Iteration - Maths Question attached

Mathematics

1 answer:

Ivanshal [37]3 years ago

8 0

Answer:

7.8

Step-by-step explanation:

First I will try 50. I got 127,550, so that was way too big.

Let me try a smaller number. How about 5. I got 155, so that was a bit too small.

Now I'll try 20. I got 8420. Looks like the number is between 5 and 20.

How about 7. I got 399.

Let me try 8. I got 584! That's really close. It's just a little too big.

I tried 7.5, and got 485.624. So close! Just a little higher.

Putting in 7.8 yields <u>543.192!</u> That's our answer.

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Simplify. 17 – 6 × 10 ÷ 2 + 12

Katarina [22]

Use PEMDAS.

17-(6×10÷2)+12

6×10=60 divide by 2 to get 30

now: 17-30+12
17-30=-13
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3 years ago

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What’s the inverse of y=4x^2-2

slavikrds [6]

Interchange the x and y and solve for the resulting y.
x = 4y^2 - 2
(x + 2) = 4y^2
(x + 2)/4 = y^2
+/- sqrt(x + 2)/2 = y

The graph of these two is below.

The original is in red
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3 years ago

What is the value of h(a) when a = 2 in the

Ivahew [28]

<h3>Answer: 3</h3>

=========================================================

Explanation:

This is the given piecewise function

$h(a) = \begin{cases}3a+2 \text{ when } a > 3\\4a+5 \text{ when } a = 3\\3 \text{ when } a < 3\\\end{cases}$

We can rewrite things like this

$\text{when } a > 3, \ \ h(a) = 3a+2\\\text{when } a = 3, \ \ h(a) = 4a+5\\\text{when }a < 3, \ \ h(a) = 3\\$

I personally prefer this format better because it mentions the inputs first, and that leads to which function definition we go for.

The input a = 2 fits the description of $a < 3$ since $2 < 3$ is a true statement. Therefore we go for the third line and can see that $h(a) = 3$ becomes $h(2) = 3$