Answer: 
Step-by-step explanation:
Since you did not indicate what you need to do, I assume that you have to write an expression using the sentence given in the problem.
In order to solve this exercise, it is importat to remember the following information:
1. The quotient is the result of a division.
2. The sum is the result of an addition.
3. The word "twice" indicates a multiplicatio by 2.
4. The word "cube" indicates an exponent 3.
Then, keeping on mind the explained above and the data given in the exercise, you know that:
-The sum of 
and 
can be expressed as:
- Twice the cube of 
can be expressed in the following form:
Therefore, you can dermine that "the quotient of the sum of and and twice the cube of " is represented with the following expression:
O
Answer:
vol. of triangular prism = lbh/2
vol. of rectangular prism = 18 of vol. of triangular prism
18x = 18 + 14x
4x = 18
x=4.5 ft
so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube
Answer:
The first unknown number is 10 the second is 20 and the third is 60
Step-by-step explanation
Since there is six numbers you have to multiply 25 times 6 = 150
Then 15+15+30=60
150-60= 90
10+20=30
30 times 2 equals 60
30+60=90
90+60= 150
150 divided by 6 = 25
Answer:
y=5 and x=4
Step-by-step explanation:
So,the diagonals of a parallelogram bisect each other..
therefore,we have our two eqn
4x-2=3y-1------------(i)
3y-3=3x
or,y-1=x----------(ii)
Now,simply substitute value of x in eqn (i)
4(y-1)-2=3y-1
or,4y-4-2=3y-1
or,y=5
Again,substitute y=5 in eqn (ii)
5-1=x
therefore,
x=5
Hope it helps you!!!
Answer:
B) vertical stretch
Step-by-step explanation:
Given that the cost of manufacturing x refrigerators is given by the function 
.
Now it says that the cost doubles for the year 2011 owing to higher raw material prices. So that means cost function will change from f(x) to 2f(x).
Now we need to decide the type of transformation from f(x) to 2f(x).
Remember that when f(x) changes to a*f(x) where value of "a" is greater than 1 then it stretches the function vertically by factor of "a".
in 2f(x), we have a=2
So that means "B) vertical stretch" is the correct choice.
