Choose among these options the one that results in a graph that shows exponential decay. A. f(x) = 0.6(2)x B. f(x) = 3(0.7)x C. f(x) = 0.4(1.6)x D. f(x) = 20(3)x

Answers

Answer 1

B. f(x) = 3(0.7)ˣ
Decay means an overall decrease in the original value. Exponential equations are written in the form:
amount after time n = original amount x (decay OR increase factor)ⁿ
The value of the factor is less than one in the case of a decay.

Answer 2

Answer: [B]: " f(x) = 3(0.7)ˣ " .
________________________________________________________
x | y
0 | 3
1 | 2.1
2 | 1.48
_________________________________________________________
When, "x" [which is the exponent] increases" ; the resulting value; "y" on a graph, DECREASES; hence; "exponential decay".
_____________________________________________
Consider Choice [A]: " f(x) = 0.6(2)ˣ " .
_________________________________________________________
x | y
0 | 0.6
1  | 1.2
2 | 2.4 ;

When "x" [the exponent] increases, the resulting value; "y" (on a graph); INCREASING; indicating 'exponential growth' ; NOT 'exponential decay' .
______________________________________________________
Consider Choice [C]: "f(x) = 0.4(1.6)ˣ " .
_________________________________________________________
x | y
0 | 0.4
1  | 0.64
2 | 1.024

When "x" [the exponent] increases, the resulting value; "y" (on a graph); INCREASING; indicating 'exponential growth' ; NOT 'exponential decay' .

→ As such, Choice: [C]: is incorrect.
______________________________________________________
Consider Choice [D]: " f(x) = 20 * (3)ˣ " ;
_________________________________________________
x | y
0 | 20
1  | 60
2 | 180 ;
_________________________________________________

When "x" [the exponent] increases, the resulting value; "y" (on a graph); INCREASING; indicating 'exponential growth' ; NOT 'exponential decay;.

→ As such, "Choice [D]" is incorrect.
______________________________________________________

Related Questions

Pine Bluff Middle School is having its annual Spring Fling dance, which will cost $400. The student treasurer reported that the dance fund has $ 75 left over from last year. Each ticket to the dance costs $4. Let t represent the number of tickets sold. Write an inequality to determine how many tickets must be sold to pay for this year's dance.

Answers

First you subtract the current fund from the total cost
400 - 75 = 325
Then you divide 325 by the price of the tickets 4, for the number of tickets needed
325/4= 81.25
Since you can't sell a quarter of a ticket, 81.25 is rounded up to 82
x ≤ 82

Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
15 out of 20 students own hand-help games;105 out of 160 own hand-held games

Answers

15 out of 20 is 15/20 = 3/4 = 0.75.

105 out of 160 is 105/160 = 0.656....

Which is the greater ratio?

In his will, Mr. Adams left 25% of his estate to his wife and unevenly divided the balance between his son and his daughter.If the son received $36,000 as his share, what was the total value of the estate?

Answers

$108,000 I'm pretty sure

What is 5 5/8 + 6 1/4

Answers

11.875 in decimal form.

It would be 11 and 7/8 because 5+6=11 and you convert 1/4 to 2/8 so then you do 5/8+2/8=7/8 and 11+7/8=11 and 7/8

solve for x 9x>-18 answer must be simplified

Answers

Divide both sides by 9 to go from this
9x > -18
to this
x > -2

On the left side the 9x becomes 9x/9 = 1x = x
on the right side we have -18/9 = -2

Answer is x > -2

Write the number in scientific notation: 60,000

Answers

6×10^4
We use 6 because the # has to be greater than or equal to 1 but less than or equal to 10.
10^4=10000
10000×6=60000

To write a number in scientific notation, first, write a decimal point in the number so that there's only one digit to the left of the decimal point.

Next, count the number of places the decimal point would need to move to get back to the original number.

The number of spaces to get back to the original number is the exponent.

