The equation is asking for you to write out an equation y= x + b. The equation should be y= 2x - 1
Answer:
arc AB = 3.14 in
Step-by-step explanation:
circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in
arc AB = (30°/360°)(37.68) = 3.14 in
To find the vertex of a quadratic function, you need to 'complete the square';
Completing the square gives a quadratic in another form;
For quadratics that have an x² coefficient of 1 as is the case, it is a simple matter to complete the square:
For the quadratic x² + bx + c
Simply, put x added to half the coefficient of the x term (b/2) in a bracket and square the bracket;
Then add the constant (c) and the square of the half the coefficient of the x term (b/2), so:
(x + d)² + e, where d is a (rational) number to be identified;
d = b/2
e = d² + c
So, for f(x) = x² + 0x + 3:
Then the completed-the-square form is: f(x) = (x + 0)² + 3
As it happens, this quadratic function has a common normal form and completed-the-square form because the x-coefficient is 0.
The vertex coordinates are, according to the general format given above:
(-d, e).
So, looking at completed-the-square form for the function in question, we can tell the vertex is at the coordinates: (0, 3)
Quadratic functions always have symmetry about the vertical line with the x-coordinate of the vertex;
This makes sense if you think about how the graph looks (u-shaped);
Therefore for our function, the vertex is:
x = 0 (a vertical line with the x-coordinate of the vertex).
Answer:
60%, 0.62, 0.625
Step-by-step explanation:
Step 1: Convert 5/8 to decimal form.
In order to convert a fraction to a decimal, we divide the numerator (top) by the denominator (bottom). By dividing 5 by 8, we can get the fraction 5/8 in decimal form, which is 0.625
Step 2: Convert 60% to decimal form.
In order to convert a percentage to a decimal, all we have to do is move the percentage's decimal point two spots to the left. Since 60% shows us no decimal point, we can assume that it comes directly after the 0, or 60.0%. After moving the decimal point two spaces to the left, we find that 60% = 0.60 in decimal form.
Step 3: Compare the numbers.
Since 0.62 is already in decimal form, we don't need to make any changes. This means that we can compare the numbers we just found as well as 0.62. Since our numbers would be 0.625 (5/8), 0.60 (60%), and 0.62, from least to greatest we would get 60%, 0.62, 0.625
