For the first point, remember this simple rule: every exponential function 
always returns 
when evaluated at 
. In fact, 
for every possible base .
So, we can see that the graph of the exponential passes through the point 
where 
appears to be between 1 and 2. So, the only feasible option would be 
, because it passes throught the point 
because 
.
The other functions are wrong because:
would pass through 
, which would be between 0 and 1 on the y axis
would pass through 
, which would be between 2 and 3 on the y axis
would pass through 
, which would be between 0 and 1 on the y axis
As for the second question, you simply have to plug in the values: the function
means that you have to choose an input, x, and use it as exponent for 7. So, if you choose x=2, it means that you have to give exponent 2 to 7, i.e. you replace the x with the specific value, 2.
So, the expression becomes
For simple integer factors as this one has, you want to find two values for the quadratic in the form ax^2+bx+c. Let the two values be j and k. These two values must satisfy two conditions.
jk=ac=10 and j+k=b=11, so j and k must be 1 and 10.
Now replace bx with jx and kx...
2x^2+x+10x+5 now factor 1st and 2nd pair of terms.
x(2x+1)+5(2x+1)
(x+5)(2x+1)
The percentage of profit margin that
the plumbing supplies manager realizes that he has = 15%
Total sales for the month made by the plumbing supplies manager = $23000
Then
Amount of profit that has been made
by the plumbing sales manager = 15% * 23000 dollars
= (15/100) * 23000 dollars
= 15 * 230 dollars
= 3450 dollars
So the plumbing manager makes a profit of $3450 in the month as can be seen from the above deduction.
Answer:
The area of a circle is defined as A=pi*R*R. To find the radius, first divide A/pi. The answer would be the square of the radius; therefore, the square root of A/pi is the radius of the cylinder. Volume is defined as V=pi*R*R*H, or V=A*H. Dividing the volume by the area V/A would result in the height of the cylinder.
Step-by-step explanation:
