Expression: 5x + 12
Coefficients (The number directly next to the variable): 5
Variable (A letter that stands for a unknown number): x
Term (A single mathematical expression): 5x , 12
Constant (A term that has no attached variables): 12
Parallel graphs have the same slope. perpendicular has opposite reciprocal slopes. These equations have slopes of -2/5 and 25 so they are neither.
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➷ Use the simultaneous equations method:
x - 4y = 6
3x + 4y = 10
Add these two equations together to cancel out 'y':
4x = 16
Divide both sides by 4:
x = 4
substitute this value into one of the equations:
(4) - 4y = 6
Subtract 4 from both sides:
- 4y = 2
Divide both sides by -4:
y = -0.5
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Calculation of relative maxima and minima of a function f (x) in a range [a, b]:
We find the first derivative and calculate its roots.
We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
f '' (a) <0 is a relative maximum
f '' (a)> 0 is a relative minimum
Identify intervals on which the function is increasing, decreasing, or constant. G (x) = 1- (x-7) ^ 2
First derivative
G '(x) = - 2 (x-7)
-2 (x-7) = 0
x = 7
Second derivative
G '' (x) = - 2
G '' (7) = - 2 <0 is a relative maximum
answer:
the function is increasing at (-inf, 7)
the function is decreasing at [7, inf)
Answer:
Step D is incorrect it is 19/24 not 20/24
Step-by-step explanation: