Answer:
C and D are correct in my calculations, I'm confused.. ;w;
Step-by-step explanation:
4x + 9 + 79 - x + y = 180
4x - x + y + 79 + 9 = 180
3x + y + 88 = 180
3x + y = 180 - 88
3x + y = 92
y = 92 - 3x
A.) x = 64, y = 50
y = 92 - 3x
(50) = 92 - 3(64)
50 = 92 - 192
50 ≠ - 100
B.) x = 14, y = 152
y = 92 - 3x
(152) = 92 - 3(14)
152 = 92 - 42
152 ≠ 50
C.) x = 23.3, y = 22.1
y = 92 - 3x
(22.1) = 92 - 3(23.3)
22.1 = 92 - 69.9
22.1 = 22.1
D.) x = 14, y = 50
y = 92 - 3x
(50) = 92 - 3(14)
50 = 92 - 42
50 = 50
Answer:
Step-by-step explanation:
(-5x-4)-(-3x-2)
-5x-4+3x+2
-2x-2
-2(x+1)
Answer:
Mary has
3 10
shilling coins.
Step-by-step explanation:
Set the argument -1/2x equal to the x coordinate of the given point 6. Solve for x
-1/2x = 6
x = 6(-2)
x = -12
So x = -12 makes the equation -1/2x = 6 true.
If we plug x = -12 into f(-1/2x) we get f(6)
Since we know that (6,-8) is on the graph of f(x), we know that (-12,-8) is on the graph of f(-1/2x)
What happens is that there's a reflection over the y axis (due to the minus sign in -1/2x) and there's a horizontal stretch by a factor of 2. So the graph of f(-1/2x) appears to be wider than f(x).
In summary, the final answer is (-12,-8)
Remark
This problem is done in 2 steps. The first step determines k and the second step is your answer.
Determining K
P = 233 million
A = 231 million
k = ??
t = 1999 - 1991 = 8 years.
Solution
P = Ae^(kt)
233 = 231 * e ^(kt) Divide by 231
233/231 = e^(k8) Do the division
1.008658 = e^(k8) Take the log of both sides.
ln(1.008658) = k8 * ln(e) You are in natural logs. Ln(e) = 1; kt can be brought down and made into a result that is multiplied by ln(e)
ln(1.008658) = 8k Take the ln of 1.008 ...
0.008621 = 8k Divide by 8
k = 0.008621 / 8
k = 0.0011 rounded, but a more accurate number is in the storage area of the calculator.
Now to get the second part.
P = ??
A = 231
k = 0.0011
t = 12
P = 231 * e^(0.0011*12)
P = 231 * e^(0.012931114) using the stored value of M
P = 231 * 1.013015083
P = 234.006 which rounded to the closest million is 234 million
Answer 234 million.
