Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 288)(2,288).

Answers

Answer 1

Answer:

[tex]y = 18*4^x[/tex]

Step-by-step explanation:

We want an exponential equation in the following format:

[tex]y = ab^x[/tex]

Point (0,18):

This means that when [tex]x = 0, y = 0[/tex]. So

[tex]y = ab^x[/tex]

[tex]18 = ab^0[/tex]

[tex]a = 18[/tex]

So

[tex]y = 18b^x[/tex]

Point (2,288):

This means that when [tex]x = 2, y = 288[/tex]. So

[tex]y = 18b^x[/tex]

[tex]18b^2 = 288[/tex]

[tex]b^2 = \frac{288}{18}[/tex]

[tex]b^2 = 16[/tex]

[tex]b = 4[/tex].

So

[tex]y = 18*4^x[/tex]


Related Questions

Help pls.......asap i have 2 minuets

Answers

Answer:

It would be 3 1/2!

Step-by-step explanation:

Because it is X by Y (Usually) AKA bottom row to side row so, it is in the middle of 3 and 4 so it would be 3 1/2!

Answer:

( 3, 3.5) or 3 1/2

Step-by-step explanation:

The cordinate is ( 3, 3.5) but if it has a fraction form like your question had all you want to do is convert 3.5 into a fraction. 3.5 into a fraction is 3 1/2 the 0.5 becomes 1/2 and the 3 is a 3. So the answer is 3 1/2 or ( 3, 3.5).

HMP is isosceles triangle with base MP, also NP⊥OM and NM = OP Name the postulate or theorem you can use to prove NHM = OHP

Answers

Answer:

HL theorem

Step-by-step explanation:

since NP⊥OM, so, L H is a right angle.

and NM = OP as hypotenuse

HL theorem

NP is perpendicular to OM

<NHO=90°

NM =OP given

So the triangles are congruent

The school that Emily goes to is selling tickets to the annual dance competition.

On the first day of ticket sales the school sold 3 senior citizen tickets and 14 child tickets for a total of $145.

The school took in $178 on the second day by selling 6 senior citizen tickets and 14 child tickets.

Find the price of a senior citizen ticket and the price of a child ticket.

Answers

Answer:

price for senior citizen is $11

price for child ticket is $8

Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.

annual premium: $
quarterly premium: $

Answers

Answer:

Annual premium = $1,500 per year

Quarterly premium = $375 per quarter

Step-by-step explanation:

Given:

Insured amount of term insurance plan = $15,000

Number of year = 10 year

Find:

Annual premium

Quarterly premium

Computation:

Annual premium = Insured amount of term insurance plan / Number of year

Annual premium = $15,000 / 10

Annual premium = $1,500 per year

Quarterly premium = Insured amount of term insurance plan / Number of quarter in 10 year

Quarterly premium = 15,000 / (10 x 4)

Quarterly premium = 15,000 / 40

Quarterly premium = $375 per quarter

Please answer the question correctly with factual information for brainliest.

Answers

Answer:

4.5

Step-by-step explanation:

[tex]4= \sqrt[3]{64}\\5 = \sqrt[3]{125}[/tex]

[tex]\sqrt[3]{100}[/tex] is in between [tex]\sqrt[3]{64} \\[/tex] and [tex]\sqrt[3]{125}[/tex] so that means that the answer is between 4 and 5 so the best answer is 4.5.

Use two unit multipliers to convert 4000 square inches to square feet.

Answers

Answer:

(4000 in^2) * (1 ft/12 in)^2 = 27 7/9 ft^2

Step-by-step explanation:

4,000 Square Inches =

27.777778 Square Feet

plz help me 5th grade work

Answers

Answer:

8 AND 12

Step-by-step explanation:

MAURICE 8

MIRANDA 12

Maurice 8

Miranda 12

A BIT OF HELP HERE- PLEASEE

Answers

Answer:

Solution given:

G=-17

H=5

distance =-17-5=-22

since distance is always positive so

distance between GH: 22 units.

