Answer:
-9
Step-by-step explanation:
Substitute the give values into the correct place in the equation.
Since x=2, y=3,
Place "2" in the x of the equation, and "3" into the y of the equation.
x²-5y+2
= 2² - 5(3) + 2
= 4 - 15 + 2
= -9
Answer:
225 m²
Step-by-step explanation:
If W is the width of the rectangle, and L is the length, then:
60 = 2W + 2L
A = WL
Use the first equation to solve for one of the variables:
30 = W + L
L = 30 − W
Substitute into the second equation:
A = W (30 − W)
A = 30W − W²
This is a parabola, so we can find the vertex using the formula x = -b/(2a).
W = -30 / (2 × -1)
W = 15
Or, we can use calculus:
dA/dW = 30 − 2W
0 = 30 − 2W
W = 15
Solving for L:
L = 30 − W
L = 15
So the maximum area is:
A = WL
A = (15)(15)
A = 225
Answer:
x = 33
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
x+114+33 = 180
Combine like terms
x+147 = 180
Subtract 147 from each side
x+147-157 = 180-147
x = 33
Answer:
There is no short answer.
Step-by-step explanation:
To find to intervals which f(x) increases or decreases, we first need to find it's derivative.
The function is increasing when it's value is > 0 and decreasing when it's value is < 0.
If we take a look at this graph, cosx+sinx is positive when they are both positive or when cosx is greater then sinx on the negative part.
I hope this answer helps.
