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Ivahew [28]
3 years ago
15

What is 4x - y = - 20 in y=mx+b form

Mathematics
2 answers:
sdas [7]3 years ago
8 0

Answer: y = 4x + 20

Step-by-step explanation:

4x - y = -20

=> -y = -4x - 20

=> y = 4x + 20

ankoles [38]3 years ago
5 0

Answer:

4x - y = - 20 in y=mx+b form is:  y = 4x + 20

Step-by-step explanation:

Given the equation

4x - y = - 20

What is the slope-intercept form of linear/line function?

The slope-intercept form of the line equation

y = mx+b

where

  • m represents the slope
  • b represents the y-intercept

Converting the equation into the slope-intercept form of the line equation

4x - y = - 20

Add -4x to both sides

4x-y+\left(-4x\right)=-20+\left(-4x\right)

simplify

-y=-20-4x

Divide both sides by -1

\frac{-y}{-1}=-\frac{20}{-1}-\frac{4x}{-1}

Simplify

y=4x+20

Therefore, 4x - y = - 20 in y=mx+b form is:  y = 4x + 20

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A drone builder states in their terms of conditions that the battery for their foldable drone will last for more than 4 hours of
ExtremeBDS [4]

Answer:

The manufacturer's claim is not supported

Step-by-step explanation:

The time duration the battery of the foldable drone is said to last, μ = 4 hours

The number of drones that were tested, n = 10 drones

The sample mean, \overline x = 4.2 hours

The standard deviation, s = 0.4 hours

The hypothesis test level of significance = 0.5

The null hypothesis, H₀; μ = 4

The alternative hypothesis, Hₐ; μ ≠ 4

The test statistic is given as follows;

t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}

We get;

The \ test \  statistic, \  t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } }  \approx  1.58113883008

Therefore, the test statistic, t ≈ 1.58

The degrees of freedom, d. f. = n - 1

For n = 10, we have;

The degrees of freedom, d. f. = 10 - 1 = 9

From the t-table at 0.5 level of significance, the critical-t = 0.7

Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.

7 0
3 years ago
The graph below shows the number of handbags that Mandy made in one day. what are the variables?
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kozerog [31]

We have been given that a right triangle with integer sides has area equal to 30. We are asked to find the length of hypotenuse of right triangle.

We know that area of triangle is half the product of its base length and height.

Since our given triangle is a right triangle, so its base and height will be legs of right triangle.

\frac{1}{2}\cdot\text{Base}\times \text{Height}=\text{Area}

\frac{1}{2}\cdot\text{Base}\times \text{Height}=30

\frac{1}{2}\cdot 2\cdot\text{Base}\times \text{Height}=30\cdot 2

\text{Base}\times \text{Height}=60

This means that product of two bases is 60.

Now we need to find two multiples of 60 such that they are make a right triangle.

Multiples of 60:

1, 60

2, 30

3, 20

4, 15

5, 12

6, 10

We know that (5, 12 and 13) is a Pythagoras triplet.

5^2+12^2=13^2

25+144=169

169=169

Therefore, the hypotenuse of right triangle is 13 units.

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Answer:

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