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tigry1 [53]
3 years ago
7

Factor completely m^2 - 5m - 14 show your work

Mathematics
2 answers:
oee [108]3 years ago
7 0

Answer:

The fully factored form is (m - 7)(m + 2)

Step-by-step explanation:

In order to factor the equation (or any quadratic equation with a first coefficient of 1), you need to look for factors of the last number (-14) that add up to the middle number (-5). So, start by listing the factors of -14.

1, -14

-1, 14

2, -7

-2, 7

The two numbers that add up to -5 are 2 and -7. We now use these in parenthesis with the variable.

(m - 7)(m + 2)

BigorU [14]3 years ago
5 0

Answer:

Factor m^2-5m-14

(m-7) (m+2)



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Answer:

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The translations is 3 units to the left and 5 units down

Step-by-step explanation:

we have

h\left(x\right)=\left|x+3\right|-5

The vertex of the function h(x) is the point (-3,-5)

we know that the parent function f(x) is equal to

f\left(x\right)=\left|x\right|

The vertex of the function f(x) is the point (0,0)

so

The rule of the transformation of f(x) to h(x) is equal to

(x,y) -----> (x-3,y-5)

That means ----> The translations is 3 units to the left and 5 units down

4 0
4 years ago
Is m+m+3m equivalent to 3m+2​
Dovator [93]

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Step-by-step explanation:

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5 0
3 years ago
The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out
Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution to solve this question.

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The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

The probability that a certain hockey team will win any given game is 0.3723

So p = 0.3723

12 games in November

So n = 12

What is the probability that the hockey team wins 6 games in November?

This is P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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0.1505 = 15.05% probability that the hockey team wins 6 games in November

4 0
3 years ago
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hoa [83]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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8 0
3 years ago
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