find number of dogs in the shelter.
Number of dogs = 108 - (36 + 60) = 108 - 96 = 12
Billy is incorrect. There are 3 apples and 1 pepper in the picture. The ratio of the number of apples to the number of peppers is 3:1
Answer: a) zeros: x = {0, 4, -2}
b) as x → ∞, y → ∞
as x → -∞, y → ∞
<u>Step-by-step explanation:</u>
I think you mean (a) find the zeros and (b) describe the end behavior
(a) Find the zeros by setting each factor equal to zero and solving for x:
x (x - 4) (x + 2)⁴ = 0
- x = 0 Multiplicity of 1 --> odd multiplicity so it crosses the x-axis
- x = 4 Multiplicity of 1 --> odd multiplicity so it crosses the x-axis
- x = -2 <u>Multiplicity of 4 </u> --> even multiplicity so it touches the x-axis
Degree = 6
(b) End behavior is determined by the following two criteria:
- Sign of Leading Coefficient (Right side): Positive is ↑, Negative is ↓
- Degree (Left side): Even is same direction as right side, Odd is opposite direction of right side
Sign of the leading coefficient is Positive so right side goes UP
as x → ∞, y → ∞
Degree of 6 is Even so Left side is the same direction as right (UP)
as x → -∞, y → ∞
Answer:
y=x-32
Step-by-step explanation:
y=mx+b where m is the slope and b is the y-intercept.
slope=change in y/change in x
=5/5
y=5x+b --> choose a random point
(7,3) ---> 3=5(7)+b=35+b
b= -32
y=x-32
Answer:
The answer is 6
6(5)/8-3=
30/5=
=6
Step-by-step explanation: