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2 years ago

What is 2x-x^2=1 in standard form

Mathematics

1 answer:

adell [148]2 years ago

3 0

Answer:

Answer is in attachment

Mark brainliest pls :)

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A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

What is (−2.1)⋅(−1.4)

professor190 [17]

Multiplying a negative number and another negative number makes the product positive.
So (-2.1)*(-1.4) = 2.94

8 0

1 year ago

The price of gold is often reported per ounce. At the end of 2005, this price was $513. At the end of 2015, it was $1060. By wha

GuDViN [60]

Answer:106.63%.

Step-by-step explanation:To find the percentage of the price per ounce of gold increase we will use % increase formula.Therefore, the price of per ounce of gold increased by 106.63%.

7 0

2 years ago

MATH SMARTIES i will give brainliest CAN YOU TELL ME IF MY ANSWER IS CORRECT AND IF NOT CORRECT THEN CAN YOU TELL ME THE CORRECT

Margaret [11]

Answer:

It is A

Step-by-step explanation:

5 and 6 are the only numbers greater than 4 and they are both heads and tails.

8 0

3 years ago

Read 2 more answers

Can you identify what the polynomial is?

Marina CMI [18]

Answer:

are you sure its a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by

−

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Polynomial

5 0

3 years ago