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Cloud [144]
1 year ago
5

Find the real solutions of the equation by graphing. x^3-4x^2-20x=-48The real solutions of the equation are _____.

Mathematics
1 answer:
AnnZ [28]1 year ago
7 0

Given the following equation:

x^3-4x^2-20x=-48

We will find the real solutions to the equation by graphing.

We will rewrite the given equation as follows:

x^3-4x^2-20x+48=0

The graph of the function will be as shown in the following figure:

As shown the function has 3 real solutions which are the x-intercepts

So, the answer will be:

x=-4,2,6

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Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16
ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option  (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: a^2+b^2=c^2

Thus:

\sqrt{a^2+b^2}=c

Option A:

\sqrt{8^2+15^2}=17 → 17 = 17 OK!

Option B:

\sqrt{6^2+8^2}  = 10 → 10 ≠ 12 NO

Option C:

\sqrt{9^2+11^2} = [tex]\sqrt{202}[/tex] → \sqrt{202} ≠ 21 NO

Option D:

\sqrt{4^2+13^2} = \sqrt{185} → \sqrt{185} ≠ 16 NO

3 0
3 years ago
Please help marking brainliest if correct!!
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

2x=5x+60.

0=3x+60 ( subtract 2x from both sides)

-60=3x(subtract 60 on both sides)

x=-20

Hope this helps plz mark brainliest if correct :D

6 0
3 years ago
Read 2 more answers
Need help on this!!!
Helga [31]

Answer:

Step-by-step explanation:

Range goes from the lowest point on a graph to the highest point, not including anything in between those 2 extremes. We will evaluate the quadratic for the values given. First f(2):

f(2)=(2)^2-5 so

f(2) = -1

Now, f(4):

f(4)=(4)^2-5 so

f(4) = 11

Now, f(7):

f(7)=(7)^2-5 so

f(7) = 44

The lowest y value is -1 and the highest is 44, so the range is from -1 to 44 (I can't tell which of your choices reflects that because it's too small!)

4 0
3 years ago
The number of games in the first round of a chess tournament is equal to 2×2×2×2×2×2. Write the number of games using an exponen
Naily [24]

Answer:

2^6

Step-by-step explanation:

2 is being multiplied 6 times meaning it would be 2 to the 6th power.

8 0
3 years ago
Passes through (4, 2) and (4,-5) in standard form
elena-s [515]

Answer:

x+4=0

Step-by-step explanation:

7 0
2 years ago
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