MATHEMATICS HIGH SCHOOL

A CD makes 58 1/2 revolutions in 3/4 min.Complete the unit rate.

______revolutions/min

Answers

Answer 1
Answer: The most important thing in this problem is understanding and then dividing the given units properly. The first thing that is given is that the CD makes 58 1/2 revolutions in 3/4 minutes. We have to first simplify the number of revolutions made by the CD. This will make the problem in hand very easy.
Number of revolutions made by the CD = 58 1/2
                                                               = 117/2
Then
The unit rate = (117/2)/(3/4)
                     = (117 * 4)/(2 * 3)
                     = (117 * 2)/3
                     = 39 * 2
                     78
So the unit rate is 78 revolutions per minute.
Answer 2
Answer: 78 revolutions per minute58.5I divided it by 3 to get 19.5Then multiplied 19.5 by 4 to get the amount of rotations in a minute

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consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-intercept: ( , 0)

Answers

x^2 + 2x - 15 = 0
(x - 3)(x + 5) = 0
x = 3 or x = -5
left-most x-intercept: (-5, 0)
right-most x-intercept: (3, 0)

Final answer:

To find the x-intercepts of the quadratic function f(x) = x^2 + 2x - 15, we factor the equation to (x + 5)(x - 3) = 0, resulting in x-intercepts at (-5, 0) and (3, 0).

Explanation:

The student is asking how to find the x-intercepts of the quadratic function f(x) = x2 + 2x - 15. An x-intercept is a point where the graph of the function crosses the x-axis, which occurs when f(x) = 0. To find the x-intercepts, we need to solve the quadratic equation x2 + 2x - 15 = 0. This can be done by factoring the quadratic, applying the quadratic formula, or completing the square. In this case, the equation factors to (x + 5)(x - 3) = 0, which gives the solutions x = -5 and x = 3. Therefore, the left-most x-intercept is (-5, 0), and the right-most x-intercept is (3, 0).

Learn more about x-intercepts here:

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Which of the following statements describes circumscribing? Choose all correct answers.A) One figure is drawn around the other.
B) One figure must be a circle.
C) The figure on the inside circumscribes the figure on the outside.
D) Circumscribing can be done as a construction.
E) The figures intersect.

Answers

In circumscribing,
One figure is drawn around the other and Circumscribing can be done as a construction.

Answer:

A and D are correct options.

Step-by-step explanation:

Circumscribing some figure means to draw one figure around another in such a way that all the sides should touch the outside figure. Like if we circumscribe a circle around a triangle, all the vertices must touch the circle.

Based on the definition, the following statements are correct answer.

A) One figure is drawn around the other.

D) Circumscribing can be done as a construction.

Many figures can be circumscribed like - a right triangle around a square, a circle around a triangle or a square etc.

Please help and explain how to do it

Answers

so F(m) because F dollars for every mph over the speed limit
so 40 dollar speeding fine so +40 
10 dollars for every mile over and m=miles over so put them all toghether and get
F(m)=10m+40


1.
so if you were going 78 mph
to find the mph over you would do 78-70=8mph over so put in 8 for m and get
F(8)=10(8)+40=80+40=$120 fine for going at 78 mph

Does anyone know how to do thiss

Answers

Slope~formula = (y_2-y_1)/(x_2-x_1) = (-1 (1)/(2)- (1)/(2) )/(2 (1)/(2)-\left ( -(1)/(2) \right) ) = (-2)/(2 (1)/(2) + (1)/(2) ) = (-2)/(3) =\boxed {- (2)/(3) }

What do you notice about the y-coordinates before and after a horizontal stretch? A) The y-coordinates increase after a horizontal stretch. B) The y-coordinates decrease after a horizontal stretch. C) The y-coordinates remain the same after a horizontal stretch. D) The y-coordinates are not affected by a horizontal stretch.

Answers