Correct question:
a sequence U1, U2,U3...... is defined by the relation
. if U1 =2, find U2 and U3
Answer:
U2 = 9
U3 = 23
Step-by-step explanation:
Given sequence;

U1 = 2
U2 = ?

Solving for U3;

Solve for the bracelet first.
x represents number of beads for bracelet
So it would be number of beads for the bracelet + number of beads for necklace (5x) and they both equal 192
x + 5x = 192
Then you would add the x and 5x.<br />6x = 192
Now all you have to do is divide by 6 on both sides.
6× ÷ 6 = 192 ÷ 6
You know have the number of beads it takes for a bracelet.
x = 32
to get the necklace all you need to do is multiply it by 5 because you need 5 times more for the necklace.
32 × 5
total beads needed is 160.
160
x+5x=192
6×=192
6x÷6=192÷6
x=32
necklace needs 32x5
beads per necklace is 160
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
So if you're asked to graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse. Just look at all those values switching places from the f(x) function to its inverse g(x) (and back again), reflected over the line y = x.
75-5(2×6)
75-5×12×
-60×+75