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madam [21]
4 years ago
12

Give the slope and y intercept 6x-3y=-9

Mathematics
1 answer:
Nikolay [14]4 years ago
5 0
To find the slope and the y-intercept of this equation, we need to first convert it to slope-intercept form. (y = mx + b)

To convert it, we need to first isolate the y term by subtracting 6x from both sides of the equation.

6x - 6x - 3y = -9 - 6x

-3y = -9 - 6x

Now that the y term is on one side of the equation, we can continue.

Divide <em>everything </em>on the left side of the equation by the coefficient on the right side of the equation. In this case, the number is 3.

y = -3 - 2x

Flip some of those numbers around to get this:

y = 2x - -3

Get rid of the double negative. (Change 2x - -3 into 2x + 3)

y = 2x + 3

Now that we've converted the equation, we can identify the slope (the number beside x) and y-intercept (the number that stands alone)

Slope: 2
Y-intercept: 3


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Find the length of side x in simplest radical form with a rational denominator.
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Answer:

x = √2

Step-by-step explanation:

Here, we want to get the value of x

As we can see, what we have is a right triangle

x faces the angle 30 which makes it the opposite to that angle

the root of 6 is the adjacent to the angle 30

Mathematically, the ratio of the opposite to the adjacent is the tan

Thus;

Tan 30 = x/√6

Tan 30 = 1/√6

1/√3 = x/√6

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7 0
3 years ago
Claim: Fewer than 94​% of adults have a cell phone. In a reputable poll of 1004 ​adults, 86​% said that they have a cell phone.
meriva

Answer: The value of test statistic = -10.67

Step-by-step explanation:

Test statistic for proportion:

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

, where p= population proportion

n= sample size

\hat{p} = sample proportion

AS per given,

p=0.94, n= 1004, \hat{p}=0.86

z=\dfrac{0.86-0.94}{\sqrt{\dfrac{0.94(1-0.94)}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{\dfrac{0.0564}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{0.0000561752988048}}\\\\=\dfrac{-0.08}{0.00749501826581}\\\\=-10.673756509\approx-10.67

i.e. the value of test statistic = -10.67

8 0
3 years ago
Can you do a composition of transformation in any order? Why or why not?
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8 0
3 years ago
Easy one - giving brainly if correct - show work.
OverLord2011 [107]

Answer:

$9.68 per Hour, $11.72 per Hour.

Step-by-step explanation:

<u>What</u> <u>you</u> <u>thought</u> <u>of..</u>

10% of original pay wage = $0.80

Sofia's Pay Wage will be incremented by 10% of $8 every 6 Months.

Function:

Sofia's Pay Wage = <em>e</em>

Original Pay Wage = <em>o</em>

Increment = <em>i</em>

6 Months = <em>t</em>

<em />

<em>e</em> = <em>o</em> + <em>ti</em>

1 Year = 12 Months

$8 + ($0.80 x 2) = $9.60

In 1 Year, Sofia's Pay Wage will be $9.60 per Hour

$8 + ($0.80 x 4) = $11.20

In 2 Years, Sofia's Pay Wage will be $11.20 per Hour

<u>What</u> <u>I</u> <u>Thought</u> <u>Of..</u>

Sofia's Pay Wage will be incremented by 10% every 6 Months.

Function:

Sofia's Pay Wage = <em>e</em>

Original Pay Wage = <em>o</em>

Increment = <em>i</em>

6 Months = <em>t</em>

<em />

<em>e</em> = <em>o</em> + <em>t(ei)</em>

1 Year = 12 Months

($8 + {10% of Sofia's Pay Wage}) = $8.80

($8.80 + {10% of Sofia's Pay Wage}) = $9.68

In 1 Year, Sofia's Pay Wage will be $9.68 per Hour

($9.68 + {10% of Sofia's Pay Wage}) = $10.65

($10.65 + {10% of Sofia's Pay Wage}) = $11.72

In 2 Years, Sofia's Pay Wage will be $11.72 per Hour

<u>Brainly?</u> (I spent a while on this)

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