Answer:
Equation: 2x + 1 = 9x - 13
There are two chairs in each row.
Step-by-step explanation:
Looking at the problem, we see that Hue can form two rows of chairs with 1 left over, or 9 rows if she gets 13 more. With that information we can create the equation 2x + 1 = 9x - 13. Now let's solve for x.
2x + 1 = 9x - 13
<em>What we can do first is subtract 9x from both sides. This is done so all of the variables are on one side. Thus that becomes...</em>
2x + 1 - 9x = -13
<em>Now, combine -9x and 2x to get -7x.</em>
-7x + 1 = -13
<em>Now subtract 1 from both sides. This is done so we solve for x directly.</em>
-7x = -13 - 1
<em>Subtract -1 from -13 to get -14.</em>
-7x = -14
<em>Now divide both sides by -7.</em>
x = -14/-7
<em>Divide -14 by -7 to get 2. Remember, dividing two negatives gives you a positive!</em>
x = 2
With that, the equation is solved. There are 2 chairs in each row.
For this case what we should do is evaluate the function in each of the points from 2 to 7 and then find the average.
We have then:
f (x) = ln (3x) +2.5.
f (2) = ln (3 * 2) + 2.5 = 4.291759469
f (3) = ln (3 * 3) + 2.5 = 4.697224577
f (4) = ln (3 * 4) + 2.5 = 4.98490665
f (5) = ln (3 * 5) + 2.5 = 5.208050201
f (6) = ln (3 * 6) + 2.5 = 5.390371758
f (7) = ln (3 * 7) + 2.5 = 5.544522438
Then the average is:
Average = (4.291759469 + 4.697224577 + 4.98490665 + 5.208050201 + 5.390371758 + 5.544522438) / (6) = 5.019472516
nearest hundredth
5.02
Answer:
the average rate of change of f (x) from 2 to 7 is 5.02
Your teacher asked you to represent 3 more than 8 multiplied by a number T as an expression
(3+8)t = 11t
I've heard this before, submit the rest and I will attempt to solve.
Answer:
10.34% probability that you both pick chocolate
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.
Combinations Formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
10 are filled with chocolate, and we want to pick 2. So
Total outcomes:
The box has 30 chocolates, and 2 are picked, so:
Probability:
10.34% probability that you both pick chocolate