Order the numbers from least to greatest 7.8 7.88 7.78 7.87 7.77

Answers

7.77, 7.78, 7.8, 7.87, 7.88

2/3 + 1/4 + 4/8= Please help do next day. 50 points

Answers

2/3+1/4+4/8=11/12+4/8=11/12+1/2=17/12

2/3 + 1/4 + 4/8 =

find least common denominator and rewrite the fractions

lets use 24: 24/3 = 8, 24/4 = 6, 24/8 = 3

so 2/3 = 16/24

1/4 = 6/24

4/8 = 12/24

now add them together:

16/24 + 6/24 + 12/24 = 34/24 which becomes 1 and 10/24 reducing to 1 and 5/12

Find the multiplicative inverse, or reciprocal, of . 5 over 9

Answers

multiplicative inverse is 9/5 or 9 over 5

Final answer:

The multiplicative inverse or reciprocal of the fraction 5/9 is 9/5, which is the result of flipping the numerator and denominator.

Explanation:

The multiplicative inverse, or reciprocal, of a fraction is another fraction in which the numerator and denominator are flipped. For the fraction 5 over 9, the multiplicative inverse is found simply by reversing the numerator and the denominator, turning it into 9 over 5.

To illustrate this with an example, let's consider the fraction ½. The reciprocal of ½ is 2, as their product equals 1 (1/2 x 2 = 1). Similarly, the reciprocal of 5/9 will be such that (5/9) x (9/5) = 1.

Hence, the reciprocal of 5/9 is 9/5.

Farrah’s math grade average is 93.3¯%. How can you represent this repeating decimal as a fraction? 0.3¯

Answers

Farrah’s math grade average = 93.3¯%
Fraction of the repeating decimal 0.3¯ = 3/9 = 1/3
Thus the answer is 1/3.
and if you divide 1/3, yo can check on calculator that we get 0.33333333.... that is repeating decimal.

The repeating decimal as a fraction can be represented as [tex]\mathbf{\dfrac{1}{3}}[/tex]

A repeating decimal is known to be a continuous decimal expressing a number with an indefinite reoccurring part after the decimal point that is not zero.

From Farrah's math grade average score of 93.3%;

the repeating decimal in bold form is 93 + 0.3

[tex]\mathbf{= \dfrac{3}{9}} \\ \\ = \mathbf{\dfrac{1}{3}}[/tex]

Check:

[tex]\mathbf{\dfrac{1}{3}}}[/tex] in decimal results into a repeating decimal 0.33333333

Therefore, we can conclude that repeating decimal as a fraction is represented as [tex]\mathbf{\dfrac{1}{3}}[/tex]

Learn more about fractions here;

https://brainly.com/question/6201432?referrer=searchResults

A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400. What is the cost of each table and each chair? And can you please explain the process using substitution please? Thanks.

Answers

4t+2c=200
2t+7c=400

I will solve for c in terms of t first
4t+2c=200
2c=200-4t
c=100-2t

Then I will substitute this in for c in the second equation to make it single variable
2t+7c=400
2t+7(100-2t)=400
2t+700-14t=400
300t=12
t=25
Tables cost $25 each

Plug t back into one of the ORIGINAL equations to find the cost of chairs
4(25)+2c=200
100+2c=200
2c=100
c=50
Chairs cost $50 each

Hope this helps! :)

Does anyone know how to do 9 and 10 ???

Answers

9.2x-9<7
add 9 to both sides, 2x<16
divide both sides by 2, x<8
A.

10.n<5
-4n+11>-9 Subtract 11 from both sides
-4n>-20 then, divide both sides by -4
In these greather than less than equations, when you divide a negative by another negative, you must flip the sign
so that would be, n<5
D

9) 2x - 9 < 7

Add 9 to both sides.

2x < 7 + 9

Simplify.

2x < 16

Divide both sides by 2.

x < 8

10) Go through each answer choice & check.

a) 4n + 11 > -9

Subtract 11 from both sides.

4n > -9 - 11

Simplify.

4n > -20

Divide both sides by 4.

n > -5

(a) is incorrect.

b) 4n + 11 < -9

Subtract 11 from both sides.

4n < -9 - 11

Simplify.

4n < -20

Divide both sides by 4.

n < 5

(b) is incorrect

c) -4n + 11 <-9

Subtract 11 from both sides.

-4n < -9 - 11

Simplify.

-4n < -20

Divide both sides by -4.

n > 5

(c) is incorrect

d) -4n + 11 > -9

Subtract 11 from both sides.

-4n > -9 - 11

Simplify.

