Step-by-step explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.
The probability that one of each color is selected is 
<h3>Probabilities</h3>
The probability of an event is the chances of the said event
The given parameters are:
- Total = 10
- Red = x
- Blue = 10 - x
<h3>Calculating the required probability</h3>
The probability that one of each color is selected is calculated as follows:

So, we have:

This gives

Take LCM

Simplify the above expression

Expand

Hence, the probability that one of each color is selected is 
Read more about probabilities at:
brainly.com/question/7965468
It should be noted that, according to the information provided, the single bar chart shows the projected proportion of sales based on the proportion of facings and the observed proportion.
Simply put, a bar chart is a bar graph. Rectangular bars that match the values shown are used to illustrate categorical data.
A bar chart, often known as a bar graph, is a diagram that displays categorical data as rectangular bars with heights or lengths proportional to the values they stand for. You can plot the bars either vertically or horizontally. A vertical bar chart may also be referred to as a column chart.
The bar chart's information reveals that the observed proportions for juice, mango, orange, apple, and pineapple are greater than the expected proportions.
Learn more about bar charts on:
brainly.com/question/17719884
#SPJ9
Answer:
a. x = 2 , x = -5
b. no real roots
Step-by-step explanation:
<u>a. x² + 3x – 10</u>
= x² - 2x + 5x - 10
= x (x²/x - 2x/x) + 5 (5x/5 - 2*5/5)
= (x - 2) (x + 5)
x - 2 = 0 x + 5 = 0
+ 2 +2 -5 -5
-------------- ---------------
x = 2 x = -5
x = 2 , x = -5
<u>b. 2x² - 4x + 3 </u>
This can't be solved because the equation has no real roots, and also the discriminant is negative.
Substitute the variable terms with the coordinates and the equation is
3=1/3(5)+b
solve for b