Answer:
y=3/5x + 1
Step-by-step explanation:
It says to translate UP 5 units, meaning the constant of -4 is the one being affected. The translation of 5 units is +5 on the graph, so -4+5=1. Everything else should be the same if i'm correct so y=3/5x + 1 is the answer
The manufacturer's suggested retail price (MSRP) for a particular car is $25,425, and it is expected to be
worth $11,730 in 5 years.
(a) Find a linear depreciation function for this car.
(b) Estimate the value of the car 7 years from now.
(c) At what rate is the car depreciating?
(a) What is the linear depreciation function for this car?
(Simplify your answer. Do not include the $ symbol in your answer.)
Answer:
(a) The linear depreciation function of the car which gives the worth of the car y after a number of years, t is given as follows;
y = 25,425 - 2,739 × t
(b) The value of the car 7 years from now is $6,252
(c) $2,739 per year
Step-by-step explanation:
The manufacture's suggested retail price (MSRP) for the car = $25,425
The amount the car is expected to be worth in 5 years = $11,730
(a) The linear depreciation is given as follows;
[tex]Depreciation \ Per \ Year \ = \dfrac{Cost \ of \, Asset - Salvage \ Value}{Life \ of \, Asset \ in \ use}[/tex]
Where;
Cost of Asset = $25,425
Salvage Value = $11,730
Life of Asset in use = 5 years
We get;
[tex]Depreciation \ Per \ Year \ = \dfrac{\$ 25,425 - \$11,730}{5} = \$2,739/year[/tex]
Therefore, the linear depreciation function, can be written as follows;
y - 25,425 = -2,739×(t - 0)
y = -2,739·t + 0 + 25,425 = 25,425 -2,739·t
y = 25,425 - 2,739 × t
Where;
y = The expected worth of the car after a given number of years
t = The number of years used for the calculation of the depreciation
(b) The value of the car 7 years from now is given by substitution as follows;
Whet t = 7, we have;
y = 25,425 -2,739·t = y = 25,425 -2,739 × 7 = $6,252
The value of the car 7 years from now = $6,252
(c) [tex]Depreciation \ Per \ Year \ = \dfrac{\$ 25,425 - \$11,730}{5} = \$2,739/year[/tex]
The car is depreciating at a rate of $2,739 per year.
Use area of squares to visualize Pythagorean theorem
The diagram shows a right triangle and three squares. The area of the largest square is 55 units.
Answer:
A. 12 and 43
Step-by-step explanation:
Pythagorean theorem is given as = [tex] a^2 + b^2 = c^2 [/tex]
Where, a and b are the two legs of the right triangle, while c is the hypotenuse/longest leg of the triangle.
In the figure given, the side of the largest square = the hypotenuse of the triangle = c
While the side of the other squares = a and b respectively, of the triangle.
Area of square = s², where s is the side length of the square.
Since we are given that the area of the largest square = 55, this is also equivalent to c² in the Pythagorean theorem.
The side length of the largest square = √55 ≈ 7.4 = c
Therefore, to determine the area of the other squares, check the options given if they add up to give 55.
Option A: 12 + 43 = 55
Option B: 14 + 40 = 54
Option C : 16 + 37 = 53.
The correct possible areas of the smaller squares would be A. 12 and 43.
half of your baseball cards collection got wet and was ruined. you bought 19 cards to replace some that were lost. how many did you begin with if you now have 45.
Answer:
38 cards
Step-by-step explanation:
Assuming that you replaced all your baseball cards that were ruined, that would mean that you started with 38, because we know that 19 is half of all the baseball cards that were lost so 19*2=38
Find the x- and y-intercepts of the graph of the linear equation. y=-x+4
Answer:
Step-by-step explanation:
x-int
-x + 4 = 0
x = -4
(-4, 0)
y-int
y = 0 + 4
y= 4
(0, 4)
A giraffe can run 32 miles per hour. What is this speed in feet per second?
Answer:
46.9333 feet per second
Step-by-step explanation:
What’s the slope intercept form of the equation
Y=Mx+b
Answer:
Step-by-step explanation:
-7y = -6x - 7
y = 6/7x + 1
Martha tiene un negocio en el cual vende huevos empacados por docena. Uno de sus clientes le pide solamente 5/6 de docena, ¿cuántos huevos debe venderle Martha?
