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4 years ago

14

Which is the inverse of the function f(x)=1/3 x+5?

1 answer:

andreev551 [17]4 years ago

8 0

Replace the f(x) with y and proceed to make x the subject:
y=1/3x+5
y-5=1/3x
We need to ÷1/3 on both sides, so ×3 on both sides
3(y-5)=x
3y-15=x
Now swap y with x and replace the isolated x with f(x) so the inverse function is:
${f}^{ - 1}(x) = 3x - 15$

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MaRussiya [10]

Answer:

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3 years ago

Sandra normally takes 2 hours to drive from her house to her grandparents' house driving her usual speed. However, on one partic

Rudiy27

Answer:

Her usual driving speed is 38 miles per hour.

Step-by-step explanation:

We know that:

$s = \frac{d}{t}$

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.

We have that:

At speed s, she takes two hours to drive. So

$s = \frac{d}{2}$

$d = 2s$

However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.

228 minutes is 3.8 hours. So

$0.4s + 0.6(s - 30) = \frac{d}{3.8}$

So

$3.8(0.4s + 0.6s - 18) = d$

$3.8s - 68.4 = 2s$

$1.8s = 68.4$

$s = 38$

Her usual driving speed is 38 miles per hour.

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3 years ago

The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.

Hatshy [7]

Answer:

0.0158 = 1.58% probability that all of them are under 18.

Step-by-step explanation:

Probability of independent events:

If three events, A, B and C are independent, the probability of all happening is the multiplication of the probabilities of each happening, that is:

$P(A \cap B \cap C) = P(A)P(B)P(C)$

The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.

This means that $P(A) = 0.235, P(B) = 0.258, P(C) = 0.26$

If one person is selected from each city, what is the probability that all of them are under 18?

Since the three people are independent:

$P(A \cap B \cap C) = 0.235*0.258*0.26 = 0.0158$

0.0158 = 1.58% probability that all of them are under 18.

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3 years ago

Directions:Use the product rule to simplify the following monomials.

abruzzese [7]

7) Answer = $-24x^8y^{11}$

$\left(8x^4y^2\right)\left(-3x^4y^9\right)$

$=-8x^4y^2\cdot \:3x^4y^9$

$=-24x^4y^2x^4y^9$

$=-24x^8y^2y^9$

$=-24x^8y^{11}$

8) Answer = $-30y^6$

$2y\left(-5\right)y^2\cdot \:3y^3$

$=-30yy^2y^3$

$=-30y^{1+2+3}$

$=-30y^6$

9) Answer = $-6x^4y^5$

$\left(-2xy\right)\left(xy\right)\left(3x^2y^3\right)$

$=-2xyxy\cdot \:3x^2y^3$

$=-6xyxyx^2y^3$

$=-6x^4yyy^3$

$=-6x^4y^5$

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3 years ago

अभ्यास 7<br>खण्डीकरण गर्नुहोस् :<br>1.y+y2 +1

FromTheMoon [43]

Answer:

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3 years ago