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Alex73 [517]
2 years ago
10

For the given functions f (x), let x0 = 0, x1 = 0.6, and x2 = 0.9. construct interpolation polynomials of degree at most one and

at most two to approximate f (0.45), and find the absolute error

Mathematics
1 answer:
barxatty [35]2 years ago
6 0
Check the attached file for the solution.

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What is 528−−√+63−−√528+63 in simplest radical form?
Montano1993 [528]

Answer: 13\sqrt{7}

Step-by-step explanation:

In the simple radical form there are no square root is remain to find.

Since, the given expression,

5\sqrt{28} + \sqrt{63}

5\sqrt{4\times 7} + \sqrt{9\times 7}

5\sqrt{4} \times \sqrt{7} + \sqrt{9}\times \sqrt{7}

5\times 2 \times \sqrt{7} + 3\times \sqrt{7}

10 \sqrt{7} + 3\sqrt{7}

(10 + 3)\sqrt{7}

13\sqrt{7}

Since, we do not need to find further square root of 7.

Thus, the required radical form of 5\sqrt{28} + \sqrt{63} is 13\sqrt{7}.

6 0
2 years ago
Read 2 more answers
Marty and Ethan both wrote a function, but in different ways.
marishachu [46]

<em><u>Question:</u></em>

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

<em><u>Answer:</u></em>

Marty’s with a slope of 1/3 has the larger slope

<em><u>Solution:</u></em>

<em><u>Given that Marty equation is:</u></em>

y + 3 = \frac{1}{3}(x+9)

<em><u>The point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, "m" is the slope of line

On comapring both equations,

m = \frac{1}{3}

<em><u>Ethan wrote a function:</u></em>

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

<em><u>The slope is given by formula:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

From above two points,

(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)

Therefore,

m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2

Thus we get,

\text{Slope of Ethan} < \text{Slope of Marty}

Therefore, Marty’s with a slope of 1/3  has the larger slope

4 0
2 years ago
Read 2 more answers
Which expression entered into a graphing calculator will return the probability
pogonyaev

Answer:

It c

Step-by-step explanation:

I have done this before! Have a nice day!

4 0
1 year ago
Metallic colored plastic is being injected into molds to manufacture small beads for a crafts supplier. One of these beads is co
saveliy_v [14]

Answer:

Volume of Beads = 84 mm³

Step-by-step explanation:

Given:

Side of base = 6 mm

Height = 7 mm

Find:

Volume of Beads

Computation:

Volume of Beads = Volume of a square pyramid

Volume of Beads = [1/3][Area of base][h]

Volume of Beads = [1/3][6 x 6][7]

Volume of Beads = 84 mm³

3 0
2 years ago
Simplify fully 13/2x - 5/x
puteri [66]
Hello There!

Find the LCD:

It is 2x

13/2x - 10/2x

The answer is 3/2x

Hope This Helps You!
Good Luck :) 

- Hannah ❤
8 0
1 year ago
Read 2 more answers
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