Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (2, 720)(2,720).

Answers

Answer 1

Answer:

The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].

Step-by-step explanation:

Let be an exponential function of the form [tex]y = a\cdot b^{x}[/tex] that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex]. Then, we have the following system of equations:

[tex]20 = a\cdot b^{0}[/tex] (1)

[tex]720 = a\cdot b^{2}[/tex] (2)

By dividing (2) by (1), we obtain the value for [tex]b[/tex]:

[tex]\frac{720}{20} = b^{2}[/tex]

[tex]b = \sqrt{\frac{720}{20} }[/tex]

[tex]b = 6[/tex]

And the value for [tex]a[/tex] is found by (1):

[tex]a = 20[/tex]

The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].


Related Questions

38- Blank:_____=12c+4+3c

Answers

Answer:

38-15c-4

Step-by-step explanation:

38-x=12c+4+3c

38-x=15c+4

x=38-15c-4

The Big Paint “Mix-Up”
Oh no! The painting machine has gone crazy! Can you help figure out how to
complete these batches? Set up a proportion and then solve it.
write as a prop
1. Brick Red is supposed to be 7 parts red to 2 parts light blue. If the machine
already mixed 28 quarts of red, how many quarts of light blue does it need?

2. Burnt Orange is supposed to be 2 parts red to 1 part yellow. If the machine
already mixed 24 quarts of red, how many quarts of yellow does it need?

3. Sunset Yellow is supposed to be 6 parts yellow to 1 part red. If the machine
already mixed 60 pints of yellow, how many pints of red does it need?

4. Sour Apple is supposed to be 4 parts yellow to 2 parts light blue. If the machine
already mixed 12 pints of light blue, how many pints of yellow does it need?

5. Ocean Blue is supposed to be 4 parts light blue to 3 parts yellow. If the machine
already mixed 12 quarts of yellow, how many quarts of light blue does it need?

6. Midnight Navy is supposed to be 6 parts blue to 3 parts red. If the machine
already mixed 18 blue, how many quarts of red does it need?

Answers

Answer:

1. 8 quarts of blue

2. 12 quarts of yellow

3. 10 pints of red

4. 24 pints of yellow

5. 16 quarts of light blue

6. 9 quarts of red

Evaluate. 4 1/8 – 1 3/4

Answers

Answer:

3 2/8

Step-by-step explanation:

4 1/8 - 1 3/4 =

3/4 equals 6/8

4 1/8 - 1 6/8 =

do the math

4 1/8 - 1 6/8 = 3 2/8

hope this helps! Plz give brainlyest!


[tex] - 4 \leqslant 5x + 1 < 11[/tex]
i don't know how to slove it,please answer it​

Answers

Bdhdhdhfurjfjdhdhdhdhd

Only right answers please :)

Answers

Answer:

Check out the link below

Step-by-step explanation:

https://brainly.com/question/11665146

Answer:

We know

y = 3.5x represents the cost of x pounds of raisins.

Also, cranberries costs $18 per 4 pounds

So, to graph these proportions, we have to find the equation for cranberries, if 4 pounds costs $18, that means 1 pound of cranberries is $4.50, this is the ratio of change of cranberries, using this ratio, we can say that the relation is

y = 4.5x

If you compare, cranberries are more expensive than raisins, the image attached shows both proportion graphed.

Therefore, raisins represent the lower unit price, $3.50 per pound, while cranberries represent the higher unit price, $4.50 per pound.

Answer :

well one line takes the slope of y=3.5x

The cranberries take the slope of Y=4.5x

so raisins have the lowest unit price.

What is the greatest common monomial factor of 6m3x4 + 30m5y2 + 45m3x6y2? 6m5x6y2 3m3 6m3 3m5x6y2

Answers

I’d say 6 but I could be wrong

Answer:

3m³

Step-by-step explanation:

The leading coefficiets, 6, 30 and 45 are all divisible by 3

m is the only variable present in all three terms.

m³ is a factor of m⁵

Mrs. Neville is baking five batches of cookies. She will need 2 \frac{1}{2} 2 1 ​ cups of flour for each batch of cookies. If she begins with a 20 cup bag of flour, what is the resulting change in the amount of flour in the bag?