-4n > -20

Divide both sides by -4.

n < 5

(d) is correct

~Hope I helped!~

When can you carve out time to study each month or each week

Answers

When you have nothing to do or when you finish your homework then take a break then study then take a break then study. Or don't play video games or watch tv and just study for like 60 minutes and have breaks after every 20 minutes... hope that helps. Also, another way is to tell someone like a roommate parent or sibling to yell at you until you go into your room and study.

A store manager ordered 402 baseball caps and 122 ski caps estimate the total number of. Apps the manager ordered

Answers

If you meant estimate the total number of caps the manager ordered, its 524. Because 402+122=524. Now if it said Apps we need more detail to understand were does "Apps" come into play.

It is 525 hope that will help

Simplify. 4 + 3(10 - 23) A) 8 B) 10 C) 11 D) 12

Answers

4 + 3 * -13
4 - 39
-35

a student teacher rectangular desk is 30 inches long and 18 inches wide the teachers desk is similar to the student desk and has a length of 50 inches what is the width of the teachers desk ?

Answers

Similar means that the student's desk and the teacher's desk is proportional.

Simplify:
Solve for x.
50*3=5*x
x=30. in.

Added: 30 + 18 + 50 = 98

Hopefully this is correct, if not them sorry, Have a nice day~Nana!~

arrange the following polynomial into descending order and identify the 3rd term -19x^2+2+4x^3-7x
a. -19x^2
b.2
c.4x^3
d.-7x

Answers

descending order....highest exponent to lowest exponent

-19x^2 + 2 + 4x^3 - 7x = 4x^3 - 19x^2 - 7x + 2

third term is -7x

Why can I not subtract this pls help

Answers

To subtract this number you should break it down first. Try subtracting $25.00 -12.75 and then take that answer and subtract it by $8.50.

the answer would be 3.75 because you would subtract 12.75 from 25.00 which would be 12.25, then you would subtract 8.50 from 12.25 and you would get 3.75.

25.00 - 12.75 = 12.25
12.25 - 8.50 = 3.75

WILL GIVE BRAINLIEST!

Find the slope of the line shown below.

A) -2

B) 2

C) -1/2

D) 1/2

Answers

The answer should be -1/2.

As we move from left to right, the graph goes thru (0,5) and (2.5,0).
-5
Thus, the "run" is 2.5 and the "rise" is -5. The slope is then m = ------
2.5

or m = -2 (answer).

write 3x+(2-4x) in standard form

Answers

3x+(2-4x) in standard form is 1x.

I think the answer would be -1 + 2

How do you solve the system of linear equation by multiplying?

5x - 2y = 11
3x + 5y = 19

Answers

5x-2y=11 X=(11+2•2)#5
5x=11+2y X=15#5
X=(11+2y)#5 X=3

3x+5y=19
3•(11+2y)#5+5y=19
(33+6y)#5+5y=19
(33+6y+25y)#5=95#5
33+31y=95
31y=62
Y=2
#significa divisão
•significa multiplicação

The solution set for the system of equations is (3, 2).

What is system of equations?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought

Given is the system of equations -

5x - 2y = 11

3x + 5y = 19

Multiply Eq.{1} by 3 and Eq.{2} by 5, we get -

15x - 6y = 33

15x + 25y = 95

Now, performing Eq(2) - Eq(1), we get -

15x + 25y - 15x + 6y = 95 - 33

31y = 62

y = 2

x = 11 + 2y/5

x = 15/5

x = 3

Therefore, the solution set for the system of equations is (3, 2).

To solve more questions on system of equations, visit the link -

brainly.com/question/30098550

#SPJ2

The length of a rectangle is 5cm more than its width. The perimeter of the rectangle is 46cm. Find the width and the length

Answers

Final answer:

The width of the rectangle is 9 cm, and the length is 14 cm.

Explanation:

To find the width and length of the rectangle:

Let's assume that the width of the rectangle is x cm. According to the problem, the length of the rectangle is 5 cm more than its width, so the length would be x + 5 cm.

The perimeter of the rectangle is 46 cm. The formula for the perimeter of a rectangle is P = 2(w + l), where P is the perimeter, w is the width, and l is the length.

So, we can set up the equation: 46 = 2(x + (x + 5)).

Simplifying the equation gives us: 46 = 2(2x + 5).

Expanding the equation further gives us: 46 = 4x + 10.

Subtracting 10 from both sides of the equation gives us: 36 = 4x.

Dividing both sides of the equation by 4 gives us: x = 9.

