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Juliette [100K]
2 years ago
5

Re-write the quadratic function below in Standard Form y = 3(x - 5)(x - 2)

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
5 0

Answer:

3x² - 21x + 30

Step-by-step explanation:

y = 3(x - 5)(x - 2) ← expand factors using FOIL

  = 3(x² - 7x + 10) ← distribute parenthesis by 3

y = 3x² - 21x + 30 ← in standard form

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Use greatest common factor and distributive property to write equivalent expressions 5x+20y
leonid [27]

Answer:

I think it is 5 if I did it right

S

4 0
2 years ago
Mrs. Zabel, the yearbook adviser, always likes to sell a large amount of yearbooks because after the initial set-up costs are pa
mart [117]
(50,45)(125,37.50)
slope(m) = (37.50 - 45) / (125 - 50) = -7.5/75 = -0.1

y = mx + b
slope(m) = -0.1
(50,45)...x = 50 and y = 45
now we sub and find b, the y int
45 = -0.1(50) + b
45 = - 5 + b
45 + 5 = b
50 = b

so ur equation is : y = -0.1x + 50

so it the staff sells 150 yearbooks...
y = -0.1x + 50
y = -0.1(150) + 50
y = -15 + 50
y =  35 <== price per yearbook
5 0
3 years ago
2.24 Exit poll: Edison Research gathered exit poll results from several sources for the Wisconsin recall election of Scott Walke
iVinArrow [24]

Answer:

0.4929 = 49.29% probability that he voted in favor of Scott Walker

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Having a college degree.

Event B: Voting for Scott Walker.

They found that 57% of the respondents voted in favor of Scott Walker.

This means that P(B) = 0.57

Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree

This means that P(A|B) = 0.33

Probability of having a college degree.

33% of those who voted for Scott Walker(57%).

45% of those who voted against Scott Walker(100 - 57 = 43%). So

P(A) = 0.33*0.57 + 0.45*0.43 = 0.3816

What is the probability that he voted in favor of Scott Walker?

P(B|A) = \frac{0.57*0.33}{0.3816} = 0.4929

0.4929 = 49.29% probability that he voted in favor of Scott Walker

3 0
3 years ago
Write the equation for a line that passes through the points (5,5) and (7,-5)
julia-pushkina [17]
This equation would be equal to y = -5x + 30
3 0
2 years ago
Read 2 more answers
There are 3 times as many males as females on the maths course at university. What fraction of the course are male?
PIT_PIT [208]

Answer:

3/4

Step-by-step explanation:

let x = females

3x = males

3x + x = 4x

fraction of males = 3x / 4x = 3/4

4 0
2 years ago
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