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3 years ago

What are the solutions of the quadratic equation 4x^2-8x-12=0

Mathematics

1 answer:

Wewaii [24]3 years ago

6 0

Answer:

Step-by-step explanation:

$4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3$

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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

How many terms are there in the following expression:

sweet [91]

3 terms

when you combine like terms you are left with 10x + y + 8 which is 3 terms.

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2 years ago

Another chance for brainliest if it correct ! Please help

frez [133]

Answer:

A B and C are true

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

At fairvie middle school 75 band members need to raise a total of 8250 for a trip. So far they have raised 3120. How much money

galina1969 [7]

$8250 - $3120 = $5130

$5130/75 = $68.40

Each band member must raise $68.40

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2 years ago

I need help I'm struggling at this can someone give me the answers

Shkiper50 [21]

1: Almost all rocks are made of minerals but, different rocks have different kinds of minerals.
2: Sedimentary, metamorphic, and igneous.
3: Weathering is breaking down of the rocks, soil, and minerals as well as artificial materials through contact with the Earth's atmosphere, biota and water.
4: i don't know this one sorry :(
5: Metamorphic Rocks
6: Geological Society
7: Igneous Rocks. They are about 3ft long!
8: Foliated Metamorphic Rocks
9:Phaneritic Igneous Rock
I hoped this helped! :) sorry for not knowing number 4 :( Have a good day! :)

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3 years ago