Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x

a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x

Answers

Answer 1

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)


Related Questions

Determine the price of a $35 basketball that is on sale for 50% off the regular price.

Answers

Answer:

$17.5

Step-by-step explanation:

50 is 1/2 of 100, so just divide 35 by 1/2

Angles 1 and 2 are complementary. If m<1 = 56°, what is the measure of <2? ​

Answers

Answer:

34°

Step-by-step explanation:

complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.

What is the inequality shown?

Answers

This type of graph is called a segment.

To write the solution set which represents the graph

of a segment, read the segment from left to right.

If you take a look at the segment shown here, we would start with the endpoint on the left which is a -4, our variable x would be in the middle, and we would finish things off with the endpoint on the right, which is 5.

Since we have an open dot at -4, we use a less than sign between the -4 and the x and since we have a closed dot at 5, we use a less tan or equal to sign between the x and the 5.

It's important to understand that when representing a segment by reading it from left to right, you will only use "less than" or "less than or equal to" between the parts, never "greater than" or "greater than or equal to."

So the solution for this graph is read {x: -4 < x ≤ 5}.

What is the circumference of a circle with a radius of 3
inches? Use
3.14

Answers

Answer:

C= 18.85 if you want circumference, A= 28.27 if you want area.

Step-by-step explanation:

For circumference, you would want to multiply the radius with pi (pi x 3.14). The formula for it that you could keep in mind is, "C = 2 pi r" For area, the formula of the circle is, "A = pi r^2" or "Area equals pi r squared"

The circumference of a circle with a radius of 3 inches is 18.84 inches.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We have to find the  circumference of a circle with a radius of 3 inches.

The formula for circumference of circle is 2πr

Where r is the radius of the circle.

Given radius is 3 inches

Circumference=2π(3)

=6π

The value of π is 3.14

=6×3.14

=18.84 inches

Hence, the circumference of a circle with a radius of 3 inches is 18.84 inches.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ2

A football team splits its players into four even squads: A squad, B squad, C squad, and D squad. What fraction of the team is on three of the squads: A squad, B squad, and C squad?

Answers

I think the answer is 3/4?

If f(x) = 3(x+ 5) +4/x, what is f(a+2)?

A. 3(f (a) + 5) +4/f(a)+2

B. 3(a + 7) + 4/a+2

C. 3(a + 2) + 4/a + 2

Answers

Answer:

B. 3(a + 7) + 3/(a + 2)

Step-by-step explanation:

Just substitute (a+2) in for every (x) in the equation:

f(a + 2) = 3 ((a + 2) + 5) + 4/(a+2)

           = 3 (a + 7) + 4/(a+2)

8. A ship leaves port at 9:00 a.m. and has a bearing of N 70° W. The ship sails
at 18 knots. How many nautical miles north and how many nautical miles
west will the ship have traveled by 1:00 p.m.? Draw a picture!
Round to the nearest tenth.

Answers

9514 1404 393

Answer:

24.6 Nm north67.7 Nm west

Step-by-step explanation:

In x-y coordinates, the direction is 70° CCW from 90° (north), so is 160° from the +x axis. In 4 hours at 18 Nm/h, the ship will travel 4×18 Nm = 72 Nm.

The coordinates in the x-y plane can be found to be ...

  72(cos(160°), sin(160°)) ≈ (-67.7, 24.6)

The ship traveled 67.7 nautical miles west and 24.6 nautical miles north from the port.

A right triangle has a rise of 16 and a run of 4.
A similar right triangle with a run of 5 will have
a rise of what

Answers

Answer:

5/4

Step-by-step explanation:

Make a proportion:

16/4 = 5/x

Cross Multiply:

20 = 16x

x = 5/4

The correct answer should be
5/4

how do you find the equation to lines or a line on a graph??

Answers

Answer:

The point on the Y goes at the end of the equation. The dimensions of the point on the Y is the slope. So Y=2/3x+6

Step-by-step explanation:

Hope this helps! :)

The point on the Y graph

《hello》
aprendo Español ⊙•⊙
¿cuánto es 88,6÷34 ?​

Answers

Answer:

2 (rounded)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

tomas works for a cellphone company. he has a base salary of $350 each month and earns an additional $40 for each cellphone he sells. write a function (linear equation) in slope-intercept form (y = mx + b) that represents tomas' total earnings (y) for one month for selling (x) number of cellphones.

Use the linear equation from question 1 to determine Tomas' earnings for a month where he sold 30 cellphones. *

Answers

Answer:

The function is [tex]y = 40x + 350[/tex]

When he sold 30 cellphones, he earned $1550.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope(how much y changes when x changes by 1), and b is the y-intercept, that is, the value of w when x = 0.

Base salary of $350 each month and earns an additional $40 for each cellphone he sells.

If he sells 0 cellphones, he earns $350, so [tex]b = 350[/tex].

For each cellphone he sells, he earns $40, so [tex]m = 40[/tex]

The function is:

[tex]y = mx + b = 40x + 350[/tex]

Tomas' earnings for a month where he sold 30 cellphones.

This is y when [tex]x = 30[/tex]. So

[tex]y = 40*30 + 350 = 1550[/tex]

When he sold 30 cellphones, he earned $1550.

One number exceeds another by 8. The sum of the numbers is 46. What are the numbers?