Location

G=-17H=5

Find distance

|-17-5||-22|22units

solve the system by substitution -4x+3y=-2 y=x-1

Answers

Answer:

Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2

-4x+3x-3=-2    

-x-3=-2

-x=1

x=-1

Step-by-step explanation:

Answer:

x = -1

y = -2

Step-by-step explanation:

If you look at the second equation, y is already isolated for us:

y = x - 1

so all we need to do is plug in the value for y into the first equation:

-4x + 3(x - 1) = -2

Next all we do is algebra:

[distribute] -4x + 3x - 3 = -2

[condense] -1x - 3 = -2

[add] -1x = 1

[divide] x = -1

Now that we have the value of x, we can use it to find y by plugging it in to either equation.

y = x - 1

[plug in] y = -1 - 1

[condense] y = -2

Answers: x = -1, y = -2

Write at least three expressions that are equivalent to 3(2x - 5)

Answers

Answer:

6x - 15

6x - (5 · 3)

(3 · 2x) - 15

So, for #1, we can just simplify 3(2x - 5) to get another expression:

3(2x - 5),

6x-15

For the next one, we could make a new equation that equals 6x-15:

(3x)+(3x)+(5 *-3)

Then for the last one, how about rewrite it so all of the values are inversely negated?

3(2x - 5),

-3(-2x +5)

February has 28 days. It rained on [tex]\frac{3}{4}[/tex] of the days in February. What was the total number of rainy days during this month?

Answers

Answer:

21

Step-by-step explanation:

28x3/4

21 because if you find half of 28 which is 14 and that is 2/4 and 1/4 equals 7 so just add 14 plus 7.

Anyone can solve this for me thx

Answers

Answer:

16

Step-by-step explanation:

Consider this expression (x+9)(x-2)-9×_6
What expression is equivalent to the given expression

Answers

Answer:

x^2 -2x-24

Step-by-step explanation:

Answer: (x+4)(x-6)

Step-by-step explanation: Plato Answer

find 5 consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of two numbers

Answers

Answer:

The five odd numbers are:

23, 25, 27, 29, and 31

Step-by-step explanation:

A random odd number is written as:

2*n + 1

Where n is an integer.

Then 5 consecutive odd numbers will be:

2*n + 1

2*(n + 1) + 1

2*(n + 2) + 1

2*(n + 3) + 1

2*(n + 4) + 1

Now we want that the sum of the first 3 numbers to be 15 greater than the sum of the two last numbers, then:

(2*n + 1) + (2*(n + 1) + 1) + (2*(n + 2) + 1) = 15 + (2*(n + 3) + 1) + (2*(n + 4) + 1)

Now we just need to solve this for n:

(2*n + 1) + (2*n + 3) + (2*n + 5) = 15 + (2*n + 7) + (2*n + 9)

6*n + 9 = (15 + 7 + 9) + 4*n

6*n - 4*n = 15 + 7 + 9 - 9

2*n = 15 + 7 = 22

n = 22/2 = 11

Then the five numbers are:

(2*11 + 1) = 23

(2*(11 + 1) + 1) = 25

(2*(11 + 2) + 1) = 27

(2*(11 + 3) + 1) = 29

(2*(11 + 4) + 1) = 31

A translation is applied to the triangle formed by the points A (-1,4), B(-1,10), and C(3,6). The image is the triangle that has vertices. A’(3,4), B’(3,10), and C’(7,6).

The triangle was translated…

The answers:

4 units to then left

4 units up

4 units to the right

4 units down


Answers

4 units up i believe

A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Below is a computer output for linear regression of amount of fertilizer versus yield for the 10 plots of land.

Predictor Coef SE Coef T P
Constant 10.100 0.7973 12.67 0.000
Fertizer 1.50 0.1879 6.12 0.000

S= 0.8404; R-Sq= 82.4% R-Sq(adj) = 80.28%

Required:
What is the equation of the least squares regression line from this sample?

