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masya89 [10]
4 years ago
13

Four friends analyzed the system of equations 6y=(2/3) x+5 and 6y−(1/2)x=5. Remy, Viola, Burke, and Florence each reached a diff

erent conclusion about the system of equations.
Which friend analyzed the system correctly and drew the correct conclusion?

A) Viola noticed that each equation has the same slope but a different y-intercept, so she concluded that the system has no solution.

B) Remy noticed that there are two equations and two unknowns, and that each equation has a different slope, so she concluded that the system probably has at least one solution.

C) Burke noticed that each equation has the same slope and same y-intercept, so she concluded that there must be infinitely many solutions.

D) Florence noticed that the system has the same number of unknowns and equations, so she concluded that the system must have at least one solution.
Mathematics
1 answer:
Finger [1]4 years ago
7 0

sup. hope that helps!!!

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4 Consider the triangle below.
Maurinko [17]
<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

= \tt x + 1.4 = 2x + 0.1

= \tt x + 1.4 - 0.1 = 2x

=  \tt \: x + 1.3 = 2x

= \tt 1.3 = 2x - x

\color{plum} \hookrightarrow  \tt x = 1.3

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

<h2>=>> <u>Solution (Part B)</u> :</h2>

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

= \tt x + 1.4

= \tt 1.3 + 1.4

\color{plum} \tt leg \: AM= 2.7 \: inches

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

= \tt 2x + 0.1

=  \tt2 \times 1.3 + 0.1

= \tt 2.6 + 0.1

\color{plum} \tt\: leg \:MG = 2.7 \: inches

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

We know that :

Value of x = 1.3

Then, measure of the base AG :

=  \tt 3x - 0.4

= \tt 3 \times 1.3 - 0.4

= \tt 3.9 - 0.4

\color{plum}\tt \: Base  \: AG = 3.5 \:  inches

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

6 0
3 years ago
Find the domain of the relation:
Lerok [7]
The domain is -3, -1, 0, 1, 5
8 0
3 years ago
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
Roman55 [17]

Answer:

The required equation is y = 18(1.15)^x.

Step-by-step explanation:

Consider the provided information.

The Initial value of poster = $ 18

After 1 year amount of increase = $ 20.70

With the rate of 15% = 0.15

Let future value is y and the number of years be x.

y = 18(1.15)^x

Now verify this by substituting x=1 in above equation.

y = 18(1.15)^1=20.7

Which is true.

Hence, the required equation is y = 18(1.15)^x.

7 0
3 years ago
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LekaFEV [45]

Answer:

C

Step-by-step explanation:

use y=mx+c

follow the flow

7 0
3 years ago
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Nataly_w [17]

Answer:

3 and 1

Step-by-step explanation:

Similarly each term is 1/3 of the previous term. This is a geometric sequence.

9/3 = 3

3/3 =1

3 0
3 years ago
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