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scoundrel [369]
3 years ago
6

Solve the polynomial x² - 7x + 12 = 0 Show each step used to find the solutions.

Mathematics
2 answers:
umka2103 [35]3 years ago
6 0

Answer:

x=4 and x=3

Step-by-step explanation:

The first step to find all factors of 12

1,2,3,4,6,12

and their negative form

-1,-2,-3,-4,-6,-12

we must add two of these numbers to get -7

and the two numbers that add up to -7 are -3 and -4

we can simply plot them into the polynomial (x-3)(x-4)

since x-3=0

we add three to both sides to get x=3

and since x-4=0

add four to both sides

we get x=4

and now check out work which

we can use First out in last (foil) method

(x-3)(x-4)

first

x^2

out

-4x

in

-3x

last

12

now we simplify to get x^2-7x+12

so it x=4 x=3 works

Zanzabum3 years ago
4 0

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!

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What does this mean??4/9 ÷ 17/ 18
vichka [17]

Answer:

4/9 ÷ 17/18 =

Step-by-step explanation:

4/9 ÷ 17/18

4/9 · 18/17      (Take the reciprocals of 17/18)

72/153

Simplest form : 8/17

Hope this helps!

-Abha

8 0
3 years ago
4- What are the different waysto solve a quadratic? List examples of each
TiliK225 [7]
I know of two ways to solve quadratic equations. The first is through factoring. Let us take the example (x^2)+2x+1=0. We can factor this equation out and the factors would be (x+1)(x+1)=0. To solve for the roots, we equate each factor to 0, that is

x+1=0; x+1=0

In this case, the factors are the same so the root of the equation is

x=1.

The other way is to use the quadratic formula. The quadratic formula is given as [-b(+-)sqrt(b^2-4ac)]/2a where, using our sample equation above, a=1, b=2 and c=1. Substitute these to the formula, and you will get the same answer as the method above.
8 0
3 years ago
You are making a new type of deodorant from two different mixtures the first mixture is 30% smell proof and the second mixture i
Readme [11.4K]

Answer:

600 L of 30% proof and 400 L of 80% proof is needed

Step-by-step explanation:

Let the amount of 30% smell proof be x while that of 80% smell proof is y

Then;

x + y = 1000 •••••(i)

Also;

30% of x + 80% of y = 50% of 1000

0.3x + 0.8y = 500 •••••(ii)

From i, x = 1000 - y

Put this into ii

0.3(1000-y) + 0.8y = 500

300 - 0.3y + 0.8y = 500

0.5y = 500-300

0.5y = 200

y = 200/0.5

y = 400 L

But x = 1000 - y

x = 1000 - 400 = 600 L

3 0
3 years ago
Fill in the blank to make the two fractions equivalent.<br><br> 3/7=blank/42
Sidana [21]

Answer:

18/42

Step-by-step explanation:

Find the common factor of the denominators i.e the common factor of 7 and 42. The answer is 6. Multiply the fraction with the smallest denominator by the common factor (3/7 ×6/6) answer is 18/42

Hope you understand

3 0
3 years ago
Will give brainliest
kodGreya [7K]

Answer: y=12 x =9

Step-by-step explanation:

In a parallelogram the diagonals bisect each other making them equal.

this means 2y + 6 = 30

we can rearrange this as 30 - 6 = 2y

24 = 2y  therefore y = 12

3x - 3 = 24

We can rearrange this as 24 + 3 = 3x

3x = 27

27 / 3 = 9

x = 9

Hope this helped :)

3 0
3 years ago
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