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stiks02 [169]
2 years ago
10

Graph the equation 2x + 3y = 9

Mathematics
1 answer:
jeka57 [31]2 years ago
8 0

2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3

Look at the graph picture I attached

y = mx + c

c is the intercept, which is why the graph crosses the y-axis at +3

to find where it crosses the x-axis, we make y = 0

y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)

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By symbol you mean number form? 238,533.
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Mr. Miller's sixth-grade class went on a field trip to hear the symphony perform. Their seats were grouped in the following ways
ch4aika [34]
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3 years ago
Tony Giacomin deposited $1600 on July 3rd in a special investment account which earns 13% p.A. Simple interest. On August 17th h
Burka [1]

Answer:

$248.75

Step-by-step explanation:

We are told that the interest rate is 13% per Annum = 13% per year

Hence, the interest rate in a month = 13% /12

= 1.0833333333% in a month

Tony Giacomin deposited $1600 on July 3rd in a special investment account which earns 13% p.A. Simple interest.

Interest = Principal × rate × time

Rate = 13% = 0.13

Time = July 3rd - November 12 = 132 days

= $1600 × 0.13 × 132/365

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On August 17th he deposited another $5600 in the account. If he closed the account on November 12th

Interest = Principal × rate × time

Rate = 13% = 0.13

Time = August 17th - November 12 = 87 days

= $5600 × 0.13 × 87/365

= $173.52328767123288

The next step would be to add these Interests together

$173.52328767123288 + $75.221917808

= $248.74520548

Approximately ≈ $248.75

Therefore, his investment that he has earned over this period of time is $248.75

8 0
3 years ago
Graphs and lines. please help thx
Elodia [21]

Answer:

y=\frac{4}{3}x+4

Step-by-step explanation:

In order to identify the equation of line from the given graph, we need to find the slope and the y-intercept.

Slope of a line is the ratio of rise to run or change in y over change in x.

The y-intercept is a point on the line for which the x value is 0. In other words, it is on the y-axis.

Here, from the graph,

y-intercept is at point (0,4). So, y-intercept is the y value which is,b= 4.

Also, slope is given as, m=\frac{\Delta y}{\Delta x}=\frac{4}{3}

Therefore, the equation of the line is:

y=mx+b\\y=\frac{4}{3}x+4

3 0
3 years ago
Write an
Neporo4naja [7]

Answer:  f(x) = 2x - 3

===================================================

We're given f(-1) = -5 and f(5) = 7

This means we know the two points (-1,-5) and (5,7) are on the line.

Find the slope

m = (y2-y1)/(x2-x1)

m = (7-(-5))/(5-(-1))

m = (7+5)/(5+1)

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Use this along with (x1,y1) to find the equation. We'll use point slope form

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f(x) = 2x - 3

8 0
3 years ago
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