Answer:
María solamente debe venderle al cliente 10 unidades
Step-by-step explanation:
Explicación paso a paso:
Una docena representa un total de doce (12) unidades. Los huevos se empacan por docena, por lo tanto si nos piden solo 5/6 de la docena, multiplicamos dicha fracción por 12 unidades:
5/6 · 12 = (12 · 5)/6 = 60/6 = 10 unidades
Por lo tanto, María solamente debe venderle al cliente 10 unidades, es decir 5/6 representa 10 unidades de los huevos
Usando conceptos de proporción, se encuentra que Martha debe vender 10 huevos al cliente.
---------------------------
Esta pregunta se resuelve por proporciones, usando una regla de tres.Una docena está compuesta por 12 huevos. ¿cuántos huevos en 5/6 de docena?1 docena - 12 huevos
5/6 de docena - x huevos
Aplicando multiplicación cruzada:
[tex]x = 12 \times \frac{5}{6} = \frac{12 \times 5}{6} = 2 \times 5 = 10[/tex]
Martha debe vender 10 huevos.
A similar problem is given at https://brainly.com/question/23926715
What is the value of z in the solution of the following system of equations?
3x+ 5y +7z= 3
2x+4y+6= 6
4x+3y + 5z = -6
A. 6
B. 4
C. -2
D. -6
Answer:
D) -6
Step-by-step explanation:
so nobody is smart enough to answer my question?
That is ver very sad
yes,
abcdefghijklmnopqrstuvwxyz
(-4, 6) and (3.-7)
Find the distance between each pair of points
Answer:
[tex]d=\sqrt{218}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug our coordinates into the distance formula to find the distance between the points:
[tex]d=\sqrt{(3 - (-4))^2+(-7 - 6)^2}[/tex]
[tex]d=\sqrt{(3 +4)^2+(-13)^2}[/tex]
[tex]d=\sqrt{(7)^2+169}[/tex]
[tex]d=\sqrt{49+169}[/tex]
[tex]d=\sqrt{218}[/tex]
Yon buys tickets to a concert for himself and a friend. There is a tax of 8% on the price of the tickets and an additional booking fee of $20 for the transaction. Enter an algebraic expression to represent the price per person. Simplify the expression if possible. Use variable t for the price of the 2 tickets in dollars. The algebraic expression is
Answer:
5.4
Step-by-step explanation:
vhtx
Find the slope of the line passing through the points (2,8) and (2,-7)
Answer:
undefined
Step-by-step explanation:
The line is a vertical line (since both points have the same x-coordinate of x=2) and hence it has an undefined slope.
Distribute 6x (5 – 7x).
Answer:
30-42x
Step-by-step explanation:
Use the distributive property to multiply 6 by 5-7x.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{30 - 42x}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{6(5 - 7x)}[/tex]
Distribute 6 through the parentheses
[tex] \dashrightarrow{\sf{6 \times 5 - 6 \times 7x}}[/tex]
[tex] \dashrightarrow{ \sf{30 - 42x}}[/tex]
Hope I helped!
Best regards! :D
You want to paint a piece of pottery at an art studio. the total cost is the cost of the piece plus an hourly studio fee.the price for the studio A is shown at the right you spend a total of $46 on the project how many hours did you spend at the studio?
A) define the variable: x=
B) write an equation
C) answer the question include the units
Answer:
5 and 3/5
Step-by-step explanation:
sorry if it is wrong
A tree is 18 feet tall. A wire runs from the top of the tree to a point 4 feet from its base. The wire is √340 feet long. Estimate the length of the wire to the nearest hundredth of a foot. The wire is about (Blank) feet long.
Answer:
The wire is about 18.44 feet long.
Step-by-step explanation:
From the question:
The wire is √340 feet long.
This implies that the length of the wire is √340 feet.
Converting the value of this length (√340) to decimal gives;
√340 = 18.439
Now, let's convert 18.439 to the nearest hundredth of a foot.
18.439 ≅ 18.44
Therefore, the length of the wire to the nearest hundredth of a foot is 18.44 feet.
In other words, the wire is about 18.44 feet long.
[tex]\frac{x+10}{2}[/tex]
Answer:
[tex]\frac{x}{2}+5[/tex]
Step-by-step explanation:
[tex]\frac{x+10}{2}[/tex]
To solve, you will have to divide.
[tex]\frac{x}{2}+5[/tex]
Hope this helps!
The length of a football field is 120m. what is the length on drawing, if the scale is 1:5m?
3(20 + 4) =
Help me pleases
Answer:
72 is your answer mate...
