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4 years ago

Compare learning about functions to learning a new language. How are they similar

Mathematics

1 answer:

kow [346]4 years ago

7 0

Answer: They are similar many ways.

Step-by-step explanation:

1. There is a law that guides both of them. Because each has a strick law.

2. They both need practice. Practice they say makes one perfect. When u practice both of them, you become familiar on how to use them.

3. The brain has to read meaning to either of the two to be able to be able to learn a pattern of learn.

4. Both language and functions are systems. They are made of different parts, language is made up of different words while function is made up of axioms which theorems.

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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

$g(x)=-5x^{2}+100x-450$

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

$g(x)=-5x^{2}+100x-450$

Complete the square

$g(x)=-5(x^{2}-20x)-450$

$g(x)=-5(x^{2}-20x+100)-450+500$

$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

The vertex is the point (10,50)

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0

3 years ago

Read 2 more answers

acceptance rate of 12 that mean that 12% apply will get it school took 2,400 last year how many applied

netineya [11]

I hope this helps you

2400.12%

2400.12/100

288

7 0

3 years ago

2х + Зу = 24<br> What is the x and y intercept

DochEvi [55]

Answer:

rearrange into y=mx+c

so it becomes

3y= -2x+24

y= (-2/3)x+24

substitute values for x

when x is 0

y is (-2/3)*0=0 +24 =24

for x intercept

0=(-2/3)*x+24

0-24=-2/3*x

-24/(-2/3)=x

3 0

4 years ago

Unit 11: Value & Surface Area <br> Homework 1: Area of planes Figure<br> Pls Help me with #11

kotegsom [21]

Answer:

The area of the triangle is 351cm^2.

Step-by-step explanation:

To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.

Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.

Using Pythagoras' Theorem,

AB^2 = AT^2 + TB^2

AT^2 = AB^2 - TB^2

AT^2 = 30^2 - (26/2)^2

AT^2 = 30^2 - 13^2

AT =

$\sqrt{ {30}^{2} - {13}^{2} }$

AT = 27.0370116692

So the length of AT is our height. We can now find the area of the triangle.

Area of triangle = (1/2) x 26cm x AT

Area of triangle = 351.4811516996

Area of triangle = 351cm^2 (To 3s.f.)

8 0

3 years ago

A number,x, decreased by the sum of 2x and 5 represent what equation

Annette [7]

We set up this expression that we have to simplify. Although, to make it an equation, we set the expression given equal to the variable y, making this a function too.
y=x-(2x+5)
distribute the negative symbol
y=x-2x-5
combine like terms
y=-x-5
and that is our final answer

7 0

4 years ago

Read 2 more answers