The equation of the function g(x) is g(x) = 7^(3x) + 1
How to determine the function g(x)The function f(x) is given as:
f(x) = 7^x 1
When compressed horizontally by a factor of 1/3.
We have:
g(x) = f(3x)
This implies that:
g(x) = 7^(3x) + 1
Hence, the equation of the function g(x) is g(x) = 7^(3x) + 1
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Please help me one more time
Answer: 24
Yes (x-2) is a factor. There is a remainder.
Step-by-step explanation:
2³-8•2²+14•2-4
8-8•4+14•2-4
0•4+14•2-4
0+14•2-4
14•2-4
28-4
24
Hope this helps if so plz mark me brainly
10^(x-2)=1000 Show or explain your reasoning.
Answer: x=5 trust me it right
Step-by-step explanation: hope this help:D
I don’t have time to explain bc I have work to do.
-a^2+7b^4-2c^3 if a= -4 b= -2 and c=-3
Step-by-step explanation:
-(-4)²+7(-2)⁴-2(-3)³
=16+7(16)-2(-27)
=15+112+54
=181
The evaluation of the expression is 150.
What is an expression?In mathematics, expression is the combination of variables with the application of operations and prescribed rules. It might take the shape of an equation, some numbers, etc.
The given expression is:
-a² + 7b⁴ -2c³
Substituting, a= -4 b= -2 and c=-3
-a² + 7b⁴ -2c³
= -(-4)² + 7(-2)⁴ -2(-3)³
= -16 + 7 x 16 + 54
= 150
Therefore, the value of the expression is 150.
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How do you graph for the function Y= -x+1
In a recent survey of 1,000 randomly selected registered voters in the town of Armstrong, 803
are in favor of installing bicycle safety signs. Based on the survey results, approximately how
many of Armstrong's 16,092 registered voters are in favor of installing bicycle safety signs?
A. 803
B. 3,170
C. 12,922
D. 15,092
Answer:
12,922
Step-by-step explanation:
estimate = 16,092 * 803/1,000 = 12,922
an isosceles triangle has congruent sides of 20 cm. the base is 10 cm. Find the height of the triangle. Round to the nearest tenth. (Pythagorean theorem)
Answer:
The height of the triangle would be
5
√
15
c
m
or
19.36
c
m
Step-by-step explanation:
Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?
Answer: Mika rides his bike for 6 miles to his friend's house and back. The extra information is when the problem says "He leaves his house at 4 p.m." since we are talking about distance, not time.
Step-by-step explanation:
A cab company charges a $3.95 flat fee for rides up to 15 miles. For rides over 15 miles, the company charges the $3.95 flat fee and $1.25 per mile for every mile over 15 miles up to 75 miles. For rides over 75 miles the company charges a flat fee of $78.95 and $0.75 per mile over 75 miles. Using this information, write an equation that represents the total cost of the trip as a function of the number of miles traveled. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)
Answer:
There are three intervals depending on the mileage:
0 - 15 miles15 - 75 milesMore than 75 milesFor each interval we have different cost and equation
Let miles = x, cost = y, then the equations are:
0 < x ≤ 15 ⇒ y = 3.9515 < x ≤ 75 ⇒ y = 1.25x + 3.95x > 75 ⇒ y = 0.85x + 78.95Step-by-step explanation:0 - 15 miles
15 - 75 miles
More than 75 miles
For each interval we have different cost and equation
Let miles = x, cost = y, then the equations are:
0 < x ≤ 15 ⇒ y = 3.95
15 < x ≤ 75 ⇒ y = 1.25x + 3.95
x > 75 ⇒ y = 0.85x + 78.95
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
Yes
No
Maybe
Tell whether the ordered nair is a solution to the
Answer:
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
No
HELP PLEASE Find the surface area of the 3D shape.
Answer:
88 cm^2
Step-by-step explanation:
Answer:
Its totally (A) 88cm2
Step-by-step explanation:
Cause i got it right
Help plz...plz don’t steal points..
Answer:
C is the correct answer
Step-by-step explanation:
You just distribute the 5 to the following exponents.
k a i ran 3/5 of a kilometer yesterday and today he ran 6 times as far so how much did he run today
Answer:
Today, kai ran 1 3/5 kilometers.
Step-by-step explanation:
im sorry if this is incorrect.
the park is 3 miles long and 2 miles wide. manuel walked around the park two times. how many miles did he walk in all?
(im pretty sure im wrong but is the answer 12?)
Answer:
20 miles.
Step-by-step explanation:
You're on the right track with your answer of 12. You added the sides you knew & multiplied by 2.
I'm picturing the park like a rectangle. So there are two sides that are 3 miles long, and 2 sides that are 2 miles long. For perimeter, we add all the sides.
3 + 3 + 2 + 2 = 10. And he walked the park twice, so 2 x 10 = 20
describe the graphs of 3x - y = 4 and y = 3x + 2?
Answer:
3X-y=4
3x=4+y
3x-4=y
y=3x-4
Step-by-step explanation:
y=3x+2
y-2=3x
3x=y-2
x=y-2/3
I hope this answer help you
Can anyone help with condensing this?
Answer:
log 16x^7.
Step-by-step explanation:
log 4 + 2 log 2 + 7 log x
= log4 + log 2^2 + log x^7
= log (4*4*x^7)
= log 16x^7.
em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?
