Step-by-step explanation:
3x + 2y = 9
- (3x + y = 6)
=> y = 3.
Therefore 3x + (3) = 6, 3x = 3, x = 1.
The solutions are x = 1 and y = 3.
For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: decrease factor
t: time
Substituting values:
y = 30 * (b) ^ t
To calculate t we use a point in the table.
We have:
(t, y) = (1, 28.5)
Substituting:
28.5 = 30 * (b) ^ 1
b = 28.5 / 30
b = 0.95
Answer:
a. Decay factor is 0.95
Based on the information provided, the sum of all the labeled angles is 235° (option b).
<h3>How to calculate the sum of all labeled angles?</h3>
To calculate the sum of all the labeled angles we must add the different values of each labeled angle as shown below:
80° + 92° + 40° + 23° = 235°
According to the above, it can be inferred that the correct option is B because the result of the sum of the values coincides with this sum.
Learn more about degrees in: brainly.com/question/1217620
#SPJ1
So the equations are:
y= 3x + 3
y= x- 1
By the transitive property, we know x-1= 3x+3 (Transitive property means if a= b, and b= c, shouldn't a = c if they both equal b?)
so, x- 1= 3x + 3. Now we isolate x and solve:
+1 +1
x= 3x+ 4
-x -x
0 = 2x+ 4
-4 -4
-4 = 2x
/2 /2
x= -2
Now, you can plug that back in to find y:
y = x- 1
y= -2 -1
y= -3
Then plug them both in to make sure it is correct. :o)
I think the length of pool in inches is actually 12*12=144 because there are 12 inches in a foot.
Also, the scale factor would be 144/16 = 9.
