Nickels (0.05): Q + 6
Dimes (0.10): Q + 8
Quarters (0.25): Q
Nickels + Dimes + Quarters = Total
0.05(Q + 6) + 0.10(Q + 8) + 0.25(Q) = 4.70
0.05Q + 0.30 + 0.10Q + 0.80 + 0.25Q = 4.70
0.40Q + 1.10 = 4.70
0.40Q = 3.60
Q = 9
Nickels (0.05): Q + 6 = (9) + 6 = 15
Dimes (0.10): Q + 8 = (9) + 8 = 17
Answer: Nickels = 15, Dimes = 17, Quarters = 9
Answer:
m=2/3
Step by Step Explanation:
x1,y1= 3,-6
x2,y2=3,-3
m={-3-3} (Fraction Form)
{-6-3}
Refine:
m={2}{3}
first function 2nd function
slope =(y2-y1)/(x2-x1) slope =(y2-y1)/(x2-x1)
=(14-2)/(3-0) m = (-3--12/(3-0)
12/3 m=(-3+12)/3
4 m =9/3 =3
y = 4x+2 y = 3x+-12
set these two equations equal
4x+2 = 3x-12
subtract 3x
x+2 = -12
subtract 2 from each side
x = -14
y = 3x-12
y =3*(-14)-12
y = -42-12
y = -54
ChoiceD
Answer: The coordinates are (2.5, -1.5).
Explanation: The explanation is in the image.
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) = 
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.