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2 years ago

If f(x)=2x^2+5√(x-2), complete the following statement: f(3) = _____

1 answer:

dsp732 years ago

5 0

Given:
$f(x) = 2x^{2} +5 \sqrt{x-2}$

Asked:
f(3)

Solution:
Subtitute x with 3 in the function
$f(x) = 2x^{2} +5 \sqrt{x-2}$
$f(3) = 2(3)^{2} +5 \sqrt{3-2}$

Then simplify to find the value of f(3)
$f(x) = 2(9) +5 \sqrt{1}$
$f(x) = 18 +5$
$f(x) = 23$

The final answer is 23

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A grocery store sells a bag of 5 lemons for 2$. watnis the unit cost of each lemon in the bag

Ostrovityanka [42]

Answer:

$0.4

Step-by-step explanation:

Unit cost = cost / number of items

Unit cost = 2/5

2 divided by 5

3 0

2 years ago

At a certain high school, 15 students play stringed instruments and

Aleks [24]

Answer:

0 is the probability that a randomly selected student plays both a stringed and a brass instrument.

Step-by-step explanation:

Given that:

Number of students who play stringed instruments, N(A) = 15

Number of students who play brass instruments, N(B) = 20

Number of students who play neither, N( $A \cup B$ )' = 5

To find:

The probability that a randomly selected students plays both = ?

Solution:

Total Number of students = N(A)+N(B)+N( $A \cup B$ )' =15 + 20 + 5 = 40

(As there is no student common in both the instruments we can simply add the three values to find the total number of students)

As per the venn diagram, no student plays both the instruments i.e.

$N(A\cap B) =0$

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(A\cap B) = \dfrac{N(A\cap B)}{N(U)}\\\Rightarrow \dfrac{0}{40}\\\Rightarrow P(A\cap B) = 0$

So, 0 is the probability that a randomly selected student plays both a stringed and a brass instrument.

5 0

2 years ago

How many minutes of news would the disc jockey have to play for every 60minutes of music

faust18 [17]

The same with this question you divide 60 by 6 and you get 5

3 0

2 years ago

Write the number eleven and six hundred fifty-one thousandths in standard form.

sweet-ann [11.9K]

The standard form of thr number is 11.651

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2 years ago

What is the domain? What is the range?

almond37 [142]

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

The range is the difference between the largest and smallest numbers. The mid range is the average of the largest and smallest number.

Hope this helps!

8 0

2 years ago