ANSWER:
The 1st one: -3x + y = 5
ABOUT STANDARD FORM:
- Ax + By = C
- A & B & C are integers
- A & B are both non - zero
- This form is good to use when wanting to find the x & y intercepts of a line
y - 2 = 3(x + 1) --- IN POINT SLOPE FORM
y - 2 = 3x + 3
+ 2 + 2
y = 3x + 5 --- IN SLOPE INTERCEPT FORM
-3x -3x
-3x + y = 5 --- STANDARD FORM
Hope this helps you!!! :)
Answer:
The constant of proportionality is 0.3, or K=0.3.
Step-by-step explanation:
The chart I attached shows points that are plotted on the proportional line. In order to find the constant of proportionality from these points, you have to divide the amount of change by the number of years. For example, 3 divided by 10 or 6 divided by 20. This results in 0.3, which means that every year, there is 0.3 centimeters of change in the sea level.
Answer:
45.27feet
Step-by-step explanation:
Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)
Note that the velocity of the balloon at maximum height is zero, hence;
v = dh/dt =0
-32t+28.7 = 0
-32t = -28.7
t = 28.7/32
t = 0.897secs
Get the maximum height
Recall that h=−16t²+28.7t+32.4
h = -16(0.897)²+28.7(0.897)+32.4
h= -12.87+25.74+32.4
h = 45.27feet
Hence the maximum height reached is 45.27feet
3x + 9 + 3x =15
6x + 9 = 15
- 9 = -9
6x = 6
/6 /6
X =1