For problems a - d, write the function in the form LaTeX: y=ab^x. y = a b x . a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 c) LaTeX: y=8^{x+2} y = 8 x + 2 d) LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}}

Answers

Answer 1

Step-by-step explanation:

To write the equation in LaTeX in form y = ab^x  or [tex]ab^x[/tex] for y = abx .........(1)

(a) LaTeX: y=3\sqrt{4^{2x}}  y = 3 4 2 x can be written in mathematical form as

[tex]y=3\sqrt{4^{2x}}[/tex] ; y = 342x

on comparing with equation (1) we get a =3 and b =4

⇒y = 34^x or [tex]34^x[/tex]

(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as

[tex]y=\frac{\sqrt[3]{5^{3x}}}{2}[/tex] ; y = 342x

on comparing with equation (1) we get a =0.5 and b =5

⇒y = [tex]\frac{1}{2}5^x[/tex]

(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as

[tex]y=8^{x+2}[/tex]

on comparing with equation (1) we get a =64 and b =8

y = [tex]64 . 8^x[/tex]

(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}}  can be written in mathematical form as

[tex]y=\frac{3^{2x+1}}{\sqrt{3^{2x}}}[/tex] = [tex]3^{x+1}[/tex] = [tex]3 . 3^x[/tex]

on comparing with equation (1) we get a =3 and b =3

y = [tex]3 . 3^x[/tex]


Related Questions

The black graph is the graph of y=f(x). Choose the equation for the red graph.

Answers

Answer:

y-1 = f(x)

Step-by-step explanation:

Here, we want to choose the equation for the ref graph

The red graph as we can see is above the black

This means it is more positive

The difference between the two is just 1 unit

By the addition of 1 to the y-value of the black graph, we get the red

Thus, we have that;

y- 1 = f(x)

help me ples kskskskskskksks

Answers

Answer:

23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

[2 × (24 ÷ 3)] + 7

Step 2: Evaluate

[Brackets] (Parenthesis) Divide:          [2 × 8] + 7[Brackets] Multiply:                              16 + 7Add:                                                      23

Answer:

→ [2 × 24/3] + 7

Divide 24 by 3 we get 8 as the product:

→ [2 × 8] + 7

Now, multiply 8 by 2 we get product as 16 :

→ 16 + 7

Let's add the 16 and 7 and we get final answer as :

→ 23

Two groups were asked about the number of times
per week they exercise. Compare the groups
using the median and range...
Group 1: 6, 0, 3, 3, 1, 0, 1, 7
Group 2: 4, 5, 3, 2, 2, 6, 3, 3
phs
3
ables

Answers

Answer:

down below:)

Step-by-step explanation:

group 1            group 2

median:  1       median: 3    

range: 6          range:4

what is the least common multiple of 7 and 12

Answers

Answer:

it is 84

Step-by-step explanation:

the least common multiple of 7 and 12 is 84. i have no step by step explanation...sorry

The least common multiple of 7 and 12 is 84.

What is HCF?

The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We have to determine the least common multiple of 7 and 12

⇒ 7×1 and 2×2×3×1

So the least common multiple of 7 and 12 is

⇒ 7×2×2×3×1 = 84.

Therefore, the least common multiple of 7 and 12 is 84.

Learn more about the highest common factor here:

https://brainly.in/question/3803222

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WILL MARK BRAINLIEST!


(6.2x10^17) + (1.2x10^15)
__________________
(4x10^-6)

Answers

1553x10^20

Or with the alternative form:

1.553x10^23

what is 9741 divided by 45

Answers

Answer:

216.466666667

Step-by-step explanation:

I ALREADY ASKED THIS QUESTION BUT SINCE NO ONE ACTUALLY HELPED ME IM ASKING AGAIN BC I REALLY NEEDA TURN IT IN SO PLEASEEE HELP!!

A 20 foot ladder is placed against a wall at a 75 degree angle with the ground. The wall is perpendicular to the ground.

PART A: How high on the wall, in feet, will the ladder reach? Round your answer to the nearest tenth. Show your work.

PART B: What is the distance, in feet, from the wall to the base of the ladder? Show your work.

Answers

Answer:

A. 19.3ft     B. 5.2ft

Step-by-step explanation:

So the ladder leaning against the wall forms a triangle. The hypotenuse of

triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.

Sine of Angle is opposite side/hypotenuse

Cosine of Angle is adjacent side/hypotenuse

so     Sine of 75 degrees  =  Wall height/20

Wall height = 20 times Sine of 75 degrees

Sine of 75 degrees = .9659

20 times (.9659) = 19.3ft

So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)

Cosine of 75 degrees  = Distance wall to base of ladder / 20

Cosine of 75 degrees = .2588

20 times (.2588) = 5.2ft

What is the sum of (4s+3)+(2s+1)

Answers

Answer:

Step-by-step explanation:

4s+3+2s+1=6s+4

what is 5x2x9x6x7.........WILL MARK BRAINLEIST!!!!!!1

Answers

Answer:

3780

Step-by-step explanation:

just do the math it isn't that hard broski

Simon is creating the clay structure shown below. Simon has boxes of clay that each contain 200 of clay. How many boxes of clay does Simon need to open to make the sculpture? A. 3 B. 4 C. 5 D. 6

Answers

Answer:

D.6

Step-by-step explanation:

What is the salesperson's commission on a $600
sale if the commission rate is 30%?
A $18
B $18,000
C $180
D$618

Answers

Answer:

it would be 180 dollars.

Step-by-step explanation:

as you do 30 percent of 600 dollars

I CANNOT DO THIS, PLEASE HELP! :D

Answers

Answer:

F = k/d^2

Step-by-step explanation:

We can see from the question that the force of attraction F is proportional to the inverse of the square of the distance separating the bodies, d.

