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cutebab4786
09.09.2020 •
Mathematics
Priya is hosting a poetry club meeting this week and plans to have frult punch and cheese for the meeting. There are 12 people in the dub
A package of cheese contains 16 ounces and costs $3.99. A one-uallon juz of fruit pundh contains 128 ounces and costs $2.50. Letſ represent the fruit punch. c represent cheese, and b represent Priya's budget in dollars
Write an equation to represent (model) this situation.
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Ответ:
The given equations are;
x = (a + b)²
y = a² + 2·a·b + b²
z = a² + b² - 2·a·b
(a) The numerical coefficients of z terms are
1, 1, -2
The sum of the numerical coefficients = 1 + 1 - 2 = 0
(b) y + z is found by substituting the values of 'y' and 'z', in the expression y + z, as follows;
y + z = a² + 2·a·b + b² + a² + b² - 2·a·b = 2·a² + 2·b²
y + z = 2·a² + 2·b²
y - z = a² + 2·a·b + b² - (a² + b² - 2·a·b) = 4·a·b
(c) Given that a = 3, and b = -2, we have;
x = (a + b)² = a² + a·b + a·b + b² = a² + 2·a·b + b² = y
Therefore, x = y, for all values of 'a', and 'b'
Step-by-step explanation: