Answer:
(16x + 21) and (16x - 6)
Step-by-step explanation:
f(g(x)) = f(6 + 4x)
Applying the f(x) function on (6 + 4x) gives
4(6 + 4x) - 3
Which equals 16x + 24 - 3
= 16x + 21
g(f(x)) = g(4x - 3)
Applying the g(x) function on (4x - 3) gives
6 + 4(4x - 3)
Which equals 6 + 16x - 12
= 16x - 6
Answer:
x = 5
Step-by-step explanation:
20(20-x)=300
1. Divide both sides by 20.
20(20-x)/20 = 300/20
2. Simplify.
20-x=15
3. Subtract 20 from both sides.
20-x-29=15-20
4. Simplify.
-x=-5
5. Divide both sides by -1.
-x/-1 = -5/-1
6. Simplify.
x=5
Answer:
B
Step-by-step explanation:
B
x - 4 squared provides 2 real zeros that are the same. These two are not distinct.
The other two come from x^2 - 7x + 10 which has a discriminate of
sqrt(7^2 - 4*1*10) = sqrt(9) = +/- 3 leading to something real and different.
A bag contains 10 tiles with the letters A, B, C, D, E, F, G, H, I, and J. Five tiles are chosen, one at a time, and placed in a
lora16 [44]
I assume in this item, we are to find at which step is the mistake done for the calculation of the unknown probability.
For the possible number of arrangement of letter, n(S), the basic principles of counting should be used.
= 10 x 9 x 8 x 7 x 6 = 30,240
This is similar as to what was done in Meghan's work.
For the five tiles to spell out FACED, there is only one (1) possibility.
Therefore, the probability should be equal to 1/30,240 instead of the 1/252 which was presented in the steps above.
Dist from slide to fountain: 200 ft, because they are 2 grid spaces away from each other (y axis, coordinate (-2, 0) to coordinate (-2, -2))
dist from fountain to swings is 700 ft, because they are 7 grid spaces away from each other (x axis, coordinate (5, -2) to (-2, -2))
easy as 3.14159 (pi) xd