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

Answer 1

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)

The Graph Models Projected Populations, In Thousand, Of Two Towns After X Years. Both Towns Experience

Related Questions

translate & solve: 616% of what number is 4620

Answers

Answer:

250

Step-by-step explanation:

1540*100 divided by 616

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  

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

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

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

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

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

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.

What is the volume of the figure?

Answers

It’s going to be the area of the triangle on the side times the length, so 0.5 x 36 x 15 x 48 = 12960

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

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

I’m stuck please help?

Answers

Answer:

1,3,5,7,9...

Step-by-step explanation:

All of the answers go up by +2

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  

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:


Apply the distributive property to the expression 3(2 + x).

Answers

3(2+x)
3x2=6
3 x X =3x
So 3x+6
3(2+ x)
3x2=6
3 x X = 3x
So 3x+6

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:

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

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.

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

If it is a strictly math question, then yes you theoretically make three times as much as your parents. Realistically, inflation and scarcity plays a large role in the actual monetary value of the dollar making it an unfair comparison. Depends on the framework of the question. Hope this helps!

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

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

Write with a single exponent 1/10*1/10*1/10


Please help

Answers

Answer:

[tex] {10}^{3} [/tex]

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

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:

:)

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

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

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

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]

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