An art teacher buys 9 bags of cotton balls there are 68 cotton balls in each bag whitch expression is best to estimate the numbe
1 answer:
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Answer:
6.33... and 0.333...
Step-by-step explanation:
The quadratic formula is
.
It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.
We will now solve for the plus and the minus.
The plus,,,
and the minus...
- At 2 hours, the traveler is 725 miles from home.
- At 3 hours, the distance is constant, at 880 miles. --> TRUE.
- The total distance from home after 6 hours is 1,062.5 miles --> TRUE.
Step-by-step explanation:
The function D(t) is defined as follows:
for
for
for
Where
t is the time in hours
D(t) is the distance covered, in miles, after t hours
Now let's analyze the different statements:
- The starting distance, at 0 hours, is 300 miles. --> FALSE. In fact, if we substitute t = 0 into the 1st equation, we get
So, the distance at t = 0 is 125 miles.
- At 2 hours, the traveler is 725 miles from home. --> TRUE. In fact, if we substitute t = 2 into the 1st equation,
- At 2.5 hours, the traveler is 875 miles from home. --> FALSE. In fact, for t=2.5 we have to use the 2nd equation, which states that the distance is:
D(t) = 880
So, not 875 miles.
- At 3 hours, the distance is constant, at 880 miles. --> TRUE. This is clearly visible from the 2nd equation: for t between 2.5 and 3.5 (so, in this case), the distance is
D(t) = 880
- The total distance from home after 6 hours is 1,062.5 miles --> TRUE. In fact, if we replace t = 6 into the last equation,
Learn more about functions:
Learn more about distance:
#LearnwithBrainly
Answer:
Length of package can be = 22 inches
Step-by-step explanation:
Given:
For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches
To find length of package when girth of package is = 63 inches
Solution:
Let length of package be = inches
Let girth length of package be = inches
Sum of length and girth of package = inches
To qualify for a certain postage rate the sum of length and girth should not exceed 85 inches.
Thus, the inequality representing the situation can be given as:
We are given girth of package is = 63 inches
So, inequality to find length would be:
Subtracting both sides by 63.
inches
So, length should not exceed 22 inches in order to qualify.
Thus, the maximum length of package to qualify for the postal rate must be = 22 inches