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yKpoI14uk [10]
3 years ago
14

ANSWER THIS MATH QUESTION

Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>

Step-by-step explanation:

Using the formula of derivative, it can be easily shown that, \frac{d f(x)}{dx} = 2 where f(x) = x^{2}.

Here we need to show that as per the instructions in the given table.

Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = (1 + 0.01)^{2} - 1^{2} = 0.0201.

In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.

Hence, dividing Δy by Δx, we get, \frac{0.0201}{0.01} = 2.01.

Let's examine this taking a smaller value.

If we take Δx = 0.001, then Δy = 1.001^{2} - 1^{2} =  0.002001.

Thus, \frac{0.002001}{0.001} = 2.001.

The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.

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Answer:

  9(x +y)

Step-by-step explanation:

You observe that both terms have a coefficient of 9. The distributive property lets you factor that out, so you can rewrite the expression as ...

  9x +9y = 9(x +y)

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It might help to think of parentheses as a "bag." The expression 9(x+y) tells you the contents of one bag is (x+y) and you have 9 of them. You could think of x, and y as representing two different physical objects, for example, perhaps a ball and a cube.

The first expression, 9x +9y, tells you that you have 9 of each of these objects. The distributive property says this could be the result of dumping the contents of 9 bags, each containing one each of the objects. The expression 9(x+y) is the version of the expression that shows these objects as being grouped into 9 bags.

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3 years ago
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tabitha bought peppers that cost $0.79 per pound. she paid $3.95 for the peppers. How many pounds of peppers did she buy
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Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state thi
vladimir2022 [97]
The answer is x = 10, y = 10.

Step 1: rearrange the second equation for y.
Step 2: substitute y from the second equation into the first equation.
Step 3. Calculate y.

Step 1.
<span>The second equation is: 6x + 3y = 90
Divide both sides of the equation by 3:
(6x + 3y)/3 = 90/3
6x/3 + 3y/3 = 30
2x + y = 30
Rearrange the equation:
y = 30 - 2x

Step 2.
</span>Substitute y from the second equation (y = 30 - 2x) into the first equation:
<span>15x + 9y = 240
15x + 9(30 - 2x) = 240
15x + 270 - 18x = 240
15x - 18x = 240 - 270
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x = -30/-3
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Step 3.
Since </span>y = 30 - 2x and x = 10, then:
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6 0
3 years ago
True or false the foci of an ellipes can be outside the ellipes
Romashka-Z-Leto [24]

Answer:

false

Step-by-step explanation:

foci are usually in the ellipse. that foci is where the ellipse is drawn from

6 0
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