Answers

[tex]x + x +8 = 46 \\ 2x = 46 - 8 \\ x = 48 \div 2 \\ x = 24[/tex]


I need help with this If right

Answers

Answer:

14° I think sorry if its wrong this was quick one

Answer:

[tex]10^0[/tex]

Step-by-step explanation:

the sum of all angles should add to a straight line, a straight line has an angle of 180 so add 92 and 78 subtracting the total from 180

[tex]92+78=170\\180-170=10\\answer =10^0[/tex]

Evaluate the function, f(m)=4+2.5m, when m=3

Answers

Answer:

11.5

Step-by-step explanation:

its up there

At a store,a basketball has been discounted 20% off the regular price. The sale is $15 .What was the original price of the basketball? Show your work and explain your answer.

Answers

Answer:

$18

Step-by-step explanation:

Since there was a 20% discount all we have to do is add 20% to the sale price.

15 increase 20% =

15 × (1 + 20%) = 15 × (1 + 0.2) = 18

would this be 90? with steps please ​

Answers

Answer:

K so the added measure of all the angles in a rhombus should be 360 degrees so the answer is 90.

Step-by-step explanation:

i dunno how else to explain.

Could you help with this question?

(X-2)= -5.5

Answers

Answer:

-3.5 i believe

Step-by-step explanation:

Answer : X=-3.5

Step-by-step explanation:

Find the unit rate. 1) 72 orders in 3 days orders per day​

Answers

Answer:

24 orders per day

Step-by-step explanation:

Divide 72 by 3 that will tell you how many orders there were in one day.

Which data collections show bias? Check all that apply.
D An English teacher polls the top-ten most avid readers to find their favorite books.
O An
insurance company polls drivers of sports cars to find their average number of tickets.
O A restaurant manager surveys every tenth customer for one week.
O An assistant principal surveys each student who is sent for discipline.
D A fundraiser organizer draws five names from a hat that contains all entries.

Answers

Answer:

An insurance company polls drivers of sports cars to find their average number of tickets.

Step-by-step explanation:

It’s bias because they’re only polling people with sports cars

An English teacher polls the top ten most avid readers to find their fav books
An insure company polls drivers of sports cars
An assistant principal surveys each student

Which equation represents the relationship between the x-values and the y-values in the table?

Answers

Answer:

y = 10x + 5

Step-by-step explanation:

Remember when x = 0 that is when you get your y-intercept. So when you look at the chart you  can see that your answer has to have a +5 so now you are  down to only to answers.

Now slope is the change of Y over the change of X , so 5 to 55 is 50

and 0 to 5 is 5

[tex]\frac{y}{x}[/tex]=[tex]\frac{50}{5}[/tex] and that equals 10

put both parts together and

y = 10x + 5

Write a compound inequality that represents each situation. Graph your solution.

All real numbers that are greater than -6 but less than 6.

Answers

Answer:

-6 < x < 6

Step-by-step explanation:

Frida applied the steps below to find the product of (–1.2)(–9.4). Step 1: (–1.2)(–9.4) = (–9.4)(–1.2) Step 2: = (–9.4)(–1) + (–9.4)(–0.2) Step 3: = (9.4) + (1.88) Step 4: = 11.28 Which step shows where she applied the property that states multiplying two negative numbers will always yield a positive number?

Answers

Answer:

step 3!

Step-by-step explanation:

I need help with this I will mark you if it’s not wrong

Answers

Answer:

C

Step-by-step explanation:

May I please have brainliest

Answer:

The answer is C

Step-by-step explanation:

I subtracted 29 from 180, and then i added 5 since it is subtracting

Solve. You must factor first.

5x^2+ 17x+ 14=0
Please show work

Answers

Answer:

the answer is X=-3

1) 5x^2+17x+14=0

2)5x^2+17x=-14+0

3)25x+17x=-14

4)42x=-14

5)42x/-14

6)x=-3

Which expressions are equivalent to 7(-3/4x-3)? Select two options.

Answers

Answer:

7(-3/4x-3) is the same as

7(-3/4x)-7(3) and

-5 1/4x-21

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

got 100 on the quiz

PLEASE HELP answer this and explain will mark brainliest

Answers

Answer:

7.

a) n + 1 represents the next larger integer

b) n + n + 1 + n + 2 + n + 3

c) s = n + n + 1 + n + 2 + n + 3

d) n = [tex]\frac{s-6}{4}[/tex]

e) n = 2174 - 6 / 4 = 2168 / 4 = 542

Step-by-step explanation:

Slove the following:​

Answers

Answer:

let required no be x

[tex] \frac{1}{7} = \frac{x}{42} [/tex]

by doing crisscrossed multiplication

[tex]42 \times 1 = 7 \times x[/tex]

42=7x

dividing both side by 7

[tex] \frac{42}{7} = 7x \div 7[/tex]

6=x

therefore x=6

therefore value of remaining no.is 6

Step-by-step explanation:

solution

here,

let, the required number be x

1/7=x/42

or, 42= 7x

or, x= 42/ 7

therefore, x= 6

hope this helps u...

what expression is equivalent to 3x(2+5y)​

Answers

Answer:

 x (15 y + 6) is equivalent to 3x(2+5y)​

what expression is equivalent to 6(x+2y) + 3 + 4y + 5

Answers

Answer:

what are the options?!? you should tell us so I can help

2. Find the missing variable
(2x + 5)
(x + 9)
(3x - 2)

Answers

The missing variable is 4
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