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4 years ago

2. Given f(x)=4^2+6x and g(x)=2x^2+15, fine (f/g)(x)

Mathematics

2 answers:

Pie4 years ago

5 0

Its 3.475 or 27.86557

Pani-rosa [81]4 years ago

5 0

(2x^2) / x + 5

[(4x^2 + 6x) / (2x^2 + 13x + 15)] (x)

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24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .

kykrilka [37]

Answer:

a. Center: (-15, 9), Radius: 5

Step-by-step explanation:

Equation of a circle:

The equation of a circle of center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In this question, we have that:

$(x + 15)^2 + (y - 9)^2 = 25$

Comparing both equations:

$x - x_0 = x + 15$

$x_0 = -15$

And

$y - y_0 = y - 9$

$y_0 = 9$

The center is $(-15,9)$ .

For the radius:

$r^2 = 25$

$r = \sqrt{25} = 5$

The correct answer is given by option a.

8 0

3 years ago

Mr. Jackson's PE class is practicing for a 3-mile relay race. Each member of the team has to run 1/6 of a mile. How many student

EleoNora [17]

Answer:at least 2 1/2

Step-by-step explanation:

4 0

3 years ago

Find the unit rate.kilometer in17hourEnter the correct answer in the box.

Nuetrik [128]

The question asks for the unit rate when 1/4 of a kilometer is covered in 1/3 of an hour.

Recall that rate is the quotient of two quantities. In our case the numerator is the distance (1/4) of a kilometer, and the denominator is the time: 1/3 of an hour.

So, we perform the following division of fractions:

1/4 diided by 1/3 which is the same as: 1/4 times 3/1 = 3/4

and since we are asked for the UNIT rate, we do the actual division:

The unit rate is 0.75 km per hour.

8 0

1 year ago

Which equation represents an exponential function that passes through the point (2, 36)?

sesenic [268]

Answer:

The exponential function that passes through (2,36) is:

$f(x)=4\times 3^x$ .

Step-by-step explanation:

We are asked to find which function passes through the point (2,36).

i.e. we will put the input value '2' in the following given functions and check which gives the output value as '36'.

$f(x)=4\times 3^x$

now we put x=2.

$f(2)=4\times 3^2\\\\f(2)=4\times 9\\\\f(2)=36$

hence option 1 is correct.

$f(x)=4\times x^3$

Now we put x=2.

$f(2)=4\times 2^3\\\\f(2)=4\times 8\\\\f(2)=32$

Hence, option 2 is incorrect.

$f(x)=6\times 3^x$

Now we put x=2

$f(2)=6\times 3^2\\\\f(2)=6\times 9\\\\f(x)=54$

Hence, option 3 is incorrect.

$f(x)=6\times x^3$

Now we put x=2.

$f(2)=6\times 2^3\\\\f(2)=6\times 8\\\\f(2)=48$

Hence, option 4 is incorrect.

Hence, option 1) is correct.

i.e. The exponential function that passes through (2,36) is:

$f(x)=4\times 3^x$

6 0

3 years ago

Read 2 more answers

If Log 4 (x) = 12, then log 2 (x / 4) is equal to <br>A. 11 <br>B. 48 <br>C. -12 <br>D. 22

klio [65]

C I guess sorry if I get you a low score

6 0

3 years ago