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8_murik_8 [283]
3 years ago
7

For problems 29 - 31 the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c

= 0 is positive, negative, or zero.

Mathematics
1 answer:
Elan Coil [88]3 years ago
3 0

Answer:

29) discriminant  is positive

30) discriminant  is 0

31) discriminant  is negative

Step-by-step explanation:

the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.

In the graph of question number 29 we can see that the graph intersects the x axis at two points

so the equation has 2 solutions.

When the equation has two solution then the discriminant is positive

In the graph of question number 30 we can see that the graph intersects the x axis at only one point

so the equation has only  1 solution.

When the equation has only one solution then the discriminant is equal to 0

In the graph of question number 30 we can see that the graph does not intersects the x axis  

so the equation has 2 imaginary solutions.

When the equation has two imaginary solutions then the discriminant is negative

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Which function can be used to find the number of cells of bacteria in the population at time t
Nonamiya [84]

Answer:

db / dt = kb  

this becomes b(t) = Ce^(kt)  

C = 100, the initial population  

P(1) = 420 = 100 e^(1k)  

4.2 = e^k  

ln 4.2 = k  

a) thus, b(t) = 100 e^(t ln 4.2)  

b) b(3) = 100 e^(3 ln 4.2)  

c) growth constant will still be ln 4.2 (constant percentage of populatioin)  

d) 10000 = 100 e^(t ln 4.2)  

100 = e^(t ln 4.2)  

ln 100 = t ln 4.2  

t = ln 100 / ln 4.2

Step-by-step explanation:

6 0
3 years ago
At a high school the average grade for the first semester for all subjects was 79.3. Based on this mean , the principal conclude
svet-max [94.6K]

Answer:

That is incorrect. It would be appropriate if the median were 79.3, since the median is the value in the middle (when placing the data in order).

4 0
3 years ago
Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6
FinnZ [79.3K]

Answer:

y = - \frac{1}{16}(x - 1)² + 2

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

\sqrt{(x-1)^2+(y+2)^2^} = | y - 6 |

Square both sides

(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )

(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )

(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )

(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )

16y = - (x - 1)² + 32 ( divide all terms by 16 )

y = - \frac{1}{16} (x - 1)² + 2

8 0
3 years ago
In a class full of men and women, 5/9 of the class are women. What is the ratio of men to women in its simplest form?
andrew-mc [135]

Answer:

4/5

Step-by-step explanation:

5x are women

9x are full class

9x - 5x = 4x

4x are men

\frac{4x}{5x} = \frac{4}{5} is the ratio of men to women in its simplest form

Hope this helps ^-^

3 0
3 years ago
2. In the figure, what is m ZC? (1 point)<br> 15°<br> 35°<br> 50°<br> 65°
Doss [256]

Answer:

35°

Step-by-step explanation:

By the property of intersecting secants outside of a circle.

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3 0
3 years ago
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