Please anybody help me out

Algebra II<br>Which is the correct statement?

Nataly_w [17]

B. g(x) is translated 2 units left. it's inside so it's a horizontal translation, and it's +2 which means it's translated left

6 0

2 years ago

Lunch at school consists of a sandwich, a vegetable, and a fruit. Each lunch combination is equally likely to be given to a stud

daser333 [38]

Answer:

a) see attachment

b) Pr(chicken sandwich, carrots, and a banana) = 1/12

c) The probability that Sol gets at least one of his favorite = 5/6

Step-by-step explanation:

a) A tree diagram is used to represent sample space.

We are told the lunch choices are sandwich, a vegetable and a fruit and each lunch combination are possible.

Find attached the tree diagram.

From the tree diagram, there are a total of 12 possible outcomes.

b) Sol's favorite lunch is a chicken sandwich, carrots, and a banana.

The probability that Sol gets his favorite lunch = Pr(chicken sandwich, carrots and a banana)

Pr(chicken sandwich, carrots, and a banana) = 1/12

Reason: From the tree diagram, the likelihood of having all three (chicken sandwich, carrots and a banana) occurs only once.

Pr(chicken sandwich, carrots and a banana) = [number of times(chicken sandwich, carrots and a banana) occurs]/(total number of possible outcomes)

Pr(chicken sandwich, carrots, and a banana) = 1/12

c) For Sol to get at least one of his favorite, we would have at least either chicken, carrot or banana in the possible outcome.

We have 10 of such possible outcome:

Chicken, carrot and apple

Chicken, carrot and banana

Chicken, spinach and apple

Chicken, spinach and banana

Hamburger, carrot and apple

Hamburger, carrot and banana

Hamburger, spinach and banana

Turkey, carrot and apple

Turkey, carrot and banana

Turkey, spinach and banana

The probability that Sol gets at least one of his favorite = (total number of at least one of Sol's favorite lunch)/(total possible outcome)

= 10/12 = 5/6

The probability that Sol gets at least one of his favorite = 5/6

4 0

3 years ago

Write the equatoin of a graph that has Roots of x={-2,0,4} and has a point of (-1,10)

zheka24 [161]

Step-by-step explanation:

to have "roots" means that the function delivers 0 as function result for these values of x.

so,

f(x) = 0 for x = -2, x = 0 and x = 4

we can build this function as a product of factors.

each factor is an expression of x that turns 0 for the given value of x.

what is the simplest expression of x that turns 0, when x = -2 ?

well : x + 2

as you can easily see, this is 0, when x = -2.

and the easiest existing of x that is 0, when x = 0 ?

totally simple : just x.

and then x - 4 for x = 4

so, our function is

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

but : this is one of infinite possibilities.

let's see what happens, if we use the x coordinate (-1) of the given point (-1, 10).

we know, the result must be 10.

-1×(-1 + 2)(-1 - 4) = -1×1×-5 = 5

aha ! so, in order to get 10 instead of just 5 we must multiply the whole thing by 2.

as n×0 is always still 0, this does not change our 0 points (or roots).

so, our full function is :

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

or, if you need the function as a polynomial, we need to do the multiplications :

f(x) = 2x(x² - 4x + 2x - 8) = 2x(x² - 2x - 8) = 2x³ - 4x² - 16x

3 0

2 years ago

A coat and a pair of boots are on sale for 20% off. The regular price of the coat is $225. The regular price of the boots is $13

kondaur [170]

Answer:

Part A = $180

Part B = $104

Step-by-step explanation:

Part A:

You do 255÷5=51

51 x 4 = 180

Part B:

You do 130÷5=26

26 x 4 = 104

7 0

2 years ago

Read 2 more answers

Herman is standing on a ladder that is partly in a hole.He starts out on a rung that is 6 feet under ground ,climbs up 14 feet,t

fomenos

Well lets try using negatives and positives, negatives for underground positives for above. -6 + 14 = 8 then 8 - 11 = -3. When Herman finally stops climbing he is 3 feet below ground level.

5 0

2 years ago

Read 2 more answers