Therefore, the width of the rectangle is 9 cm, and the length is 9 + 5 = 14 cm.

Final answer:

To find the width and length of the rectangle, set up an equation using the given information and solve for x. The width is 9 cm and the length is 14 cm.

Explanation:

To solve this problem, we can set up an equation using the information given. Let's assume the width of the rectangle is x cm. Since the length is 5cm more than the width, it will be x + 5 cm. The perimeter of a rectangle is found by adding all its sides, so we have:

2(x + x + 5) = 46

Simplifying this equation gives us:

4x + 10 = 46

Subtracting 10 from both sides:

4x = 36

Dividing both sides by 4:

x = 9

Therefore, the width of the rectangle is 9 cm and the length is 9 + 5 = 14 cm.

8.5+4(1-2.5k)=24.5 round to the nearest hundredth

Answers

Hi there!

Your question:

8.5 + 49(1-2.5k)=24.5

My answer:

8.5 + 4(1-2.5k) = 24.5 >>>>>>> first, you have to distribute

8.5 + 4 - 10k = 24.5 >>>>>>>> now, we are going to combine like terms.

12.5 - 10k = 24.5 >>>>>> now, we are going to subtract 12.5 on both sides

-10k = 12 >>>>>>>>> finally, divide -10 on both sides

k = -1.2

Hope this helps you!

Your Problem:
8.5+4(1-2.5k)=24.5
1st step: subtract 8.5 from both sides
4(1-2.5k)=24.5-8.5
4(1-2.5k)=16
2nd step: Divide both sides by 4
(1-2.5k)=16/4
(1-2.5k)=4
3rd step: Opening up the parentheses
1-2.5k=4
4th step: Subtract 1 from both sides
-2.5k=4-1
-2.5k=3
4ht step: divide both sides by -2.5
k=-1.2

Jenna Is 4 Years Older Than Her Sister. The Sum Of Jenna's Age And Her Sister's Age Is 32. How Old Is Jenna?

Answers

Jenna = 18
Sister = 14

Arliss has two pieces of carpet runner. One is 2 1/3 yards long and the other is 3 1/3 yards long. She needs 10 yards of carpet runner altogether. How much more does she need to buy?

Answers

Arliss needs 5 1/3 more carpet to get a total of 10 yards of carpet.

3x+2y=11 , x+3y=11 substitute

Answers

If you solve the second equations for x it would look like x=11-3y which you then plug into the first equation so it would look like 3(11-3y)+2y=11 and then you would solve for y. What you get for your y you plug into one of the equations and solve for x.

The coordinates of quadrilateral EFGH are E(4, 8), F(1, 2), G(6, 1), and H(8, 8). The image of EFGH under dilation is E'F'G'H'.

If the coordinates of vertex E' are (1, 2), what are the coordinates of vertex H'?
No pic is attached

A) (2, 8)
B) (5, 6)
C) (2, 2)
D) (4, 8)

Answers

the answer is (2,2) because the dilation is by 1/4

E goes from (4,8) to (1,2) which equals a 1/4 scale factor ( put lower number over higher number so X = 1/4 and Y = 2/8 which reduces to 1/4)

so H needs to be reduced by 1/4

8/4 = 2

so new coordinate is (2,2)

Answer is C

Help! Eugene wants to buy jeans at a store that is offering a $10 discount on every item.the tag on the jeans is marked 50% off.the original price is $49.98.find the final cost if the 50% percent discount is applied before the $10 discount. B .find the final cost if the $10 discount is applied before the 50% discount

Answers

A)so first you have it discounted by 50% so the jeans are not 24.99(49.98/2). Now discount it again by 10 dollars and you get 14.99(24.99-10).

B)so first you have it discounted by 10 dollars so the jeans cost 39.98(49.98-10). Now discount it again by 50% and you get 19.99(39.98/2).

The final cost is 19.99. Hope this helps

What is the equation for the relationship

Answers

the equation is y=0.4 i think

State whether the graph of each linear relationship is a solid line or set of unconnected points explain your reasoning the relationship between the number of $12 DVDs you buy and the total cost

Answers

Hello! The graph of each linear equation is a set of unconnected points. The thing is that with a solid line, you can have things in-between whole numbers. However, you can’t have a fraction of a movie. Dotted points show that you can’t have in between values and that only whole quantities count.

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