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Anestetic [448]
2 years ago
15

3s2–4s+5=0 what type of solutions does the equation have? one real solution two real solutions two complex (non-real) solutions

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Mathematics
1 answer:
kupik [55]2 years ago
7 0
The graph of the left-side expression does not intersect the x-axis, so there are no real solutions.

"two complex (non-real) solutions"

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What is the percent of decrease from 200 to 110? A. 45% B. 55% C. 82% D. 90%
strojnjashka [21]
A) 45%, (100-200)/200=0.45 which also equals 45% :) 
8 0
3 years ago
Factor the expression. Use the fundamental identities to simplify, if necessary.
Rasek [7]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

sin²x + 7cosx + 17

=1 - cos²x + 7cosx + 17

= - cos²x + 7cosx + 18 ← factor out - 1 from each term

= - (cos²x - 7cosx - 18)

Consider the factors of the constant term (- 18) which sum to give the coefficient of the cosx term (- 7)

The factors are - 9 and + 2, thus

= - (cosx - 9)(cosx + 2) ← in factored form

3 0
2 years ago
Determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of cent
Iteru [2.4K]

Answer:

It seems the question is incomplete as the two data sets implied from the question are not visible.

However, two data sets having identical measures of center have a difference.

Step-by-step explanation:

Let's consider these two data sets:

2, 2, 3, 5, 6, 6 and 1, 1, 1, 1, 1, 19

Both were contrived.

The most reliable among the measures of center is the mean. The mean of each is calculated by summing the data and dividing by the number of elements. In both sets, the mean is 4.

The data in the first set seem to be concentrated around the mean indeed. But for the second data set, one of them, 19, is obviously very far from the others and the mean. We need another measure to describe this: standard deviation.

Its formula is:

\rho=\sqrt{\dfrac{\sum (x-\overline{x})^2}{n}}

x represents each data, \overline{x} is the mean and n is the number of items. x-\overline{x} is the deviation from the mean of each data item.

For the first data set, \rho=\sqrt{6}=2.45

For the second data set,

\rho=\sqrt{45}=6.71

The low value of \rho for the first set indicates that the items are all closer to the mean than for the second set.

Variance is the square of the standard deviation. It could also be used.

7 0
2 years ago
1. The triangles above are similar. What is the ratio (larger to smaller) of the perimeters? (1 point)
eimsori [14]

Answer:

Ratio = 5/3

The ratio (larger to smaller) of the perimeters is 5/3

Step-by-step explanation:

Attached is an image of the two triangles.

Since both triangles are similar, the ratio of their perimeter is equal to the ratio of each similar sides.

Ratio = P1/P2 = S1/S2

Similar side for triangle 1 S1 = 15ft

Similar side for triangle 2 S2 = 9ft

Substituting the values;

Ratio = 15ft/9ft = 5/3

Ratio = 5/3

The ratio (larger to smaller) of the perimeters is 5/3

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3 years ago
How far from zero would you move on the x-axis to reach the point (10, 8)?
Vsevolod [243]

Answer:

You would move 10 units to the right from zero on the x-axis.

6 0
3 years ago
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