Answers

Answer:

12.5 cups used

7.5 cups left

Step-by-step explanation:

Number of batches = 5

Cups of flour per batch = 2 1/2 cups

Initial amount of flour = 20 cup bag

After 5 batches ; number of cup used :

5 * 2 1/2 = 12.5 cups of flour

Change in amount of flour in bag :

(20 cups - 12.5 cups) = 7.5 cups

Sam put 3000 into saving it earned 6% simple interest annually after 6 years how much will Sam have

Answers

Answer:

the future value is 4,080

Step-by-step explanation:

The computation of the future value under the simple interest is shown below:

As we know that

Future value = Present value × (1 + rate of interest × time period)

= 3,000 × (1 + 6 × 6%)

= 3,000 × (1 + 0.36)

= 3,000 × 1.36

= 4,080

Hence, the future value is 4,080

what complex numbers graph is shown?​

Answers

Answer:

D.

Step-by-step explanation:

Took the test

Which equation is NOT equivalent to p- 7 = 22? Select all that apply.
A. p-p-7 = 22-p
B. p-7-p = 22 -
C. p - 7 + 22 = 22 - 7
O
D. p - 7 + 7 = 22 - 22
Ep-7 + 7 = 22 +7

Answers

Answer:

c and d

Step-by-step explanation:

i hope this help

The formula for the volume of a cylinder is V= ah, where Vis the volume, r
is the radius, and his the height. Solve the formula for r, and then use it to
answer the question.
A cylindrical bucket contains 452 cubic inches of water. The height of the
water is 4 inches.
What is the radius of the bucket, to the nearest whole number? Use 3.14 for
TT.
A. 8 inches
B. 5 inches
C. 7 inches
D. 6 inches

Answers

Answer:

volume=452in³

πr²h=452

r²=452×4/3.14=575.8

r=√575.8=23.99=24in is your answer

solve for −5(x + 4) ≥ 4x − 38

Answers

9514 1404 393

Answer:

  x ≤ 2

Step-by-step explanation:

Eliminate parentheses, collect terms, separate variable terms from constant terms.

  -5(x +4) ≥ 4x -38 . . . . . given

  -5x -20 ≥ 4x -38 . . . . . eliminate parentheses

  -20 ≥ 9x -38 . . . . . . . . add 5x

  18 ≥ 9x . . . . . . . . . . . . . add 38

  2 ≥ x . . . . . . . . . . . . . . . divide by 9

Find the y-intercept and write as a point (x, y)​

Answers

Answer:

(0,3)

Step-by-step explanation:

Answer:

The two points- (0,3) (-2,-1)

The y-intercept is (0,3)

The slope is 2

What is the VARIABLE in the expression 8p - 5?*

Answers

Answer:

p is the variable

Step-by-step explanation:

a variable is a letter that represents an unspecified number.

Answer:

p is the variable

Step-by-step explanation:

p is the variable because "p" is the only unknown

hope this helps :) have a nice day !1

I multiply three positive integers that are greater than 1 and get 333. Find one of the numbers.
those who answer first will be marked brainliest !

Answers

Answer: 3, 37

Step-by-step explanation:

Divide by 3, divide by 3 again. 37 is a prime number, so it can't be divided again after that.

isabella earned $44.00 for 4 hours of work.How much was earned per hour

Answers

Answer:

11$ an Hour because

Step-by-step explanation:

Because 4 divided by 44 = 11.

isabella earned a total of $176.00!!

Find the sum of 0.333......and 0.444....​

Answers

Answer:

0.777......

Step-by-step explanation:

0.333...... + 0.444....​..

= 0.777......

Hope it helps :)

Please mark my answer as the brainliest

Step-by-step explanation:

The sum of 0.333.... and 0.444... is 0.777......

a) Jelaskan konsep Alam Melayu.​

Answers

Answer: The Malay world or Malay realm, is a concept or an expression that has been utilised by different authors and groups over time to denote several different notions, derived from varied interpretations of Malayness, either as a racial category, as a linguistic group or as a political-cultural group. The use of the term 'Malay' in much of the conceptualisation is largely based on the prevalent Malay cultural influence, manifested in particular through the spread of the Malay language in Southeast Asia as observed by different colonial powers during the Age of Discovery.

-Your friend, Bill Cipher

Step-by-step explanation: Have a great Valentines day <3

90 / 811 = 58 / x


Answer the porportion

Answers

Answer:

x = 522.64

Step-by-step explanation:

cross-multiply:

90x = 811(58)

90x = 47,038

x = 47038 / 90

x = 522.64

An observatory is shaped like a cylinder standing on one of its bases with a dome on top. The diameter of the floor of the observatory is 64 feet, as shown in the diagram. What is the measurement of the circumference of the base of the observatory in feet to the nearest hundredths place?

