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Gennadij [26K]
3 years ago
8

Which of the following graphs represents a function

Mathematics
1 answer:
Nata [24]3 years ago
7 0
Where are the graphs? a function is when every input is paired with exactly one output(every x value must have exactly 1 y value). the vertical line test helps determine a function, a vertical line can’t intersect a graph at more then one point, if it does intersect in more then 1 point then it’s not a function
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F(x)=(5x+1)(4x−8)(x+6)f, left parenthesis, x, right parenthesis, equals, left parenthesis, 5, x, plus, 1, right parenthesis, lef
andrey2020 [161]

Answer:

x=-\frac{1}{5}  \:or \: x=2 \:or\: x=-6

Step-by-step explanation:

Given f(x)=(5x+1)(4x-8)(x+6)

The zeros of the polynomial function are the point where the function f(x) equals zero.

f(x)=(5x+1)(4x-8)(x+6)=0

If abc=0, then a=0 or b=0 or c=0

Therefore:

(5x+1)(4x-8)(x+6)=0 \:means\\5x+1=0 \:or \: 4x-8=0 \:or\: x+6=0\\5x=-1 \:or \: 4x=8 \:or\: x=-6\\x=-\frac{1}{5}  \:or \: x=2 \:or\: x=-6

6 0
3 years ago
If a line passes through (2, 4) and (5,-4), what is the slope?​
Mila [183]

Answer:

So the slope is -8/3

Step-by-step explanation:

to find the slope you have to use m = y2-y1/x2-x1

so lets plug in our numbers

m = - 4- 4/5-2

 = -8/3

So the slope is -8/3

6 0
2 years ago
Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.)State the random variab
WITCHER [35]

Answer:

a) X=number of heads observed when flipped the coin 3 times

b) the probability distribution is

P(X=x) = 3/4 * (1/[(3-x)!*x!)])

or

P(X)=1/8 for x=0 and x=3 and P(X)=3/8 for x=1 and x=2

Step-by-step explanation:

the random variable will be X=number of heads observed when flipped the coin 3 times . Since the result from each flip is independent of the others , then X has a binomial probability distribution , such that

P(X=x)= n!/[(n-x)!*x!)*p^x * (1-p)^(n-x)

where

n= number of times the coin is flipped = 3

p= probability of getting heads in a flip of the coin = 1/2 (assuming that the coin is fair)

therefore

P(X=x)= 3!/[(3-x)!*x!)*(1/2)^(3-x) * (1/2)^x = 3!/[(3-x)!*x!) * (1/2)³ = 3/4 * (1/[(3-x)!*x!)])

P(X=x)= 3/4 * (1/[(3-x)!*x!)])   , for x=[0,1,2,3]

for x=0 and x=3 → P(X)=3/4 * (1/[3!*0!)]) = 1/8

for x=1 and x=2 → P(X)=3/4 * (1/[2!*1!)]) = 3/8

we can verify that is correct since the sum of all the probabilities from x=0 to x=3 is  1/8 +  3/8+ 3/8+ 1/8 = 1

8 0
2 years ago
Read 2 more answers
In a company 85% of the workers are men if 510 women work for the company how many workers are there in all
tester [92]

Answer:

3400 workers

Step-by-step explanation:

85% of men that means 15% are women

15% = 510

15/100= 510/x

100x510=51000

51000/15 =3400

x=3400

3 0
2 years ago
Which is more, 1 ton or 388 pounds?
Pavlova-9 [17]
1 ton = 2,000 pounds, so 1 ton would of course weigh more than 388 pounds
7 0
3 years ago
Read 2 more answers
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