Answer:
6x^3 - 2x^2 -11x +4
Step-by-step explanation:
(3x-4)(2x^2+2x-1)
Multiply 3x by the second term
3x* (2x^2+2x-1)
6x^3 +6x^2 -3x
Multiply -4 by the second term
-4*(2x^2+2x-1)
-8x^2 -8x+4
Add these together, lining up the terms
6x^3 +6x^2 -3x
-8x^2 -8x+4
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6x^3 - 2x^2 -11x +4
1/2 : 1
2 : 4
3 : 6
Notice that every ratio consists of a number and double the number.
For 1/2 cup lemon juice, use 1 cup sugar.
The amount of sugar is twice the amount of lemon juice.
The ratio is 1:2
Since you are told the ratio is 1:r, that means r is 2.
The unit rate is 2 cups sugar per cup of lemon juice.
Answer:
a) 7/4 b) 15/2
Step-by-step explanation:
a) Scale Factor = Image / Object
Take the side of Triangle ABC that's BC Why? Because it corresponds with the Image Triangle ADE's DE
= 21/12 = 7/4
b) 7/4 = 10+ x / 10
Cross Multiply
= 4 ( 10 + x ) = 70
= 40 + 4x = 70
= 4x = 70-40
= 4x = 30
= 4x/4 = 30/4
x = 15/2
Answer:
432m^3
Step-by-step explanation:
The computation of the volume of the larger pyramid is shown below:
Let us assume the volume of the larger pyramid be x
Given that
The ratio of two pyramids is 25:36
We can say that
The Ratio of side = (The ratio of surface area)^
= 
Now
ratio of volume = (ratio of side)^3 = 
= 125 : 216
Based on the above information, the calculation is as follows
So,
= 432m^3
