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Keith_Richards [23]
3 years ago
6

3. The following is raw data in respect to expenses incurred by a family on education from

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0
I don’t really understand what you have said. But I need help on my homework.
You might be interested in
When graphed, which function has a horizontal asymptote at 4?
galben [10]

Answer:

<em>Correct answer: C. f(x) = 2(3)x + 4</em>

<u><em>(please note we changed the expression of the function to exponential form which we believe is the correct form of the question)</em></u>

Step-by-step explanation:

<u>Horizontal Asymptote</u>

The graph of a function is said to have a horizontal asymptote at y=a if one or both the following limits exist

\lim\limits_{x \rightarrow \infty}f(x)=a

\lim\limits_{x \rightarrow -\infty}f(x)=a

The horizontal asymptotes are horizontal lines to which the function tends when x increases or decreases without limits.

Let's analyze each one of the options provided:

A.  f(x) = 2x -4

\lim\limits_{x \rightarrow \infty}(2x-4)=+\infty

\lim\limits_{x \rightarrow -\infty}(2x-4)=-\infty

No horizontal asymptote

B.  f(x) = -3x + 4

\lim\limits_{x \rightarrow \infty}(-3x+4)=-\infty

\lim\limits_{x \rightarrow -\infty}(-3x+4)=\infty

No horizontal asymptote

C. f(x) = 2\cdot 3^x + 4

\lim\limits_{x \rightarrow \infty}(2\cdot 3^x + 4)=2\cdot 3^\infty + 4=\infty

\lim\limits_{x \rightarrow \infty}(2\cdot 3^x + 4)=2\cdot 3^{-\infty} + 4=0+4=4

This function has a horizontal asymptote at y=4

D. 3\cdot 2^x -4

\lim\limits_{x \rightarrow \infty}(3\cdot 2^x - 4)=3\cdot 2^\infty - 4=\infty

\lim\limits_{x \rightarrow \infty}(3\cdot 2^x- 4)=3\cdot 2^{-\infty} - 4=0-4=-4

This function has a horizontal asymptote at y=-4

Correct answer: C.

8 0
3 years ago
I move east a distance of 4km, south a distance of 2 km, and then west a dostance of 1km. What is the cartesian cordinates relat
mojhsa [17]

Answer:

In x: 4-1=3

In y: -2

Cartesian coordinates: (3,-2)

Step-by-step explanation:

If we move horizontally we must consider only the x axis, if we move to east it is positive, and if we move to west it is negative.

f we move vertically we must consider only the y axis, if we move to north it is positive, and if we move to south it is negative.

6 0
2 years ago
A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).
My name is Ann [436]

Answer:

y-(-8)= -6(x-2)

y+8= -6x+12

y = -6x+ 4

you're mistake was you did +8 in 3rd step but you need to -8 both side becoz y-(-8)= y+8

Step-by-step explanation:

brainliest?

8 0
1 year ago
Please help out and if you know help me show work ??
Ghella [55]

Answer:  14

<u>Step-by-step explanation:</u>

Consecutive even numbers would be {2, 4, 6, 8, 10, ...}

Let x represent the smallest number, then x + 2 is the middle number and x + 4 is the largest number.

1st number: x

2nd number: x + 2

3rd number: x + 4

1st number + 2nd number + 3rd number = Sum

      (x)        +      (x + 2)       +      (x + 4)      =  48

                                                      3x + 6   =  48

                                                      3x          = 42

                                                        x           = 14

1st number: x           ⇒ x = 14

2nd number: x + 2   ⇒ 14 + 2 = 16

3rd number: x + 4    ⇒ 14 + 4 = 18

<u>Check:</u>

14 + 16 + 18 = 48 \checkmark

 

7 0
2 years ago
Jacob wants to know the favorite sport among 6th grade students. Which types of survey below would give Jacob valid results?
Anastasy [175]
Answers are A, D
Because they will have people that don’t like sports and do like sports where as if you survey them in a sports shop there gonna like sports otherwise they wouldn’t be there
4 0
2 years ago
Read 2 more answers
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