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2 years ago

1.) Solve 2x^2-12x+20=0 using the quadratic solution set? What is the solution set?

1 answer:

4 0

Please, share just ONE problem at a time. Thanks.

Solve 2x^2-12x+20=0:
Simplify this by dividing each term by 2: x^2 - 6x + 10 = 0

Identify a, b and c: a=1, b=-6 and c=10. Then b^2=36.

Write out the solutions using the quadratic formula:

6 plus or minus sqrt(36-40)
x = ---------------------------------------
2

sqrt(36-40) = sqrt(-4) = plus or minus i2

Then:

6 plus or minus i2
x = --------------------------- (answer)
2

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The cash drawer of the market contains $227. There are six more $5 bills than $10 bills. The number of $1 bills is two more than

k0ka [10]

Answer:

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

Step-by-step explanation:

There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:

$x + 5*y + 10*z = 227$

We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:

$y = z + 6\\x = 2 + 24*z$

Applying these values on the first equation, we have:

$2 + 24*z + 5*(z + 6) + 10*z = 227\\2 + 24*z + 5*z + 30 + 10*z = 227\\39*z + 32 = 227\\39*z = 227 - 32\\39*z = 195\\z = \frac{195}{39}\\z = 5$

Applying z to the formulas of y and x, we have:

$y = 5 + 6 = 11\\x = 2 + 24*5 = 122$

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

4 0

2 years ago

Pls help idk how to do this ''solve for the angle with Trig'' Solve for 0

nalin [4]

Answer:

24.15

Step-by-step explanation:

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3 years ago

Help Me | It says: Multiply by the ones. Regroup if needed. Then It says: 2x6 ones = ? Ones or ? Ten and ? Ones | 2x4 tens = ? T

Marianna [84]

2×6 ones= 12 ones
2× 4 tens(40)=80(8 tens)
tens(10)+1 ten=20(2 tens)
2×3 hundreds(300)=600(6 hundreds)

3 0

2 years ago

Read 2 more answers

What is the solution to the system of equations ?

Fudgin [204]

Answer:

A solution to a system of equations means the point must work in both equations in the system. So, we test the point in both equations. It must be a solution for both to be a solution to the system. Hope this helps.

7 0

2 years ago

Read 2 more answers

How to solve it to put 65% of his Christmas money in the bank.If he had $70 left after he put the money in the bank. How much mo

kow [346]

Answer:

$200

Step-by-step explanation:

Let X be the amount of Christmas money he had at the beginning.

He put 65% of X in the bank. This is 0.65x

He has $70 left which is equal to 0.35x

We need to write an equation to find the value of x.

70 = 0.35x

Divide by 0.35 to find the value of x.

70/0.35 = 0.35x/0.35

200 = x

He received $200 for Christmas.

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2 years ago