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Volgvan
2 years ago
12

Use the expression 5(6 + 4x) to answer the following: Part A: Describe the two factors in this expression. (4 points) Part B: Ho

w many terms are in each factor of this expression? (4 points) Part C: What is the coefficient of the variable term? (2 points) Source StylesFormatFontSize
Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

Answer:

Part A: The two factors are 6 and 4x. Part B: Question is confusing Part C: The coefficient of the variable is 4.

Step-by-step explanation:

Factors are what gets multiplied to give a product, therefore, 6 and 4x are the products as they are both being multiplied by 5. I don't understand what you are asking for part b. Part C, the coefficient is any number that is multiplied with the variable next to in. For example, in 16x, 16 is the coefficient and x is the variable. In 9y, 9 is the coefficient and y is the variable.

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Evaluate the surface integral. ??s (x2 y2 z2 ds s is the part of the cylinder x2 y2 = 4 that lies between the planes z = 0 and z
kondor19780726 [428]
The surface S can be parameterized by

\mathbf r(\theta,z)=(2\cos\theta,2\sin\theta,z)

where 0\le\theta\le2\pi and 0\le z\le2. Then the surface integral can be computed with

\displaystyle\iint_S(x^2+y^2+z^2)\,\mathrm dS
\displaystyle=\int_{\theta=0}^{\theta=2\pi}\int_{z=0}^{z=2}(4\cos^2\theta+4\sin^2\theta+z^2)\|\mathbf r_\theta\times\mathbf r_z\|\,\mathrm dz\,\mathrm d\theta=\dfrac{128\pi}3
6 0
3 years ago
I really need the help please and thank you
Umnica [9.8K]

Answer:

B.  f^{-1}(x)=\frac{x-4}{5}

Step-by-step explanation:

To find the inverse of a function/equation:

  1. Replace f(x) with y: y=5x+4
  2. Switch x and y: x=5y+4
  3. Solve for y: x-4=5y   ->    y=\frac{x-4}{5}
  4. Write in standard inverse notation: f^{-1}(x)=\frac{x-4}{5}

I hope this helps!!

gl!

3 0
2 years ago
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
andrew11 [14]

Differentiating both sides of

x^2 + 2xy - y^2 + x = 20

with respect to x yields

2x + 2y + 2x \dfrac{dy}{dx} - 2y \dfrac{dy}{dx} + 1 = 0 \\\\ \implies (2x-2y) \dfrac{dy}{dx} = -1 - 2x - 2y \\\\ \implies \dfrac{dy}{dx} = \dfrac{1 + 2x + 2y}{2(y-x)}

At the point (3, 4) (so x=3 and y=4), the tangent line has slope

\dfrac{dy}{dx} = \dfrac{1 + 2\times3 + 2\times4}{2(4-3)} = \dfrac{15}2

Then the tangent line to (3, 4) has equation

y - 4 = \dfrac{15}2 (x - 3) \implies \boxed{y = \dfrac{15}2 x - \dfrac{37}2}

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vladimir2022 [97]

Answer:

Step-by-step explanation:

100% divided by 4 is 25%

25 books were 1/4 of the books total.

the other 3/4 would be 75%

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What percent less parakeets are there then dogs
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67%
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