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LUCKY_DIMON [66]
3 years ago
14

Compare the two functions f(x)=1/50(3)^x g(x)=1/5x^2

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
7 0

f(x) is an exponential function with an "a" value of 1/50

g(x) is a quadratic function with an "a" value of 1/5

juin [17]3 years ago
7 0

Answer:

As x increases, the rate of change of f(x) exceeds the rate of change of g(x).

Step-by-step explanation:

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At 1:00 p.m. a car leaves st. louis for chicago, traveling at a constant speed of 65 miles per hour. at 2:00 p.m. a truck leaves
Maurinko [17]
Let x =  miles traveled by car
Let y = miles traveled by truck.

Because the total distance is 305 miles,
x + y = 305       (1)

Let t = hours of travel by truck. Because the truck speed is 55 mph,
55*t = y            
or 
t = y/55              (2)

The car has an hour head start, therefore it travels for (t + 1) hours.
Because the car travels at 65 mph,
65*(t + 1) = x
Substitute (2) to obtain
65*(y/55 + 1) = x
or
1.1818y + 65 = x        (3)

From (1), obtain
1.1818y + 65 = 305 - y
2.1818y = 240
y = 110
x = 305 - y = 195

From (2),
t = 110/55 = 2 hours

The two vehicles pass each other at 2:00 pm + 2 hours  = 4:00 pm

Answer: 4:00 pm
8 0
4 years ago
Caroline wants to give 8 equal size packets of flower seeds to her friend . She has 1/2 pound of flower seeds . How much will ea
snow_tiger [21]
Each packet will equal to weigh a total of 

1/16 of a pound.

This is because 1/2 a pound divided by 8 packets equals to 1/16 of a pound.
4 0
4 years ago
Read 2 more answers
I REALLY NEED HELP!
irga5000 [103]

Answer:

<u>Cube with side 5 has volume:</u>

  • V = 5³ in³

<u>10 cubes have volume:</u>

  • V = 10*5³ in

<u>Cube has surface area:</u>

  • S = 6*5² in²

<u>10 cubes have surface area:</u>

  • S = 10*6*5² = 60*5² = 12*5³ in²
3 0
3 years ago
What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? m Y 1 77](V₂ − V₁]
Kamila [148]

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

<h3>How to carry out division of line segments?</h3>

From the attached line segment graph, we see the coordinates as;

J (1, -10) and K (7, 2)

Let us assume that, point L divides the directed line segment from J to K into a ratio of 5:1.

From the properties of coordinate geometry we know that, the coordinates of point that divides the line joining (x₁, y₁), (x₂, y₂) in m:n, are;

[(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]

Plugging in the relevant values gives;

[(5 * 7 + 1 * 1)/(5 + 1)], [(5 * 2 + 1 * -10)/(5 + 1)]

⇒ (6, 0)

Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

Read more about division of line segments at; brainly.com/question/17374569

#SPJ1

4 0
2 years ago
Hi thanks if u can help make it short and sweet pleaseee thxxx
Oxana [17]
I would say b because any number that you substitute for the variable would still make the expressions equal.
7 0
4 years ago
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