Answer:
trigonometry
Step-by-step explanation:
hopes this helps
Answer:
2. B
3. C
4. B
5. D
Step-by-step explanation:
2) The sequence is multiplying by -2 each time. This means that it is geometric.
The next two terms would be:
![32*-2=-64\\-64*-2=128\\128*-2=-256](https://tex.z-dn.net/?f=32%2A-2%3D-64%5C%5C-64%2A-2%3D128%5C%5C128%2A-2%3D-256)
This means that the answer is B
3) The sequence is being multiplied by
each time. This means that it is geometric.
The next 3 terms would be:
![3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}](https://tex.z-dn.net/?f=3%2A%5Cfrac%7B1%7D%7B3%7D%20%3D1%20%5C%5C%5C%5C1%2A%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7D%20%2A%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B1%7D%7B9%7D)
I am assuming that the answer is C and that you were unable to type the fractions.
4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows
![f(x)=1.5(x-1)+15](https://tex.z-dn.net/?f=f%28x%29%3D1.5%28x-1%29%2B15)
Now we can find the first 4 terms
![f(1)=15.0\\f(2)=16.5\\f(3)=18.0\\f(4)=19.5](https://tex.z-dn.net/?f=f%281%29%3D15.0%5C%5Cf%282%29%3D16.5%5C%5Cf%283%29%3D18.0%5C%5Cf%284%29%3D19.5)
This would mean that the answer is B
5) We know that this is a geometric series, we know the common ratio, and we know the first term. This means we can write the equation as follows
![f(x)=4.5(10)^{x-1}](https://tex.z-dn.net/?f=f%28x%29%3D4.5%2810%29%5E%7Bx-1%7D)
Now we can find the first 4 terms
![f(1)=4.5\\f(2)=45\\f(3)=450\\f(4)=4500](https://tex.z-dn.net/?f=f%281%29%3D4.5%5C%5Cf%282%29%3D45%5C%5Cf%283%29%3D450%5C%5Cf%284%29%3D4500)
Unless you meant that the ratio was
, the answer is D, none of the above
Answer:
2
Step-by-step explanation:
Because 2/2 equals 1, and 1 * 2 = 2
Answer:
f(9) =21
Step-by-step explanation:
I will assume you want to find f(9) when x=9
Let x=9
f(9) = 2(9) +3
= 18+3
=21
f(9) =21
Step 1. Convert 3 1/4 to an improper fraction.
3 * 4 + 1/4 - 1 5/8
Step 2. Simplify 3 * 4 to 12
12 + 1/4 - 1 5/8
Step 3. Simplify 12 + 1 to 13
13/4 - 1 5/8
Step 4. Convert 1 5/8 to an improper fraction.
13/4 - 1 * 8 + 5/8
Step 5. Simplify 1 * 8 to 8
13/4 - 8 + 5/8
Step 6. Simplify 8 + 5 to 13
13/4 - 13/8
Step 7. Find the Least Common Denominator (LCD) of 13/4, 13/8
LCD = 8
Step 8. Make the denominators the same as the LCD
13 * 2/ 4 * 2 - 13/8
Step 9. Simplify. Denominators are now the same
26/8 - 13/8
Step 10. Join the denominators
26 - 13/8
Step 11. Simplify
13/8
Step 12. Convert to a mixed fraction
1 5/8