The graph models projected populations, in thousand, of two towns after x years. Both towns experience a 1.9% annual growth rate. Which equation represents g(x) as a translation of f(x)?
Answers
The image of the graph is missing, so i have attached it.
Answer:
g(x) = 5/3 * f(x)
Step-by-step explanation:
We want to find the equation represents g(x) as a translation of f(x).
From the graph, the y = f(x) function curve has the following observations,
- At x = 0, y = f(0) = 30
- At x = 10, y = f(10) = 36
Similarly, from the graph, the y = g(x) function curve has the following observations,
- At x = 0, y = g(0) = 50
- At x = 10, y = g(10) = 60
From those coordinates on the graph, we can see that;
f(0) = 30 and g(0) = 50
It means that for us to make g(x) as a translation of f(x), g(0) = fraction * f(0)
Fraction = g(0)/f(0) = 50/30 = 5/3
Thus;
g(x) = 5/3 * f(x)
Let's confirm with the second coordinate;
Thus;
g(10) = 5/3 * f(10)
g(10) = 5/3 * 36
g(10) = 60
This value is same as what is on graph, thus we can conclude that;
The equation represents g(x) as a translation of f(x) is; g(x) = 5/3 * f(x)
Related Questions
Write an equation in slope intercept form that is parallel to y = 3x + 4 and goes through the point (-1,5)
Answers
Answer:
Step-by-step explanation:
y - 5 = 3(x + 1)
y - 5 = 3x + 3
y = 3x + 8
answer is C
translate & solve: 616% of what number is 4620
Answers
Answer:
250
Step-by-step explanation:
1540*100 divided by 616
Sin(x)=x- x3/3!+x5/5!-x7/7!+....The percentage relative approximate error in using three terms to find sin(4.1) is ______percent.
Answers
Answer:
The answer is "239.62%".
Step-by-step explanation:
Given value:
[tex]\bold{\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!} - \frac{x^7}{7!}+....}[/tex]
Solve the first three values:
[tex]\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!}[/tex]
put the value of sin(4.1):
[tex]\to \sin(4.1)=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\[/tex]
[tex]=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\=(4.1)- \frac{68.92}{3 \times 2\times 1}+\frac{1158.56}{5\times 4 \times 3 \times 2 \times 1}\\\\[/tex]
[tex]=(4.1)- 11.48+9.65\\\\= 2.27[/tex]
The actual value of [tex]\sin(4.1) = -1.59[/tex]
Calculating the percentage relative approximate error value:
Formula:
[tex]=\frac{actual \ value - \ approx \ value }{actual \ value} \times 100\\\\[/tex]
[tex]=\frac{-1.59 - 2.27 }{-1.59} \times 100\\\\= \frac{-3.81}{-1.59} \times 100\\\\= \frac{3.81}{1.59} \times 100\\\\=239.62 \ \%[/tex]
I’m stuck please help?
Answers
Answer:
1,3,5,7,9...
Step-by-step explanation:
All of the answers go up by +2
For the function f(x)=-1/3x-2, find the value of x for which f(x)=x.
Answers
Step-by-step explanation:
f(x)=-1/3x-2=x
3x²-2x-1=o
(3x-1)(x+1)=o
x=1/3(or)x=-1
What is the volume of the figure?
Answers
Apply the distributive property to the expression 3(2 + x).
Answers
3x2=6
3 x X =3x
So 3x+6
3x2=6
3 x X = 3x
So 3x+6
Simplify (23)^–2 genuinely confused
Answers
Answer:
1/529
Step-by-step explanation:
[tex]23^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\23^{-2}=\frac{1}{23^2}\\\\23^2=529\\\\=\frac{1}{529}[/tex]
Answer:
1/529
Step-by-step explanation:
just done it on edge
what is 3.825 as a fraction with a guide?
Answers
Answer:
3 33/40 or 153/40
Step-by-step explanation:
For first answer change the decimal .825 into fraction by making it over 1000. Then Simplify. For the second answer, take the first answer, multiply 3 with 40 and add 33. In the end both answers are equivanlent.
Write with a single exponent 1/10*1/10*1/10
Please help
Answers
Answer:
[tex] {10}^{3} [/tex]
Which problem can be solved by division of decimals? How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon? What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0? Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save? Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?
Answers
Answer:
The answer is the question "Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?"
