Match the function to the correct parabola

Mathematics

1 answer:

Lisa [10]3 years ago

5 0

Answer:

The box to the left will have the equation p(x) = 5x² and the box to the right will have the equation n(x) = $\frac{1}{5} x^{2}$

Step-by-step explanation:

The coefficient of the x² decides how wide or narrow a quadratic graph is. If the coefficient is a fraction of 1, the smaller the fraction the wider the graph gets. If the coefficient is a number bigger than 1, the bigger the number, the narrower the graph gets.

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Which of the following is an equation of a line parallel to the equation y=4x+1?

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Answer:

y = 4x + b, where b is any number

Step-by-step explanation:

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Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry foo

Ghella [55]

Answer:

PART A: Inequality (a)

Solve for y

The graph of y ≥ ⅓(8-x) is represented by the upper red line and all points in the shaded area below it. The line is solid because points on the line satisfy the conditions.

Inequality (b)

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The graph of y ≥ 2 - x is represented by the lower blue line and all points in the shaded area above it. The line is solid because points on the line satisfy the conditions. The solution lies in the purple area. It consists of all combinations of x and y that make y ≥ ⅓(8 - x) and y ≥ 2 - x. A practical but not a mathematical condition is that all values of x and y must be zero or positive numbers (for example, you can't have -2 servings of food), so I have plotted only the numbers in the first quadrant.

PART B: If a point is a solution of the system, then the point must satisfy both inequalities of the system.

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That means Michelle buys 3 serves of dry food and 1 serving of wet food.

Step-by-step explanation:

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