A market sells soup in 6-ounce cans and 12-ounce cans. On Tuesday, the market sold a total of 420 ounces of soup in 44 cans. The system of equations below represents this situation. 6x + 12y = 420
x + y = 44

How many 6-ounce cans of soup did the market sell on Tuesday?

The market sold 18 6-ounce cans of soup on Tuesday

Step-by-step explanation:

Let us solve the question

∵ The number of the 6-ounce cans is x

∵ The number of 12-ounce cans is y

∵ 6x + 12y = 420

→ Divide each term by 6 to simplify the equation

∴ x + 2y = 70 ⇒ (1)

∵ x + y = 44 ⇒ (2)

→ Subtract equation (2) from equation (1)

∵ (x - x) + (2y - y) = (70 - 44)

∴ 0 + y = 26

∴ y = 26

Substitute the value of y in equation (2) to find the value of x

∵ x + 26 = 44

→ Subtract 26 from both sides

∴ x + 26 - 26 = 44 - 26

∴ x = 18

∵ x represents the number of the 6-ounce cans

∴ The market sold 18 6-ounce cans of soup on Tuesday

283 square feet

step-by-step explanation:

good luck

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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