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4 years ago

Solve for x. Round your answer to 2 decimal places.

Mathematics

1 answer:

Makovka662 [10]4 years ago

5 0

You add both numbers and subtract that from 90. 37+18=55. 90-55=35

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Solve the system of linear equations using multiplication. - 3x + 2y 5x - 3y = 17 The solution is

ladessa [460]

This is what i got X= 17/2 + Y/2

7 0

3 years ago

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Sun spot activity goes in an eleven-year cycle. The last cycle started in 2008 and ended in 2018. Here is the activity per year

KIM [24]

Answer:

19999999999

Step-by-step explanation:

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3 0

3 years ago

Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h

Gre4nikov [31]

Answer:

$\dfrac{1}{2\sqrt{x}}$

Step-by-step explanation:

$f(x) = \sqrt{x} = x^{\frac{1}{2}}$

$f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}$

We use binomial expansion for $(x+h)^{\frac{1}{2}}$

This can be rewritten as

$[x(1+\dfrac{h}{x})]^{\frac{1}{2}}$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}$

From the expansion

$(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots$

Setting $x=\dfrac{h}{x}$ and $n=\frac{1}{2}$ ,

$(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots$

$=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots$

Multiplying by $x^{\frac{1}{2}}$ ,

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots$

The limit of this as $h\to 0$ is

$\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}}$ (since all the other terms involve $h$ and vanish to 0.)

8 0

3 years ago

Create a multi-step equation where the answer is 17. Write the equation and then show

Tanya [424]

Answer:

(1 + 4²) x (√25) ÷ 10 x (√4) = 17

Step-by-step explanation:

(1 + 16) x (5) ÷ 10 x (2) = 17

(17) x (5) ÷ 10 x 2 = 17

(85 ÷ 10) x 2 = 17

(8.5) x 2 = 17

17 = 17

Hope this helps buddy!

7 0

3 years ago

Simplify. 7+3(2−1)^2

Katen [24]

Answer:

Step-by-step explanation:

2-1 =1

7+3 = 10

10(1)^2 =

10(1) =

4 0

4 years ago

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