45.50 ÷ 7 = ?
As per linear equation, 4th problem can be solved by division of decimals.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
The given questions are:
1. How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon?
This problem can be solved by multiplication of decimals.
2. What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0?
This problem can not be solved by division of decimals. It requires addition and subtraction.
3. Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save?
This problem can not be solved by division of decimals. It requires subtraction.
4. Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?
This problem can be solved by division of decimals.
Learn more about linear equation here: https://brainly.com/question/17204085
#SPJ3
Help please no one helps me
Answers
Answer:
The answer would be B because Ms. Shah's class planted four more trees so you would subtract 36 by 4 to get your answer
If you parents made $4.00 an hour in 1980 and you make $12.00 an hour as a fryer technologist at Zippy burger today ,then you make three times as much as they did . yes ?NO?explain
Answers
6 cousins inherited a total of 58 of their great aunt's assets which they divided evenly what fraction of their great aunt's assets to each cousin inherit
Answers
Answer:
9 1/9 per cousin
Step-by-step explanation:
if the aunt has 58 items to be distributed to 6 cousins, we would set a fraction of 58/6. performing that is 9 with 4/6 left over.
since there is 6 cousins, there will be 2/3 divided by 6 = 2/18, or 1/9
Answer:
the answer on eduguinty is 5/48 of the inherrit .
Step-by-step explanation:
:)
Write the equation of a line that is parallel to y = 1/2 x + 5
that passes through the point (2,6).
Answers
Answer:
y = 1/2x + 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
When 2 lines are parallel, they have the same slope.
Step 1: Define variables
Random point (2, 6)
m = 1/2
y = 1/2x + b
Step 2: Find b
6 = 1/2(2) + b
6 = 1 + b
5 = b
Step 3: Rewrite parallel linear equation
y = 1/2x + 5
find the indicated angle. Round your answer to the nearest tenth. Part 2. Show work please
Answers
Answer: 5) 72.6° 6) 68.7° 7) 37.3° 8) 81.5°
Step-by-step explanation:
Law of Cosines: a² = b² + c² - 2bc · cos A
b² = a² + c² - 2ac · cos B
c² = a² + b² - 2ab · cos C
5) a = 27, b = 26, c = 20, A = ???
a² = b² + c² - 2bc · cos A
27² = 26² + 20² - 2(26)(20) · cos A
729 = 676 + 400 - 1040 cos A
729 = 1076 - 1040 cos A
-311 = -1040 cos A
[tex]\dfrac{311}{1040}=\cos A\\\\\cos^{-1}\bigg(\dfrac{311}{1040}\bigg)=A[/tex]
72.6° = A
6) a = 11, b = 13, c = 12, B = ???
b² = a² + c² - 2ac · cos B
13² = 11² + 12² - 2(11)(12) · cos B
169 = 121 + 144 - 264 cos B
169 = 265 - 264 cos B
-96 = -264 cos B
[tex]\dfrac{96}{264}=\cos B\\\\\cos^{-1}\bigg(\dfrac{96}{264}\bigg)=B[/tex]
68.7° = B
7) a = 19.2, b = 11.7, c = 16.5, B = ???
b² = a² + c² - 2ac · cos B
11.7² = 19.2² + 16.5² - 2(19.2)(16.5) · cos B
136.89 = 368.64 + 272.25 - 633.6 cos B
136.89 = 640.89 - 633.6 cos B
-504 = -633.6 cos B
[tex]\dfrac{504}{633.6}=\cos B\\\\\cos^{-1}\bigg(\dfrac{504}{633.6}\bigg)=B[/tex]
37.3° = B
8) a = 8.8, b = 12.4, c = 14.1, C = ???
c² = a² + b² - 2ab · cos C
14.1² = 8.8² + 12.4² - 2(8.8)(12.4) · cos C
198.81 = 77.44 + 153.76 - 218.24 cos C
198.81 = 231.2 - 218.24 cos C
-32.39 = -218.24 cos C
[tex]\dfrac{32.39}{218.24}=\cos C\\\\\cos^{-1}\bigg(\dfrac{32.39}{218.24}\bigg)=C[/tex]
81.5° = C
ILL GIVE YOU BRAINLIST !!! Evaluate
4x – 2m
Answers
Answer:
m = 2x
Step-by-step explanation:
Simplifying
4x + -2m = 0
Reorder the terms:
-2m + 4x = 0
Solving
-2m + 4x = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-2m + 4x + -4x = 0 + -4x
Combine like terms: 4x + -4x = 0
-2m + 0 = 0 + -4x
-2m = 0 + -4x
Remove the zero:
-2m = -4x
Divide each side by '-2'.
m = 2x
Simplifying
m = 2x
Answer:
Step-by-step explanation:
4x - 2m = 4*8 - 2*3 = 32 - 6 = 26
Point Tis on line segment SU. Given TU = 4x + 1, SU = 8, and ST = 3x,
determine the numerical length of TU.
