The answer would be D) The union of two nations who have a common purpose.
Answer:
The correct answer is d.
Step-by-step explanation:
Let's solve each answer and see which one matches.
Note that in each case, you simply add or subtract from x inside the radical to move left or right respectively. Similarly, just add or subtract to the full expression to move up or down respectively. Doing so we get:
a) ![f(x) = \sqrt[3]{x + 7} + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20%2B%207%7D%20%2B%203)
b)![f(x) = \sqrt[3]{x - 3} - 7](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20-%203%7D%20-%207)
c)![f(x) = \sqrt[3]{x - 3} + 7](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20-%203%7D%20%2B%207)
d)![f(x) = \sqrt[3]{x - 7} + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20-%207%7D%20%2B%203)
So d is the correct answer.
Answer:
$1,875
Step-by-step explanation:
(if 500 is 80%, divide 1500 by 4 to get 20%)
1500 divided by 4 is 375
375 plus 1500 is 1875
One way of doing this is to write the equation of ratios (15 screwdrivers / 45 screwdrivers) = ($300 / x). Solve this equation for x. To do this, you might try multiplying both sides of this equation by x to eliminate fractions.
Another way is to obtain the unit cost of each screwdriver and then multiply the result by 45 screwdrivers.
Answer:
Step-by-step explanation:
1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
If t6 = 3,r = 1/8, then
3 = a × 1/8^(6 - 1) = a × (1/8)^5
a = 3/(0.125)^5 = 98304
The first term is 98304.
Second term is 98304 × 1/8 = 12288
Third term is 12288 × 1/8 = 1536
Third term is 1536 × 1/8 = 192
2) t1 = 4
t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12
t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36
t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108
3) let the numbers be t2,t3 and t4
The sequence becomes
1/2, t2,t3, t4,8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
8 = 1/2 × r^(5 - 1)
8 = 1/2 × r^4
16 = r^4
2^4 = r^4
r = 2
t2 = 1/2 × 2 = 1
t3 = 1 × 2 = 2
t4 = 2 × 2 = 4
