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LiRa [457]
3 years ago
10

Simplify 5x - 7x - 8x +4

Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0
-10x+4.
5x-7x is -2.
-2x-8x is -10x.
you cannot simplify the 4

alternatively, you could write -10x+4 as
-2(5x-2)
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Multiply 613 by the reciprocal of −716.
IrinaVladis [17]
=613*-1/716
=-613/716
8 0
3 years ago
Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x/6x^2 +
timama [110]

Looks like your function is

f(x)=\dfrac x{6x^2+1}

Rewrite it as

f(x)=\dfrac x{1-(-6x^2)}

Recall that for |x|, we have

\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n

If we replace x with -6x^2, we get

f(x)=\displaystyle x\sum_{n=0}^\infty\frac(-6x^2)^n=\sum_{n=0}^\infty (-6)^n x^{2n+1}

By the ratio test, the series converges if

\displaystyle\lim_{n\to\infty}\left|\frac{(-6)^{n+1} x^{2(n+1)+1}}{(-6)^n x^{2n+1}}\right|=6|x^2|\lim_{n\to\infty}1=6|x|^2

Solving for x gives the interval of convergence,

|x|^2

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.

3 0
2 years ago
Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. Received prope
Hitman42 [59]

Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

179 out of 523 members indicated they would buy the new product at the proposed price, hence:

\pi = \frac{179}{523} = 0.3423

Then the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830

More can be learned about the z-distribution at brainly.com/question/25890103

4 0
2 years ago
Please help me! It’s due soon!
Ugo [173]
9/20 because if you count the red and blue out of the 20, theres 9. So you have a 9/20 chance it will hit red or blue.
8 0
3 years ago
5 points Two lines are represented by equations: 10x - 15y = 21 and y = kx + 5. What value of k will make lines perpendicular?​
Wewaii [24]

Answer:

Step-by-step explanation:

10x - 15y = 21

15y = 10x - 21

y = ⅔x - 7/5

slope of line is ⅔

slope of any perpendicular to line is -3/2

y = kx + k

slope of line is k

k = -3/2

4 0
3 years ago
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