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2 years ago

Can someone help me with this please

Mathematics

1 answer:

Anni [7]2 years ago

3 0

Answer:

x = 61

Step-by-step explanation:

These 2 angles are supplementary which means they add up to 180:

2x - 6 + x + 3 = 180

3x - 3 = 180

3x = 183

x = 61

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Step-by-step explanation:

how can we make sure the person that we have to talk is in a better position for the future 50th I am going through my financial statements to the extent I

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Solve the problem and then click on the correct graph. y < |x + 3|

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The second picture should be the correct graph or the one which has its blue on the bottom side.

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3 years ago

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In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible produ

MAXImum [283]

Answer:

The two positive integers are 30 and 30

Step-by-step explanation:

Let

x------> the larger positive integer

y-----> the smaller positive integer

P----> the product o the two positive integers

we know that

$x+y=60$

$y=60-x$ -----> equation A

$P=xy$ ----> equation B

substitute equation A in equation B

$P=x(60-x)$

$P=60x-x^{2}$

This is the equation of a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the largest possible product

Using a graphing tool

The vertex is the point (30,900)

That means------> For $x=30$ The largest possible product is $900$

and

$y=60-x$ ------> $y=60-30=30$

therefore

The two positive integers are 30 and 30

5 0

3 years ago

Find the commission on a $1,250 sale with a commission rate of 5%.

Nana76 [90]

Essentially, we must take 5% of $1250. When we drop the percent sign, we move the decimal 2 places to the left, giving .05. Then "of" means multiply. We take $1250 and multiply times .05, giving
$62..50 

Another way to do it is to take 10%, or $125. 
Then 5% is half of that. Half of $125 is $62.50 We can do that by dividing $125 by 2. I did it in my head. Others might do it on paper. Still others might have a calculator handy and say $125 divided by 2 on the calculator. We should all get the same answer unless one person spaces out or is tired. It happens!

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3 years ago

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Find the polynomial function

laiz [17]

Answer:

y = 2x³ +x² -3x +6

Step-by-step explanation:

The polynomial correlation function of a graphing calculator can work with the table of function values to give you the equation. (See attached)

_____

If you want to solve this by hand, you can write the equations for the unknown coefficients in the polynomial function, then solve those. First of all, notice that you are given the y-intercept, (0, 6), so you know one of the coefficients already. That leaves a system of 3 equations in 3 unknowns that need to be solved.

___

Writing the equations

... ax³ +bx² +cx +6 = y . . . . the generic linear equation in a, b, c that you're writing

For x = -1:

... -a +b -c +6 = 8

For x = 1

... a + b + c + 6 = 6

For x = 2

... 8a +4b +2c +6 = 20

In augmented matrix terms, this set of linear equations looks like ...

$\left[\begin{array}{ccc|c}-1&1&-1&2\\1&1&1&0\\8&4&2&14\end{array}\right]$

___

Solving the equations

There are a number of ways to solve these. Again, a graphing calculator often has solution functions, such as reducing a matrix to row-echelon form, that will solve this in a keystroke or two.

If you add the first two equations, you get ...

... 2b = 2 ⇒ b = 1

Substituting that into the first equation allows you to simplify it to ...

... -a -c = 1

Dividing the third equation by 2 (and substituting for b) makes it ...

... 4a +c = 5

Adding these equations gives ...

... 3a = 6 ⇒ a = 2

Then ...

... c = -a -1 = -2 -1 = -3

And our polynomial function is ...

... y = 2x³ +x² -3x +6

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3 years ago