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Marysya12 [62]
4 years ago
7

For the graphed function f(x) = 4^(x − 1) + 2, calculate the average rate of change from x = 1 to x = 2.

Mathematics
1 answer:
Elden [556K]4 years ago
8 0
f(x) = 4^(x − 1) + 2
f (1)=3 f (2)=6
avarage rate=[ f (1) - f (2)]/(2-1)
=(6-3)/1
=3//
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siniylev [52]

Answer:

12 students

Step-by-step explanation:

Because the total is 4 sticks, and each student needs 1/3 of a stick, we would have to see how many 1/3 sticks fit into 4 sticks. Because 3 of the 1/3 sticks fit into 1 stick, then 4 sticks would be 4*3=12 of the 1/3 sticks, which means 12 students can do it.

We could also just do: 4/(1/3)= 4*(3/1)=12

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2 years ago
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Can You Please Help Me ​
Illusion [34]

Answer:

A:   YES

B:   NO

C:   YES

Step-by-step explanation:

uhm, if you really need an explanation, here it goes

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8 0
3 years ago
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I need desperate help PLEASE!!!
koban [17]

Answer:

OPTION B

OPTION D

Step-by-step explanation:

An element in the domain should be mapped to exactly one element on the co-domain. Also, every element in the domain should be mapped to an element in the co-domain.

These two conditions are satisfied to call a relation, a function.

Two different elements in the domain can be mapped to the same element in the co-domain. But the same element in the domain cannot be mapped to two different elements in the co-domain.

A) {(3,7), (3,6), (5,4), (4,7)}

Here, the element '3' in the domain is mapped to two elements 7 and 6. So, it is not a function.

B) {(1,5), (3,5), (4, 6), (6,4)}

This is a function because all the elements in the domain have a unique image in the co-domain. So, this is a function.

C) {(2,3), (4,2), (4,6), (6,4)}

Here, the element '4' in the domain is again mapped to two different elements. Hence, it cannot be a function.

D) {(0,4), (3,2), (4,2), (6,5)}

This is again a function. Because the domain is mapped to unique elements. So, this is a function.

4 0
3 years ago
Which function matches g? Two hook shaped graphs, f and g, on a coordinate plane. The graph of f has three line segments: negati
avanturin [10]

Answer:

Option (2).

Step-by-step explanation:

Coordinates of points A(-2, 2), B(-1, -1), C(-1, 4) and (0, -2)

By using formula to get the length of any segment having extreme ends at (x_1,y_1) and (x_2,y_2),

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Length of segment AB = \sqrt{(-2+1)^2+(2+1)^2}

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Length of segment CD = \sqrt{(0+1)^2+(-2-4)^2}

                                      = \sqrt{37} ≈ 6.08

Length of CD ≈ 2(length of AB)

But length of horizontal segments are equal.

Therefore, function 'f' is vertically stretched to form 'g'.

g(x) = 2f(x)

Now 'f' is translated by 1 unit right,

g(x) = 2f(x - 1)  

Option (2) will be the answer.

8 0
3 years ago
P = $660, R = 9%, T = 2 years
laiz [17]

Answer:

$ 118.80

Step-by-step explanation:

First, converting R percent to r a decimal

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then, solving our equation

I = 660 × 0.09 × 2 = 118.8

I = $ 118.80

The simple interest accumulated

on a principal of $ 660.00

at a rate of 9% per year

for 2 years is $ 118.80.

3 0
3 years ago
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