Answer:
x = 2.36603 or 0.633975
Step-by-step explanation:
Here we want to solve the quadratic equation using the completing the square method.
2x^2-6x + 3 = 0
divide through by 2 first;
x^2 -3x + 3/2 = 0
x*2 -3x = -3/2
Half the x term will be -3/2 and squaring it is 9/4
we add this to both sides
x^2-3x/2 + 9/4 = -3/2 + 9/4
(x-3/2)^2 = 3/4
Finding square root of both sides
x-3/2 = √(3/4)
x = 3/2 ± √(3/4)
x = 3/2 + √(3/4) or x = 3/2-√(3/4)
which becomes
x = 2.36603 or 0.633975
Answer: y = 1.231x + 1.385, = .703, r = .839
Step-by-step explanation:
If you plug these points into a TI-84 and use the linear regression function, you'll get this result.
Answer:
360 Employees
Step-by-step explanation:
Number of employees who chose gift card / Number of total employees
= 90 / 150
Now, we have to figure out in x / 600 when the x represents the number of employees choosing gift card when there are 600 employees in total.
90 / 150, x / 600
-> cross multiply
54,000 = 150x
Therefore 360 = x.
another way:
(multiply the total number of employees in both ratios) 600 / 150 = 4
Now we multiply 4 by 90 (number of employees choosing gift card)
4*90 = 360
<h3>
Hello there!</h3>
Let's look at all the information given to us.
- The tank can hold 13.5 gallons
- It is 2/3 full
And now the question it's asking.
- How many gallons to fill it?
Essentially, it's asking how to make the tank 100% full when it's already 2/3 of the way full.
To solve:
What fraction of the tank needs to be filled up?
100% is also equal to 3/3.
The difference between 2/3 and 100% therefore, can be rewritten as the difference between 3/3 and 2/3. Then it's clearer that the amount the tank needs to be filled is 1/3 of it's maximum capacity.
The maximum capacity is 13.5 gallons.
What's 1/3 of 13.5? To get that, multiply 1/3 by 13.5, to get 4.5.
Therefore, 4.5 is 1/3 of 13.5, and is therefore the amount of gasoline the tank needs to be filled up.
Your answer is 4.5 gallons.