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Svetlanka [38]
3 years ago
12

a school has 5 spanish teachers and 4 french teachers.the schools principal randomly chooses of the teachers to attend a confere

nce what is the probability that the principal chooses 2 spanish teachers
Mathematics
2 answers:
pav-90 [236]3 years ago
8 0
I believe that woud be 2/9
pochemuha3 years ago
8 0
I believe as well 2/9
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Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
PLEASE HELP! THIS IS FOR A UNIT!
AlexFokin [52]

Answer:

n_{1} =-3+2i\\\\n_{2} =-3-2i

Step-by-step explanation:

You can see the attached picture

7 0
3 years ago
Suppose you deposit ​$2,000 in a savings account that pays interest at an annual rate of ​%5. If no money is added or withdrawn
Inessa [10]

Answer:

For the answer, go to:

brainly.com/question/3965798

7 0
2 years ago
In a circle with a 8 in radius, how long, in inches, is an arc associated with 2.6 radians.
Bingel [31]
S = r·α is the formula to find the arc length (s), given the radius (r), and angle measure (α) in radians.
If the angle measure is NOT given in radians you must convert to radians.

s = 8 · 2.6
s = 20.8 in
7 0
3 years ago
A newborn baby weighs 2900 grams. How many pounds does this baby weigh? Also how many pounds, how many ounces
Anestetic [448]

Answer:

6.39 pounds, 102.29 ounces.

Step-by-step explanation:

6 0
2 years ago
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