Answer:
slope is 0
Step-by-step explanation:
Equation is y = -4
Answer:
d) The probability spinner will land on black all three times is 1/8
Step-by-step explanation:
The probability of landing on black = 1/2
The probability of landing on red = 1/3.
Now, if the spinner is spun 3 times.
The probability it will land on black all three times
= 
= 
Hence, the probability spinner will land on black all three times is 1/8.
Answer:7/8 of an inch
Step-by-step explanation: 1 and 1/4 inch is 5/4 inches, which can be converted into 10/8
10/8-3/8=7/8
Answer:
a) b = 8, c = 13
b) The equation of graph B is y = -x² + 3
Step-by-step explanation:
* Let us talk about the transformation
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then the new function g(x) = f(x + h)
In the given question
∵ y = x² - 3
∵ The graph is translated 4 units to the left
→ That means substitute x by x + 4 as 4th rule above
∴ y = (x + 4)² - 3
→ Solve the bracket to put it in the form of y = ax² + bx + c
∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)
∴ (x + 4)² = x² + 4x + 4x + 16
→ Add the like terms
∴ (x + 4)² = x² + 8x + 16
→ Substitute it in the y above
∴ y = x² + 8x + 16 - 3
→ Add the like terms
∴ y = x² + 8x + 13
∴ b = 8 and c = 13
a) b = 8, c = 13
∵ The graph A is reflected in the x-axis
→ That means y will change to -y as 1st rule above
∴ -y = (x² - 3)
→ Multiply both sides by -1 to make y positive
∴ y = -(x² - 3)
→ Multiply the bracket by the negative sign
∴ y = -x² + 3
b) The equation of graph B is y = -x² + 3
Answer:
Overshoot.
Step-by-step explanation:
Let us know the meaning of given words.
Logistic growth occurs when population reaches carrying capacity of its environment. It does not surpass carrying capacity.
When population surpasses carrying capacity of its environment then a crash or a die-off happens, which causes a decline in population density. This crash or die off is known as collapse. The consequences of overshoot is known as collapse.
In population dynamics overshoot occurs when a population surpasses its carrying capacity. Overshoot is a temporary condition.
Therefore, from above explanation we can see that overshoot is the correct answer for the given phenomenon.
