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4 years ago

Use your graphing calculator to solve the equation graphically in the interval [4,7]

Mathematics

1 answer:

Scilla [17]4 years ago

8 0

Answer:

x = 5.200

Step-by-step explanation:

Given equation is,

x³ - 4.6x² - 7.03x = -20.332

x³ - 4.6x² - 7.3x + 20.332 = 0

By graphing this equation with the help of a graphing calculator,

Solutions of the equation are the points where y = 0.

In other words, x intercepts are the solutions.

Solutions for the given equation are,

x = -2.3, 1.7 and 5.2

Therefore, solution for the given equation in the interval [4, 7] is x = 5.200

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It takes Roberto eight hours longer than Paula to repair a transmission. If it takes three hours to do the job if they work toge

Stells [14]

Answer:

Paula = 4 hours

Roberto = 12 hours

Step-by-step explanation:

Time taken by Paula = x

Time taken by Roberto = x +. 8

Paula's rate = 1/x

Roberto's rate = 1/(x + 8)

Combined rate = 1/3

Time it takes each if them working alone ;

Paula's rate + Roberto's rate = combined rate

1 /x + 1 / (x +8) = 1/3

Take the L. C. M

((x+8) + x) / x(x+8) = 1/3

(2x + 8) / x(x + 8) = 1/3

3(2x + 8) = x(x + 8)

6x + 24 = x² + 8x

x² + 8x - 6x - 24 = 0

x² + 2x - 24 = 0

Solving the quadratic equation :

x² + 6x - 4x - 24 = 0

x(x + 6) - 4(x + 6) = 0

(x - 4) = 0 or (x + 6) = 0

x = 4 or x = - 6

Time taken cannot be negative

Hence, x = 4

Hence, working alone, it takes ;

Time taken by Paula = 4

Time taken by Roberto = 4 + 8 = 12

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3 years ago

Which pair of expressions are equivalent?

Amiraneli [1.4K]

Answer:

3n + 7 + n and 4n + 7

Step-by-step explanation:

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4 years ago

If you subtract 14 from twice a number, the result is 6. What is the number?

julia-pushkina [17]

The equation for this statement:

2x – 14 = 6

=> 2x = 6 + 14

=> 2x = 20

=> x = 20/2

=> x = 10

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3 years ago

Write an expression using fractions to show how to determine the amount that each person will pay?Then calculate each person's c

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3 years ago

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Answer:

(-2 2/3,0)

(0,2)

Step-by-step explanation:

Just did it

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3 years ago

Read 2 more answers