Answer:
The correct quotient is 3.
I think Derek has mistaken to divide 
by 
.
Step-by-step explanation:
We have to check the quotient of 
.
Part A:
Now, .
= 
So, the correct quotient is 3.
Part B:
Derek says that the quotient is 
.
So, I think Derek has mistaken to divide by . (Answer)
Answer:
d. 1
Step-by-step explanation:
The base for this "exponential" function is sufficiently close to 1 that the function looks linear. The value corresponding to x=0 seems to be 1.00. Rounded to tenths, it is 1.0.
Answer:
875 cm^3
Step-by-step explanation:
Here, we want to calculate the volume of the pyramid.
To do this, we need to calculate the area of the base and then multiply this by the height of the pyramid in question
Mathematically since the base is a square, formula for the base area would be ;
L^2 = 5^2 = 125 cm ^2
Now
using the height to get the volume , we have 125 * 7 = 875 cm^3
-----------------------------------------
Define x :
-----------------------------------------
Let the smallest number be x.
The other two numbers will be x + 1 and x + 2.
-----------------------------------------
Construct Equation :
-----------------------------------------
Sum of these numbers is 72
⇒ x + x + 1 + x + 2 = 72
-----------------------------------------
Solve for x :
-----------------------------------------
x + x + 1 + x + 2 = 72
3x + 3 = 72
3x = 69
x = 23
-----------------------------------------
Find the numbers :
-----------------------------------------
1st number = x = 23
2nd number = x + 1 = 23 + 1 = 24
3rd number = x + 2 = 23 + 2 = 25
----------------------------------------------------------------------------------
Answer : The numbers are 23, 24 and 25.
----------------------------------------------------------------------------------
So you have to find something that multiples to six but also somehow either subtracts or adds to five. So I would pick 2 and 3 because two plus three is five. Then you would write out your equation
X2+2x+5x+6
This may not be the way your teacher taught however it is much easier for me to do it this way.
