Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 315 inches and the scale is 1:90?

Answer:

If I am not mistaken the answer is x<-27/2.

Answer:

y=3x+2

Step-by-step explanation:

Note: you did not add the answer options, so I am solving this question generally to solve your query, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]y= 4x + 9[/tex]

All we need is to find any random value of 'x' and then solve for 'y'.

For example, putting x=2

[tex]y= 4x + 9[/tex]

[tex]y=4(2)+9[/tex]

[tex]y=8+9[/tex]

[tex]y=17[/tex]

Thus, (2, 17) is one of the many ordered pairs solutions of the equation.

Similarly, putting x=3

[tex]y= 4x + 9[/tex]

[tex]y=4(3)+9[/tex]

[tex]y=12+9[/tex]

[tex]y=21[/tex]

Thus, (3, 21) is one of the many ordered pairs solutions of the equation.

i did this last year lol ;-;

The function h(x) is h(x)=5/4 x² - 5/2 x.

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.

Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)

So, 5=a(-2-0)²+0

5=4a

a=5/4

Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get

f(x)= 5/4 x²

Equation of straight line with coordinates (-2, 5) and (0, 0) is

Slope m=5/2

Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get

0=5/2(0)+c

c=0

Substitute, m=5/2 and c=0 in y=mx+c we get

y=5/2 x

So, g(x)=5/2 x

Now, h(x)=f(x)-g(x)

h(x)=5/4 x² - 5/2 x

h(x)=5/2 x(1/2 x-1)

1) h(x)=0

5/2 x(1/2 x-1) =0

1/2 x-1=0

1/2 x=1

x=2

2) For x=2, h(x) is 0

3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.

To learn more about the quadratic function visit:

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Answer:

That is definitely C

happy holidays to you too

The properties of items in a question can be used to simplify the solution to the questions

The area of triangle ΔABD is 20 - 4·√3

The reason the above value for the area of ΔABD is correct is as follows:

The given parameters are;

AB = AD, BC = CD, BE = 2, BC = 4, AC = 10

Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite

∴ AC is perpendicular to BD by properties of the diagonals of a kite

ΔBCE is a right triangle

By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²

Which gives;

[tex]\overline{CE}[/tex]² = 4² - 2² = 12

[tex]\overline{CE}[/tex] = 2·√3

Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;

BD = BE + DE, where BE = DE definition of bisected line

∴ BD = BE + BE = 2·BE

Area of a triangle = (1/2) × Base length × Height

AE = The altitude (height) of the ΔABD = AC - CE

∴ AE = 10 - 2·√3

BD = The base length of ΔABD = 2·BE (Length of BE = 2)

∴ BD = 2 × 2 = 4

The area of triangle ΔABD = (1/2) × BD × AE

∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3

The area of triangle ΔABD = 20 - 4·√3

Learn more about the properties of a kite here:

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Answer:

3.142857  (3.14)

Step-by-step explanation:

Answer:

subtraction property of equality.

Step-by-step explanation:

the change made in the equation is that you subtracted 2 on both sides, which cancels out the 2 on the left and equals the 3 on the right. hope this helps :)

Complete question :

Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.

Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.

How much will Sathish pay for gas?

Answer:

$64.8

Step-by-step explanation:

Given that :

Total length of trip = 2100 km

Length of journey with Satish alone in the car:

(150km) beginning + (150km) ending = 300km

Length of journey with Satish and 2 friends :

2100 km - 300 km = 1800 km

Gas consumption:

6 liters per 100km

Cost of gas = $1.2 / litre

Consumption when Satish is alone :

(6 litres /100 km) * 300km = 18 litres

Cost = $1.2 * 18 = $21.6

Consumption with his 2 friends :

(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres

Cost = $1.2 * 108 = $129.6

Since amount is shared equally :

Amount paid by sattish = $129.6 / 3 = $43.2

Hence, total amount paid by Sattish is :

$21.6 + $43.2

= $64.8

Answer:

64.80 or 64.8

Step-by-step explanation:

whatever works <333

Answer:

you to be the line smell the line and thats it

Step-by-step explanation:

Answer:

Last week, she earned a total of $702 last week in commission.