Answer:
Average speed in km / h = 2.7 km/h
Step-by-step explanation:
Given:
Total distance = 54,000 m
Total time = 72,000 sec
Find:
Average speed in km / h
Computation:
Average speed = Distance / Time
Average speed = 54,000 / 72,000
Average speed = 0.75 m/s
1 m/s = 3.6 km/h
So,
Average speed in km / h = 0.75 x 3.6
Average speed in km / h = 2.7 km/h
Vaughn threw the shot put 9 yards at a track meet. The official used a tape measure to measure the distance in feet. How many feet did he throw the shot put?
Answer:
27 feet
Step-by-step explanation:
There are 3 feet in 1 yard. 9×3=27
Select all sports that apply (you may select more than one). The underhand serve is used in...
Badminton
Tennis
Soccer
Pickleball
Voleybal.
Write the fraction in simplest form. *
8/12
Answer:
2/3
Explanation:
/////////////
What would the figure below look like after a reflection across the x-axis?
Please help me I can’t figure out how to solve
Answer: The answer is 20
Step-by-step explanation:
x-9.5=10.5
+9.5 +9.5
10.5+9.5=20
20-9.5=10.5
I hope this helps if so please mark brainliest
SHAYNA FREEL PLANS TO BUY $17.45 WORTH OF STATIONERY SUPPLIES. IF THE SALES TAX IS 13%, HOW MUCH WILL SHAYNA PAY?
9514 1404 393
Answer:
$19.72
Step-by-step explanation:
The sales tax is 13% of $17.45:
0.13 × $17.45 = $2.27 . . . . . . rounded (up) to the nearest cent
Then the total Shayna will pay is ...
$17.45 +2.27 = $19.72
300x + 20 + 5x + 10 -40x2 =
Step-by-step explanation:
[tex]305x + 30 - 80 \\ 305x - 50 \\ 305x = 50 \\ x = \frac{305}{50} \\ x = \frac{61}{10} [/tex]
Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them.WRITE AN EQUATION TO SHOW THE REALTIONSHIP between the independent and dependent variables?!?! ASAP I NEED ANSWER
Mike bought 46 dozen eggs from the grocery store to bake some cakes how many eggs did mike buy
Answer:
552 eggs
Step-by-step explanation:
A dozen is equal to 12
Solve:
Multiply 46 by 12
Pls help ASAP if you can please
Answer:
136
Step-by-step explanation:
to find the triangle's surface area, you do the height (4) multiplied by the base (6). Then for the rectangles, you multiply the width (5 or 6) by the length (7). Then you add up all the numbers to get your answer.
Plz help! If you can’t answer all the questions it’s ok just answer at least one but all would be great! You will get a brainly!
Answer:
1. 1.5 2. 84000 4. 3.9
Step-by-step explanation:
Find the particular solution of the differential equation?
/=5^3+9^2, when =1, =8
Answer:
[tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} - \frac{9}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Solving Differentials - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
*Note:
Ignore the Integration Constant C on the left hand side of the differential equation when integrating.
Step 1: Define
[tex]\displaystyle \frac{ds}{dt} = 5t^3 + \frac{9}{t^2}[/tex]
t = 1
s = 8
Step 2: Integrate
[Derivative] Rewrite [Leibniz's Notation]: [tex]\displaystyle ds = (5t^3 + \frac{9}{t^2})dt[/tex][Equality Property] Integrate both sides: [tex]\displaystyle \int {} \, ds = \int {(5t^3 + \frac{9}{t^2})} \, dt[/tex][Left Integral] Reverse Power Rule: [tex]\displaystyle s = \int {(5t^3 + \frac{9}{t^2})} \, dt[/tex][Right Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle s = \int {5t^3} \, dt + \int {\frac{9}{t^2}} \, dt[/tex][Right Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle s = 5\int {t^3} \, dt + 9\int {\frac{1}{t^2}} \, dt[/tex][Right Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle s = 5\int {t^3} \, dt + 9\int {t^{-2}} \, dt[/tex][Right Integrals] Reverse Power Rule: [tex]\displaystyle s = 5(\frac{t^4}{4}) + 9(\frac{t^{-1}}{-1}) + C[/tex][Right Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle s = 5(\frac{t^4}{4}) + 9(\frac{1}{t}) + C[/tex]Multiply: [tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} + C[/tex]Step 3: Solve
Substitute in variables: [tex]\displaystyle 8 = \frac{5(1)^4}{4} + \frac{9}{1} + C[/tex]Evaluate exponents: [tex]\displaystyle 8 = \frac{5}{4} + \frac{9}{1} + C[/tex]Divide: [tex]\displaystyle 8 = \frac{5}{4} + 9 + C[/tex]Add: [tex]\displaystyle 8 = \frac{41}{4} + C[/tex][Subtraction Property of Equality] Isolate C: [tex]\displaystyle \frac{-9}{4} = C[/tex]Rewrite: [tex]\displaystyle C = \frac{-9}{4}[/tex]Particular Solution: [tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} - \frac{9}{4}[/tex]
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentials Equations and Slope Fields
Book: College Calculus 10e
8 more than twice a number is greater than negative 18. Solve the inequality for the unknown number.
Answer:
x > -13
Step-by-step explanation:
Let x be the number
2x+8 > -18
Subtract 8 from each side
2x+8-8 > -18-8
2x> -26
Divide each side by 2
2x/2 > -26/2
x > -13
Answer:
x > -13
Step-by-step explanation:
Let x be the number
2x+8 > -18
Subtract 8 from each side
2x+8-8 > -18-8
2x> -26
Divide each side by 2
2x/2 > -26/2
x > -13
help plz!! Marking most Brainly :)))
Answer: A
Step-by-step explanation:
12 black cards / 20 cards in all.
20 x 5 = 100, 12 x 5 = 60