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3 years ago

What is the answer for 4x + 2y = 12

Mathematics

2 answers:

spayn [35]3 years ago

8 0

Answer:

y=-2x+6

Step-by-step explanation:

You want to to turn the given equation 4x+2y=12 into y=mx+b

** m is the slope and b is the y-intercept

The first step is to isolate y. First subtract 4x from both sides:

4x+2y=12

2y=-4x+12

Now you have y mostly isolated, all you have to do is divide both sides by 2:

2y=-4x+12

y=-4/2x +12/2

y=-2x +6

Now you have your equation, plug in values for x to find y to fill in the table:

ex: y=-2(2)+6

y= -4+6

y= 2

** an order pair ex.: (2,2)

sesenic [268]3 years ago

6 0

Answer:

(1,4), (2,2) (3,0)

Step-by-step explanation:

adjust the equation so that the y is isolated so subtract 4 x

2y=4x +12

Every number is divisible by 2 so you can further isolate the y

y=-2x+6

Plug your x coordinates into the equation so get the y coordinates

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5 0

3 years ago

A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are

Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

$n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%$

The critical value of z for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)$

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

4 0

2 years ago

Given the function, check all transformations that occurred from the graph of the function y=x^2

Hatshy [7]

Answer: left 7 units, up 4 units, and vertical compression

Step-by-step explanation:

Given

The function is $y=x^2$

First shift it to the left by 7 units, so the function becomes

$y=(x+7)^2$

Now compress it to make it one-third

$y=\dfrac{1}{3}(x+7)^2$

Now, sift the graph upward by 4 units

$y=\dfrac{1}{3}(x+7)^2+4$

Thus , the conditions are left 7 units, up 4 units, and vertical compression.

4 0

3 years ago

Jose bought 3 pens and 6 pencils for $6.60. Amy bought 5 pens and 8 pencils for $10.00. How much does one pencil cost?

xenn [34]

Answer:

pen = $1.20, pencil = $0.50

Step-by-step explanation:

let x = pen

let y = pencil

create system of equations:

3x + 6y = 6.60 [can be simplified to be x + 2y = 2.20]

5x + 8y = 10.00

substitution method:

x = 2.2 - 2y

5(2.2 - 2y) + 8y = 10

11 - 10y + 8y = 10

-2y = -1

y = 1/2

solve for 'x':

3x + 6(1/2) = 6.6

3x + 3 = 6.6

3x = 3.6

x = 1.2

7 0

3 years ago

I don’t know what to do after this

Bumek [7]

THE answer is 7 1/6 Please go to cymath and you’ll see how to work it out

8 0

3 years ago