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1 year ago

Explain how the graph of y = 0.5x (the solid line on the graph) differs from the graph of y = x (the dashed line)

Mathematics

1 answer:

Fittoniya [83]1 year ago

8 0

Hello there. To solve this question, we'll have to see how to identify the difference between the two lines y = 0.5x (solid line) and y = x (the dashed line)

First, usually the solid line represents itself, all the values of y such that y = 0.5x.

In this case, for every value you take for x in the real line, you divide it by two and this will be its image, the line covers all the points satisfying this relation.

The dashed line usually represents inequalities, in this case, y is not equal to x.

When you have y > x, you have a dashed line and a shadowed region covering all the plane above the line.

When you have y < x, you have a dashed line and a shadowed region covering all the plane under the line.

When y is not equal to x, you only have a dashed line.

Therefore, the dashed line represents all the points in the plane such that y is equal to x, but excluding them in some sense.

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Find the area of the following figure. Explain or show how you found your answer.

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Answer:No clue

Step-by-step explanation:

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3 years ago

In the figure below an angle that is supplementary to angel FAB is:

Vlad1618 [11]

Answer:

CAB

Step-by-step explanation:

Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.

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3 years ago

Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f

vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

$f(x)=ax^3+bx^2+cx+d$

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

$y = x^3 - x$

Equate y to 0

$x^3 - x = 0$

Expand

$x(x^2 - 1) = 0$

Express $x^2 - 1$ as difference of two squares

$x(x - 1)(x +1 ) = 0$

x = 0 or 1 or -1

For 2 x intercepts

$y = x^3 - x$

$y =(x-5)^2)(x+7)$

Equate y to 0

$(x-5)^2(x+7) = 0$

Expand

$(x-5)(x-5)(x+7) = 0$

x= 5 or x = -7

For 1 x intercept

$y = x^3$

Equate y to 0

$x^3 = 0$

Take cube roots of both sides

$x = 0$

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

$y = x^2 + x + 17$

The above function has no x intercept.

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

$y = x^2- 6x + 9$

Equate y to 0

$x^2- 6x + 9 = 0$

Expand

$x^2 - 3x - 3x + 9 = 0$

$(x - 3)(x-3) = 0$

$x = 3$

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0

2 years ago

Need some math help please!

stellarik [79]

Hello!

In our triangle, c is the hypotenuse. We are given an adjacent side length to our angle. This means we will use the cosine. Let's find it first.

cos54≈0.59

This gives us the equation below.

0.59=9/c

0.59c=9

c≈15.25

Therefore, c is equal to about 15.25

I hope this helps!

8 0

3 years ago

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shutvik [7]

Answer:

$\pmb{4000+800+10+2 }$

Step-by-step explanation:

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4×(1000)+8(100)+10(1)+1(2)

4000+800+10+2

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2 years ago

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