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3 years ago

Describe the end behavior of the function. f(x)=3(1/5)^x-2

Mathematics

2 answers:

Solnce55 [7]3 years ago

8 0

Answer:

x → -∞, f(x) → ∞

x → ∞, f(x) → -2

Step-by-step explanation:

f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.

The -2 added to the exponential term moves the asymptote from y=0 to y=-2.

x → -∞, f(x) → ∞

x → ∞, f(x) → -2

Likurg_2 [28]3 years ago

5 0

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

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Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells

dlinn [17]

Answer:

$12d+34>100$

Step-by-step explanation:

Let d be the number of days.

We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.

We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: $12d+34$

As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:

$12d+34>100$

Therefore, the inequality $12d+34>100$ can be used to find the number of days, d, it will take Katie to collect over 100 seashells.

8 0

4 years ago

Read 2 more answers

PLS ANSWER THX!

soldier1979 [14.2K]

Using the percentage, the amount raised in the first three month is $840

<h3>How to find the amount raised in 3 months?</h3>

The Helping Hands Student Club set a goal to raise $3,000 by the end of the school year for a project.

After 3 months, it reaches 28 percentage of its goal.

The amount that was raised during the first three months can be calculated as follows:

amount raised = 28% × 3000

amount raised = 28 / 100 × 3000

amount raised = 84000 / 100

Therefore,

the amount raised in the first three month = $840

learn more on percentage(%) here: brainly.com/question/384547

#SPJ1

3 0

1 year ago

Find the 61st term of the arithmetic sequence<br> 8, 7, 6, ...

Lesechka [4]

Answer:

The 61st term is -52

Step-by-step explanation:

5 0

3 years ago

Lizzie bought 0.8 kg of pears at €1.90 per kilogram and 1.4 kg of apples. The total cost €4.46. What was the price per kilogram

scoundrel [369]

Answer:

The the cost of 1 kg apples = € 2.1

Step-by-step explanation:

The amount of pears bought by Lizzie = 0.8 kg

The amount of apple bought by Lizzie = 1.4 kg

Total amount paid = €4.46

Now, the cost of 1 kg pears = €1.90 per kg

So, the cost of 0.8 kg pears = 0.8 x (1.90) = €1.52

Now, let the cost of 1 kg apples = € m

So, the cost of 1.4 kg apples = 1.4 x ( € m) = 1.4 m

So, the total amount = Cost of Apples + Cost of Pears

⇒ €4.46 = €1.52 + 1.4 m

or, 1.4 m = 4.46 - 1.52 = 2.94

⇒ m = 2.94/1.4 = 2.1

or, m = 2.1

Hence, the the cost of 1 kg apples = € 2.1

7 0

4 years ago

. A line goes through the points (3, -4) and (-1, 8). write the equation of the line in point-slope form. (Show the steps for ho

Allushta [10]

Answer: y= -3x + 5

Step-by-step explanation:

y2-y1 divide by x2-x1 = m

therefore you would do 8 - -4= 12 divide by -1 - 3= -4 which gives you 12 divided by -4

m= 12/-4 aka m = -3

and to find the y intercept you should use one of the point coordination to plug it into the formula y=mx+ b

use (-1,8)

8= -3(-1) + b

8= 3+b

subtract 3 from both sides

b= 5

then plug the m and the b into y=mx + b

and you get y= -3 + 5

3 0

1 year ago