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Dafna11 [192]
3 years ago
5

Marika solved the equation (6x + 15)2 + 24 = 0. Her work is below. 1. (6x + 15)2 = –24 2. StartRoot (6 + 15) squared EndRoot = S

tartRoot negative 24 EndRoot 3. 6x + 15 = Negative 2 StartRoot 6 EndRoot 4. 6x = Negative 2 StartRoot 6 EndRoot – 15 5. x = StartFraction negative 2 StartRoot 6 EndRoot minus 15 Over 6 EndFraction Analyze Marika’s steps. Which statement is true about her work? In step 2, Marika should have simplified StartRoot negative 24 EndRoot to be 4 StartRoot negative 6 EndRoot. There are no real solutions to this equation because the square root of a negative number is not a real number. There should be two real solutions to this equation because StartRoot negative 24 EndRoot = Plus or minus 2 StartRoot 6 EndRoot. Marika correctly solved this equation.
Mathematics
2 answers:
malfutka [58]3 years ago
11 0

Answer:

There are no real solutions to this equation because the square root of a negative number is not real. So answer B

Step-by-step explanation:

nikitadnepr [17]3 years ago
6 0

Answer:

its  b

Step-by-step explanation:

if youre on ed

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Step-by-step explanation:

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where <em>O</em> represents the leg opposite the angle, <em>A </em>represents the leg Adjacent to the angle, and <em>H</em> represents the hypotenuse. The lamppost in this problem is the leg <em>opposite the angle</em>, so you want a formula that has <em>O </em>in the equation, namely <em>sin </em>or <em>tan</em>. Because you were given the leg <em>adjacent </em>to the angle, it makes sense here to use <em>tan.</em> Set up the equation as such to solve:

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polet [3.4K]

Answer:

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  • (b) C(1800) = 630
  • (c) see attached (lower right graph). The slope represents the cost (in dollars) per mile.
  • (d) It represents the fixed cost (amount she pays even if she does not drive)
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Step-by-step explanation:

(a) You are given two points, (d, C) = (360, 342) and (780, 426). The two-point form of the equation for a line can be helpful.

... y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Using the given points and variables, ...

... C = (426 -342)/(780 -360)(d -360) +342

... C = (84/420)(d -360) +342

... C = 0.20d +270 . . . . the equation for cost as a function of miles driven

(b) Fill in the value for d and do the arithmetic.

... C = 0.20·1800 +270 = 360 +270 = 630

(c) The slope of the curve is (change in dollars)/(change in miles) = $/mile, the cost of each mile driven. (It is $0.20 per mile.)

(d) The C-intercept is C(0) = cost for 0 miles driven. (It is $270.)

(e) Both your own experience and the problem statement tell you that the cost of vehicle operation varies with miles driven. If nothing else, you need to pay more for gas the farther you drive.

(In real life, you don't expect the model to be exactly linear, becasue you get a large jump in cost when you reach certain maintenance interval miles: 15,000, 30,000, and so on.)

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3 years ago
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