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2 years ago

Find the equation of the linear function represented by the table below in the slope-intercept form.

Mathematics

2 answers:

MAXImum [283]2 years ago

6 0

Answer:

y=x-32

Step-by-step explanation:

y=mx+b where m is the slope and b is the y-intercept.

slope=change in y/change in x

=5/5

y=5x+b --> choose a random point

(7,3) ---> 3=5(7)+b=35+b

b= -32

y=x-32

White raven [17]2 years ago

5 0

The correct answer is X = -32

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Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge

tresset_1 [31]

Answer:

Radius of the convergence is R = $\frac{1}{21}$

and,

The Interval of convergence is $-\frac{1}{21}$

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = $\lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|$

R = $\lim_{n \to \infty} |\frac{21x^{k}\times21x^{1}}{21x^{k}}|$

R = $\lim_{n \to \infty} |21x^{1}|$

now,

for convergence R|x| < 1

Therefore,

$\lim_{n \to \infty} |21x^{1}|$ < 1

$-\frac{1}{21}$

and,

Radius of the convergence is R = $\frac{1}{21}$

and,

The Interval of convergence is $-\frac{1}{21}$

8 0

2 years ago

Find the 10th term of an arithmetic sequence if the common difference is 32 and the first term is 2

zaharov [31]

Answer:

290

Step-by-step explanation:

If the first term is 2 and the common difference is 32, then the formula for a(n) is:

a(n) = 2 + 32(n-1).

Thus, the 10th term is a(10) = 2 + 32(10-1) = 2 + 32(9) = 290

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Dimas [21]

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gogolik [260]

Answer:

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Step-by-step explanation:

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