The graph of quadratic function f(x) has a minimum at (-2,- 3 and passes through the point (2, 13). The functio
g(x) is represented by the equation g(x)= -(x+2)(x-3)
How much greater is the y-intercept of g(x) than f(x)?

Answer:

m = 6[tex]\sqrt{3}[/tex] , n = 6

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

m = 6[tex]\sqrt{3}[/tex]

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2n = 12 ( divide both sides by 2 )

n = 6

Answer:

v = 87

Step-by-step explanation:

the angle v+39 lies on a straight line. so substract v+39 from 180 to get the interior angle for that side.

afterwards, knowing that the sum of interior angles of a triangle = 180, form an equation with all the angles and solve for v

Answer:

KitKat

Step-by-step explanationKitKat

Answer:

x= - 3

Step-by-step explanation:

2x - 3= 4x + 3

2x = - 6

x = - 3

Answer:

The third angle is 50°

Step-by-step explanation:

In a triangle, all the angles must add up to 180° such that:

[tex]180= a+b+c[/tex]  where a , b, and c are all angles

Since we know that two of the angles are 57° and 73°, we can subtract them from 180° to find the third angle.

Using the above equation, we can rearrange it to solve for the missing value:

180°= a + b + c

180°=57°+ 73° +c                          Substitute the angles in for any 2 variables

180°- 57°-73°= c                    Rearrange the equation to solve for last variable

50°= c

The third angle is 50°

Answer:

Let E denote the event of choosing a jury with 10 men and 2 women.

The sample space for selecting 12 members from the pool contains 55C12 elements.

The number of ways of selecting 10 men and 2 women is 26C10  29C2.

The probability of event E =  

The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).

Step-by-step explanation:

see the image :

Answer:

The probability of selecting a jury with 10 men and 2 women out of out of 29 men and 26 women  is 0.005 (0.5%)

Step-by-step explanation:

Let P(E) denote the probability of choosing a jury with 10 men and 2 women out of 29 men and 26 women.

The sample space for selecting 12 members from the total no of member will be 55c12

The number of ways of selecting 10 men and 2 women is 26c10  29c2.

The probability of event E =  [tex]$=P(E)=\frac{{ }_{20} C_{10} \times{ }_{20} C_{2}}{-C_{12}}$[/tex]

                                                [tex]$=\frac{5,311,735 \times 406}{438,729,741,450}$[/tex] [tex]$=0.005$.[/tex]

The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).

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Answer:

I am gonna say D for this one

Answer:

A

Step-by-step explanation:

water has yet to be formed. its molecules move around like crazy so it stays a liquid.

Answer:

first box is 24

second is -5

third is -6

Step-by-step explanation:

Answer:

(x - 3)² + (y - 2)² = 16

Step-by-step explanation:

The center of the circle is (3, 2).

The radius of the circle is 4.

(x - 3)² + (y - 2)² = 4²

Answer: (x - 3)² + (y - 2)² = 16

The complete equation of this circle​ with center (3, 2) and radius 4 units is

(x - 3)² + (y - 2)² = 4²

Used the concept of the equation of the circle which stated that,

The standard form of the equation of a circle is,

(x - h)² + (y - k)² = r²

Where, (h, k) is the center of the circle and 'r' is the radius of the circle.

Given that,

The center of the circle is (3, 2).

And, The radius of the circle is 4.

Here, (h, k) = (3, 2)

And, r = 4

Substitute all the values in the standard form of the equation of a circle,

(x - 3)² + (y - 2)² = 4²

Therefore, the equation of a circle,

(x - 3)² + (y - 2)² = 16

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Answer:

25

Step-by-step explanation:

number of teachers that got an equal amount = total loves of bread ÷ fraction the bread is shared

5 ÷ 1/5

5 x 5 = 25

Answer:

x ≥ - 7

Step-by-step explanation:

Given

- 8x ≤ 56

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x ≥ - 7

Step-by-step explanation:

there are 7 decimal places from between 2 and 3 to the very end. so the answer is 7

Answer: 2.36x^10

Step-by-step explanation:

Answer:

[tex]n = \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2n} + 3 = 6[/tex]

[tex] \frac{1}{2n} = 6 - 3[/tex]

[tex] \frac{1}{2n} = 3[/tex]

[tex]1 = 6n[/tex]

[tex]n = \frac{1}{6} [/tex]

Answer:

80 Degrees

Step-by-step explanation:

just flip and overlap the figure (in your mind)

Answer:

[tex]6n + 3 + 2n = 8n + 3[/tex]

[tex]99-9-9 = 81[/tex]

[tex]2p + 3p+ 6-p-3 = 4p + 3[/tex]

[tex]2.25(14.3m + 6 + 2.7m) = 38.25m + 15.5[/tex]

Answer:

20

Step-by-step explanation:

A data is given and the mean of data is 19.6 .The data is ,

12 , 16 , 22 , x , 28 .

We know that the mean is sum of observations divided by Total number of observations . So that ,

⇒ 12 + 16 + 22 + x + 28/ 5 = 19.6

⇒ 78+x/5 = 19.6

⇒ 19.6 × 5 = 78 + x

⇒ 78 + x = 98

⇒ x = 98 - 78

⇒ x = 20

Answer:

Step-by-step explanation:

Find the worth of B and E and add them

Answer:

Area is 124.8999

Answer:

160 ft^3

Step-by-step explanation:

The volume formula is the same as a rectangular prism, lwh

So if we plug in the numbers, it'd be 12*4*10

Which equals 160 :))

Answer:

160

Step-by-step explanation:

v = L * W * H / 3

Answer:

D

Step-by-step explanation:

Remark

First characters:  6 choices

Second two characters: 25 * 26

Third set of 2: 10 * 10 = 100

6 * 25 * 26 * 100 = 390000

Answer:

5.6

Step-by-step explanation:

Given :

Quality rating for 8 movies :

5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, 5.2

Let rating for the 9th movie = x

Average quality rating olfor the 9 movies = 6.4

To find x :

Sum of all ratings / number of ratings = 6.4

(5.6 + 7.9 + 7.0 + 5.9 + 7.8 + 6.2 + 6.4 + 5.2 + x) / 9 = 6.4

(52 + x) / 9 = 6.4

52 + x = 57.6

x = 57.6 - 52

x = 5.6

Answer:

b. 3/2

Step-by-step explanation:

Answer:

i got 15.1

Step-by-step explanation:

Answer:

All of the batches of the new blend of concrete made at their plant in a particular week.

Step-by-step explanation:

The population refers to all the subjects or data which which meets the condition or requirement of a certain experiment or research. This means that all the set of similar items or subjects which is of interest in a certain study is the population. In the scenario above, the population will be the set of all the new blend concrete which are made in the plant within a certain week. Thereafter, if a sample is required it will be drawn from these set of data or observation.

Answer:

positive slope is shown by the graph

Answer:

The home is worth $424,528 today

Step-by-step explanation:

To get the worth of the home today, we are going to use the exponential formula

We have this as follows;

A = P(1 + r)^t

where A is the value of the house after some time t

P is the initial value the home was worth which is $160,000

r is the rate of increase in the price of the home which is 5% = 5/100 = 0.05

t is the number of years which is 20

substituting these values;

A = 160,000(1 + 0.05)^20

A = $424,528