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Umnica [9.8K]
3 years ago
11

Which ordered pair represents the x-intercept for the linear equation, 3y + 4x = 8?

Mathematics
2 answers:
jarptica [38.1K]3 years ago
6 0
(0,8/3) is the answer
NeX [460]3 years ago
6 0

Answer:

(2, 0) represents the x-intercept for the linear equation.

Step-by-step explanation:

The given linear equation is 3y + 4x = 8

We have to find the ordered pair that represents the x-intercept.

Since x - intercept of any line means ordered pair will have y = 0.

So by putting y = 0 in the equation

3×0 + 4(x) = 8

4x = 8

x = 2

Therefore, ordered pair which represents the x-intercept will be (2, 0).

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If the test gives a positive result for an infected person 98% of the time, that means that 2% of the time, it gives a negative result for an infected person, which would be a false negative.

If the test is 97% accurate for non-infected people, that means that it gives a negative result 97% of the time. So a positive result will be given 3% of the time for non-infected people, which is a false positive. 
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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
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Changing the equation into slope form: y = mx + c, where m is the slope [gradient] and c is the y-intercept.

2x+3y=1470
3y = -2x+1470
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y=- \frac{2}{3}x+490

The gradient is - \frac{2}{3} and y-intercept is at y=490

Graphing y=- \frac{2}{3}x+490 using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
    0 = - \frac{2}{3}x+490
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The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

-----------------------------------------------------------------------------------------------------------

Next month's profit equation

2x+3y=1593

Rewriting this into slope-equation form

3y = -2x+1593
y=- \frac{2}{3}+ \frac{1593}{3}
y= - \frac{2}{3}+531

The gradient, m, equals to - \frac{2}{3}
The y-intercept, c, equals to 531

The equation still has the same gradient with last month's profit equation but different y-intercept. 

-------------------------------------------------------------------------------------------------------------

A linear graph show points of (0, 300) and (450, 0)

We work out the slope: 
\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30}  =- \frac{2}{3}


Y-intercept at x = 0, so it's at y = 300

Equation y = - \frac{2}{3}+300

6 0
3 years ago
Can you please help me with this <br> 5/10 + 2/3<br><br> Thanks
Len [333]

Answer:

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Step-by-step explanation:

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