Answers
Answer:
5 units
Step-by-step explanation:
If point T is on the line segment SU, then ST + TU = SU.
Given
TU = 4x + 1
SU = 8
ST = 3x
To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;
3x+4x+1 = 8
7x+1 = 8
subtract 1 from both sides
7x+1-1 = 8-1
7x = 7
divide both sides by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the length TU
Since TU = 4x+1
TU = 4(1)+1
TU = 5
Hence the numerical length of TU is 5 units
Sonia wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 in² how much ribbon must she by to have the exact amount that she needs
Answers
Answer:
12 in
Step-by-step explanation:
she has square pillow, so 12*12=144 sq in
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of each ingredient should you use to make 4 gallons of fruit punch?
Please help :)
Answers
Answer:
ggtr
Step-by-step explanation:
GIMME THOSE POINTS
What is p multiplied by 3
Answers
Answer:
p multiplied by 3 is 3p I'm not great at explaining but that's the answer
Answer:
3p
Step-by-step explanation:
I need help on graphic pls. Thank you
Answers
Answer:
k = 7/3
Step-by-step explanation:
Let's first find the equation of line AC. Since point A has an x-coordinate of 0, we know that point A is the y-intercept so when writing the equation of AC in slope-intercept form, we know that b = -2 in y = mx + b (Note that m = slope and b = y-intercept). To find m, we can use points A and C, therefore, m = (0 - (-2)) / (-2 - 0) = 2 / -2 = -1. Now, we know that the equation of line AC is y = -x - 2. To solve for k, we know that point B belongs to AC and that x = -k, y = 5 - 2k in point B, therefore, after plugging those values into y = -x - 2, we get:
5 - 2k = -(-k) - 2
5 - 2k = k - 2
5 - 3k = -2
-3k = -7
k = 7/3
A triangular pyramid is sliced by a plane perpendicular to its base. Draw the cross section
Answers
Step-by-step explanation:
Kindly find attached the rough sketch of the triangular pyramid and the rough sketch of it cross section.
Basically a triangular pyramid has a triangular base. when a fictitious line is made to pass through perpendicularly to the base, the cross section that will result will still have a triangular orientation but this time a smaller one compared to the original triangular orientation or sides of the pyramid
Enter the answer to the problem below, using the correct number of
significant figures.
125.6.1
Answers
Answer:
126
Step-by-step explanation:
because after point no. greater than 5 will definitely
be 1 no. more than that
The temperature in a town is 28.1 during the day and -6.5 °F at night Find the difference in the temperatures
Answers
Answer:
28.1 - (-6.5) = 34.6
Step-by-step explanation:
Subtracting a negative is the same as adding a positive. So, 28.1 minus negative 6.5 is same as 28.1 plus 6.5 and you get 34.6
Answer:
yeah it is 34.6
Step-by-step explanation:
Multiply the polynomial expressions below.
(7x + 5)(2x^3 - 4x^2 + 9x - 3)
Answers
Answer:
14x^8-18x^3+43x^2+24x-15
A teacher raised a total of $135 for school supplies. He divides the money evenly among his 10 students.
Answers
Answer:
Each gets $13.5
Step-by-step explanation:
135/10= 13.5
SoIve: -20 = -4x - 6x
x = 3.5
x = 2
x = 10
x = 4
Answers
Answer:
2
Step-by-step explanation:
-4x - 6x = -10x
Divide both sides by -10
The entire collection of individuals about which information is sought is called a
Answers
Answer: u may want to look at your vocabulary
Step-by-step explanation:
anyways: The entire collection of individuals about which information is being sought is called a. population.
the set of multiples of 8 which are greater than 20 but less than 40
Answers
Answer:the answer would be i do believe 32