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Debora [2.8K]
3 years ago
10

Find the slope of the line whose equation is 8y = 4 - 3x.

Mathematics
2 answers:
Kipish [7]3 years ago
7 0

Answer: \dfrac{-3}{8}

Step-by-step explanation:

The general equation of a line in intercept form is given by :-

y=mx+c, where m is the slope of line and c represents the y-intercept of the line.

The given equation : 8y = 4 - 3x

Divide 8 on both the sides , we get

y = \dfrac{1}{2} -\dfrac{3}{8}x\\\\\Rightarrow\ y=-\dfrac{3}{8}x+ \dfrac{1}{2}

We can see that, the slope of the line : m=\dfrac{-3}{8}

Sidana [21]3 years ago
5 0
The slope is 3
whatever is in front of the x is the slope

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5q + 5/14 + 8z + 2/14 + 4q - 4z
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Answer:

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Step-by-step explanation:

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Each factory at a candy company has 498 workers. There are 12 factories. )
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5,976 workers

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Now let’s practice what you have learned.<br><br><br> Solve the equation.<br> 4y – 4 = 28
laiz [17]

Answer:

<h2>y=8</h2>

Step-by-step explanation:

4y-4=28

4y=28+4

4y=32

y=32/4

y=8

now plug in 8 for y and check the equation true:

4y-4=28

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3 years ago
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Consider the polynomial p(x) = x^3 + 4x^2 + 6x − 36.
Nady [450]

Answer:

a. attached graph; zero real: 2

b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

Step-by-step explanation:

p(x) = x³ + 4x² + 6x - 36

a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.

p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0

b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.

2 |  1     4     6    -36

     1      6    18     0

x² + 6x + 18 = 0

Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²

√Δ = 6i

x = -6±6i/2 = 2(-3±3i)/2

x' = -3-3i

x" = -3+3i

p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

4 0
3 years ago
Pls answer this!!!!!!!!!!!!
Artyom0805 [142]
The answer to the question is 90
6 0
2 years ago
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