Answer: $0.3
Step-by-step explanation:
Given
The owner buys 144 pens for $28.80 i.e. each pen costs
owner sells the pen at $0.4 i.e. price marked up by
So, the claim of the owner is incorrect
The actual increase in the price to get 50% markup
Split the second term 7x^2 - 8x - 12 into two terms
7x^2 + 6x - 14x - 12
Factor out common terms in the first two terms, then in the last two terms
x(7x + 6) - 2(7x + 6)
Factor out the common term; 7x + 6
<u>(7x + 6)(x - 2) </u>
Answer:
k = - , k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = -
k - 2 = 0 ⇒ k = 2
<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - -
</h3>
➷ When it comes to dividing fractions, there is a rule you must now.
It's called Keep Flip Change.
I'll give you an example:
Keep the first fraction exactly as it is
Flip the second fraction upside down (switch the numerator and denominator around)
Change the sign to a multiplication.
This is how it should look:
Now you just multiply them as you normally would to get an answer of:
➶Hope This Helps You!
➶Good Luck :)
➶Have A Great Day ^-^
↬ Hannah ♡
Answer:
46.6 ft/sec (to the nearest tenth)
Step-by-step explanation:
There's a common identity useful here: 60 mph = 88 ft/sec.
Mult. 31.8 mph by the conversion factor (88 ft/sec) / (60 mph), obtaining:
46.64 ft/sec.