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3 years ago

What is the vertex of f(x)=(x-8)(x-2)

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

5 0

Hello!

To find the vertex of f(x), we can simplify this function into standard form.

f(x) = (x - 8)(x - 2)

f(x) = x² + -10x + 16

With the equation in standard form, we use the formula: x = -b/2a. Then, we substitute the value of x into the equation to solve for the y-value.

x = -(-10) / 2(1)

x = 10 / 2

x = 5

Then, we substitute x = 5 into the original equation.

f(x) = (5 - 8)(5 - 2)

f(x) = -3(3)

f(x) = -9

Therefore, the vertex of f(x) is (5, -9).

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5.607 is what percent of 89 step by step

MrMuchimi

Answer:

6.3%

Step-by-step explanation:

so 5.607 = x% * 89

to find the percent u need to divide : 5.607/89 which is : 0.063

to convert 0.063 to a percent multiply 0.063 by 100 = 6.3%

check :

6.3% *89 = 5.607

4 0

2 years ago

What is the answer to 140% of 50

grigory [225]

Answer:

Step-by-step explanation:

is/of = %/100

Change your is to x so you solve for it, so x/50 = 140/100, now cross multiply and it is now 100x = 7000, divide by 100, so x or (is) is 70

3 0

3 years ago

Simplify the radical expression. √45 + √20 - √5

viva [34]

√45 = √9√5 = 3√5
√20 = √4√5 = 2√5

3√5+2√5-√5=4√5

answer = 4√5
:)

5 0

3 years ago

Occasionally an airline will lose a bag. Suppose a small airline has found it can reasonably model the number of bags lost each

julia-pushkina [17]

Answer:

a) The probability that the airline will lose no bags next monday is 0.1108

b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227

c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2

Step-by-step explanation:

The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula

$P(X=k) = \frac{e^{-2.2} * {2.2}^k }{k!}$

$P(X=0) = \frac{e^{-2.2} * {2.2}^0 }{0!} = 0.1108$

The probability that the airline will lose no bags next monday is 0.1108.

b) Note that $P(X \in \{0,1,2\} = P(X=0) + P(X=1) + P(X=2)$ . And

$P(X=0)+P(X=1)+P(X=2) = e^{-2.2} * (1 + 2.2 + 2.2^2/2) = 0.6227$

Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.

c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.

6 0

2 years ago

What is 2/5 divided by 9

Paraphin [41]

2/45 or 0.0444....
Hope this helped

3 0

3 years ago