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Luda [366]
3 years ago
5

Exponential functions exhibit exponential growth (or decay). What does this mean to the graphs of these functions? a.. the graph

will rise or fall more dramatically than a polynomial graph. c.. the graphs represent the population of bacteria in your mouth. b.. the graph is three dimensional. d.. the exponent in the equation is less than one

Mathematics
2 answers:
pantera1 [17]3 years ago
5 0
Exponential functions exhibit exponential growth or decay and this means their graphs will rise or fall more dramatically than a polynomial graph.
nika2105 [10]3 years ago
4 0

<u>Answer:</u>

The correct option is:

Option: a

a. the graph will rise or fall more dramatically than a polynomial graph.

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

The most basic exponential function is a function of the form  

y=b^x

where   b  is a positive number.

When   b>1

the function grows in a manner that is proportional to its original value. This is called exponential growth.

When  0>b>1

the function decays in a manner that is proportional to its original value. This is called exponential decay.

The graph of a exponential function increases or decreases rapidly as compared to a graph of a polynomial function.

Hence, option a is the correct answer.

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What is the sum of the first 37 terms of the arithmetic sequence?
lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_{1} + a_{n})}{2}

In this question:

a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6

We want the sum of the first 37 terms, so we have to find a_{37}

a_{n} = a_{1} + (n-1)*d

a_{37} = a_{1} + (36)*d

a_{37} = -27 + 36*6

a_{37} = 189

Then

S_{37} = \frac{37(-27 + 189)}{2} = 2997

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0
3 years ago
A tree in Kevin's backyard is 5/8 meters tall. It has been growing for 1 2/5 years. What is the unit rate in meters per year? No
irga5000 [103]

Answer:

o.4464287142 or 0.4

Step-by-step explanation:

The tree is 5/8 meters tall and that's in 1 2/5 years so you would divide them and you get .4464287142

6 0
3 years ago
Read 2 more answers
In a certain grocery store, strawberries cost $6.40 per pound ( 6.40 dollars/lb ). What is the cost per ounce?
Nastasia [14]

Solution:

we are given that

In a certain grocery store, strawberries cost $6.40 per pound ( 6.40 dollars/lb ).

we have been asked to find the cost per ounce?

As we know that

16 oz=1 lb

so we will divide by 16 to get the cost per ounce.

strawberries cost $6.40 per pound so for 1 oz it will cost =\frac{6.40}{16}= 0.4$

Hence cost per ounce is 0.40 $

4 0
3 years ago
Tristan has 45 apples and 20 pears tgat he is putting into gift baskets.Each basket will have the same number of apples and pear
Olegator [25]
Tristan can make 5 fruit baskets with no fruit left over. 9 x 5 = 45 and 4 x 5 = 20 
9 apples and 4 pears will go in each fruit basket.
3 0
3 years ago
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It snowed 68.5 cm in one day. How much did it snow in meters?
kicyunya [14]

Answer: 0.685 meters

Step-by-step explanation:

5 0
3 years ago
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