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3 years ago

4x-5y=20 find the slope

Mathematics

2 answers:

Irina18 [472]3 years ago

5 0

$4x-5y=20 \\
-5y=-4x+20\\
y=\frac{4}{5}x-4$

It's $\frac{4}{5}$

zepelin [54]3 years ago

3 0

<u /> $4x-5y=20 \\ 5y=20-4x \\ y=(4x-20)/5 \\ y= \frac{4}{5} x-4 \\ \\ 

The answer is 4/5.$

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The discriminant of the quadratic equation 2x2 - 4x + 3 = 0 is

inna [77]

Answer:

(A) -8

Step-by-step explanation:

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Since discriminant<0, then the equation has no roots.

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3 years ago

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Determine the domain of the function (fog) (x) where f(x) = 3x-1/x-4 and g(x)=x+1/x

Mrac [35]

Answer:

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

Step-by-step explanation:

The given functions are $f(x)=\frac{3x-1}{x-4}$ and $g(x)=\frac{x+1}{x}$ .

We now composed the two functions to find:

$(f\circ g)(x)=f(g(x))$

$\implies (f\circ g)(x)=f(\frac{x+1}{x})$

$\implies (f\circ g)(x)=\frac{3(\frac{x+1}{x})+1}{\frac{x+1}{x}-4}$

$\implies (f\circ g)(x)=\frac{4x+3}{1-3x}$

This function is defined if the denominator is not zero.

$1-3x\ne0$

$x\ne\frac{1}{3}$

We write this in interval notation as:

$(-\infty,\frac{1}{3})\cup (\frac{1}{3},\infty)$

We need to be cautious here as x=0 is not in the domain of g(x).

Therefore the domain of $(f\circ g)(x)$ is

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

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3 years ago

What is the lcm of 3,9, and 15?

s344n2d4d5 [400]

The least common multiple that is common in all numbers but is the lowest is 3 and it's the only number that all numbers listed can be divided easily by.

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3 years ago

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3 years ago

Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa

inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

$z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}$

For X=12.04 days:

$z=\frac{12.04 - 18.8}{2} \\z=-3.38$

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

$z=\frac{18.38 - 18.8}{2} \\z=-0.21$

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.

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$P=41.68-0.036\\P=41.64\%\ or\ 0.4164$

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3 years ago