Answer:
Left on the x-axis
Step-by-step explanation:
The opposite of the coefficient's amount of units is how much the graph will be moved.
Table comparisons
g(x)=|x+4|
x 1 -2 <u>-4</u>
y 5 2 <u>0</u>
Underlined is the x-int of the equation.
f(x)=|x|
x 1 <u>0</u> -1 3
y 1 <u>0</u> 1 3
In a decimal it is 0.70 and in a percent it is 70%
The top-left graph goes with the bottom-right equation, y=90(1/4)^x
The bottom-left graph goes with the top-right equation, y = 120(3/4)^x
The top-right graph goes with the bottom-left equation, y = 120(1/4)^x
The bottom-right graph goes with the top-left equation, y = 90(3/4)^x
y=90(1/4)^x has a larger percent decrease than y = 90(3/4)^x
cause if you multiply a number by 1/4, that's smaller than multiplying number by 3/4. so y=90(1/4)^x decreases really fast
same with the y = 120(3/4)^x ones
Your answer would be (-1,-6)
Answer:
3 pennies, 9 nickels, and 6 dimes
Step-by-step explanation:
We have three conditions:
(1) p + n + d = 18
(2) 0.01p + 0.05n + 0.10d = 1.08
(3) d = 2p
Multiply (2) by 100 and rearrange (3) to get a standard array.
(4) p + n + d = 18
(5) p + 5n + 10d = 108
(6) -2p + d = 0
Subtract (4) from (5). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(6) -2p + d = 0
Multiply (4) by 2 and add to (6). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(8) 2n + 3d = 36
Double (8) and subtract from (7). This gives
(4) p + n + d = 18
(7) 4n + 9d = 90
(9) 3d = 18
Divide (9) by 3. This gives
(10) d = 6
Substitute (10) into (7). This gives
4n + 9(6) = 90
4n + 54 = 90
4n = 36
(11) n = 9
Substitute (10) and (11) into (4). This gives
p + 9 + 6 = 18
p + 15 = 18
p = 3
Sasha has 3 pennies, 9 nickels, and 6 dimes.