Answers

Answer:

Y = 10.1 + 1.50x

Step-by-step explanation:

From the data contained in the computer output for linear regression

The coefficient of intercept = 10.1

coefficient of fertilizer = 1.50

Sample of an Equation of least squares regression line

y = a + bx

where : a = intercept , b = slope

hence the required equation will be

Y = 10.1 + 1.50x

y = yield , x = fertilizer

Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66

Answers

Answer:

B)

Step-by-step explanation:

x+36=102

x=102-36

x=66

Therefore, substitute x in your formula for x+14

66+14

I need help please urgent

Answers

Answer:

its ok don't worry

Step-by-step explanation:

its a mental answer

Which is the graph of f(x) = 3x?

Answers

Answer: (0,0) (1,3)
Step by step:
Rewrite the function as an equation- y=3x
Use slope intercept form to find slope and y-intercept. Slope: 3; Y-Intercept:0,0

helppppp! how do I find this?

Answers

Answer:

y=3x-6

Step-by-step explanation:

(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.

(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.

Plugging in the two points from the graph.

Hence, y=3x-6

WILL MARK BRAINLIEST!!!!!
In A ABC, AB= 6 cm, AC= 15 cm, and mZA= 48°
What is the area of A ABC?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
cm?

Answers

Answer:

33.44 cm²

Step-by-step explanation:

sorry if incorrect

what is 3 /8 times 4/7 in simplest form

Answers

Answer:

3/14

Step-by-step explanation:

Pam says that the temperature of liquid drops more in the first three minutes of cooling then it does between time nine minutes and time 12 minutes. Is pam correct give a reason for your answer

Answers

Answer:

Pam is correct!

Step-by-step explanation:

Pam is correct it would be between nine minutes and 12!

the product of 6 less than a number and 4 more than the
number

Answers

Answer:

(x-4)(x+8)

Step-by-step explanation:

HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD

Answers

I think that the answer is A.

A training field is formed by joining a a rectangle and two semicircles, as shown below. The rectangle is 89 m long and 69 m wide. What is the length of a training track running around the field? (Use the value 3.14 for {pi symbol}, and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

I have no clue this queshtion seems pretty hard.

A study is done to find the 95% confidence interval for the difference in means between the ACT scores between two schools in a given city. One school had a random sample of 39 students had a sample mean of 25.90 with a sample standard deviation of 3.49. The second school had a random sample of 37 students had a sample mean 27.70 with a sample standard deviation of 2.47. What is the lower bound of the 95% confidence interval for the difference in means

Answers

Solution :

95% confidence interval for the difference between the means of ACT scores between two schools, is given by :

[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]

[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]

[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]

[tex]$n_1=39, \ \ n_2=37$[/tex]

M.E. , Margin of error,

[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]

[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]

  [tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]

 = 9.222

s = 3.03

[tex]$t_{74,0.05} = 1.99$[/tex]

[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]

        = 1.4

Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]

                              = [-3.2, -0.4]

Therefore, the lower bound is -3.2

g(x)=2x
h(x)=4x-3
Find (g-h)(2)

Answers

Answer:

-1

Step-by-step explanation:

g(x) = 2x

h(x) = 4x - 3

(g - h)x = g(x) - h(x)

g(x) - h(x) = 2x - 4x + 3

g(2) - h(2) = 2*2 - 4*2 + 3

g(2) - h(2) = -4 + 3

g(2) - h(2) = - 1

The factors 11 and 12 are a factor pair of 137.
O A. True
B. False

Answers

Answer:

False

Step-by-step explanation:

[tex] \star \sf \: \frac{137}{11} = 12.4 \\\sf \star \: \frac{137}{12} = 12.4[/tex]

False hope this helps

Solvex2
- 4x=21
using the zero product property.

Answers

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

-TheUnknownScientist

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