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Fantom [35]
3 years ago
11

‍♀️always have problems with these

Mathematics
2 answers:
inysia [295]3 years ago
5 0
I hope that my hand writing is clear.

Lana71 [14]3 years ago
4 0

y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have:

(1,\ 5)\to x_1=1,\ y_1=5\\(2,\ 2)\to x_2=2,\ y_2=2

Susbstitute:

m=\dfrac{2-5}{2-1}=\dfrac{-3}{1}=-3

y=-3x+b

Susbtitute the coordinates of the point (2, 2) to the equation:

2=(-3)(2)+b\\\\2=-6+b\ \ \ \ |+6\\\\b=8

<h2>Answer: y = -3x + 8</h2>
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What is the error due to using linear interpolation to estimate the value of sinxsin⁡x at x = \pi/3? your answer should have at
Bad White [126]
<h3>Answer:</h3>
  • using y = x, the error is about 0.1812
  • using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>Step-by-step explanation:</h3>

The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.

If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...

... x -sin(x) @ x=π/3

... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812

You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.

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If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...

... (x+1-π/4)/√2 -sin(x) @ x=π/3

... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620

6 0
3 years ago
X+2 (4-x) = 2x + 6 - 3x<br>Is this Infinitely Many Solutions <br>One solution <br>Or no solution
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Answer:

No solutions

Step-by-step explanation:

hope this helps!

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3 years ago
Jason has $90 to spend. He wants to purchase a bag for $30, one eraser for $10, and three pencils. Each of the pencils costs the
snow_tiger [21]
90 = 30+10+3x

This equation shows that all the prices of the the bag, eraser, and pencils equals $90. So now all we have to do to find the price of a pencil is solve the equation.

First add the 30 and 10 together.

90 = 40+3x

Then subtract 40 from each side

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Lastly divide each side by 3

x = 16.67

The price per pencil is $16.67

Hope this helps!
4 0
4 years ago
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Describe a situation that can be represented by the expression 4(-2)
aliya0001 [1]
Every time you go to the store you lose 2 dollars and you went to the store 4 times.
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3 years ago
Please answer this Calculus 1 question I really need help will give Braniliest five stars!
VARVARA [1.3K]

Answer:

Step-by-step explanation:

Let's first subtitute e^{7xcosx} with g(x)

This will turn the problem into

y = e^{g(x)}

Using the chain rule, we will find that the derivative of this function, y', is represented by the following:

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Plugging these functions back into the original subtitution will give you the final answer:

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3 years ago
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