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Vikki [24]
2 years ago
5

The sum of two numbers is 84. The square of the first number is 6 more than the second number.

Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0

The system of equations to find the value of x, the first number, and y, the second number are;

<em>y = -x + 84</em>

<em>y = x² + 6</em>

<h3>System of equation</h3>

The system of equation are equations that contains more than two equation and unknown.

Let the two unknown numbers x and y

If the sum of two numbers is 84, hence;

x +y = 84

y = -x + 84

If the square of the first number is 6 more than the second number, hence;

x² = y + 6

Substitute equation 2 into 2 to have:

x² = y + 6

x² = (-x+84) + 6

x² = -x+84 + 6

x² +x+84 + 6  = 0

x² +x + 90 = 0

Hence the system of equations to find the value of x, the first number, and y, the second number are;

<em>y = -x + 84</em>

<em>y = x² + 6</em>

Learn more on system of equation here; brainly.com/question/12861087

#SPJ1

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How many 3 3/4 inch wires can be cut from a spool if wire that is 100 inches how much will be left over
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How many 3\frac{3}{4} wires can be cut from a spool of wire that is 100 inches long?

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Number of pieces of wires = length of spool of wire ÷ length of each piece of wire.

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That gives \frac{100 * 4}{15}

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8 0
3 years ago
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A farmer has 220 bushels of beans for sale at a​ farmer's market. He sells an average of 16 and three fourths bushels each day.
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Answer:

The answer is= 119 Bushels and a half(119.5)

Step-by-step explanation:

Equation related to the problem= 220-(67/4)·T=bushels of Beans left

After 6 days=

220-(67/4·)6=bushels of Beans left

Bushels of beans left=119.5---> You need to change the dot for a fraction

119.5 is 119 bushes and a half so

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Answer: The product of the above polynomials will be

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Step-by-step explanation:

Since we have given that

\frac{2y}{y-3}\times \frac{4y-12}{2y+6}

We need to solve the product of two polynomials :

\frac{2y}{y-3}\times \frac{4y-12}{2y+6}\\\\=\frac{2y}{y-3}\times \frac{4(y-3)}{2(y+3)}\\\\=\frac{4y}{y+3}

Hence, the product of the above polynomials will be

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