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RideAnS [48]
3 years ago
6

Explain how you know what number is missing in the equation 3,947 = 3,000 + +40+7

Mathematics
2 answers:
gavmur [86]3 years ago
7 0

Answer: 900

Step-by-step explanation:

Verdich [7]3 years ago
3 0

Answer:

900

Step-by-step explanation:

I'm gonna define the "missing number" as X, so it's easier.

3947 = 3000 + 40 + 7 + X

First, add all the numbers

3947 = 3047 + X

Now you've got that, to get the X value you've to leave X alone in a side of the equatioin, in our case we can subtract 3047 from each side. What ever you do in a side you've to do it the same at the other one.

3947 - 3047 = 3047 - 3047 + X

900 = X

Now we know the missing number is 900. Not sure about it? replace every X in the first equation with 900.

3000 + 40 + 7 + 900 = 3947, and that's correct.

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The graph of g(x) is a translation of y = 3/x
Crank

Answer:

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Step-by-step explanation:

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Plz help me, it's urgent​
antiseptic1488 [7]
The answer is this!

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9 halves of a cupcake for my family plus extra for my 6 friends how many should I<br> buy.
krok68 [10]

Answer :- 7½ or 8 ( explained below)

Explanation:-

Given :-

  1. 9 halves for family
  2. 6 halves for friends

So in total :- 15 halves for both of them

It means :- 7½ cupcakes in total u required

if u can buy an half cupcake then u need to buy :- 7½

If u can't but an half cupcake then u need to buy :- 8

7 0
2 years ago
Help!! Solve: 4d² + 19d -5 =0 Thanks!!
-BARSIC- [3]
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6 0
3 years ago
Find n for which the nth iteration by the Bisection Method guarantees to approximate the root of f(x) = 2x^2 − 3x − 2 on [−2, 1]
Lady_Fox [76]

Answer:

n = 29 iterations would be enough to obtain a root of f(x)=2x^2-3x-2 that is at most 10^{-8} away from the correct solution.

Step-by-step explanation:

You can use this formula which relates the number of iterations, n, required by the bisection method to converge to within an absolute error tolerance of ε starting from the initial interval (a, b).

n\geq \frac{log(\frac{b-a}{\epsilon} )}{log(2)}

We know

a = -2, b = 1 and ε = 10^{-8} so

n\geq \frac{log(\frac{1+2}{10^{-8}} )}{log(2)}\\n \geq 29

Thus, n = 29 iterations would be enough to obtain a root of f(x)=2x^2-3x-2 that is at most 10^{-8} away from the correct solution.

<u>You can prove this result by doing the computation as follows:</u>

From the information given we know:

  • f(x)=2x^2-3x-2
  • \epsilon = 10^{-8}

This is the algorithm for the Bisection method:

  1. Find two numbers <em>a</em> and <em>b</em> at which <em>f</em> has different signs.
  2. Define c=\frac{a+b}{2}
  3. If b-c\leq \epsilon then accept c as the root and stop
  4. If f(a)f(c)\leq 0 then set <em>c </em>as the new<em> b</em>. Otherwise, set <em>c </em>as the new <em>a</em>. Return to step 1.

We know that f(-2)=2(-2)^2-3(-2)-2=12 and f(1)=2(1)^2-3(1)-2=-3 so we take a=-2 and b=1 then c=\frac{-2+1}{2} =-0.5

Because 1-(-0.5)\geq 10^{-8} we set c=-0.5 as the new <em>b.</em>

The bisection algorithm is detailed in the following table.

After the 29 steps we have that 6\cdot 10^{-9}\leq 10^{-8} hence the required root approximation is c = -0.50

8 0
3 years ago
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