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

plz help i need help

Answers

215.4 That what I got from the calculator

Answer:

215 r 12. sorry if i am wrong

Step-by-step explanation:

i think.

help me plsss!!!!!!!!

Answers

Answer:

the answer is b

hope that helps

Find the value of x I’d appreciate if you could explain as well if not that’s fine

Answers

All the angles in a circle equal to 360 degrees. So basically just add up all the known values: 23+23+15=61 and then subtract that from 360: 360-61=299.

You can also do 23+23+15+x=360. Adding it all becomes 61+x=360, subtract 61 from both sides of the equation, and you get x=299.

(Something to help remember is that the angle is obtuse, meaning it’s automatically more than 90 degrees, hope this helps!)

Write an equation that passes through (0, 20) and (4, 80) ??

Answers

Answer:

M= 15

Step-by-step explanation:

Hope it’s right

Find the volume of the cube in inches3 below. Then select the correct units
when entering your answer.
7 in.
7 in.
7 in
Answer here
cu. cm
cu, in
sq. in

Answers

Answer:

21 cubic inches (or cu. in)

Step-by-step explanation: Multiply 7 by three

hi waht is m⁵×m⁴ in algebra maths​

Answers

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]

Max makes a scale drawing of the distance between Salt Lake City and Arizona. The distance between Salt Lake City and Arizona is 21 cm on the scale drawing. If each 7cm on the scale drawing equals 250 kilometers, how far apart are they actually?

Answers

Answer:

Actual distance = 750 km

Step-by-step explanation:

Given:

Scale drawing of distance = 21 cm

Scale ; 7 cm = 250 km

Find:

Actual distance

Computation:

Actual distance = 21[250/7]

Actual distance = 3[250]

Actual distance = 750 km

PLZ HELP IM BEGGING

Answers

Answer:

-x+y= -14 (get this equation to where you can easily plug it in for a variable)

y= x -14

5x +6y =26 (plug the value above in for y and then solve)

5x + 6 (x-14) = 26 (use the distributive property)

5x +6x - 84 = 26 (combine like terms on the left side)

11x - 84 =26 (add 84 to both sides)

11x = 110 (divide both sides by 11 to isolate the x-variable)

x= 10 (this is the value for x. plug it into the easier equation and solve)

-(10) +y = -14

y= -4

(10, -4) (this is the solution for the system of equations)

Help quick!!!

What is the distance between the following points:

A ( 25,20 ) B ( 5, 20 )

Answers

Answer:

(20,0)

Step-by-step explanation:

I think that's it sorry if I am wrong:(

Find the difference.
-3.4 -(-1.9)

Answers

Answer:

The answer is -1.5.

Step-by-step explanation:

-3.4 - (-1.9)

-3.4 + 1.9

-1.5

-1.5


Please mark me BRAINLEST

Find the value of 48 - 32 ÷ 4 · 2

Answers

Answer:

=48-8×2

=48-16

=32

Hope it helps you..

Answer:

32

Step-by-step explanation:

p.e.m.d.a.s

-32/4= -8

-8 times 2= -16

48-16=32

help???????
dhdjdjmsjd​

Answers

Answer:

1/2 over 7/8

Step-by-step explanation:

becauseim smartt

Answer:

the bridge is 90ft long.

Step-by-step explanation:

3/18=15/x

solve for x

use reciprocals to get x as numerator for easier calculation

18/3=x/15

270/3=x

x=90ft



Tell me the solution
[tex]4 \times 100 \\ \div 7[/tex]

Answers

57.1428 is the answer

Step-by-step explanation:

4×100=400

400÷7=57.14......

hope it helps!

have a great day :)

write a expression that represents the height of a tree that begins at 8 feet and increases by 2 feet per year. Let t represent the number of years. How tall will the tree be in 5 years?​

Answers

Answer:

8 + 2t

In five years, 18 feet

Answer:

8 + 2(t)

Step-by-step explanation:

8 is the initial height of the tree, and 2 represents the growth per year, and each year is calculating by represnting each year as (t), so

ex.

2 years pass

8 + 2(2) = 8 + 4 = 12ft

2ft per year, 2 years = 4

An airplane begins decreasing its altitude as it approaches the runway. At time t=1, the pilot notes that he has an altitude of 30,000 feet. One minute later, his altitude drops to 29,450 feet. One minute after that, his altitude drops to 28,900 feet. Assuming this pattern continues, write a recursive formula for the altitude of the plane A(t) after t minutes.(1 point)

A(t)=30000+550(t−1)

A(t)=A(t−1)−550 for t>1, where A(1)=30000

A(t)=A(t−1)+550 for t>1, where A(1)=30000

A(t)=30000−550(t−1)

Answers

4th one btw I was a prospect elite on Brainly but I got banned

Answer: i think A(t)=30000−550(t−1)

Step-by-step explanation:

Does (3,4) satisfy the equation-5x + 2y = 23?

