The population of a certain country was approximately 75 million in 1900, 225 million in 1950, and 275 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points (0,75), (50,225), and (100,275). Use this model to estimate the population in 2050. Let x be the number of years since 1900 and y be the population in millions.

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Q: find the quadratic function for which:   Vertex is 1 - 1, 22; contains the point 11, 62

A: Vertex form of a quadratic function: y=ax-h2+k        ...(1) Where (h, k) is the vertex.

Q: i am having trouble with this one

A: Part (a)

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Q: Find the quadratic function y = ax + bx +c whose graph passes through the given points. (1, - 1), (-…

A: To form the quadratic equation from points (1,-1),(-1,-5),(2,10)

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Q: snip

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A: The solution is given below :

Q: Find the quadratic function for which: Vertex (3,-4) is contains the point( 4,2)

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Q: Write a quadratic equation in standard form with - 4 and 3/2 as its roots. I 2x^2 - 5x - 12 = 0…

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A: To show that the sum of the roots of a quadratic equation is -ba.

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A: From the given information we find the solution.

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A:

Q: find the quadratic polynomial whose graph passes through the points (1,3), (2,10), (3,21).

A: Given query is to find the equation of quadratic polynomial.

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Q: Find the intercepts of the graph of each quadratic function. Show solutions also. 1. y = 4x^2+8x+3…

A: 1. y=4x2+8x+3 Y intercept is where x=0. So, y=4×02+8×0+3=3 So, y  intercept is (0,3)      x…

Q: What is the largest value of the quadratic f

A: Here is the solution of the given problem.

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

A: Explanation of the answer is as follows

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Q: Find a quadratic polynomial whose zeroes are (i)3, -4 (i)2, 1

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A: we have to find the discriminant and the number of real solutions

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A: Given

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Q: Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).

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Q: Find the quadratic function for which: Contains the points (0, 5), (1, 2), and (3, 2)

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.