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


I need help guys ASAP

Answers

I believe it’s 3 3/4 or H :)

12. Given f(x) = x - 3 and g(x) = 4x, find g(f(x)).
A. 4x -3
B. 4x - 12
C. 5x - 3
D. 3x3

Answers

It's b. 4x-12
Just put f into g

Anyone knows this one

Answers

Answer:

10 over 11

Step-by-step explanation:

Y2 minus Y1 over X2 minus X1

Answer:

10/11 or 10 over 11 rise

Step-by-step explanation:

Slope formula: (y2 - y1) / (x2 - x1)

(-20 - 0) / (-14 - 8)

(-20) / (-22)

= 10/11

Write the missing decimal so that each pair adds to 1/2 + ...= 1

Answers

Answer:

0.5

Step-by-step explanation:

1/2 + 0.5 = 1

I need help with math

Answers

Answer:

6:3

Step-by-step explanation:

Plz help me!!
I have no clue how to do this because my teacher moves to fast for me. If you can help out that would be really appreciated!!

Answers

Answer:

1. x = 65

2. x = 40

3. x = -7

4. x = -4

5. x = -7

6. x = 4

Step-by-step explanation:

Angles in a triangle always add up to 180 degrees.

Thus, for each triangle you can write an equation setting the sum of the three angles equal to 180, and solving for x.

1. 180 = 80 + 35 + x

   180 - (80 + 35) = x

   180 - 115 = x

   65 = x

2. 180 = 70 + 70 + x

   180 - (70 + 70) = x

   180 - 140 = x

   40 = x

3.  180 = 76 + 41 + (x+ 70)

    180 - (76 + 41) = x + 70

    180 - 117 = x + 70

    63 = x + 70

    63 - 70 = x

    -7 = x    

4. (the red square means its a right angle = 90 degrees)

   180 = 90 + 25 + (x + 69)

   180 - (90 + 25) = x + 69

   180 - 115 = x + 69

   65 = x + 69

   65 - 69 = x

   x = -4

5. 180 = 50 + (57 +x) + (x + 87)

   180 - 50 = (57 +x) + (x + 87)

    130 = (57 +x) + (x + 87)

  combine like terms

  130 =  144 + 2x  

  130 - 144 = 2x

  -14 = 2x

   -7 = x

6. 180 = 80 + (9x + 4) + (16x - 4)

   180 - 80 = (9x + 4) + (16x - 4)

   100 = (9x + 4) + (16x - 4)

   combine like terms

    100 = 25x + 0

    100 = 25x

    4 = x

PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST

Answers

Answer:

1,-2  | -2,7 ????

Step-by-step explanation:

Ana and her friends are decorating the gym for a dance. They need 270 balloons. The balloons are only sold un packages. Tere are 50 balloons in each package.

Answers

Answer:

Step-by-step explanation:

270 div

Wheel I has diameter 24.9 in. Wheel II has diameter 21.0 in. Round the diameter of each wheel to the nearest inch. About how much farther will Wheel I travel in one​ rotation? Use 3.14 for π.

Answers

Answer:

76

Step-by-step explanation:

because the other guy said so

Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate

Find his average speed in kilometers per hour.

Answers

Answer:

12 2/3 KMPH

Step-by-step explanation:

3 1/6 x 4 (reciprical of 1/4) = 12 2/3

The position of a particle on a straight line is given by s(t) = 3 – cos(t).
A. Find velocity and acceleration at t = 4.3 s.
Round your answers to 2 decimal(s).
v(t) =
a(t) =

Answers

Given the position function

s(t) = 3 - cos(t )

differentiate once to get the velocity, and twice to get the acceleration:

v(t) = s'(t) = sin(t )   →   v (4.3 s) ≈ -0.92

a(t) = s''(t) = v'(t) = cos(t )   →   a (4.3 s) ≈ -0.40

The acceleration is negative, so the particle is slowing down.

1) (35 + 17) + 43 = 35+ (17 + 43)

Answers

Answer:

95?

Step-by-step explanation:

30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf​

Answers

Answer:

15

Step-by-step explanation:

50 x .3

Answer:15

Step-by-step explanation:

Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.

Answers

Answer:

the 18th term is 71

Step-by-step explanation:

The general form for any term "n" in an arithmetic sequence is:

a(n) = a1 + (n-1) * d

where "d" is the common difference.

So, in our case we have:

a(n) = 3 + (n-1) *4

Therefore, the 18th term will be:

a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71

PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM

Answers

Answer: It's given in the equations.

Step-by-step explanation:

First One

f(x) = -2^x

Second

f(x) = -4(2)^x

Third

f(x) = 4(2)^x

Fourth

f(x) = 2^x

what is the square root of 36

Answers

Answer:

6 !

Step-by-step explanation:

since 6 x 6 = 36, the square root is 6 !

square root is when u multiply two same numbers for the output... so like 49 would b 7, since 7 x 7 = 49 !!

im not sure if that makes any sense, but i hope it helps !!

