Choose the ordered pair(s) that are solutions to the system. (There may be one or many correct options).

-3x-y>-4
2x-5y<-2

Answer Choices:
a. (5,5)
b. (2,6)
c. (-4,1)
d. (6,5)
e. (-5,0)
f. none of the above

Answers

Answer 1

Answer: C,E

Step-by-step explanation: This is because when we plug in 5 for x and  for y in the first inequality we get.

-3(5)-5>-4

Which equals -20>-4 and thats false so thats not it.

Then we got to (2,6) and we plug 2 for x and 6 for y and get:

-3(2)-6>-4

Which is -12>-4 which is false so thats also not it.

Then we got to C and we plug in -4 for x and 1 for y and we get:

-3(-4)-1>-4 and we get 12-1>-4

This is correct so we plug it in to the next inequality and get:

2(-4)-1<-2 and we get -9<-2 which is true

So C is an answer and we go on to d and e

For d we plug in 6 for x and 5 for y and we get:

-3(6)-5>-4 which is -23>-4 which is false so its not d

And then we go to e which is -5 for x and 0 for y and we plug in and we get:

-3(-5)-0>-4 This is 15>-4 which is true so we go to the next inequality and we plug in -5 for x and 0 for y and we get:

2(-5)-5(0)<-2 This is -10<-2 which is true so e is the other answer so the answers are

(C,E)


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Answers

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Step-by-step explanation:

Divide the interest by 12 (number of months) which comes to about $1.07 (rounded) multiply that by 12 which give you with how much the total interest is, add it by the total and boom


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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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she would run out in 10 weeks
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Answers

Answer:

The difference is [tex]\frac{3}{8}[/tex] mile

Step-by-step explanation:

The question is incomplete, as the line plot is not attached.

I will answer this question with the attached line plot.

From the question:

[tex]Joaquin = \frac{3}{4}[/tex]

From the attached line plot:

[tex]Least = \frac{3}{8}[/tex]

The difference (D) is:

[tex]D = Joaquin - Least[/tex]

[tex]D = \frac{3}{4} - \frac{3}{8}[/tex]

Take LCM

[tex]D = \frac{6 - 3}{8}[/tex]

[tex]D = \frac{3}{8}[/tex]

Hence: The difference is [tex]\frac{3}{8}[/tex] mile

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If the second difference is the same value, the model will be quadratic.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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i hope this helps :)

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You’re correct, everything else is inaccurate.

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Answer:

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Step-by-step explanation:

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area = base × height / 2

a = bh/2

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a = 15.6

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

Given the problem,

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[tex](x +9)(x+2)[/tex]

Test by distributing, multiply each term in one parenthesis by every term in the other parenthesis,

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(x+9)(x+2) is your answer

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Answer:

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Answer:

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Step-by-step explanation:

A clarinet case is shaped like a rectangular prism the case is 8 inches tall 3 inches wide and has a volume of 312 cubic inches what is the length of the clarinet case

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Answer:

a) 16.4 m, 101°b) 6.22 m, 51 m²

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Find the measure of angle Q:

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Answers

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Answer:

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Answers

Answer:

Step-by-step explanation:

The factors are 9 and 27 are 1,3,9,27

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20
LLLL

Answers

Answer:

1/20 of a gallon

Step-by-step explanation:

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Answers

Answer:

[tex]b_n = \frac{2}{27} (9^n)[/tex]

Step-by-step explanation:

Given

[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]

Required

An explicit rule for [tex]b_1,\ b_2,\ b_3,\ \dots[/tex]

Where [tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]

We have:

[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]

Calculate a2

[tex]a_2 = 3a_{2-1}[/tex]

[tex]a_2 = 3a_1[/tex]

[tex]a_2 = 3 * \frac{2}{3}[/tex]

[tex]a_2 = 2[/tex]

Calculate a3

[tex]a_3 = 3a_{3-1}[/tex]

[tex]a_3 = 3a_2[/tex]

[tex]a_3 = 3 *2[/tex]

[tex]a_3 = 6[/tex]

Calculate a4

[tex]a_4 = 3a_{4-1}[/tex]

[tex]a_4 = 3a_3[/tex]

[tex]a_4 = 3*6[/tex]

[tex]a_4 = 18[/tex]

Calculate a5

[tex]a_5 = 3a_{5-1}[/tex]

[tex]a_5 = 3a_4[/tex]

[tex]a_5 = 3*18[/tex]

[tex]a_5 = 54[/tex]

So:

[tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]

[tex]a_1=\frac{2}{3}[/tex]     [tex]a_3 = 6[/tex]     [tex]a_5 = 54[/tex]

The above sequence form a geometric sequence.

Calculate common ratio (r)

[tex]r = \frac{b_3}{b_2}[/tex]

[tex]r = \frac{a_5}{a_3}[/tex]

[tex]r = \frac{54}{6}[/tex]

[tex]r = 9[/tex]

So, the explicit formula is:

[tex]b_n = b_1 * r^{n-1[/tex]

[tex]b_1=a_1[/tex], so:

[tex]b_n = a_1 * r^{n-1[/tex]

[tex]a_1=\frac{2}{3}[/tex], so:

[tex]b_n = \frac{2}{3} * 9^{n-1[/tex]

Split:

[tex]b_n = \frac{2}{3} * \frac{9^n}{9}[/tex]

[tex]b_n = \frac{2}{3*9} (9^n)[/tex]

[tex]b_n = \frac{2}{27} (9^n)[/tex]

The explicit rule is: [tex]b_n = \frac{2}{27} (9^n)[/tex]

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