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MAXImum [283]
3 years ago
14

Use the discriminant to determine the number of real solutions to x^2+7x-7=0

Mathematics
1 answer:
valkas [14]3 years ago
5 0

Step-by-step explanation:

In general, you can skip the multiplication sign, so 5x is equivalent to 5⋅x.

In general, you can skip parentheses, but be very careful: e^3x is e3x, and e^(3x) is e3x.

Also, be careful when you write fractions: 1/x^2 ln(x) is 1x2ln(x), and 1/(x^2 ln(x)) is 1x2ln(x).

If you skip parentheses or a multiplication sign, type at least a whitespace, i.e. write sin x (or even better sin(x)) instead of sinx.

Sometimes I see expressions like tan^2xsec^3x: this will be parsed as tan2⋅3(xsec(x)). To get tan2(x)sec3(x), use parentheses: tan^2(x)sec^3(x).

Similarly, tanxsec^3x will be parsed as tan(xsec3(x)). To get tan(x)sec3(x), use parentheses: tan(x)sec^3(x).

From the table below, you can notice that sech is not supported, but you can still enter it using the identity sech(x)=1cosh(x).

If you get an error, double-check your expression, add parentheses and multiplication signs where needed, and consult the table below.

All suggestions and improvements are welcome. Please leave them in comments.

The following table contains the supported operations and functions:

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Two circles, one of radius 5 inches, the other of radius 2 inches, are tangent at point P. Two bugs start crawling at the same t
lawyer [7]

Answer:

  40 minutes

Step-by-step explanation:

The circumference of the larger circle is ...

  C = 2πr = 2π(5 in) = 10π in

The bug navigates the circumference at 3π in/min, so will take

  time = distance/speed = (10π in)/(3π in/min) = 10/3 min

to travel once around.

__

The circumference of the smaller circle is ...

  C = 2πr = 2π(2 in) = 4π in

The bug navigates this circumference at 2.5π in/min, so will take

  (4π in)/(2.5π in/min) = 8/5 min

to travel once around.

__

The bugs will meet at a time that is the least common multiple of these times. Both can be expressed in 15ths of a minute as ...

  {50/15, 24/15}

Then the LCM of these will be ...

  (1/15)LCM(50, 24) = (1/15)(50×24)/GCD(50, 24) = 1200/30 = 40

It will be 40 minutes before the bugs next meet at point P.

___

A graphing calculator can make use of the mod function to show when the bugs meet at point P (total is displacement of the two bugs from P is zero). It shows the meeting occurs after 40 minutes.

5 0
3 years ago
Claire currently earns $25 per hour at her work. Her boss has decided to give her a 15% raise. What is Claire's new hourly wage?
QveST [7]

Answer:

$28.75

Step-by-step explanation:

15% of 25 is $3.75 and that + the 25 that is already there is $28.75

6 0
3 years ago
Read 2 more answers
The best decimal equivalent to 5/8
Nookie1986 [14]

Answer:

.625

Step-by-step explanation:

6 0
3 years ago
Plz help me it urgent
kykrilka [37]

Answer:

12/(3/4) = 12x4/3 = 16 counters

Step-by-step explanation:

so your answer is 16 counter i redid the math and Nonsibi helped me see where I went wrong sorry

4 0
3 years ago
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Mako's goal is to save $42. He currently has $2 and
matrenka [14]

Answer:

5 weeks its 40 divided by 8

Step-by-step explanation:

8 0
3 years ago
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