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2 years ago

Identify the relative maximum value of g(x) for the function shown below g(x)=7/x^2+5

2 answers:

8 0

To find the relative maximum value of the function we need to find where the function has its first derivative equal to 0.

Its first derivative is -7*(2x)/(x^2+5)^2
7*(2x)/(x^2+5)^2 =0 the numerator needs to be eqaul to 0
2x=0
x=0

g(0) = 7/5

The relative maximum value is at the point (0, 7/5).

Dahasolnce [82]2 years ago

8 0

On April ex the answer is 7/5

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A class in advanced physics is composed of 10 juniors, 30 seniors, and 10 graduate students. the final grades show that 3 of the

const2013 [10]

Solution: We are given:

Total students = 10 + 30 + 10 =50

Number of students who received A grade = 3 + 10 + 5 = 18

Number of senior student's who received A grade is = 10

Let A be the event that the student is senior and B be the event that he or she earned an A. Then,

$P(A \cap B)=\frac{10}{50}$

$P(B) = \frac{18}{50}$

Now the probability a student chosen at random from this class and is found to have earned an A, the probability that he or she is a senior is:

$P(A|B) = \frac{P(A \cap B}{P(B)}$

$=\frac{\frac{10}{50} }{\frac{18}{50} }$

$=\frac{10}{18}=\frac{5}{9} =0.556$

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2 years ago

Decide whether the following situation is looking for the percent, the part, or the whole:The 14 compact cars sold by a dealer o

borishaifa [10]

Answer:

whole

Step-by-step explanation:

No question is posed.

If we assume we're interested in the number of cars sold on Monday, we have ...

part = percent × whole

14 = 56% × whole

It would seem that we're looking for the whole.

14/.56 = 25 cars were sold on Monday.

6 0

2 years ago

9x-2y=11 5x-2y=15 what is the solution to the above system of equations ASAP

natali 33 [55]

9x - 2y = 11 ... (i)

5x - 2y = 15 ... (ii)

Subtracting equation (ii) from (i) we get;

4x + 0 = -4

4x=-4 , x = -1

Replacing x = -1 in equation (i) we get;

9(-1) - 2y = 11

-9 - 2y = 11

-2y = 20

y = 20 ÷ -2 = -10

The solution to the system of equations is (-1,-10).

8 0

2 years ago

Read 2 more answers

Which is an x-intercept of the continuous function in the table?

Ad libitum [116K]

Answer:

B. (3, 0)

Step-by-step explanation:

The x-intercept is the point where the graph of the function meets the x-axis.

At x-intercept, y=0 or f(x)=0

So look through the table and find where f(x)=0.

From the table, f(x)=0 at x=3.

We write this as an ordered pair.

Therefore the x-intercept is (3,0)

The correct choice is B.

7 0

2 years ago

Read 2 more answers

The label on the car's antifreeze container claims to protect the car between −40°C and 140°C. To covert Celsius temperature to

sergejj [24]

Answer:

-40 < t < 284

Step-by-step explanation:

The antifreeze protects the car between −40°C and 140°C.

Using t for temperature, the compound inequality of the Celsius temperature range is:

-40 < t < 140

The conversion formula is given to find degrees C in given degrees F. We can solve the formula for F, so we get degrees F in terms of degrees C.

C = (5/9)(F - 32) <------ conversion formula from deg F to deg C

Solve for F:

(9/5)C = F - 32

(9/5)C + 32 = F

F = (9/5)C + 32 <------ conversion formula from deg C to deg F

Now we convert -40 deg C to deg F using the formula we just derived.

F = (9/5)C + 32

F = (9/5)(-40) + 32

F = -72 + 32

F = -40

-40 deg C = -40 deg F

(This is not a mistake or a typo. -40 deg C really is the same as -40 deg F.)

Now we convert 140 deg C to deg F using the formula we just derived.

F = (9/5)C + 32

F = (9/5)(140) + 32

F = 252 + 32

F = 284

140 deg C = 284 deg F

Now we rewrite the compound inequality with Fahrenheit temperatures.

-40 < t < 284

4 0

2 years ago