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3 years ago

Find the exact solution of the following quadratic equation by using the Quadratic Formula. x^2-9x=36

Mathematics

1 answer:

natita [175]3 years ago

4 0

Answer:

x = 12 or x = -3

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 9 x = 36

Subtract 36 from both sides:

x^2 - 9 x - 36 = 0

x = (9 ± sqrt((-9)^2 - 4 (-36)))/2 = (9 ± sqrt(81 + 144))/2 = (9 ± sqrt(225))/2:

x = (9 + sqrt(225))/2 or x = (9 - sqrt(225))/2

sqrt(225) = sqrt(9×25) = sqrt(3^2×5^2) = 3×5 = 15:

x = (9 + 15)/2 or x = (9 - 15)/2

(9 + 15)/2 = 24/2 = 12:

x = 12 or x = (9 - 15)/2

(9 - 15)/2 = -6/2 = -3:

Answer: x = 12 or x = -3

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Graph the function. Describe its position relative to the graph of the indicated function

sweet [91]

Answer:

Step-by-step explanation:

If the parent function is function $y=f(x)$ and $a>0,$ then

the graph of the function $y=f(x-a)$ is translated a units to the right graph of the parent function;
the graph of the function $y=f(x+a)$ is translated a units to the left graph of the parent function;
the graph of the function $y=f(x)+a$ is translated a units up graph of the parent function;
the graph of the function $y=f(x)-a$ is translated a units down graph of the parent function.

In your case, the grapgh of the function $y=2^x+2$ is translated 2 units up the graph of the function $y=2^x.$

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3 years ago

Read 2 more answers

for your nursing home, you have ordered 160 bottles of glucose the medical supplier delivered 32 bottles this morning and 70 bot

Sphinxa [80]

Answer:

Step-by-step explanation:

70 add 32

160 - 92

8 0

3 years ago

Can someone help me solve this question? It’s similar to the previous ones! Thank you!

luda_lava [24]

Answer:

$\boxed{\sf \ \ \ (-2x+-9)(1x+3)=-2x^2-15x-27 \ \ \ }$

the coefficient c is -27

Step-by-step explanation:

hello

$(-2x+-9)(1x+3)=(-2x-9)(x+3)=-2x(x+3)-9(x+3)=-2x^2-6x-9x-27\\=-2x^2-15x-27$

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3 years ago

A car dealership pays a wholesome price of $12,000 to purchase a vehicle. The car dealership wants to make a 32% profit. The car

cestrela7 [59]

Answer:

$102.96

Step-by-step explanation:

Lets take this one part at a time.

the dealership pays 12000 for the car, so they start at -12000 for how much money they have.

The dealership wants to make a 32% profit. This means they want to make back the 12000 plus 32% of that. what is 32% of 12000? just multiply 12000 bty .32 In the end it works out that the price they sell it for is 15840

I do want to mention that there is a chance the 32% might also be accounting the bonus. So in other words the dealership spent 12000 for the car then however much in paying the bonus, and they want to make a 32% profit on both of these combined. I do not think that is what it is asking for, but I wanted to mention it.

Anyway, with a sales price of $15,840 it says the bonus is 6.5% of that. to find that just do the multiplication .065 * 15840 = 1029.60. So this is the bonus normally.

Now the question says the salesperson offers a 10 percent discount. This changes the sales price (by 10%) and the bonus they earn. let's calculate both.

First 10% discount of the sales price is .9*15840 = 14,256

Then 6.5% of that is .065*14256 = 926.64 So this is the new bonus.

The question wants the difference of the two bonuses, and difference is subtraction. so 1029.60 - 926.64 = 102.96 So if the salesperson offers a 10% discount they lose $102.96

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3 years ago

Identify the measure of arc PQ

Fudgin [204]

C, 62
Line segment SQ=180, because it is a straight line
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3 years ago