This equation can be solved graphically by plotting the equations
f(x) = 3^x
and
g(x) = 5x-1.
The x-coordinate of the point(s) of intersection is the solution.
_____
On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
3^x -(5x -1) = 0
and plot the function
h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)
Https://us-static.z-dn.net/files/d98/91a920cfe56638bfcc2f4c5b8ab8fcb3.jpeg
The complete question is
<span>Matsu wants to measure the dimensions of her vegetable garden. Which unit of measurement should she use to eliminate the need to write the values in scientific notation?
inches
feet
cups
tons
we know that
case a) inches
</span><span>is a measure of length used for small dimensions
</span><span>
case b) feet
</span>is a measure of length commonly used for dimensions of land, rooms, houses, etc.<span>
case c) cups
is not a measure of length
case d) tons
</span>is not a measure of length
<span>
therefore
the answer is the option
feet
</span>
Answer:
Step-by-step explanation:
Write down what you have for each pizza size.
small: s
Medium: (3/2) s
Large: (5/2) s
The only way I can see to do this is
s = L - M
s = 5/2 s - 3/2 s
s = 2/2 s
This of course is not exactly what you are looking for. There is no explicit formula that will tell you exactly how much dough is in a small pizza.
See the comment below posted by SqdanceFan. He is saying that M/L = (3/2)//(5/2) = 3/5
Also (M)/( S + M) = 3/5
But neither gives you an explicit formula for small, but it is a relationship. The fact that equality is achieved when both are zero is also true, but it does not solve the question. I don't think there's a good answer to this question.
Answer:
- If x=0 , then f(0)=2
- If f(x)=0 , then x = -1
Step-by-step explanation:
First lets assume that the y axis is called the<em> ordinate axis </em>and the x axis is the <em>abscissa axis</em>
Then:
- The first question asks for the y value in the <em>ordinate axi</em>s that corresponds to the x = 0 value. To begin:
You must start to locate the x=0 value on the abscissa axis, its located in the center of the axis.
Then you start for searching the y value that the curve takes when it passes through the ordinate axis, this correspond to the value of the function f(x) on x=0. The value according to the graph is y=2.
Then , you located the point (0,f(0))=(0,2).
- The second question asks for the x value in the abscissa axis that corresponds to the f(x)=y=0 value. To begin this, you start the other way around:
You must locate the y=0 value on the ordinate axis, its also located in the center of the axis.
Then you start for searching the x value that the function needs to take the y=0 value. According to the graph the value of x that the function needs is x = -1
Then, you located the point where f(x)=y=0, its (-1,0).
An example is attached to the answer
