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3 years ago

Hello everyone, i am very confused by this question:

Mathematics

1 answer:

Lesechka [4]3 years ago

8 0

Answer:

Read the explanation down

Step-by-step explanation:

This is a linear equation, because the equation does not have any exponents. Graph it by putting the equation into either slope-intercept form y=mx+b or point-slope form y−y1=m(x−x1).

Isolate y by first adding 6x to each side:

9y=6x−18

Divide each side by 9:

y=23x−2

Now graph the line y=23x−2 by first plotting the y intercept at (0,−2), then connecting points with a slope of 23.

graph{2/3x-2 [-10, 10, -5, 5]}

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Find the multiples of 9 that are less than 100

zhuklara [117]

9,18,27,36,45,54,63,72,81,90,99

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3 years ago

Read 2 more answers

Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.

ad-work [718]

The right answer for the question that is being asked and shown above is that: "B. Yes, because the sum of any two multiples of 4 is also a multiple of 8." <span>the set of multiples of 4 closed under addition</span>

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3 years ago

You have $110 to spend at the mall. You want to buy at most 6 articles of clothing. A clothing store sells shirts for $12 and pa

gladu [14]

Answer:

Part a) The graph in the attached figure (see the explanation)

Pat b) see the explanation

Step-by-step explanation:

Part a) Write and graph a system of linear inequalities that represents this situation

Let

x ----> the number of shirts you can buy

y ----> the number of pants you can buy

we know that

The word "at most" is the same that " less than or equal to"

The word "at least" is the same that " greater than or equal to"

$x+y \leq 6$ ----> inequality A

The amount you have to spend minus the number of shirts multiplied by its price minus the number of pants multiplied by its price must be greater than or equal to $20

$110-12x-18y \geq 20$

Rewrite

$12x+18y\leq 90$ ----> inequality B

using a graphing tool

see the attached figure

Part b) How many shirts and pairs of pants can you buy at the store?

The solution of the system of inequalities is the shaded area

The solution is all whole numbers included in the shaded area

Example

(0,5),(3,3),(6,0), (3,2),...

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3 years ago

Test the convergence of the series sigma_n = 1^infinity n^n/n!

riadik2000 [5.3K]

With $a_n=\frac{n^n}{n!}$ , we have

$\dfrac{a_{n+1}}{a_n}=\dfrac{\frac{(n+1)^{n+1}}{(n+1)!}}{\frac{n^n}{n!}}=\dfrac{(n+1)n!}{(n+1)!}\left(\dfrac{n+1}n\right)^n=\left(1+\dfrac1n\right)^n$

whose limit is (famously) $e$ as $n\to\infty$ . $e>1$ , so the series diverges by the ratio test.

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3 years ago

Jenny has $200.00 in her savings account. The account earns interest at the rate of 3% each year.How much money will Jenny have

11111nata11111 [884]

200*1.03=206
She will have 206$ after one year.

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3 years ago