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Blizzard [7]
3 years ago
8

How many roots does

x^2+3x" align="absmiddle" class="latex-formula"> have?

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

  5

Step-by-step explanation:

The fundamental theorem of algebra tells you a 5th-degree polynomial has 5 roots. This one has 3 real roots and two complex roots. They are ...

  x = 0

  x = 1 (multiplicity 2)

  x = -1 -i√2

  x = -1 +i√2

_____

The graph shows the three real roots and the graph of the remaining factor after those roots are factored out. It is easy to find the complex roots of that factor from its vertex.

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On the first day of school each student is given $.50 to attend, on day two each student earns a dollar. On day three each stude
Bumek [7]

Answer:

128 dollars

Step-by-step explanation:

4 0
4 years ago
If cos theta = 0.3090, which of the following represents approximate values of sin thetha for 0 degrees <90 degrees? A. sin t
artcher [175]

In this question, the given value is

cos \theta = 0.3090

And we have to find the value of sin theta and tan theta where theta is in first quadrant .

And in first quadrant, all are positive .

Now we use the formula, which is

sin \theta = \sqrt{1-cos^2 \theta} = \sqrt{1 - 0.3090^2} = 0.9511

And tan theta is the ratio of sin theta and cos theta, that is

tan  \theta = \frac{sin \theta}{ cos \theta} = \frac{0.9511}{0.3090} =3.078

So the correct option is B .

4 0
3 years ago
Read 2 more answers
At the north campus of a performing arts​ school, ​20% of the students are music majors. At the south​ campus, 70​% of the stude
antoniya [11.8K]

Answer:

The north campus had 800 while the south campus had 200.

Step-by-step explanation:

The question stated that there are 1000 students in the merged campus. That's the sum of the number of students in the north and the south campus before the merger.

Let x denote the number of students in the north campus before the merger. The other (1000 -x) students would all belong to the south campus before the merger.

Before the merger, 20\% of the students of the north campus are of music majors. In terms of x, that's (20\%)\cdot x = 0.20\,x students.

On the other hand, 70\% of the students of the south campus are of music majors. That corresponds to (70\%)\cdot (1000 - x) = 0.70\cdot (1000 - x) = 700 - 0.70\, x students.

With a similar logic, the number of music students in the merged east campus will be 30\% \times 1000 = 300.

The question implies that the sum of students in the two campuses should be equal to the number of music students in the east campus. That is:

0.20\, x+ (700 - 0.70\, x) = 300.

Solve for x:

x = 800.

In other words, there are 800 students in the north campus and (1000 - 800) = 200 students in the south campus before the merger.

6 0
4 years ago
If a triangle with vertices A(-1, 4), B(-1, -2), C(2, -2) is dilated with a scale factor of 2 and a center of dilation at the or
givi [52]

Answer:

A' (-2,8) B' (-2,-4) C' (4,-4)

Step-by-step explanation:

Dilations Rule :

(x,y) → (kx,ky)

Scale factor = K

When your scale factor is more than one our triangle gets bigger. When your scale factor is less than one our triangle gets smaller.

( you plug in 2 in every point and those are your answers).

Remember negative times negative is positive and positive times negative is negative.

5 0
3 years ago
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
marusya05 [52]

Answer:

The y-intercept is (0,5)

Step-by-step explanation:

y-intercept can be found by plugging x=0 into given equation

f(x)=5(6)^0=5(1)=5  

which same as given y-intercept (0,5)

8 0
4 years ago
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