Step-by-step explanation:

To solve this, we first need to find 13% of $5,400.

5,400 x 0.13 = 702

Therefore, Nadia earned a total of $702 last week in commission.

Now, we need to calculate how much money she'll earn in a whole year. So, let's see how many weeks are in a year.

1 year = 52 weeks when rounded to the nearest whole number

702 x 52 = $36,504

Therefore, Nadia earned a total of $36,504 in commission in 2011.

Hope this helps! :D

Answer:

x = 8

Step-by-step explanation:

10 x 8 = 80 and the bottom would equal 80 as well so you would get 1 ^^

Answer:

x =25/2

10/8 = x/10

- Cross multiply

8x=100

- Divide both sides by 8

x=100/8

- Simplify

x=25/2

Hope This Helps!

Answer:

[tex]\{0,1,2\}[/tex]

Step-by-step explanation:

Given:

[tex]\{(1, 3), (0, 4), (2, 1)\}[/tex]

Required

Determine the domain

A relation is represented as: [tex]\{(x_1, y_1), (x_2, y_2), (x_3, y_3).....(x_n,y_n)\}[/tex]

Where:

[tex]\{x_1,x_2,x_3.....x_n\}[/tex] are the domain of the relation

So, by comparison:

[tex]\{1,0,2\}[/tex] or [tex]\{0,1,2\}[/tex] represents the domain

Answer:

375 paying customers

Step-by-step explanation:

First you need to find how much the fee was increased from $5.00 to $7.50

7.5 - 5 = 2.5

Then how many times the pay increase goes into that number to find your X value

2.5/.5 = 5

Now that we have found our x value lets plug it into the equation to find the money the park will make in increments of 1

500 - 25(1) = 475

500 - 25(2) = 450

500 - 25(3) = 425

500 - 25(4) = 400

500 - 25 (5) = 375

Answer:

375

Step-by-step explanation:

Answer:

y= 4/7x -1  

Step-by-step explanation:

solve for y first in 4x-7y=9, which becomes y = 4/7x - 9/7, then since its a parallel line the slope stays the same which is 4/7. Then plug into this equation: y =mx+b, in which you plug in the point for the x and y values and you plug in the slope for m, so the equation becomes, 3 = (7)(4/7) + b and now solve for b in which b = -1 and now write the equation using all the corresponding things so the equation becomes: y= 4/7x -1  

Answer:

You'll pay $3013

Step-by-step explanation:

Amount to pay=$2620+Interest accrued

A=$2620+($2620×0.03×5)

A=$2620+$393

A=$3013

Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.

Step-by-step explanation:

From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.

Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:

= -$1280 - $560

= - $1840

The new balance is -$1840

Answer:

She is not correct. The correct answer should be -$1840

Step-by-step explanation:

Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.

Answer:

:

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

To solve more questions on equation modelling, visit the link below-

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Answer: 50+80=130

I wasn’t really sure of what you were really asking, apologies.

Answer:

130 is your answer!

Step-by-step explanation:

50 + 80 can be put as 5 + 8 = 13 and then add a 0. You will get 130!

Answer:

x is 2 and 6 is y

Step-by-step explanation:

Answer:

2x^3+3-4

Step-by-step explanation:

Answer:

2x^3 - 1

Step-by-step explanation:

Plato/Edmentum

Answer:

The given statement is true.

Step-by-step explanation:

Given function is:

[tex]P(x) = x^4 - 2x^3 - x+2[/tex]

And the given point is:

(1,0)

In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.

For (1,0) we will put x = 1 in function and check whether we get 0 as output

[tex]P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0[/tex]

Hence,

The given statement is true.

Answer:

A. True

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

slope m=y2-y1/X2-x1

=6-2/9-5

=4/4= 1

Answer:

4x+32= 4(x+8)

Step-by-step explanation

4x+32

The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).