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ZanzabumX [31]
3 years ago
11

How to solve this problem?

Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0
What happens when a quadratic function touches the x-axis only once?  It means that the quadratic function has only one real zero.  So which formula should we use? How about the almighty quadratic formula?

So when does the quadratic formula give you only one real zero? When the discriminant is equal to zero!

The discriminant is: b²-4ac

In our quadratic equation that means:
b = (3+m)
a = 4
c = 1

Thus, we need to solve: (3+m)²- 4*(4)*(1) = 0

m²+ 6m + 9 - 16 = 0
m² + 6m - 7 = 0
(m+7)(m-1) = 0
m = -7, 1

That's it! Plug back in and graph to see that it actually works!
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Lostsunrise [7]

Answer:

6 6/8 OR 6 3/4

Step-by-step explanation:

2 5/8 +4 1/8

6 6/8

SImplify= 6 3/4

4 0
3 years ago
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432 ft²

Step-by-step explanation:

First lets find radius (r);

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Now let's find the area;

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Hope this helps!

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3 years ago
Evaluate the line integral c y3 ds,<br> c.x = t3, y = t, 0 ≤ t ≤ 3
Temka [501]
\displaystyle\int_{\mathcal C}y^3\,\mathrm dS=\int_{t=0}^{t=3}t^3\sqrt{1^2+(3t^2)^2}\,\mathrm dt=\int_0^3t^3\sqrt{1+9t^4}\,\mathrm dt

Take u=1+9t^4 so that \mathrm du=36t^3\,\mathrm dt. Then

\displaystyle\int_{\mathcal C}y^3\,\mathrm dS=\frac1{36}\int_{u=1}^{u=730}\sqrt u\,\mathrm du=\frac{730^{3/2}-1}{54}
7 0
3 years ago
Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less th
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Answer:

4

Step-by-step explanation:

25/100 x 80/1 = 20/1

80 - 20 = 60

30/100 x 80/1 = 24/1

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A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 6 feet
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It will be 14 we calculated
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