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1 year ago

Figure 4 shows part of the curve with equation

Mathematics

1 answer:

swat321 year ago

7 0

The values of a and b are 2 and π/5, respectively

<h3>How to determine the values of a and b?</h3>

The graph of the complete question is added as an attachment

The equation of the graph is given as:

y = sin(ax - b)

From the graph, we have the following points:

(π/10, 0), (3π/5, 0) and (11π/10, 0)

Substitute the above points in y = sin(ax - b)

sin(a(π/10) - b) = 0 and sin(a(3π/5) - b) = 0

Take the arc sin of both sides

a(π/10) - b = 0

a(3π/5) - b = π

Subtract the equations to eliminate b

a(π/10) - a(3π/5) = -π

Divide through by π

a(1/10) - a(3/5) = -1

Express fractions as decimals

0.1a - 0.6a = -1

Evaluate the difference

-0.5a = -1

Divide by -0.5

a = 2

Substitute a = 2 in a(3π/5) - b = π

2 * (3π/5) - b = π

Evaluate the product

6π/5 - b = π

This gives

b = 6π/5 - π

Evaluate the difference

b = π/5

Hence, the values of a and b are 2 and π/5, respectively

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The answer will be: 4

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timurjin [86]

Answer:

<u>The number of copies that will make it worth the discount card is 250.</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Cost per copy without discount = US$ 0.08

Cost per copy with discount = US$ 0.05

Cost of discount card = US$ 7.50

2. How many copies will make it worth the discount card?

For finding out this number of copies, we will use the following equation:

x = Number of copies that will make it worth the discount card

0.08x = 0.05x + 7.50

0.03x = 7.50 (Like terms)

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x = 250 (Dividing by 3 at both sides)

<u>The number of copies that will make it worth the discount card is 250.</u>

Note: Same answer to question 14127203, answered by me today.

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3 years ago

Help please? match each system of linear equation with the correct numbers of solutions

Ksenya-84 [330]

Answer:

Step-by-step explanation:

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Second system: one solution

Third system: infinitely many solutions, since the second equation is a multiple of the first

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2 years ago

Show work 29 points pls help

Tanzania [10]

Answer:

Step-by-step explanation:

The equation of a proportional relationship is

y = kx ← k is the constant of proportionality

Divide both sides by x

$\frac{y}{x}$ = k

To find k use any ordered pair from the table

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2 years ago

Dwayne plays five games of rock-paper-scissors. In order to seem unpredictable, he never chooses the same move (rock, paper, or

Andreyy89

Answer:

Step-by-step explanation:

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In the first blank, he could choose any move, and there are three, rock, paper, and scissors. In the first blank, you would put 3. Then, since you already picked one, you can't repeat it, so you would end up with 2 for the second blank. Continuing with the next blanks, the third, fourth, and fifth spaces would be 2 choices because you cannot have the one choice you chose previously. In the end, the blanks would look somewhat like this:

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3 years ago