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2 years ago

Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as transformations of f(x).

Mathematics

2 answers:

Maurinko [17]2 years ago

7 0

9514 1404 393

Answer:

g(x) = f(x -1)

h(x) = f(x) +4

Step-by-step explanation:

We notice that the output values correspond to the output values of f(x), but the input to f(x) is 1 less than the corresponding input to g(x). For some given value of x, ...

g(x) = f(x -1)

The input values correspond to those for f(x), but the output values are all 4 more than for f(x).

h(x) = f(x) +4

Leto [7]2 years ago

4 0

Answer:

the answer for g is -3 that is all I know

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nlexa [21]

Answer: 5 and 4

Step-by-step explanation: 5+2=7 amount total per person. 65-30 equals amount able to spend on people. 35÷7=5 being the largest amount possible.

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2 years ago

A factory makes 1200 shirts every 6 hours.the factory makes shirts for 9 hours a workday. what is the fewest number of workdays

Dominik [7]

1. Divide the target number of shirts, 12,600 by the company's rate of making the shirts. That is,
number of hours = 12,600 shirts/ (1200 shirts/6 hours)
= 63 hours
2. Determine the number of workdays for them to complete the shirts by dividing 63 hours by 9 hours/workday. This will give us an answer of 7 workdays.

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2 years ago

What are the slope and the y-intercept of the linear function that is represented by the equation y - 9x-27?

kakasveta [241]

Answer:

the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 27? The slope is –2, and the y-intercept is 9.

Step-by-step explanation:

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2 years ago

On a hot day, a fan has a mark on the tip of one blade. The equation y

stellarik [79]

<h3>Answer: 5 cm</h3>

===================================================

Explanation:

Recall that the range for cosine is from -1 to 1, including both endpoints. The smallest cosine value is what we're after, since we want the height to be as small as possible (to allow the blade be closest to the table).

Effectively, this means we replace the cos(x) with -1 so that it's as small as possible. Then we compute to get:

20*cos(x)+25

20*(-1) + 25

-20 + 25

The height of the fan tip is 5 cm when it is the closest to the table.

Side note: On the flip side, the furthest away the fan tip can get is 20*(1) + 25 = 45 cm. Therefore, the range of y values is $5 \le y \le 45$

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2 years ago

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, So

tatyana61 [14]

Answer:

The probability that at least 13 flights arrive late is 2.5196 $\times 10^{-6}$ .

Step-by-step explanation:

We are given that Southwest Air had the best rate with 80 % of its flights arriving on time.

A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.

The above situation can be represented through binomial distribution;

$P(X = x) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.........$

where, n = number of trials (samples) taken = 18 Southwest flights

r = number of success = at least 13 flights arrive late

p = probability of success which in our question is probability that

flights arrive late, i.e. p = 1 - 0.80 = 20%

Let X = <u><em>Number of flights that arrive late</em></u>.

So, X ~ Binom(n = 18, p = 0.20)

Now, the probability that at least 13 flights arrive late is given by = P(X $\geq$ 13)

P(X $\geq$ 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)

= $\binom{18}{13}\times 0.20^{13} \times (1-0.20)^{18-13}+ \binom{18}{14}\times 0.20^{14} \times (1-0.20)^{18-14}+ \binom{18}{15}\times 0.20^{15} \times (1-0.20)^{18-15}+ \binom{18}{16}\times 0.20^{16} \times (1-0.20)^{18-16}+ \binom{18}{17}\times 0.20^{17} \times (1-0.20)^{18-17}+ \binom{18}{18}\times 0.20^{18} \times (1-0.20)^{18-18}$

= $\binom{18}{13}\times 0.20^{13} \times 0.80^{5}+ \binom{18}{14}\times 0.20^{14} \times 0.80^{4}+ \binom{18}{15}\times 0.20^{15} \times 0.80^{3}+ \binom{18}{16}\times 0.20^{16} \times 0.80^{2}+ \binom{18}{17}\times 0.20^{17} \times 0.80^{1}+ \binom{18}{18}\times 0.20^{18} \times 0.80^{0}$

= 2.5196 $\times 10^{-6}$ .

7 0

3 years ago