Given: y = 100 - 2x
New: y = 100 - 2(x + 3)
= 100 - 2x - 6
= 94 - 2x
The original equation had a y-intercept of 100. The new equation has a y-intercept of 94. The y-value changes -6 units
Answer: -6
Answer:
That would be 2/3
Step-by-step explanation:
1/3 would be the first line after 0 and 3/3 is = to 1 so the correct answer is 2/3
Answer:
The rate of change of each circular surface of the dough is approximately 150.796 in.²/minute
Step-by-step explanation:
The given parameters are;
When the radius of the dough, r = 12 inches, the radius is increasing at 2 inches per minute
Therefore, we have;
dr/dt = 2 in./min
The area of the circular surface of the dough, A = π·r²
The rate of change of each (top or bottom) circular surface area of the dough dA/dt is given as follows;
dA/dt = d(π·r²)/dt = π·2·r·dr/dt
Where;
r = 12 in.
dr/dt = 2 in./min
Substituting, we have;
dA/dt = π·2·r·dr/dt = π × 2 × 12 in. × 2 in./min ≈ 150.796 in.²/minute.
The rate of change of each circular surface of the dough = dA/dt ≈ 150.796 in.²/minute.
Exponents help to get to the answer if you are doing an equation, They are meant to tell you and help you with the proper order of pemdas!
Answer:
12x =102-6
x=96/12
x=8 is the correct answer
