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3 years ago

For what value of x do the functions f(x)=−52x+4 and g(x)=−12x−4 have the same output?

2 answers:

7 0

F(x) = -52x + 4

g(x) = -12x - 4

To find the solution of the system of equation, we have to just equate the equation to each other.

f(x) = g(x)

-52x + 4 = -12x - 4

-52x + 12x = - 4 - 4

-40x = -8

x = $\frac{-8}{-40} = \frac{8}{40} =\frac{1}{5}$

x = 0.2

pshichka [43]3 years ago

6 0

Answer:

-52x+4

Step-by-step explanation:

I took the test .

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The probability that a certain football team wins a match is 2/3.Given that the team plays 4 matches, find the probability that

Vlad [161]

Answer:

The probability is 32/81

Step-by-step explanation:

We know that:

The probability that the team wins is p = 2/3

Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3

The team plays 4 matches.

We want to find the probability that the team wins 1 more than half of the number of matches played.

So if there are 4 matches, the half is 2 matches

one more than half is then 3 matches.

Let's assume that the team wins the first 3 matches, and does not win the last match.

match one, the team wins with prob: P₁ = 2/3

match two, the team wins with prob: P₂ = 2/3

match three, the team wins with prob: P₃ = 2/3

match four, the team wins with prob: P₄ = 1/3

The joint probability is the product of all the individual probabilities:

P = (2/3)*(2/3)*(2/3)*(1/3)

Now we must also considerate the permutations, we have the cases:

the team does not win the fourth match

the team does not win the third match

the team does not win the second match

the team does not win the first match

So we have just four permutations, then the total probability is:

probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)

8 0

2 years ago

2t-7-5t=11 what is the answer

Verizon [17]

2t-7-5t=11

Start by combing like terms:

2-5t=-3t

Now we have:

-3t-7=11

Add 7 to both sides

-3t=18

To isolate t we divide both sides by -3

Final answer:
t=-6

3 0

3 years ago

A factory makes 1200 shirts every 6 hours.the factory makes shirts for 9 hours a workday. what is the fewest number of workdays

Dominik [7]

1. Divide the target number of shirts, 12,600 by the company's rate of making the shirts. That is,
number of hours = 12,600 shirts/ (1200 shirts/6 hours)
= 63 hours
2. Determine the number of workdays for them to complete the shirts by dividing 63 hours by 9 hours/workday. This will give us an answer of 7 workdays.

8 0

3 years ago

The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean

Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

Step-by-step explanation:

(a)The mean:

$\mu = \frac{385 + 370}{2} = 377.5 ml$