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2 years ago

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Mathematics

2 answers:

Delvig [45]2 years ago

5 0

Answer:

A y = -4x + 2

Step-by-step explanation:

1) x, y = -2, 10

y = -4x + 2

y = -4 . -2 + 2

y = 8 + 2

y = 10

2) x, y = 0, 2

y = -4x + 2

y = -4 . 0 + 2

y = 2

3) x, y = 1, -2

y = -4x + 2

y = -4 . 1 + 2

y = -4 + 2

y = -2

4) x, y = 3, -10

y = -4x + 2

y = -4 . 3 + 2

y = -12 + 2

y = 10

<h3>#CMIIW</h3>

Nuetrik [128]2 years ago

4 0

Answer:

The answer is option A

y=-4x+2

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Which of the following geometric series converges?

Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is

$S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}$

Multiply both sides by r :

$rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n$

Subtract the latter sum from the first, which eliminates all but the first and last terms:

$S_n-rS_n=a-ar^n$

Solve for $S_n$ :

$(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}$

Then as gets arbitrarily large, the term $r^n$ will converge to 0, leaving us with

$S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}$

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0

2 years ago

Help please!!!!!! And explain ur answer.. I will mark as BRAINLIEST.

Musya8 [376]

Answer:

The total earning of commission on sales of 85, 000 will be:

$3500+1050=4550$

Step-by-step explanation:

Total sales earning = 85,000

As salesperson earns 5% commission the first 70,000.

$\frac{5}{100}\:\times \:70\:000=3500$

As the salesperson earns 7% commission on the sales over 70,000.

As 15000 is the sales earning on which he will get commission 7%.

Because

85,000 - 70,000 = 15000

So the 7% earning of salesperson will on 15000 will be:

$\:\frac{7}{100}\:\times \:15\:000=1050$

Therefore, the total earning of commission on sales of 85, 000 will be:

$3500+1050=4550$

8 0

2 years ago

Student attendance at football games

Paladinen [302]

Collin's sampling method will better represent the entire population.

<h3>Missing part of the question</h3>

Determine which sampling method will better represent the entire population.

<h3>How to determine the better method?</h3>

From the question, we understand the Collin selected random names from the school directory.

While Karl surveyed only the students sitting close to him.

Karl's method is biased because students sitting far from him do not have a chance of being surveyed.

Hence, Collin's sampling method will better represent the entire population.

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