Answer:
see explanation
Step-by-step explanation:
Check the value of the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real
• If b² - 4ac = 0 roots are real and equal
• If b² - 4ac < 0 then roots are not real
given (x - a)(x - b) = k² ( expand factors )
x² - bx - ax - k² = 0 ( in standard form )
x² + x(- a - b) - k² = 0
with a = 1, b = (- a - b), c = -k²
b² - 4ac = (- a - b)² + 4k²
For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0
Hence roots of the equation are always real for a, b, k ∈ R
(33/4) / (2/8)
when dividing with fractions, flip what u r dividing by, then multiply
33/4 * 8/2 = 66/2 = 33...hmm...not an answer choice
let me try something..
(3 3/4) / (2/8) =
15/4 * 8/2 =
30/2 =
15 <====possibly this one if ur problem is : (3 3/4) / (2/8)
Answer:
$42
Step-by-step explanation:
Given that,
Galore Super Store buys the latest video game at a wholesale price of $30.00.
The markup rate at Game's Galore Super Store is 40%.
We need to find the price from the store. It can be calculated as follows :
Hence, we will pay $42.
D or the last dot how ever you wanna describe it
Answers:
1.) 18 lemons
2.) 80 minutes
Explanation:
Porportions are a lot like fractions. For the first question, you can make the fraction 6/8, or 3/4 simplified. This means that for every 8 cups of water, you need 6 lemons.
Then, to find the amount of lemons you need if you have 24 cups of water, you need to think about what×8= 24. If we divide 24 by 8, we get 3, so if we multiply our fraction by 3/3, we should get the answer.
If we do 6/8 × 3/3, we get 18/24. This means that we need 18 lemons if we were to use 24 cups of water.
For the next question, our fraction 15/60, for 15 cakes baked in 60 minutes. Now we need to divide 20 cakes by 15.
This question is a little different from the first one because there will be a decimal involved. If we do 20/15, we get 1⅓. This means that this time, we will multiply 15/60 by (1⅓)/(1⅓).
If we multiply 60 by 1⅓, we get 80, which is the number of minutes needed to bake 20 cakes.
Hope this helps :)
