The range of y = sin(x) is _______. a. 0 ≤ y ≤ 1 b. -1 ≤ y ≤ 1 c. y ≤ 1 d. y ≥ 0

Answers

Answer 1

Answer:

Answer:

$\sf\nb.\ -1 \le y \le 1$

Explanation:

$\sf\n\textsf{For all real values of x, value of sin(x) will always be greater than or equal to -1 }\n\textsf{and less than or equal to 1.}$

$\textsf{Here is a graph of sine function. From the graph, it is clear that the y-value of sine}\n\textsf{is never above 1 or below -1. So the range of y = sinx is }\sf{-1\le y \le 1.}$

Answer 2

Answer:

Final answer:

The range of the sin(x) function is -1 ≤ y ≤ 1, because the output of the sin(x) function oscillates between -1 and 1 regardless of the input 'x' value.

Explanation:

The range of a function represents the set of all possible output (y) values that the function can produce. The sine function, sin(x), oscillates between -1 and 1. This is because the maximum height a sine wave can reach is 1 (at π/2 and its equivalents) and its minimal height is -1 (at 3π/2 and its equivalents). Therefore, no matter what value of 'x' you insert into the sin(x) function, the maximum and minimum values for the output 'y' is 1 and -1 respectively. Hence, the correct answer is -1 ≤ y ≤ 1.

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1/2(x + 12) = 4x – 1

Answers

$(1)/(2) (x+12)=4x-1$

Multiply both sides by 2 :

$(1)/(2)(x+12)*2 = 4x*2-1*2$

$x+12=8x-2$

$x+12-12=8x-2-12$

$x=8x-14$

Subtract 8 x from both sides:

$x-8x=8x-14-8x$

$-7x=-14$

Divide both sides by -7 :

$(-7x)/(-7) = (-14)/(7)$

$x = (14)/(7)$

$x = 2$

1 solution

hope this helps!

Answer:

B.one

Step-by-step explanation:

there is only one solution to the problem.

What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8? What is the slope of a line perpendicular to the line whose equation is y = 2x + 5?

What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2.

Answers

Y = -2x + 8

The slope of the perpendicular line will be: y = -1/2x + 5

There are 25 students in Mrs. Venetozzi’s class at the beginning of the school year, and the average number of siblings for each student is 3. A new student with 8 siblings joins the class in November. What is the new class average for number of siblings? Round your answer to the nearest hundredth.

Answers

It is 25/3 which gives you 8.3 but let's say it is 8. So 8 students have 3 siblings and 9 have 2-0 siblings and 8 have 4-any number higher siblings. So if that kid joins there would be an avg of 3.63 siblings so 3.63 is the answer.

suppose the monkey is typing using only the 26 letter Keys what is the probability that the monkey will type cat

Answers

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Solve for x
9 (x +2) < 3(3-5)

Answers

Step-by-step explanation:

9x+18 < 9-15

1)9-15= -6

9x+18 < -6

9x+18= -5

9x= (-5) - 18

9x= -23

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3x+y=8 I really don't understand this and I have tried to get the answer but always end up wrong.3x-y=4

Answers

Answer:

The solution of the system of the equation is (2, 2)

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + y = 8 ⇒ (1)

∵ 3x - y = 4 ⇒ (2)

→ Add equations (1) and (2) to eliminate y

∴ (3x + 3x) + (y + -y) = (8 + 4)

∴ 6x + 0 = 12

∴ 6x = 12

→ Divide both sides by 6 to find x

∵ $(6x)/(6)=(12)/(6)$

∴ x = 2

→ Substitute the value of x in equation (1) to find y

∵ 3(2) + y = 8

∴ 6 + y = 8

→ Subtract 6 from both sides

∵ 6 - 6 + y = 8 - 6

∴ y = 2

∴ The solution of the system of the equation is (2, 2)

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