Answer: mean- 38
median- 37
mode- no mode
range- 30
Step-by-step explanation:
Hey there!
When we're adding with different denominators, our goal is to keep the equivalent fraction, but create like denominators.
Let's think of an easier situation. If we have the number 5 and we want an equivalent number, we multiply by one. It's no different with fractions. We want to multiply by some version of one, like 2/2 or 4/4
For example, if we have:
2/8 + 4/6
Our LCM is 24. Therefore, we multiply 2/8 by 3/3:
2/8(3/3) = 6/24
And 4/6 by 4/4:
4/6(4/4) = 16/24
As you can see, we multiplied by versions of 1, so they're still the same fraction.
We have:
16/24 + 6/24 = 22/24 = 11/12
Hope this helps!
Answer:
For a table for x and y values for this absolute value equation, it would look like this:
x --- y
3 --- (-5)
4 --- (-1)
5 --- 3
6 --- (-1)
7 --- (-5)
Step-by-step explanation:
When you are building a table for an absolute value graph, you start with the base formula for absolute value equations:
y = a|x-h| + k
In this equation (h, k) is the vertex and therefore the middle point. From there we go two numbers in each direction for our x values. And for every change in x, y changes by a factor of a.
Answer:
Gale's Shipping Company Cost, y=$(3+5x)
Peeta's Shipping Cost, y=$(12+2x)
Step-by-step explanation:
Let the number of pounds being shipped=x
Gale's Shipping Company charges $3.00 plus an additional $5.00 per pound to ship a package.
Gale's Shipping Company Cost = $3.00 + ($5.00 X Number of Pounds)
Gale's Shipping Company Cost, y=$(3+5x)
Peeta's Shipping Company charges $12.00 plus an additional $2.00 per pound to ship a package.
Peeta's Shipping Cost = $12.00 + ($2.00 X Number of Pounds)
Peeta's Shipping Cost, y=$(12+2x)
For this case we have a function of the form:
Where,
A: initial population of bacteria
b: growth rate
x: number of hours
Since the diameter is double every hour, then:
We must now look for the value of A.
To do this, we evaluate an ordered pair of the graph:
For (1, 2):
Clearing A we have:
Then, the function is given by:
For after 9 hours we have:
Answer:
the diameter of the bacteria after 9 hours is:
