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Alenkasestr [34]
3 years ago
6

Which increase faster, f(x)=5x or g(x)=5^x

Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0

g(x) = 5^x is your answer

Plug in increasing numbers for x to get the output.

For example: when x = 1

f(1) = 5(1) = 5

g(1) = 5^(1) = 5

when x = 2

f(2)= 5(2) = 10

g(2) = 5^(2) = 25

when x = 3

f(3) = 5(3) = 15

g(3) = 5^(3) = 125

~

From the example above, we see that g(x) = 5^x is your answer

~

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Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0
Masja [62]

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

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

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

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

h(x)=\dfrac{1}{3}|x-6|+4

Put the values of x to the equation of the function h(x):

x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6


6 0
3 years ago
96 sq meters
Vsevolod [243]

Answer:

84 sq meters

Step-by-step explanation:

1. Approach

In order to solve this problem, one will have to divide the figure up into simple shapes. A picture is attached showing how the shape is divided up for this answer. Find the area of each region, then add up the results to find the total area.

2. Area of Region 1

As one can see, the length of (Region 1), as given is (6), the width is (3). To find the area multiply the length by the width.

Length * width

6 * 3

= 18

3. Area of Region 2

In (Region 2), the length is given, (12). However, one must find the width, this would be the size of the total side, minus the width of (Region 1). Multiply the length by the side to find the area.

Length * width

= 12 * (8 - 3)

= 12 * 5

= 60

4. Area of Region 3

In (Region 3), the length of the figure is (2), the width is (3). To find the area, multiply the length by the width.

Length * width

= 2 * 3

= 6

5. Total area

Now add up the area of each region to find the total rea,

(Region 1) + (Region 2) + ( Region 3)

= 18 + 60 + 6

= 84

7 0
3 years ago
Please help <br> Will give brainliest!!!
Verdich [7]
Step 1: set equations equal to eachother
2x+2=x-1
which equals to x=-3
so the answer is one.
7 0
3 years ago
Read 2 more answers
Translate "a number is at least 32" into an inequality.
tino4ka555 [31]

Answer:

x\geq32

Step-by-step explanation:

"A number at least 32"

Let's use x as the number

x\geq32

Reason: at least means greater than or equal to

5 0
3 years ago
Acellus
marishachu [46]

Answer: (0, 3)

Step-by-step explanation:

7 0
3 years ago
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