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3 years ago

Which function is represented by the graph

Mathematics

2 answers:

tatyana61 [14]3 years ago

4 0

It’s the forth one

The answer is -|x-4|.

photoshop1234 [79]3 years ago

4 0

Answer:y=-|x-4|

Step-by-step explanation:

we know the graph of y=|x| touches at x=0 and opens upward towards y axis

but this graph is facing downwards therefore it should be of form

y=-|x|

but it touches the x axis at x=4

therefore the graph is represented by

y=-|x-4|

4 is added inside the mod because it intersect x axis at x=4

The graph would be y=-|x-4|+1 if it shifts 1 unit upwards.

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How many times 0.05 is 0.5

andreyandreev [35.5K]

0.05 X 10 = .5 because 5 x 10 is 50, and you add the decimal place. I hope this helps you!

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3 years ago

Read 2 more answers

A map has a scale of 2.5 inches=125 miles. If the actual distance is 300 miles what is the distance on the map

e-lub [12.9K]

Answer 5.5

Explanation 125 + 125= 250
250 + 50=300

Is 2 125s and 1 50

Each 125 is 2.5

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2.5+2.5=5
plus the other half = 5.5

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3 years ago

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3 years ago

It takes 0.0015 quart of paint to cover 1 square inch.

lorasvet [3.4K]

The total amount of paint needed is 15 quart and it cost $41.25.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

0.0015 quart of paint to cover 1 square inch.

Let the area of the rectangle be 10000 in², hence:

Amount of paint = 0.0015 quart per in² * 1000 in² = 15 quart

Cost of paint = $2.75 per quart * 15 quart = $41.25

The total amount of paint needed is 15 quart and it cost $41.25.

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3 years ago

Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

8 0

4 years ago