Answers

Answer:

201.14 ft

Step-by-step explanation:

C = 2 π r = π d

C = [tex]\frac{22}{7}[/tex] × 64 ≈ 201.14 ft

Answer:

3215.36

Step-by-step explanation:

C=πr²

C=3.14(32)²

C=3.14(32·32)

C=3.14(1024)

C=3215.36

what is the first step to answer -3=x+5

Answers

Answer:

Step-by-step explanation:

-3=x+5

-5. -5

-8=x

Whatever the person on put

90 POINTS AND A BRAINLIEST!!!!!!



A certain rectangular prism has a height of 6 m, a length of 5 m, and a width of 4 m. Give the dimensions of a SECOND rectangular prism that will have the same surface area of the first one.




Pls dont look up the question and copy and paste the same answer either
if you do i will report you
if anyone is wondering why im so "pressed' I've had LOTS of issues with arrogant people
Thanks!


PLS DON'T ASK FOR BRAINILEST UNLESS YOU TAKE YOUR TIME AND ACTUALLY DO THE QUESTION PLEASE :((((

Answers

Answer:

The surface area is 148

Step-by-step explanation:

Soooo i had to look up how to do it cause i completely forgot how. But once i did, i worked it out.

The formula i got was: A= 2(wl+hl+hw)

W= width                 h= height           l= length

From there i just replaced the corresponding numbers for the letters that represent them. (think of that as like you see someone that you think represents you and you try to replace them, with you. Same here just w/ numbers and letters)

A= 2 [ (4x5) + (6x5) + (6x4) ]

from here you do order of operations starting with what's inside the parentheses. Then you work your way out.

A= 2 [20+ 30+ 24]

A= 2 [74]

Anytime a number is next to parentheses or brackets (which are these: [ ] ) you multiply what is outside them by what's inside them. (for this think about kids. When you seperate them, they try to make more noise. When you seperate numbers, they multiply)

Final answer is

A= 148

if this is wrong i am so, so, so sorry. I hope this helps, and i hope you have an amazing day!! Be tiger fierce! :)

A length of 5.3, a width of 7, and a height of 3.  This would give you the same surface area of 148 as the 1st one. Good luck with your studies <3

How do i find the value of x?

Answers

Subtract the sum of the two angles from 180 degrees.

Ben is three times as old as Kate. Kate is 6 years older than Jill. Jill is J years old. What is the combined age of the three people?

Answers

Answer:

the combined age of the three people  is

5 J + 24

Step-by-step explanation:

Jill (J)

Kate (J+6)

Ben 3(J+6)

J + (J+6) + 3(J+6)

J+J + 6 +3 J +18

5 J + 24

Please help quick for 25 points with explanations. Any silly and absurd answers will be reported.

Answers

Answer:

Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±[tex]\sqrt{61}[/tex])/2. So, PQ=[tex]\frac{\sqrt{61} }{2}[/tex], PQ²=[tex]\frac{61}{4}[/tex]. Thus, the answer is 61+4=65.

Step-by-step explanation:

(urgent please help!!!!)in computing the mean of 8 numbers, a student mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. find the correct mean.

Answers

i believe the correct mean is 21!

Answer: 21

Step-by-step explanation:

The student's mean of the 8 numbers is 20; the total of the numbers will be

8 x 20 = 160

If we take out the 17 the  total will be 160 - 17 = 143

If we then replace the 17 with 25 the total rises to 168.

168 divided by 8 = 21

I need help with this

Answers

Answer:

B

Step-by-step explanation:

It's B

3^5 = 243

so the 5th root of 243 is 3

(x^7)^(1/5) = x^(7/5)

(y^10)^(1/5) = 7 ^(10/5) = 7^2

z^(21)^(1/5) = z^(21/5)

PLEASE HELP ME I WILL DO ANYTHING!!!

Answers

Answer:

x=11

Step-by-step explanation:

the angles shown are supplementary so they will add up to equal 180 so we write the equation 180=5x+10x+15 and solve for x

step 1 combine like terms

180=15x+15

step 2 subtract each side by 15

165=15x

step 3 divide each side by 15

x=11

HELP DUE IN 5 MINS WILL GIVE 20 POINTS!!!!

Answers

Answer:

c is the answer i believe

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

13

Step-by-step explanation:

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