George has opened a new store and he is monitoring its success closely.He has found that this store’s revenue each month can be modeled by r(x)=x^2+5x+14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x)=x^2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.What does (r−c)(5) mean about George's new store?The new store will have a profit of $5400 after its fifth month in business.​​The new store will have a profit of $900 after its fifth month in business.The new store will sell 5400 items in its fifth month in business. The new store will sell 900 items in its fifth month in business.

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general 4 months ago 4171

Tanica drew a line of best fit on a scatterplot, as shown below. The equation of the line is y=-1.02x+7.09 Using the line, she predicted that when the value of x is 0.5, the value of y will be approximately 7.6. What was her mistake? A.She drew the line of best fit incorrectly.B.She used the line of best fit to predict y for an incorrect value of x. C.She forgot the minus sign before the first term on the right side of the equation when she predicted y. D.She plugged 0.5 into the equation for y instead of x and actually predicted x instead of y.

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general 4 months ago 7017

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 112 miles due north of the warehouse. Coordinate grid shown from negative 84 to positive 84 on x axis at intervals of 14 and negative 84 to positive 84 on y axis at intervals of 14. A straight line is shown between points labeled Airport and Warehouse. Airport is the ordered pair negative 42, 56, and Warehouse is the ordered pair 42 and negative 56. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph. A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled? 112 154 224 252

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general 4 months ago 2660

1. Find the domain of the given function. (1 point)f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.A) x > 0B) All real numbersC) x ≥ -3, x ≠ 2D) x ≠ -8, x ≠ -3, x ≠ 22. Identify intervals on which the function is increasing, decreasing, or constant.g(x) = 2 - (x - 7)2 (1 point)A) Increasing: x < 2; decreasing: x > 2B) Increasing: x < -7; decreasing: x > -7C) Increasing: x < 7; decreasing: x > 7D)Increasing: x > 2; decreasing: x < 23. Perform the requested operation or operations.f(x) = 4x + 7, g(x) = 3x2Find (f + g)(x). (1 point)A) four x plus seven divided by three x squared.B) 12x3 + 21xC) 4x + 7 + 3x2D) 4x + 7 - 3x24. Perform the requested operation or operations.f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)). (1 point)A) g(f(x)) = x - five divided by eight.B) g(f(x)) = xC) g(f(x)) = 8x + 35D) g(f(x)) = x + 105. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five. (1 point)A) f(x) = nine divided by square root of x. , g(x) = 5x + 5B) f(x) = square root of quantity five x plus five. , g(x) = 9C) f(x) = nine divided by x. , g(x) = 5x + 5D) f(x) = 9, g(x) = square root of quantity x plus five6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size? (1 point)A) 4.94 secB) 3.28 secC) 9.7 secD) 1.33 sec7. Find the inverse of the function. (1 point)f(x) = the cube root of quantity x divided by seven. - 9A) f-1(x) = 21(x + 9)B) f-1(x) = [7(x + 9)]3C) f-1(x) = 7(x3 + 9)D) f-1(x) = 7(x + 9)38. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 - 9 (1 point)A) Shift the graph of y = x2 right 14 units and then up 9 units.B) Shift the graph of y = x2 down 14 units and then left 9 units.C) Shift the graph of y = x2 right 14 units and then down 9 unitsD) Shift the graph of y = x2 left 14 units and then down 9 units9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. 'A) Shift the graph of f right 14 units.B) Shift the graph of f right 4 units.C) Shift the graph of f left 14 units.D) Shift the graph of f left 4 units.10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.f(x) = -16x5 - 7x4 - 6 (1 point)A) Degree: -16; leading coefficient: 5B) Degree: 5; leading coefficient: -16C) Not a polynomial function.D) Degree: 9; leading coefficient: -1611. Write the quadratic function in vertex form.y = x2 + 4x + 7 (1 point)A) y = (x + 2)2+ 3B) y = (x + 2)2 - 3C) y = (x - 2)2 - 3D) y = (x - 2)2 + 312. Find the zeros of the function.f(x) = 3x3 - 12x2 - 15x (1 point)A) 0, 1, and -5B) -1 and 5C) 0, -1, and 5D) 1 and -513. Find a cubic function with the given zeros.7, -3, 2 (1 point)A) f(x) = x3 - 6x2 - 13x - 42B) f(x) = x3 - 6x2 + 13x + 42C) f(x) = x3 - 6x2 - 13x + 42D) f(x) = x3 + 6x2 - 13x + 4214. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3 (1 point)A) 188B) 946C) 1,704D) 2,51215. Use the Rational Zeros Theorem to write a list of all potential rational zeros.f(x) = x3 - 10x2 + 4x - 24 (1 point)A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24B) ±1, ±2, ±3, ±4, ±24C) ±1, ± alt='one divided by two', ±2, ±3, ±4, ±6, ±8, ±12, ±24D) ±1, ±2, ±3, ±4, ±6, ±12, ±24PLEASE NEED HELP HERE ASAP PRIORITY HELP WOULD BE APPRECIATED

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general 4 months ago 4363