Answer:
Step-by-step explanation:
x^2 - 22x = 10
Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes
x^2 - 22x + (22/2)^2 = 10 + (22/2)^2
x^2 - 22x + (11)^2 = 10 + (11)^2
x^2 - 22x + (11)^2 = 10 + 121
x^2 - 22x + (11)^2 = 131
x^2 - 22x + 121^2 = 131
(x - 11)^2 = 131
Taking square root of both the left hand side and the right hand side of the equation, it becomes
x - 11 = ±√131
x - 11 = ±11.45
Adding 11 to the left hand side and the right hand side of the equation, it becomes
x - 11 + 11 = ±11.45 + 11
x = 11.45 + 11 or x = -11.45 + 11
x = 22.45 or x = - 0.45
Answer:
dependent
Step-by-step explanation:
These two events are dependent. When the ball is set aside, there are fewer balls to draw from, so the probability of getting a certain ball becomes greater.
<u>Part A</u>
<u />
<u>Part B</u>
The vertex of the graph will be a maximum because the leading coefficient is negative.
The x coordinate of the vertex is 
.
When x=15/8, 
.
So, the vertex has coordinates 
<u>Part C</u>
Plot the two x-intercepts and the vertex and then draw a curve in the shape of a parabola passing through them.
The graph is in the attached image.
Using exponential function concepts, it is found that the second function has a greater rate, as 0.8 > 0.2.
<h3>What is an exponential function?</h3>
It is modeled by:
In which:
- a is the initial value, that is, y when x = 0.
- b is the rate of change, as a decimal.
Function 1 is given by:
Hence the rate is b = 0.2.
Considering the values on the table, function 2 is given by:
Hence the rate is b = 0.8.
Hence, the second function has a greater rate, as 0.8 > 0.2.
More can be learned about exponential function concepts at brainly.com/question/14398287
The answer is 65
there are 10 millimeters in every centimeter...so to get the size of the grid, you multiply 260 x 10 to get 260 centimeters and then to see how many millimeters are in the 260 centimeter grid you multiply it by 260 by 10, which gives you 2,600 millimeters, so then all that is left to do is divide 2,600 millimeters by 40 millimeters for each of her 40 millimeter equilateral triangles to see how many will fit...the answer is 65 <span />
