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2 years ago

Y=ax^2+b please solve this

Mathematics

1 answer:

Irina-Kira [14]2 years ago

4 0

This equation is the quadratic formula. If put into a graph (seen below), you would see that is shows a parabola.

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Kudrey was making a box plot. He first plotted the least and greatest data values. He then divided the distance into half, and t

faltersainse [42]

By definition, a box plot is defined as a convenient way of graphically depicting groups of numerical data. Using the quartiles of the numerical data, you can be able to plot where there are lines extending vertically form boxes. Kudrey wrongly divided the box because, we are talking about the "quartiles" not that equal part like a fraction.

7 0

3 years ago

The equation of line j is y= -6/7x +7.Line k is perpendicular to j.What is the slope of line k?

kipiarov [429]

Answer:

y=7/6x

Step-by-step explanation:

When given an equation and asked to find the equation of a perpendicular line that intersects it, you know that the slope is the slope of the equation is the negative recipricoal of the given equation. i.e. y=2x+2 and y=-1/2x+2. The y-intercept does not matter.

I hope you understood and that this helps!

4 0

3 years ago

If the graph of y=cos⁡θ has a change in amplitude and a vertical translation, the equation becomes y=acos⁡θ+d, where a,d∈N and 0

worty [1.4K]

Answer:

The amplitude is 3 and the downward vertical translation is 4 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise some facts about the cosine function

- The Amplitude of cos(x) is the height from the center line to the

peak (or to the trough). Or we can measure the height from

highest to lowest points and divide that by 2.

- The Vertical Shift is how far the function is shifted vertically from

the usual position.

* Now lets solve the question

∵ y = cos(Ф)

- There is a change in amplitude, it becomes a

- There is a vertical translation by b units

∴ y = a cos(Ф) + d

* Now lets look to the graph to find a and d

- From the graph:

∵ The highest value is -1

∵ The lowest value is -7

∴ The amplitude a = (-1 - -7)/2 = (-1 + 7)/2 = 6/2 = 3

∵ The highest value of y = cos(Ф) is 1

∵ The amplitude is 3

∴ The highest value of y = acos(Ф) = 3

∵ The highest value of y = acos(Ф) + d is -1

∴ d = 3 - (-1) = 4 ⇒ means downward vertical translation by 4

∴ y = 3 cos(Ф) - 4

* The amplitude is 3 and the downward vertical translation is 4

3 0

3 years ago

Here is a table of values y=f(x).

Mariulka [41]

A. False. The range of $f(x)$ is the set of values it can produce. In the table, $f(x)$ produces values from $0$ to $3$ . However, the range of all real numbers is all rational numbers, basically from $-\infty$ to $\infty$ , not just a few numbers in-between. So, the range of $f(x)$ is not all real numbers.

B. True. Looking at the table, when $x=-3$ , $f(x)=2$ . This is another way of saying that $f(-3)=2$ , which is what B is saying.

C. True. The domain of $f(x)$ is the set of values of $x$ that produce some output in $f(x)$ . Looking at the table, all of the $x$ values listed on it are in the set $\{-5, -3, 0, 2, 6, 7, 9, 10, 13\}$ , which is what C is saying.

D. False. Looking at the table, when $x=0$ , $f(x)=3$ . This is another way of saying that $f(0)=3$ , which is not what B is saying.

4 0

4 years ago

Anna71 [15]

To determine any area of a shape we need to know the formula for the area of that particular shape which is for a regular hexagon is

Area of hexagon = (3 √3) a^2 / 2
where a is the length of the side of the hexagon
So, first, we determine the length of the side of the smaller hexagon from the given area.

3 in^2 = (3 √3) a^2 / 2
6 in^2 = (3 √3) a^2
a^2 = 2 √3 / 3
a = 1.0746 in

The length of the side of the bigger hexagon is twice that of the smaller so,
A = 2a = 2 (1.0746 in ) = 2.1491 in

Area of the bigger hexagon = (3 √3) a^2 / 2
= (3 √3) 2.1491^2 / 2 = 12 in^2

7 0

3 years ago