Answer:
or
Step-by-step explanation:
We are going to see if the exponential curve is of the form:
, (
).
If you are given the 
intercept, then 
is easy to find.
It is just the coordinate of the intercept is your value for .
(Why? The intercept happens when 
. Replacing 
with 0 gives 
. This says when 
.)
So 
.
So our function so far looks like this:
Now to find 
we need another point. We have two more points. So we will find using one of them and verify for our resulting equation works for the other.
Let's do this.
We are given 
is a point on our curve.
So when 
, 
.
Divide both sides by 8:
Reduce the fraction:
So the equation if it works out for the other point given is:
Let's try it. So the last point given that we need to satisfy is 
.
This says when 
, 
.
Let's replace with 2 and see what we get for 
:
So we are good. We have found an equation satisfying all 3 points given.
The equation is .
Using a system of equations, it is found that the cost of a t-shirt is of $3 and the cost of a notebook is of $5.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
- Variable x: Cost of a t-shirt.
- Variable y: Cost of a notebook.
Considering the costs of the purchases of Clubs A and B, the matrices give the equations as follows:
- x + y = 8 -> y = (8 - x).
Hence, replacing the second equation into the first:
3x + 2(8 - x) = 19
x = 3.
y = 8 - x = 8 - 3 = 5.
The cost of a t-shirt is of $3 and the cost of a notebook is of $5.
More can be learned about a system of equations at brainly.com/question/24342899
#SPJ1
3/4 of 6/7. The of means multiplication.
= 3/4 * 6/7. 2 into 4 is 2 and 2 into 6 is 3.
= 3/2 * 3/7 No other number can divide, so we multiply out.
=9/14
That's the answer.
Answer:
Fifth-grade detective Mickey Rangel feels like a stuck pig at a barbecue when Mrs. Abrego calls him down to her office; what could he be on the hot seat for? When Mrs. A starts talking about the rash of graffiti that has recently tarnished the school, Mickey frantically rushes to protest his innocence. Mrs. A talks him down; she knows he didn’t do it, but maybe he can figure out who did. Mickey dubs this miscreant the Mischievous Marker and finds a major clue in the latest graffiti message: “Our Principle’s no ‘pal’ of nobodies!” Top-notch speller Mickey notices the problems right away. At lunch that day, when Mickey sees his lifelong archnemesis, Bucho, giving Mickey’s twin brother, Ricky, a hard time, he imagines how sweet it would be if he could prove that the troublemaker Bucho was the Magic Marker Mischief Maker. And if not him, then who? Mickey will need to question more persons of interest and nail down the timeline to crack the case. The brief, fast-moving mystery appears first in English, then Spanish, in Villarroel’s translation. Saldaña's prose is peppy, and his mystery, while quickly solved, hammers home a solid grammar lesson as a bonus.
Though he’s no teacher’s pet, Mickey’s smarts make him a welcome protagonist.
Step-by-step explanation:
