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weqwewe [10]
2 years ago
13

what does the graph of f(x)=x^2 look like if it is negative make sure to include shape and direction?

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
8 0

Answer:

see the explanation

Step-by-step explanation:

we have

f(x)=x^2

This is the equation of a vertical parabola open upward

The vertex represent a minimum

The vertex is the point (0,0)

The general shape of a parabola is the shape of a "pointy" letter "u," or a slightly rounded letter, "v."

If the function is negative

then

f(x)=-x^2

This is the equation of a vertical parabola open downward

The vertex represent a maximum

The vertex is the point (0,0)

see the attached figure to better understand the problem

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The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than th
Katarina [22]
<h3>Answers:</h3><h3>The shortest side is 15 ft</h3><h3>The middle side is 18 ft</h3><h3>The longest side is 26 ft</h3>

===========================================

Define the three sides to be a,b,c such that a < b < c

So c is the longest side, and 'a' is the shortest with b in the middle.

"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4

"third side is 3 ft longer than the shortest side" so b = a+3

Both b and c are in terms of 'a', allowing us to do substitutions like so

a+b+c = perimeter

a+b+c = 59

a+(a+3)+c = 59 .... first substitution, plug in b = a+3

a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4

4a-1 = 59 .... combine like terms

4a = 59+1 ... add 1 to both sides

4a = 60

a = 60/4 ... divide both sides by 4

a = 15

The shortest side is 15 ft

b = a+3 = 15+3 = 18

The middle side is 18 ft

c = 2a-4 = 2*15-4 = 26

The longest side is 26 ft

---------------------

Check:

The three sides should add up to a perimeter of 59 ft

a+b+c = 15+18+26 = 59

so the answer is confirmed

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Ok...I considered it....oh..u want me to answer it...lol..ok

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An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.

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