Carla withdrew $320 every month for four years to help pay for college how much total money did she withdraw
Answer:
1280
Step-by-step explanation:
32x4=128
320x4=1280
Match the equation with its slope and y intercept.
Answer:
1.c
2.e
3.d
3.a
5.b
best of luck!
Answer: Answer is in the steps read carefully
Step-by-step explanation:
1. y = -3x It has a slope of -3 and y intercept of 0 so it goes with C
2. y =2x+ 5 It has a slope of 2 and y intercept of 5 so it goes with E
3. y = 1/2x - 3 It has a slope of 1/2 and y intercept of -3 so it goes with D
4. y= -1x + 2 It has a slope of -1 and y intercept of 2 so it also goes with A
5. y = 1x It has a slope of 1 and y intercept of 0 so it goes with B
if you kick a soccer ball on the ground,it eventually comes to a stop because of the friction with the grass.Which newton's law of motion is this an example of
Answer:
Newton's first law
Step-by-step explanation:
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
are f(x)=1/8x^3 and g(x)=2x^1/3 inverses of each other? Check all that apply.
PLEASE SHOW WORK!
The simplified expression for f(g(x)) is x.
The simplified expression for f(g(x)) is One-fourth x.
The simplified expression for g(f(x)) is 2x.
The simplified expression for g(f(x)) is x.
The functions are inverses of each other.
The functions are not inverses of each other.
Answer: 1,4,5
Step-by-step explanation:
The correct options are, The simplified expression for g(f(x)) is x.
The functions are not inverses of each other.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
Given, f(x) = 1/(8x³).
f(x) = 1/(2x)³.
y = 1/(2x)³.
(2x)³ = 1/y.
[tex]2x = \frac{1}{y^\frac{1}{3}}[/tex].
[tex]x = \frac{1}{2y^\frac{1}{3}}[/tex].
[tex]f^{-1}(x) = \frac{1}{2x^\frac{1}{3}}[/tex] and g(x) = [tex]2x^\frac{1}{3}[/tex] so, they are not inverses of each other.
Now, f(g(x)) = [tex]\frac{1}{8((2x)^\frac{1}{3})^3}[/tex].
f(g(x)) = 1/16x.
g(f(x)) = [tex]2(1/8x^3)^\frac{1}{3}[/tex].
g(f(x)) = x
learn more about the inverse of functions here :
https://brainly.com/question/2541698
#SPJ2
(4 root 6 - 2root7) (4root6 +2root7)
help me pleaseee i dont understand it.
What is the distance between points F(2, 11) and G(5, 16)? Round off to the nearest whole number
Answer:
d = 5Step-by-step explanation:
[tex]d_{FG}=\sqrt{(x_G-x_F)^2+(y_G-y_F)^2}\\\\d_{FG}=\sqrt{(5-2)^2+(16-11)^2}=\sqrt{3^2+4^2}=\sqrt{25}=5[/tex]
Select the correct answer,
A soccer team wins 65% of its matches, and 15% of its matches end in a draw. If the team is scheduled to play 20 matches, about how many
matches is it expected to lose?
A. 13
B. 4
с. В
D. 1
Answer:
0.65 x 20 = 13 0.15 x 20 = 3 so 13 + 3 =16 20 - 16 = 4
Step-by-step explanation:
y+6x=11; x = -2,0, 4
Solve the equation for y.
Use the diagram to the right a. What algebraic expression represents GK? b. If GK = 24. what are GH and JK? G H J K a What algebraic expression represents GK? GK (Simplify your answer Do not factor)
Answer:
Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram attached below;
From the diagram GK = GH+HJ+JK
Given GH = GJ-HJ
GH = 2x+2-x
GH = x+2
HJ = x
JK = HK - HJ
JK = 6x-1-x
JK = 5x-1
GK = x+2+x+5x-1
collect like terms
GK = x+x+5x+2-1
GK = 7x+1
Given GK = 24, then;
7x+1 = 24
7x = 24-1
7x= 23
x = 23/7
Since GH = x+2
GH = 23/7 + 2
GH 23+14/7
GH = 37/7
Also JK = 5x-1
JK = 5(23/7)-1
JK = 115/7 - 1
JK = 115-7/7
JK = 108/7
Simplify the following expressions and please show steps : >
please explain the steps in order to solve the equation 2x+5y=28 when x=4
Answer:
Step-by-step explanation:
Plug in 4 for x
2(4) + 5y = 28
8 + 5y = 28 (subtract both sides by 8)
5y = 20 (divide both sides by 5)
y = 4