Answer:
(0, -1)
Step-by-step explanation:
There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"
First, since both equations are equal to Y, we can set them equal to each other and solve for X

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

Now, solve how you normally would.
9x = 6x
-6x
3x = 0
X = 0
Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

Now solve which would lead to y = -1
You have your solution as
(X,Y)
(0,-1)
Hope this helps!
Answer:
Proportioal
Step-by-step explanation:
?
Answer:
t = 6.3
Step-by-step explanation:
N=Noe^(-kt)
No = 14 grams
k = .1092
We want to find t when N = 7 or 1/2 of 14
N=Noe^(-kt)
7 = 14 e ^ (-.1092t)
Divide each side by 14
1/2 = e ^ (-.1092t)
take the natural log of each side
ln (1/2) = ln e ^ (-.1092t)
ln (1/2) = -.1092t
Divide each side by -.1092
ln (1/2)/ -.1092 = t
t≈6.3475
Rounding to the nearest tenth
t = 6.3
Hmmmm is not very clear if the 25% is just 25% of the original price, or of the reduced price, but let's assume is of the reduced price.
say the original price is "x", 20% off that, means the sale price is 80% of the original price, or (80/100) * x, or 0.8x.
then Linz shows up on the last day, and she's got 25% off from that price plus a beanie baby and a free garden hose.
so if the price is reduced by 25%, then the sale price is just 75% of whatever it was, but it was already reduced to 0.8x, what is 75% of 0.8x?
(75/100) * 0.8x, or 0.75 * 0.8x, which is 0.6x, now 0.6 * 100 is 60 to change it to percentage format, or 60% overall percentage reduction from the original price.
Answer:
Equation: 2x + 3x + 10 = 180
x = 34
Top angle = 68 degrees
Bottom angle = 112 degrees
Step-by-step explanation:
The two angles add to 180, so set them equal to 180.
2x + 3x + 10 = 180
5x + 10 = 180
- 10 - 10
5x = 170
/ 5 / 5
x = 34
Plug x into angles,
2(34) = 68
3(34) + 10 = 112