f(x)g(x) = 9x² + 10x - 16
<u>Step-by-step explanation:</u>
Step 1:
Given f(x) = 3x - 4 × 2 + 6x and g(x) = 5x + 2 × 2 - 3x
f(x) = 9x - 8
g(x) = 2x + 4
f(x)g(x) = (9x - 8)(2x + 4)
= 18x² + 36x - 16x -32
= 18x² + 20x - 32
= 9x² + 10x - 16
The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.
<h3>What is the volume of a cone?</h3>
The volume of the cone is given by;
![\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\ r = radius \ and \ h = height](https://tex.z-dn.net/?f=%5Crm%20Volume%20%20%5C%20of%20%5C%20cone%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h%5C%5C%5C%5CWhere%3B%5C%20%20r%20%3D%20radius%20%5C%20and%20%5C%20h%20%3D%20height)
The volume of a cone with a diameter of 30 feet and a height of 60 feet.
The radius of the cone is;
![\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15](https://tex.z-dn.net/?f=%5Crm%20Radius%20%3D%5Cdfrac%7BDiameter%7D%7B2%7D%5C%5C%5C%5CRadius%3D%5Cdfrac%7B30%7D%7B2%7D%5C%5C%5C%5CRadius%3D15)
Substitute all the values in the formula
![\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume \ of \ cone=14130](https://tex.z-dn.net/?f=%5Crm%20Volume%20%20%5C%20of%20%5C%20cone%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h%5C%5C%5C%5C%20Volume%20%20%5C%20of%20%5C%20cone%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%203.14%20%5Ctimes%2015%5E2%20%5Ctimes%2060%5C%5C%5C%5CVolume%20%20%5C%20of%20%5C%20cone%3D14130)
Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.
Learn more about the volume of cone here;
brainly.com/question/3013784
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Answer:
2 % amount = 12000 7% amount = 1000 dollars
Step-by-step explanation:
x = 2% amount
then 13 000 - x = 7% amount
.02x + .07 (13000-x) = 310
-.05x + 910 = 310
.05x = 600
x = 600/.05 = 12000 then the 7% amount is 1000
Answer:
1. A rotation of 90°.
2. A reflection in the y-axis.
4. A translation of 3 units to the left.