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3 years ago

Simplify 3^23^53^-3

Mathematics

1 answer:

vlada-n [284]3 years ago

5 0

Answer:

3^ 4

Step-by-step explanation:

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Calculate the average rate of change of function on the interval (a,a+h). simplify your expression.Show all steps.

sammy [17]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

$f\left(x\right)=\frac{3x+2}{2x-1}$

at x₁ = a,

$f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}$

at x₂ = a+h,

$f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}$

Using the formula to determine the average rate of change

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

$=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:$

as a+h-a = h, so

$=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

Thus, the everarge rate of chnage: $\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

We can further simplify such as:

$=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

$=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}$

$=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}$

$=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}$

Cancel the common factor h

$=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}$

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3 years ago

Eva and her children went into a restaurant and where they sell

Sever21 [200]

Answer:

5 hotdogs and 2 tacos

Step-by-step explanation:

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4 years ago

If 3% of a number equals 1, find 12% of that number.

dybincka [34]

Answer:

Number is 4

Step-by-step explanation:

.03n = 1

n = 1/.03

.12 x (1/.03) = 4

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3 years ago

Tom is going to USA on holiday. he changes £500 to U.S dollar. the exchange rate is £1=$1. 51. how much dollar will he get

dangina [55]

500 x 1.51

=$755

∴ He will get $755.

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3 years ago

What foreign language is this bro (requires answer for part a and b )

kotegsom [21]

Given

a) x+x+x+x+x+x

b) 30y-12

Find

Equivalent expressions

Explanation

a) x + x + x + x + x + x = 6x

b) 30y-12 = 6(5y-2)

$\begin{gathered} 30y-12 \\ 6\cdot5y-6\cdot2 \end{gathered}$

Final Answer

a) the equivalent expression is 6x .

b) the equivalent expression is

$\begin{gathered} 6\cdot5y-6\cdot2 \\ and \\ 6(5y-2) \end{gathered}$

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2 years ago

Simplify 3^2*3^5*3^-3

Simplify 3^23^53^-3