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3 years ago

Which function describes this graph?

Mathematics

2 answers:

Aleksandr [31]3 years ago

6 0

Answer:

C. y = x2 + 8x + 12

Step-by-step explanation:

To find x intercept/zero, substitute y = 0

0 = x^2 + 8x + 12

x^2 += 8x + 12 = 0

x^2 + 8x + 12 = 0

Solve the quadratic equation

ax^2 + bx + c = 0 using x = -b± $\sqrt{b^2 -4ac$ / 2a
x = -8± $\sqrt{8^2 -4(1)(12)$ / 2(1)

x = -8± $\sqrt{8^2 -4(12)$ / 2(1)

any expression multiplied by 1 remains the same

x= -8± $\sqrt{8^2 - 4(12)$ / 2(1)

Evaluate the power

8^2

write the exponentiation as a multiplication

8(8)

multiply the numbers

x = -8± $\sqrt{64 - 4(12)$ / 2(1)

multiply the numbers

x = -8± $\sqrt{64 - 48$ / 2(1)

any expression multiplied by q remains the same

x = -8± $\sqrt{64-48$ /2

subtract the numbers

x = -8± $\sqrt{16$ / 2

calculate the square root

x= -8± 4 / 2

x= -8 + 4 / 2

x= -8 - 4 / 2

simplify the expression

x = -2

x = -8 - 4 / 2

x = -2

x = -6

final solutions are

x1 = -6, x 2 = -2

solmaris [256]3 years ago

6 0

Answer:

y=x^2+8x+12

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Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable , whose possible values

Naddika [18.5K]

For a probability distribution to be represented, it is needed that P(X = 0) + P(X = 1) = 0.44. Hence one possible example is:

P(X = 0) = 0.40.

P(X = 1) = 0.04.

<h3>What is needed for a discrete random variable to represent a probability distribution?</h3>

The sum of all the probabilities must be of 1, hence:

P(X = 0) + P(X = 1) + P(X = 3) + P(X = 4) + P(X = 5) = 1.

Then, considering the table:

P(X = 0) + P(X = 1) + 0.15 + 0.17 + 0.24 = 1

P(X = 0) + P(X = 1) + 0.56 = 1

P(X = 0) + P(X = 1) = 0.44.

Hence one possible example is:

P(X = 0) = 0.40.

P(X = 1) = 0.04.

More can be learned about probability distributions at brainly.com/question/24802582

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1 year ago

Line parallel to y-1=4(x+3) and passes through (4,32)

Lady_Fox [76]

Answer:

y - 32 = 4(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 1 = 4(x + 3) ← is in point- slope form

with slope m = 4

Parallel lines have equal slopes.

Using m = 4 and (a, b) = (4, 32), then

y - 32 = 4(x - 4) ← equation of parallel line

6 0

3 years ago

Can u help me with my workk

eimsori [14]

You knew where to place the target based on the coordinates (-5,4). Starting from the origin (0,0), we know how many units to move to horizontally and vertically. We move the target 5 units to the left, because it is negative. We move the target 4 units up, because it is positive. (x,y)

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2 years ago

An average person in the United States throws away 4.5 × 10² grams of trash per day. In 2013, there were about 3.2×106 people in

enyata [817]

Answer:

Since there are 4.5*10^2 grams of trash per day per person, we multiply that by 3.2*10^6 for everyone in the US and then multiply that by 365 to get how much in a year, which is 525600000000 or 5.256*10^11 (I think it's 11)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elem

masya89 [10]

Answer:

40951

Step-by-step explanation:

Using the principles of inclusion - Exclusion

Where C(n,r)=n!/(n-r)!r!

Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000

Total Number of elements in each pair including number repetition of sets is given as

=(1000) × C(5, 2) =10000

Number of elements in each triple of sets is given as

=(100) × C(5, 3) =1000

Number of elements in every four sets

=(10) × C(5, 4)=50

Number of elements in every one set

(1) × C(5, 5)=1

Therefore total number of unique elements=50000-10000+1000-50+1

=40951

5 0

3 years ago