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avanturin [10]
4 years ago
5

Evaluate 23x-1 for x = 1. 1 4 7 8

Mathematics
2 answers:
lianna [129]4 years ago
5 0

replace the value of x int eh equation

 so 23x-1 becomes

23(1.1478)-1

23*1.1478 = 26.3994-1 = 25.3994

Jobisdone [24]4 years ago
3 0

THE ANSWER IS 8 :)

Step 1: Simplify. Turn 2^3x-1 into 2^3(1)

Step 2: Multiply exponents. 3 times 1 is 3 so it simply becomes 2^3

Step 3: Solve. Multiply 2 by itself three times. By doing this, you get 8!

2x2x2=8

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Solve √5r - 9 - 3 = √r +4-2
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Answer:

  r = 5

Step-by-step explanation:

Solving radical equations often results in extraneous solutions. These can be avoided by using a graphing calculator for the solution.

<h3>Graph</h3>

The attached shows that the value of r that makes both sides of the equation have the same value is r = 5.

<em>Check:</em>

  √(5·5 -9) -3 = √(5 +4) -2   ⇒   4 -3 = 3 -2 . . . true

<h3>Analytical solution</h3>

Solution of an equation like this is typically done by isolating the radical expressions, then squaring the equation.

We can add 3, square the equation, then isolate the radical and square again:

  \displaysyle \sqrt{5r-9}-3=\sqrt{r+4}-2\\\\\sqrt{5r-9}=\sqrt{r+4}+1\qquad\text{add 3}\\\\5r-9=(r+4)+2\sqrt{r+4}+1\qquad\text{square both sides}\\\\(4r-14)^2=4(r+4)\qquad\text{subtract $(r+5)$ and square again}\\\\16r^2-116r+180=0\qquad\text{rewrite in standard form}\\\\4(4r -9)(r -5) = 0\qquad\text{factor}\\\\r=\{\dfrac{9}{4},\ 5\}\qquad\text{solutions to the factored form}

Trying these values in the original equation, we get ...

  √((5(9/4) -9) -3 = √(9/4 +4) -2   ⇒   1.5 -3 = 2.5 -2 . . . . . false

  √(5(5) -9) -3 = √(5 +4) -2   ⇒   4 -3 = 3 -2 . . . . . true

The solution is r = 5.

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