Answers

Answer:

[tex] - 5x + 2y = 23 \\ when \: \: x = 3 \: and \: y = 4 \\ = - 5(3) + 2(4) \\ = - 15 + 8 \\ = 7 \\ no \: it \: doesnot \\ \\ \\ if \: equation \: is \: 5x + 2y = 23 \\ = 15 + 8 \\ = 23 \\ hence \: it \: satisfies[/tex]

Evaluate the expression 3.5* when x is 2.

Answers

Answer:

It is 7

Step-by-step explanation:

3.5 times two is seven

How do I do this I don’t get it at all

Answers

Order pairs (x,y)
A,(4,1)
B(-1,3)
C(-7,-4)
D(3,-2)
E(0,8)

Answer and Step-by-step explanation:

You're told to find the ordered pair of point E.

E is found on the y-axis.

If you count upwards 8 units, you will see that point E is there.

So, Point E is at the coordinate (0, 8), where 0 represents 0 units on the x axis, and 8 represents 8 units up on the y axis.

#teamtrees #WAP (Water And Plant)

.............Pls answer this

Answers

Answer:

The length is 6.875 (6.9) ft, the width is 5 ft, and the area is 34.375 (34.5) [tex]ft^{2}[/tex]

Step-by-step explanation:

If the scale is 4 in to 5 ft, we can simply divide 5 by 4 to find out the scale by which we would multiply one inch. The reason it is 5/4 and not 4/5 is because 5 ft > 4 in. 5/4 = 1.25. 1.25 * 5.5 = 6.875. When rounded to the nearest tenth, it is 6.9. Using the same measurement NOT rounded, it is 34.375, but using the rounded value the answer is 34.5 sqft.

Hope I helped! Also, if this is wrong someone please correct me.

The expression x3 – 64 can be written as (x)3 – (4)3. What is the factorization of x3 – 64?

a3 – b3 = (a – b)(a2 + ab + b2)

A. (x – 4)(x2 + 4x + 8)
B. (x – 4)(x2 + 4x + 16)
C. (x – 64)(x2 + 64x + 16)
D. (x – 64)(x2 + 64x + 4,096)

Answers

Answer:

B

Step-by-step explanation:

(x - 4) because a = x and b = 4, subsitute into (a - b)

(x2 + 4x + 16) because if a = x and b = 4, you subsitute them into (a2 + ab + b2) to get your answer

the ratio of the measures of the side lengths of a quadrilateral is 2:3:5:4. the perimeter is 154 feet. find the length of the shortest side.

Answers

God is with you have faith and he will come through for you

The company that owns the telescope gives a discount of $8 off the rental fee for every rental hour after the first two hours. The team of three astronomers will rent the telescope for 5 hours.

A company interested in the astronomers' research has agreed to pay for 40% of the telescope rental costs. If the astronomers divide up the remaining costs evenly, how much will each of them pay for the 5 hours of rental time?

Answers

Answer:

20

Step-by-step explanation:Please give me a brainly

Write an integer that represents spending $40

Answers

Answer:

-40

Step-by-step explanation:

you are subtracting 40.

How many 3/4 are in 8?

Answers

Answer:

6, i think

Step-by-step explanation:

Answer:

2

3/4 + 3/4= 6/4 which goes into 8 twice

Evaluate \dfrac p4 +pq
4
p+pqstart fraction, p, divided by, 4, end fraction, plus, p, q when p=8p=8p, equals, 8 and q=6q=6q, equals, 6.

Answers

Answer:

4

Step-by-step explanation:

Answer:

its 50

Step-by-step explanation:

is this a function? pls help

Answers

Answer:

It would be no

Is y=-3x^2+10 a function? Justification?

Answers

I think a function but i am not sure

Please help me solve this question and understand it. It is urgent

Answers

You multiply 14,000 by 0.06 because that’s the yearly profit they make. Than u multiply that by 10 and than you add the starting 14,000

Kai can walk 2 miles in a half of an hour. How far will he walk in 2 hours?

Answers

Answer:

Kai will walk 8 miles

Step-by-step explanation:

Have a gr8 day!

This year is snowed on five of the 12 Days of Christmas! The snowfall amounts were 2
inches, 5 inches, 3 inches, 1 foot and 9 inches. What was the mean amount of snow for
the 12 days? Round your answer to the nearest

Answers

Answer:

Itz 35 i tink

Step-by-step explanation:

umm i god at mafh

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