So we have 2 variables here: tacos and orders of nachos.
When we translate the paragraphs into equation:
Now, in this situation we can make use the elimination method by converting 3n to -27n.
Add both equations:
So we find that one taco costs $2.75.
We can plug this into any of the first two equations to find n:
So one order of nachos cost $1.40.
Answer:
OPTION C: (x - 5)(x + 6)
Step-by-step explanation:
Given: (x - 3)(x + 4) - 18
Product of (x - 3) and (x + 4) = x² + 4x - 3x - 12
Therefore, (x - 3)(x + 4) - 18 = x² + x - 30
This is a quadratic equation and the roots are x = 5, -6.
This can be written as binomials as:
(x - 5)(x + 6) which is the required answer.
So, OPTION C is the answer.
Step-by-step explanation:
- Pick two whole points on the graph
- Then, use this formula: Y2 - Y1
X2 - X1
- Finally, you're given a solution (slope)
Answer:
For this particular case they are interested on the amount of weight gained by randomly selecting some students, we need to remember that the weight can't be a discrete random variable since this random variable can take values on a specified interval and with decimals, so for this case the best conclusion is that we have a continuous data set.
Step-by-step explanation:
Previous concepts
We need to remember that continuous random variable mans that the values are specified over an interval in the domain, so is possible to have decimal values for the possible outcomes of the random variable.
By the other hand a discrete random variable only can take integers for the possible outcomes of the random variable over the specified domain.
Solution to the problem
For this particular case they are interested on the amount of weight gained by randomly selecting some students, we need to remember that the weight can't be a discrete random variable since this random variable can take values on a specified interval and with decimals, so for this case the best conclusion is that we have a continuous data set.
Answer:
$2,977.54
Step-by-step explanation:
You are going to use the compound interest formula:
<em>P = initial balance</em>
<em>r = interest rate</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 6% into the decimal form:
6% -> 
-> 0.06
Next, lets plug in the values:
Your answer will be $2,977.54
