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VashaNatasha [74]
3 years ago
6

2 for $9. what is the unit price?

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
5 0
9/2
4.50

Hope this helped!
Dafna11 [192]3 years ago
5 0
$4.50 is ur answer all u do is 9 divided by 2
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PLEASE HELP!!!!<br> Which of these pair of functions are inverse functions?
Mamont248 [21]

Answer:

Option B and C are correct.

Step-by-step explanation:

Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:

f(g(x)) = g(f(x)) = x for every x∈R.

Let f(x) = \frac{1}{2}(\ln(\frac{x}{2}) -1) and g(x) = 2e^{2x+1}

Use logarithmic rules:

  • ln e^a = a
  • e^{lnx} = x
  • \ln a^b = b\ln a

then, by definition;

f(g(x)) = f(2e^{2x+1}) =\frac{1}{2}(\ln(\frac{2e^{2x+1}}{2})-1) = \frac{1}{2}(\ln(e^{2x+1}}){-1) = \frac{1}{2} (2x+1-1) =\frac{1}{2}(2x) = x

g(f(x)) = g(\frac{1}{2}(\ln(\frac{x}{2}) -1)) = 2e^{2({\frac{1}{2}(\ln(\frac{x}{2}) -1})+1 2e^{(\ln(\frac{x}{2}) -1+1}=2e^{\ln(\frac{x}{2})} =2\cdot \frac{x}{2} = x

Similarly;

for f(x) = \frac{4 \ln(x^2)}{e^2} and g(x) = e^{\frac{e^2 \cdot x}{8} }

then, by definition;

f(g(x)) = f(e^{\frac{e^2 \cdot x}{8}}) =\frac{4 \ln {(\frac{e^2 \cdot x}{8})^2}}{e^2} = \frac{8 \ln {(\frac{e^2 \cdot x}{8})}}{e^2} =\frac{8\frac{e^2\cdot x}{8} }{e^2}=\frac{8e^2 \cdot x}{8e^2}=x

Similarly,

g(f(x)) = x

Therefore, the only option B and C are correct. As the pairs of functions are inverse function.

3 0
3 years ago
-6+3k-8k+2 simplify the expressions
HACTEHA [7]

-6+3k-8k+2

Combine like terms

3k - 8k = -5k

-6 + 2 = -4

-5k - 4 is your expression.

hope this helps

6 0
3 years ago
Which is bigger negative 4 or negative 5
VladimirAG [237]
The answer would be - 4, since as negative numbers move away from zero, their value will get smaller and smaller as opposed to positive numbers which gets bigger and bigger as it moves away from zero.
6 0
3 years ago
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(a²b²-c²)(a²b²+c²)<br>simplify​
liraira [26]

Answer:

a⁴b⁴ - c⁴

Step-by-step explanation:

The difference of squares formula states that (a - b)(a + b) = a² - b². In this case, a = a²b² and b = c² so a² - b² = (a²b²)² - (c²)² = a⁴b⁴ - c⁴.

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3 years ago
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Answer:

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Step-by-step explanation:

use distance formula

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