8x-9y=11 Solve for y.

Final answer:

The expression to represent the area of the shaded region is (5x + 2)(x + 7) - (3x - 1)(x + 7). Simplifying the expression gives us 2x^2 + 42x + 7.

Explanation:

To find the area of the shaded region, we need to subtract the area of the smaller rectangle from the area of the larger rectangle. The larger rectangle has a length of (5x + 2) and a width of (x + 7), while the smaller rectangle has a length of (3x - 1) and a width of (x + 7). Therefore, the expression to represent the area of the shaded region is:

(5x + 2)(x + 7) - (3x - 1)(x + 7)

To simplify this expression, we can use the distributive property. First, we simplify the expression in the parentheses:

(5x + 2)(x + 7) - (3x - 1)(x + 7)

(5x^2 + 35x + 2x + 14) - (3x^2 - 7x - x + 7)

Next, we distribute the negative sign:

5x^2 + 35x + 2x + 14 - 3x^2 + 7x + x - 7

Finally, we combine like terms:

2x^2 + 42x + 7

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Answer:

Step-by-step explanation:

To determine what the area of the shaded region is, simply find the area of the large rectangle and subtract the product from the smaller one.

Since they are polynomials. Multiply one binomial to the other and first obtain the product, before subtracting the product of the smaller rectangle.

(5x + 2)(3x - 1) - (x)(x + 7)

15x^2 - 5x + 6x - 2 - x^2 - 7

14x^2 + x - 9.

I believe this would be the solution in standard form.

Answer: x = 1

Step-by-step explanation:

So you need to get x completely alone, so take c out of it by subtracting c

-3x = -3 -2c

x = 1 +2/3c

so you would plug that in to solve for C

So you know what x is (or the substitute for it right now)

-3(1 + 2/3c) + 2c = -3

multiply or add

-3 - 2c + 2c = -3

c is 0 when you combine

-3x + 0 = -3

-3x = -3

x = 1