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2 years ago

Which statement describes the domain of the function

Mathematics

2 answers:

Nookie1986 [14]2 years ago

6 0

Answer:

D: All real numbers except x=-1 and x=1

Step-by-step explanation:

juin [17]2 years ago

6 0

Step-by-step explanation:

The domain of the rational expression is when the denominator is defined. (non-zero)

When the denominator is 0,

4x² - 4 = 0.

=> x² - 1 = 0, (x + 1)(x - 1) = 0, x = -1 or x = 1.

Hence the answer is all real numbers except x = -1 and x = 1.

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The equation y=2(x-1)^2-5y=2(x−1)

marin [14]

Answer:

(b) It is symmetrical about $x = 1$

Step-by-step explanation:

Given

$y = 2(x - 1)^2 - 5$

See attachment for options

Required

True statement about the graph

First, we check the line of symmetric

$y = 2(x - 1)^2 - 5$

Expand

$y = 2(x^2 - 2x + 1) - 5$

Open bracket

$y = 2x^2 - 4x + 2 - 5$

$y = 2x^2 - 4x -3$

A quadratic equation $y = ax^2 + bx + c$ has the following line of symmetry

$x = -\frac{b}{2a}$

By comparison, the equation becomes:

$x = -\frac{-4}{2*2}$

$x = \frac{4}{4}$

$x = 1$

Hence, the line of symmetry is at: $x = 1$

(b) is true.

8 0

3 years ago

Explain what it means to bisect a segment. Why is it impossible to bisect a line?

mr_godi [17]

<span>To bisect a segment means to cut through the segment's midpoint. You can't bisect a line, because a line goes on forever = no midpoint. and a line has a width of zero so it is impossibl to bisect it

</span>

5 0

3 years ago

Read 2 more answers

An 8 kg box is at rest and is pushed for 10 m with a 60 N force. If it's accelerated to 10 m/s, calculate the efficiency of the

wlad13 [49]

Answer:

2/3

Step-by-step explanation:

The work done on the box is ...

Fd = (60 N)(10 m) = 600 N·m = 600 J

The amount of energy the box has as a result is ...

KE = 1/2mv² = (1/2)(8 kg)(10 m/s)² = 400 kg·m²/s² = 400 J

The ratio of box energy to energy input is ...

η = (400 J)/(600 J) = 2/3 . . . ≈ 66.7%

4 0

3 years ago

The figure below is an isosceles triangle. What is the perimeter of the triangle in terms of a

professor190 [17]

Hey there! I'm happy to help!

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WHAT IS THE PERIMETER?

The perimeter is just the distance around a shape. If you put a fence around a field, the length of all of the fencing is the perimeter.

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WHAT IS AN ISOSCELES TRIANGLE?

An isosceles triangle is a triangle that has at least two sides that have the same length! In our triangle, we have two sides that have the value of a, so that makes it isosceles!

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THE SOLUTION

In our problem, we want to find the perimeter of this triangle in terms of a and c. When we say in terms of, it just means that our answer will include a and c instead of finding a number value.

The perimeter is the sum of each of these sides. This means that the perimeter is a+a+c, which is also 2a+c.

Therefore, the perimeter of this isosceles triangle is 2a+c.

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I hope that this helps! Have a wonderful day! :D

3 0

3 years ago

How do i read a curve graph need help !!!

guapka [62]

A straight line would indicate a constant rate of reaction, while a curve indicates a change in the rate (or speed) of a reaction over time. If a straight line or curve flattens into a horizontal line, that indicates no further change in the rate of the reaction from a certain level.

8 0

2 years ago