So we have;

F α 1/d^2

So,  introducing a constant of proportionality k,

F = k/d^2

Hence the formula connecting F and d is; F = k/d^2

I need help for this math question

Answers

Answer:

13= hypotenuse

12=adjacent

5=opposite

Evaluate -31-8+31−31−8+31minus, 31, minus, 8, plus, 31.

Answers

Answer:

-24

Step-by-step explanation:

- 24

-8 -31 -8 + 31 - 31 -8 + 31

-8 -8 - 31 - 8 - 31

-8 -8 -8

-24

what is one and one so easy if you answer it correctly I will mark you brainiest​

Answers

Answer:

2

Step-by-step explanation:

If you have 1 apple and another one you have 2.

HOPE THIS HELPED

20 POINTS!
Which estimate best describes the area under in square units?

Answers

did you get it yet or

I NEED HELP PLEASE ANSWER

Answers

Answer:

C

Step-by-step explanation:

T-shirts & More Print Shop will print any image on a coffee mug for a cost of $2 per mug
and a one-time charge of $12 to set up the mug design. You Say It, We Print It will print
any image on a mug for a cost of $5 per coffee mug and no set-up fee. Which
inequality shows when T-shirts & More Print Shop will cost more than You Say It, We
Print It?

a) 2 + 12m > 5m
b) 2m + 12 < 5m
c) 2m + 12 > 5m
d) 2m < 5m + 12

Answers

Answer: c

Step-by-step explanation:

ILL GIVE BRAINLIEST ! Choose all the expressions that are equivalent to 3(2 + 11) *

32 + 311
3(2) + 3(11)
3(2) + 11
6 + 11
6 + 33
3 + 22

Answers

Answer:

6+33 and 3(2)+3(11) are the correct answers.

Step-by-step explanation:

12 points
Add 1.5 x 10^7 to 2.7 x 10^9.

Answers

Answer

259000000

Step-by-step explanation:

distributive property -8(1+5m)

Answers

Answer:

im pretty sure that it is -48 there is a chance im wrong

Step-by-step explanation:

.

I Drive 89 miles in 3 days what is my rate of miles to the amount of days I drove​

Answers

Answer:

29.666...

Step-by-step explanation:

Answer:

29. Remainder: 2/3

Step-by-step explanation:

89/3 = 29.6666.

In the figure below, the segments overline RS and overline RT are tangent to the circle centered at Given that OS = 3.6 and RT = 4.8 , find OR

Answers

Answer:

RS = 4.8

OT = 3.6

From the Pythagorean Theorem we know:

OR^2 = ST^2 + OT^2

OR^2 = 4.8^2 + 3.6^2

OR ^2 = 23.04 + 12.96

OR^2 = 36

OR = 6

Step-by-step explanation:

x is a negative integer which is the largest
7x+4
x-4
5x
-5x

Answers

Answer:

-5x

Step-by-step explanation:

Remember, if you multiply a negative number by a negative number, you will get a positive number, and positive numbers are greater than negative numbers. In this case, if I were to multiply each of these expressions with -1, I would get the following:

7(-1)+4=-3

-1-4=-5

5(-1)=-5

-5(-1)=5

And I'm sure you can imply how these values will correspond to other negative values. Basically, the last expression gives us a positive answer, which is larger than the others (which give a negative answer).

-5x will be the largest among the options since x is the negative integer.

What is a negative integer?

On the number line, a negative integer is an integer that is to the left of zero. It is not equal to zero.

Given, x is a negative integer, all given options will become negative except " -5x".  written with a minus sign. a number smaller than zero, but not a fraction or a decimal fraction.

Since for any value of x, all the given options will be negative.

Therefore, Due to the fact that x is a negative integer, -5x will be the largest selection.

Learn more about negative integers here:

https://brainly.com/question/6909050

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I need help solving this practice question ​

Answers

[tex]3x-9=45\\3x=45+9\\3x=54\\x=18[/tex]

Fun fact

Bananas are curved because they grow towards the sun ☀️

Answer: the answer is 18

Step-by-step explanation:

A. 32

D. 41

C. 25

D. 49

E. 53

Answers

Answer:

I believe the answer is B.

In Ms. Price's class, students were asked to name the sport that they watch most often on
television
8 students named baseball,
7 students named football,
5 students named basketball,
What is the ratio of the number of students who watched basketball most often to the total
number of students? *
11 point

Answers

Answer:

The ratio of number of students who watched basketball most often to the total number of students is 5 to 20 or 5:20

Step-by-step explanation:

Because 5 students named basketball as the spot the watch most often on television, while 8 of them said baseball and 7 said football. To find the total numbers of students we have to add all the students together so 8 + 7 is 15 and 15 + 5 is 20.

Hoped this help :)

HELP HELP PLSSSSSSSS NOBODY ANSWERS ANYMORE!!!

Answers

Answer:

A im guessing sorry if wrong hope i help

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find a solution for
-2/9 = 4/m

Answers

I think its -18

Step-by-step explanation:

-2/9 = 4 /m

-2 ×-2 = 4

so you would do the same to the bottom

9 ×-2 = -18

sorry if I'm wrong

The Original Price of an item is $150.00. It is on sale for 30% off. You also have a store coupon for 10% off of the sale price. What will you pay?

Answers

30% + 10% = 40% off
150 * 0.40 = $60 off
150 - 60 = $90
Solution: you pay $90

Answer:

$94.50

Step-by-step explanation:

150 x .30 = 45, so you can $45 off.

105 x .1 = 10.5 so you can take another $10.50 off.

The final price would be $94.50

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