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3 years ago

15

Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression

. (1/4)^x (1/4)^17
a.
0; 1.7
c.
1; 0.7
b.
1; 0.1
d.
0; 1.3

2 answers:

Roman55 [17]3 years ago

5 0

Answer:

Its b

Step-by-step explanation:

Just did the practice

Ber [7]3 years ago

4 0

Answer:

b

Step-by-step explanation:

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The table shows the outputs y for different inputs x:

Rasek [7]

Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.

Part B: All we have to do is plug in 11 for x in the function given to find the answer:
$f(x)=5x-21\\f(x)=5(11)-21\\f(x)=55-21\\f(x)=34$
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.

Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
$f(x) = 5x-21\\99=5x-21\\99+21=5x-21+21\\120=5x\\120/5=5x/5\\24=x$

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4 years ago

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Maria buys a one liter soda bottle She accidentally drops the soda bottle and spills 437 millimeters of soda How many soda is le

lord [1]

There is 563 milliliters left

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8 0

3 years ago

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The weights (in pounds) of 18 preschool children are

ivanzaharov [21]

Answer:

22.8 and 37.5

Step-by-step explanation:

Given the

The weights (in pounds) of 18 preschool children are

32, 20, 25, 27, 31, 22, 30, 23, 44, 37, 33, 45, 41, 24, 34, 21, 39, 29

To find its 20th percentile and 75th percentile.

In ascending order we get like this

Position X (Asc. Order)

1 20

2 21

3 22

4 23

5 24

6 25

7 27

8 29

9 30

10 31

11 32

12 33

13 34

14 37

15 39

16 41

17 44

18 45

Percentile position = (no of entries +1)20/100 = 19/5 = 3.8

Since posiiton is not integer we use interpolation method.

The value of 3.8 - 3 = 0.8 corresponds to the proportion of the distance between 22 and 23 where the percentile we are looking for is located at.

Hence 20th percentile = $22+0.8(23-22)=22.8$

So answer is 22.8

----------------------

75th percentile

Percentile posiiton = 19(75)/100 = 14.25

75th percentile= $37+0.25(39-37)=37.5$

6 0

3 years ago

A mountain railway AB is of length 864m and rises at an angle of 120° to the horizontal.

Ainat [17]

Answer:

The height above sea level at <em>B</em> is approximately 1,604.25 m

Step-by-step explanation:

The given length of the mountain railway, AB = 864 m

The angle at which the railway rises to the horizontal, θ = 120°

The elevation of the train above sea level at <em>A</em>, h₁ = 856 m

The height above sea level of the train when it reaches <em>B</em>, h₂, is found as follows;

Change in height across the railway, Δh = AB × sin(θ)

∴ Δh = 864 m × sin(120°) ≈ 748.25 m

Δh = h₂ - h₁

h₂ = Δh + h₁

∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m

The height above sea level of the train when it reaches <em>B</em> ≈ 1,604.25 m

4 0

3 years ago

Janet can get 36-pack of bottled water for $9.60. How much would Janet have to pay for a 12-pack of bottled water if the ratios

Olenka [21]

Janet would have to pay $3.20.

3 0

3 years ago