Answer:
It can be determined if a quadratic function given in standard form has a minimum or maximum value from the sign of the coefficient "a" of the function. A positive value of "a" indicates the presence of a minimum point while a negative value of "a" indicates the presence of a maximum point
Step-by-step explanation:
The function that describes a parabola is a quadratic function
The standard form of a quadratic function is given as follows;
f(x) = a·(x - h)² + k, where "a" ≠ 0
When the value of part of the function a·x² after expansion is responsible for the curved shape of the function and the sign of the constant "a", determines weather the the curve opens up or is "u-shaped" or opens down or is "n-shaped"
When "a" is negative, the parabola downwards, thereby having a n-shape and therefore it has a maximum point (maximum value of the y-coordinate) at the top of the curve
When "a" is positive, the parabola opens upwards having a "u-shape" and therefore, has a minimum point (minimum value of the y-coordinate) at the top of the curve.
Step-by-step explanation:
The problem asks to find the values "b" and "c" in a way that
the solutions of the equation |x - b| = c are x= 1/2 and x= -1/3.
It means that "b" is the center of the segment [-
].
This segment has the length 
Hence, the half of this length is 
.
Therefore, the center of the segment is 
Thus the value of "b" is found: it is b = 
.
Then the value of "c" is c =
.
Answer:
37.6
Step-by-step explanation:
x² = a² + b² - 2ab cos 140°
x² = 20² + 20² - 2(20)(20)(-0.766)
x² = 400 + 400 - 800(-0,766)
x² = 800 - (-612.835)
x² = 800 + 612.835
x² = 1412.835
x =√1412.835 = 37.6
W=-L+P/2
subtract L to the other side and then diving everything by 2 to get W by itself
3) Mathematical expression would be:
412 - 65 + 0.50x
Where, x = Number of Texts sent
4) Product means result after multiplication, sum after addition, quotient is the result of division with remainder, and difference is how far two numbers are in their magnitude.
"Per" tells us the magnitude for an Unit value.
5) Associative property = (a+b) + c = a+ (b+c)
Commutative property = a + b = b + a
Distributive Property = a(b+c) = ab+bc
They all have their unique characteristics and can be differentiated on that basis.
6) They all are same.
At the end, without parentheses and in proper symbol, it would be equal to -3/4
Hope this helps!
