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3 years ago

Find the x-intercept and y-intercept of the line. 2x-6y=6

Mathematics

2 answers:

scoundrel [369]3 years ago

5 0

Answer:

x-intercept: (3,0)

y-intercept: (0,−1)

AVprozaik [17]3 years ago

4 0

Answer:

Y Intercept: (0,-1)

X Intercept: (3,0)

Step-by-step explanation:

Let's rearrange the original equation to be in y intercept form

2x-6y=6

-6y=-2x+6 (isolate y on the left side by subtracting both sides by -2)

6y=2x-6 (we can divide both sides by -1 to eliminate the negative signs)

y=2/6x-1

the y intercept is when x = 0, so we can insert that into the new equation we have

y=2/6(0)-1

y=-1

we can also use the new formiula to find the x intercept, the x intercept is when y = 0

y=2/6x-1

0=2/6x-1

-2/6x=-1 (isolate x by subtracting both sides by 2/6x)

2/6x=1 (divide both sides by -1 again to get rid of the negative signs)

2x=6 (multiply both sides to get rid of the 6 in the denominator)

x=3 (divide both sides by 2 to isolate x)

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Two of the angles are listed. Find the measure of the third angle in each triangle. Similar to example 6

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Step-by-step explanation:

6 0

3 years ago

Use the distributive property to simplify the expression 6(9+x)

Gnesinka [82]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

58 is 20% of<br>having trouble

ella [17]

First, let's introduce a variable:

Let n represent the number we are trying to find.

20 % x n = 58
0.20 x n = 58
0.20n = 58
n = 290

Therefore, 58 is 20% of 290.

Hope this helps!
Message me if you have any questions. :)

6 0

3 years ago

Ernie saved $650 in twenty six weeks. He saved the same amount each week. How much did he save each week?

Rom4ik [11]

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4 0

3 years ago

Read 2 more answers

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