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serious [3.7K]
3 years ago
9

IV. Intercepts. Give the intercepts of the following linear equations. 1) 5x + 3y = 8 2) 10x + 6y - 12 = 4 3) 2x – 3y = 5 4) 3x

+ 2y = 1 the giver
Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

Answer:

1)\frac{8}{3}

2)\frac{8}{3}

3)\frac{-5}{3}

4)2

Step-by-step explanation:

1) 5x + 3y = 8

 3y=8-5x

y=\frac{-5}{8} x+\frac{8}{3}

hence intercept is \frac{8}{3}

2) 10x + 6y - 12 = 4

10x + 6y  = 16

6y=16-10x

y=\frac{-10}{6} x+\frac{16}{6}

hence intercept is \frac{8}{3}

3) 2x – 3y = 5

3y=2x-5

y=\frac{2}{3} x+\frac{-5}{3}

hence intercept is \frac{-5}{3}

4) 3x + 2y = 1

2y=-3x+4

y=\frac{-3}{2} x+\frac{4}{2}

hence intercept is 2

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Answer:

y = -⅔x + ²²/₃  

Step-by-step explanation:

1. Calculate the slope of EF

Assume E is at (-2, 5) and F is at (1, 3).

m₁ = (y₂ - y₁)/(x₂ - x₁) = (3 - 5)/(1 -(-2)) = -⅔

2. Calculate the slope of the parallel line

m₂ = m₁ = -⅔

3. Calculate its y-intercept

y = mx + b

6 =-⅔(2) + b

Simplify

6 = -⁴/₃ + b

Add ⁴/₃ to each side

b = 6 + ⁴/₃ = ¹⁸/₃ + ⁴/₃ = ²²/₃

The y-intercept is at (0,²²/₃).

4. Write the equation for the line

y = -⅔x + ²²/₃

The diagram shows EF in red. The parallel line in black passes through (2, 6) with a y-intercept at (0,²²/₃).

7 0
3 years ago
A meat packaging plant uses a machine that packages chicken livers in six pound portions. A sample of 91 packages of chicken liv
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Answer:

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2 years ago
A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Rou
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Hello!

The area of a cylinder formula- Area = Pi * radius squared * height 

<span>In this case we are looking for height (altitude) </span>

<span>plug in our known values </span>

<span>500 = area </span>
<span>4 = radius </span>
<span>Pi ~ 3.141592654 </span>

<span>to find height... </span>

<span>500 = 3.141592654 * (4)^2 * height </span>

<span>500 = 3.14 * 16 * height </span>

<span>500 = 50.26 * height </span>

<span>divide both sides by 50.26.. </span>

<span>9.947 = height 
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<span>9.95 is the Correct Answer ( letter C)
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Hope this Helps! Have A Wonderful Day! :)
4 0
3 years ago
Read 2 more answers
Suppose f(x)=x find the graph of f(x)+1
emmasim [6.3K]
Graph of f(x)+1 would be x+1.
This would mean that all y-values of the graph will increase by one.
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3 years ago
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Answer:

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Step-by-step explanation:

1.  w = 3l

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I hope this helped and please mark me as brainliest!

7 0
2 years ago
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