Answer:
Step-by-step explanation:
- log₄ (m²) = log₄ (18 - 7m)
18 - 7m > 0 ⇒ 7m < 18 ⇒ m < 18/7
- m² = 18 - 7m
- m² + 7m - 18 = 0
- m² + 2*3.5m + 12.25 = 30.25
- (m + 3.5)² = 5.5²
- m = - 3.5 ± 5.5
Answer:
table two
Step-by-step explanation:
The increase rate for table one is constant that's why it is a linear function
In the second table, however, the increase rate increases as x increases, it is not constant; therefore, table two is a quadratic function.
<h3><u>Question</u></h3>
The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?
<h3><u>Answer:</u></h3>
Charlie saved $ 28
<h3><u>Solution:</u></h3>
Given that amount of money that Charlie saves each week is directly proportional to the amount he earns
Let y represent of saved money and x represent amount of earned money
Therefore,
y = kx --- eqn 1
Where "k" is the constant of proportionality
<em><u>Last week Charlie saved $32 on his earnings of $512</u></em>
y = 32 and x = 512
Substituting in eqn 1, we get
To find amount of saved money, we will substitute k = 0.0625 and x = 448 in eqn 1
y = 0.0625(448) = 28
Thus charlie saved $ 28
1. The usable domain of the function is the time period from when the object was dropped (t=0) to when it hits the ground (h(t) = 0, at t=3). The appropriate choice for domain is ...
2) 0 ≤ t ≤ 3
The appropriate choice for range is the range of heights the object may have:
3) 0 ≤ h(t) ≤ 144
2. The domain is a count of people, ...
1) positive integers
The domain is an amount of money, ...
2) positive real numbers
Answer:
4 inches
Step-by-step explanation:
The radius is the line from the center of the circle to the edge. We can assume the black line on the orange is the radius.
We want to find the diameter. The diameter is twice the radius, or
d=2r
We know the radius is 2, so we can substitute that in for r
d=2*2
Multiply
d=4
So, the diameter is 4 inches