Since there is a negative correlation, evident by the negative slope of the equation of the line given to be -0.5, if we take t as 0, we get an equation of,
s = 3.6
This means that if a student does not watch television, he or she spends a maximum of 3.6 hours studying.
2x-1 < x+3
5x-1 > 6-2x
x-5 < 0
solve the inequality for x.
x < 4
x > 1
X < 5
find the intersection
X ∑ {1,4}
Alternative form: {x I 1 < x < 4}
∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.
What do you mean? the decimal is .35 and u can't simplify it anymore
<u>Answer:</u>
x + y ≥ 26 + 15
5x + 8y ≥ 250 (see below)
Step-by-step explanation:
First, write an equation to represent the total cost to wash cars:
$5x = cost for cars
Then, write another for trucks:
$8y = cost for trucks
If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:
This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:
x + y ≥ 26 + 15
Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:
If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:
5x + 8y ≥ 250
Now you have your system of equations:
x + y ≥ 26 + 15
5x + 8y ≥ 250
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above