Rebecca bought 1.5 pounds of grapes and paid $3.72. what was the cost per pound of grapes?
1 answer:
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Answer:
Step-by-step explanation:
In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.
Now we can solve for the function by multiplying/subtracting/adding our known values.
Starting with the first term to the last term:
<u><em>WAIT</em></u><em>!</em><em> How is this possible? </em> (according to my calculator), and
, not 3!
It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use as an example.
What your calculator did was follow BEMDAS since it wasn't explicitly told not to.
BEMDAS:
- Brackets
- Exponents
- Multiplication/Division
- Addition/Subtraction
Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.
So rather than being <em>"-2 squared"</em> - it's <em>"the negative of of 2 squared."</em>
Tying this back into our problem, the squared method would only be true if it looks like . However, since we're substituting in -1, it looks like
, so the expression reads out as "<u><em>-1 to the fourth.</em></u>"
MULTIPLYING -1 by itself 4 times results in .
Applying this logic to our original term, :
Therefore, our first term is 3.
Let's move on to our second and third terms.
Second term:
Applying the same logic from our first term:
Third term:
-3 is just -3, no influence of x.
Combining our terms, we have .
This comes out to be -7, hence, the value of for our function
is <u>-7</u>.
Hope this helped!
Answer:
The answer to the question is
It would take Lalelyn bout 3 hours to run the 18m miles, and it will take her
and x +y+z =18 where x, y, and z are the distannce covered swimming, running and bikinr respectifully
Step-by-step explanation:
To solve the question, we lisrt out the variables as follows
Swimming speed of Lakelyn = 250 yards every 5 minutes or 250×12 = 3000 yards/hour = 1.7 miles/hr
Running speed of Lakelyn = 6 miles/hour
Biking speed = 12 miles/hour
The duration it will take for Lakelyn to run 18 miles is given by
Timee taken to run 18 miles t = (Distance covered)/ (Speed of Lakelyn))
or t = D/S
Substituting the known values of such as
Running speed of Lakelyn = 6 miles/hour
From which we have the time taken to run 18 miles = 18 miles /(6 miles/hour) = 3 hours
should the 18 miles form part of the triathlon then, we have
and x +y+z =18
Where x, y and z are the distance covered Swimming, Running and Biking respectively