What is cot(ZB)?
Reduce fractional answers to lowest terms.
A
25
24
с 7

Answers

Answer:

cot∠B = 7/24

General Formulas and Concepts:

Math

Simplifying

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cotθ = 1/tanθ = adjacent over opposite

Step-by-step explanation:

Step 1: Define

Angle θ = ∠B

Adjacent Leg = 7

Opposite Leg = 24

Step 2: Find

Substitute in variables [cotangent]:                                                                 cot∠B = 7/24

What's the place value of 3 in 19.364?

Answers

Answer:

Tenths

Hope this helps :)

Answer:

tenths

Step-by-step explanation:

Division of fractions

Answers

Answer:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

Answer:

Dividing by fractions is just like multiplying fractions, except for one additional step. To divide any number by a fraction: First step: Find the reciprocal of the fraction. Second step: Multiply the number by the reciprocal of the fraction. Third step: Simplify the resulting fraction if possible.

Step-by-step explanation:

Hope this helps

Mike bakes 24 cookies for some friends. He gives the same number of cookies to 2 friends. How many cookies c does each friend receive? Write an equation to represent the number of cookies each friend receives.​

Answers

Answer:

12 cookies for both friends (assuming you don't get any)

Step-by-step explanation:

24/2=12

since you seem like a kid, that slash means divided by

There is a quadrilateral with vertices A (-4,0), B (-3, 4), C (2,6), and D (2,3).
Is this a parallelogram?

Answers

No, i didn’t feel like graphing it out but it isn’t a parallelogram. It’s a trapezoid which isn’t parallelogram

5. The daily temperature recorded (in degree F) at a place during a week was as under:
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
35.5
30.8
27.3
32.1
23.8
29.9
Find the mean temperature.​

Answers

Answer:

29.9 °F

Step-by-step explanation:

The formular for mean is given as;

Mean = Sum of Terms / Number of terms

Number of terms = 6

Sum of terms = 35.5  + 30.8  + 27.3  + 32.1  + 23.8  + 29.9 = 179.4

Mean = 179.4 / 6 = 29.9

I need help plz due in 20 min

Answers

Answer:

No, because 2(3x-5)=6x-10, and 6x-10 is not equal to 6x-8

Step-by-step explanation:

Shannon drank 1/5 cup of milk
and 3/4 cup of water. How much
did she drink altogether?
Answer


Answers

Answer:

does it have to be simpilfied? if not:   19/20

Step-by-step explanation:

Tony wants to use his savings at the end of March to buy video games. The games cost $35.75 each. How many games can Tony buy

Answers

Answer:

how much money is he saving????

Step-by-step explanation:

A bag contains tiles number 1-10. What is the probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3?​

Answers

Answer:

0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

Suppose we have two events, A and B, that are independent. The probability of both happening is given by:

[tex]P(A \cap B) = P(A) \times P(B)[/tex]

In this question:

Event A: Selecting a prime number.

Event B: Selecting a number less than or equal to 3

Probability of selecting a prime number:

Between 1 and 10, we have 4 prime numbers(2,3, 5 and 7), out of 10. So

[tex]P(A) = \frac{4}{10}[/tex]

Probability of selecting a number less than or equal to 3:

Three numbers(1,2,3) out of 10. So

[tex]P(B) = \frac{3}{10}[/tex]

Probability of both:

[tex]P(A \cap B) = P(A) \times P(B) = \frac{4}{10} \times \frac{3}{10} = \frac{12}{100} = 0.12[/tex]

0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3

i dont know this help me

Answers

Me either only god can answer that one

convert 10009 out of 17%​

Answers

Answer:

Step-by-step explanation:

To convert 10,009 to 17%, turn 17% to decimal and multiply that by 10,009 (10,009 * 0.17), which equals 1,701.53

IF you meant to convert the fraction 10,009/17% (read as "10,009 out of 17 percent, ") then simply convert 17% to a decimal (0.17) and divide 10,009 by 0.17 (10,009/0.17) which is about 58,876.47, for full decimal, use a calculator and do 10,009/0.17

The question is kind of confusing so tell me what you meant

I need the answer too all of these:

1. 7x + 1x = ?

2. 6 + 1 + 5x = ?

3. 4x + 7x + 3 - 2 = ?

4. 6x + 6 + 8 + 1x = ?

5. 7x - 7x + 2 = ?

6. 3x + 6 + 1x = ?

7. 8- 8x - 3 = ?

8. 2x - 5 + 2 =


HELP ASAPP ​

Answers

1. 8x
2.5x+7
3.11x+1
4.7x+15
5.2
6.4x+6
7.8x-11
8.2x-3
1.) 8x

2.) 7 + 5x

3.) 11x + 1

4.) 7x + 14

5.) 2

6.) 4x + 6

7.) 8x - 5

8.) 2x - 3

How much water is in a empty glass that is 10 centimeters high and has a diameter of 5 cm

Answers

Answer = 196.34ML

If the length is 10cm and the diameter 5cm then the answer would be 196.34ML or 6.63 FL Oz
If the water is in a empty glass that is 10 centimeters high and has a diameter of 5cm it would be 6.63 FL
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