Answer:
1/4 of 17 =<em><u>4.25</u></em> in decimal form
1/3 of 7 = <u><em>2.3333</em></u> in decimal form
Step-by-step explanation:
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Answer:
(1, 0).
Step-by-step explanation:
Convert from standard form to vertex form by completing the square:
y = x² - 2x + 1
Move 1 to the other side:
-1 = x² - 2x
Complete the square. Remember to add to both sides:
-1 + (1) = x² -2x + 1
Simplify:
0 = (x - 1)²
The function in vertex form is:
y = (x - 1)²
Therefore, the vertex is:
(1, 0).
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.
X= -5
Convert the sentences into equations.
Set those equations equal to each other.
6x+21=3x+6
Solve for x.
Answer:
14
Step-by-step explanation:
8:14
8 adults 14 children
