Hello,
To find the value of (1 - x)³ when x = -3, you just need to substitute x = -3 into the given expression.
(1 - (-3)³
(1 + 3)³
4³
64
Your final answer is D, 64. Hopefully it helps! :D
<span>We should find out the equation that represents the number of drinks Fiona can serve. We know X as the number of glasses of iced tea and Y as the number of glasses of lemonade.
Fiona can serve both of them. She has 44 cups.
</span><span>The equation is:
X+Y=44
the constraint is: X and Y must be positive numbers.
</span>
Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.
An increasing exponential function is modeled by:

In which:
A(0) is the initial value.
r is the growth rate, as a decimal.
In this problem:
Her initial balance is of $300, hence . A(0)=300
The growth rate is of 15%, hence R =0.15
Then,


It will reach $450 after t years, for which A(t) = 450, hence:

It will take about 2.9 years for Emma's balance to reach $450
Learn more about logarithm here
brainly.com/question/247340
#SPJ4 .
Answer: 5 gallons
Step-by-step explanation:
First, we need to know how many miles we can get by on a gallon of gas. To find this, we need to divide 378 miles by 9 gallons.
378/9 = 42
42 miles per gallon.
Now, we need to find how many gallons of gas it will take Abigail to travel 210. To find this, we simply divide 210 by 42.
210/42 = 5
It will take Abigail 5 gallons of gas to travel 210 miles.
Answer:
In Grade 8, 17% of students liked running
Step-by-step explanation:
Although this table is incomplete, there are still enough information to answer.
First, we need to be aware that the data here is written in decimal numbers, which is another way to write percentages.
In other words, 100% equals to 1, which is to say that if we multiply decimal number with 100 we'll get the percentage:
0.39 = 39%
0.04 = 4%
Another important thing to establish is that the value of decimal number DOES NOT mean the number of people, it only suggests the ratio:
0.26 does not mean 26 people etc.
Knowing this, from this incomplete table, we see that 0.17 students from grade 8 liked running. And now we know that 0.17 equals to 17%, which makes B the correct answer.