Quadratic Formula:
-b +/- √b² - 4ac
x = --------------------------
2a
In your equation 3x² + 5x + 2 = 0:
a = 3
b = 5
c = 2
Now, plug in these values into the formula.
-5 +/- √5² - 4(3)(2) -5 +/- √25 - 4(6)
x = -------------------------------- ⇒ x = -----------------------------
2(3) 6
-5 +/- √25 -24 -5 +/- √1 -5 +/- 1
x = ------------------------ ⇒ x = --------------- ⇒ x = --------------
6 6 6
-5 +/- 1
Split x = ------------ into two solutions by solving it.
6
-5 + 1 -4
x = ------------ = ------
6 6
-5 - 1 -6
x = ----------- = ------ = -1
6 6
The two final solutions are x = -1 and x = -4/6
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
Ok, so the equation would be 6-2*12+5. The answer to that is -13.
Step-by-Step Explanation:
You would use PEMDAS. First, you multiply 2 and 12 and that's 24. Now your equation is 6-24+5. Then you subtract 6 and 24 and that's -18. Now your equation is -18+5, and the answer to that equation is -13. I hope this helps you!!
Answer:
1: No, they're not similar polygons
2: Yes, they're similar polygons
Step-by-step explanation:
1: DF/AC = 8/6 = 1.3repeating
FE/CB = 6/4 = 1.5
there is no constant of proportionality
2: 48/40 = 1.2
35/30 = 1.2
the constant of proportionality is 1.2
Answer:
<u>23 consumer.</u>
Step-by-step explanation:
Given:
Number Of Responses for Thirsty = 49
Number Of Responses for Clean = 24
Number Of Responses for Strong Ones = 15
Number Of Responses for PowerWash = 12
So,
The total number of Responses = 49 + 24 + 15 + 12 = 100
So, the probability to prefer PowerWash = 12/100 = 0.12
For a group of 195 consumers:
prediction to prefer PowerWash paper towels = 0.12 * 195 = 23.4
So,
The number of consumers prefer PowerWash paper towels = <u>23 consumer</u>
