Answer:
<u>The solutions to this quadratic equation are 10 and 3.</u>
Step-by-step explanation:
1. Let's recall the formula for solving this type of equations, called quadratic equations:
x = ( - b +/- √ b² - 4ac)/ 2a
The equation given is x2 – 13x + 30 = 0,
where a = 1, b = - 13 and c = 30
Now replacing with the real values, we have
x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1
x = [ 13 +/- √ 169 - 120] / 2
x = [13 +/- √ 49]/ 2
x = [ 13 +/- 7 ]/ 2
<u>x₁ = 13 + 7/2 = 20/2 = 10</u>
<u>x₂ = 13 - 7/2 = 6/2 = 3</u>
Answer:\
3 inches does not even equal a whole yard it equals 0.08 of a yard
Answer:
Range: [-7, 8]
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a coordinate plane
- Range is the set of y-values that are outputted by function f(x)
- Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusion
Step-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
1/2 of $8.50 is $4.25
1/4 of $4.20 is $1.05
$5.30 w/o taxes
$5.74 is your answer
Answer:
Step-by-step explanation:
54 customers paid with cash
42 paid with debit card
153 paid with credit card
Add them up to find the total amount of people:
54 + 42 + 153 = 249
Now write 54(the number of customers who paid with cash) as a fraction over the total, 249.
54/249
So the probability that customers will pay cash is 54/249 or 18/83
