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elena-s [515]
2 years ago
8

Travis has 6 engineering books to line up on a shelf. kelly has 4 finance books to line up on a shelf. if all the books are diff

erent, in how many more orders can travis line up his books than kelly?
Mathematics
1 answer:
finlep [7]2 years ago
3 0
The number of ways 6 different objects can be arranged in a row is given by 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

The number of ways 4 different objects can be arranged in a row is given by 4! = 4 x 3 x 2 x 1 = 24

Therefore, the number of ways which Travis can order his books more than that of Kelly is given by 720 - 24 = 696. 
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Use the quadratic function f(x) = 2x^2 + 4x - 15. Find any x intercepts.
8_murik_8 [283]

So for this function we will be using the quadratic formula, which is x=\frac{-b+\sqrt{b^2-4ac}}{2a},\frac{-b-\sqrt{b^2-4ac}}{2a} , to solve. a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, we can solve for the zeros (x-intercepts) as such:

x=\frac{-4+\sqrt{4^2-4*2*(-15)}}{2*2},\frac{-4-\sqrt{4^2-4*2*(-15)}}{2*2}\\ \\ x=\frac{-4+\sqrt{16-(-120)}}{4},\frac{-4-\sqrt{16-(-120)}}{4}\\ \\ x=\frac{-4+\sqrt{136}}{4},\frac{-4-\sqrt{136}}{4}\\ \\ x=1.92,-3.92

In short, your x-intercepts (rounded to the hundredths) are (1.92,0) and (-3.92,0).

6 0
3 years ago
Braydon is performing the four arithmetic operations on 14 and 2.
Studentka2010 [4]
Well, let's just solve all these darn operations!

<em>14 + 2 = 16
</em><em>14 - 2 = 12
</em><em>14 * 2 = 28
</em><em>14 / 2 = 7
</em>
<em />So, what do you think the answer is? =)
7 0
2 years ago
A medium sized apple weighs 130 grams. How many apples are there in 1 kilogram?
Anuta_ua [19.1K]
<span>7.6 so i would say 7 medium and 1 small or 8 medium apples

</span>
4 0
3 years ago
Read 2 more answers
I need to find the points for a graph asap by finding the asymptote!!!
Korvikt [17]

Answer:

y=0

Step-by-step explanation:

Exponential functions, always have a horizontal asymptote. A function of the form f(x) = a (b^x) + c always has a horizontal asymptote at y = c. In this case the function is

y=3^{x+2} \\\\We\ can\ rewrite\ it\ like\\\\\y=3^x.3^2\\y=9(3^x)

so it doesn't have a +c which means the horizontal asymptote is y = c = 0

y = 0 is the horizontal asymptote

8 0
2 years ago
Karl bought ​ 3 1/2 ​ gallons of milk that cost $2.70 per gallon.
Goshia [24]
The total cost would be $9.45
7 0
3 years ago
Read 2 more answers
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