The TGV is a high speed train in France. The speed of this train can be modeled by the equation d = 347.2t, where d is the train’s distance, in miles, and t is the time, in hours. The Shanghai-Hangzhou Train is a high speed train in China, and the table below summarizes how long it takes this train to travel different distances. Assume that both trains always operate at constant speeds. Which train is faster?

Answer:

y = [tex]\frac{4}{3}[/tex] x - 4

Step-by-step explanation:

Given

4x - 3y = 12 ( subtract 4x from both sides )

- 3y = - 4x + 12 ( divide terms by - 3 )

y = [tex]\frac{4}{3}[/tex] - 4 ← in the form y = mx + b

Answer:

2x²+16x + 24

Step-by-step explanation:

(x + 6) ( 2x + 4)

x ( 2x + 4) + 6 ( 2x + 4)

2x² + 4x + 12x + 24

2x² + 16x + 24

Hope this helps

The polynomial function [tex](x + 6)(2x + 4)[/tex] expressed as a trinomial is [tex]2x^2 + 16x + 24[/tex].

Given data:

The polynomial function is represented as A.

Now, the value of [tex]A=(x + 6)(2x + 4)[/tex].

On simplifying the equation:

From distributive property to multiply the terms:

[tex]A=x * 2x + x * 4 + 6 * 2x + 6 * 4[/tex]

[tex]A=2x^2 + 4x + 12x + 24[/tex]

On simplifying the equation:

[tex]A=2x^2 + 16x + 24[/tex]

Hence, the trinomial is [tex]2x^2 + 16x + 24[/tex].

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Answer:1 3/4

Step-by-step explanation:

Answer:7/4=1 3/4

Step-by-step explanation:

it is like this,7,we can think of 8,which would 2,but it is 7,so we drop down to 1 whole.Then we have 3 remaining,which makes 1 and 3/4

Hey there! I'm happy to help!

We see that at AB is halfway across our line. We see that AC is the total line.

So, to find the other half, we have to subtract AB from AC, which will give us the value of BC.

We first will subtract our x values.

3x-x=2x

And then we subtract our numbers.

-6-5=-11

So, BC is 2x-11.

Have a wonderful day and keep on learning! :D

Answer:

Step-by-step explanation:

Since B is the midpoint, we have:

Substitute and solve for x:

Find BC:

..........................

Answer:

1 st angle = 40

2 nd angle= 50

Step-by-step explanation:

Answer:

First angle = 40

Second angle = 50

Step-by-step explanation:

let 1st angle be 4x and 2nd angle be 5x

4x + 5x = 90 [Complementary means the sum of angles is 90]

=> 9x = 90

=> x = 90/9

=> x = 10

First angle = 4x = 4(10) = 40

Second angle = 5x = 5(10) = 50

Answer:

A. 1.50 x 12 = 13.5 for 12 gallons

B. i dont know sorry

C. 12.60 divided by 1.50 = 8.4 gallons

Step-by-step explanation:

The answer is in the above picture.

Step-by-step explanation:

17. 2(a+3b)-3(4a+b)

2a+6b-12a-3b

2a-12a+6b-3b

-10a+3b

correct answer is B.-10a+3b

18. simplify (,3a³-7a²+a)+(-6a³+4a²+8)

3a³-6a³-7a²+4a²+8+a

-3a³-3a³+a+8

correct answer is D. -3a³-3a³+a+8

Step-by-step explanation:

do you happen to have a photo reference your sentence is a bit confusing

Answer:

44 = 4 · g OR g · 4 = 44

Step-by-step explanation:

So first we need to know what a variable is...

A variable is an unknown number in a math sentence

Knowing that we can write the equation.

"44 is the product 4 and Greg's height. Use the variable g to represent Greg's height"

Since we do not know Greg's height that is what we will use variable g to substitute it.

"44 is the product 4 and g"

Now all we have to do is convert this into an equation

(Note: Whenever you see product of something know that it means that you need to multiply)

So your final answer is...

44 = 4 · g

(Explanation: Since it says 44 is the product of then it means it is the answer so we will put an equal sign)

Hope this helps :)

Answer:

x = -6

Step-by-step explanation:

r(x) = -2

x/3 = -2

x = -2 * 3 = -6

If my answer is incorrect, pls correct me!

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Answer:

260x = 170

x=170/260 * 100% = 65.4 %

Step-by-step explanation:

Answer:

5(2x + 8) = –33 + 53

10x + 40 = –33+53

10x= –33+53–40

10x = –20

x = –20/ 10

x = – 2

I hope I helped you^_^

Janet can purchase 36.67 sets of cutlery if each set costs $0.75.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

Janet has $65 to spend on paper goods and cutlery, and the paper goods will cost $37.50,

So, she has $65 - $37.50 = $27.50 remaining to spend on cutlery.

Each set of cutlery costs $0.75,

So, Janet can purchase sets of cutlery :

⇒ $27.50 / $0.75

Apply the division operation, and we get

⇒ 36.67

Since it's not possible to buy a fraction of a set, Janet can only buy 36 sets of cutlery.

Therefore, she can purchase 36.67 sets of cutlery.

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Answer:

The coordinates are (6.5, 1.7).

Step-by-step explanation:

The difference between A and B's x-coordinate is 15.  7/10 of this is 10.5, which added to -4 gives us an x-coordinate of 6.5.

The difference between A and B's y-coordinate is 11.  7/10 of this is 7.7, which added to -6 gives us a y-coordinate of 1.7.

Therefore, the coordinates are (6.5, 1.7).

Answer:

C. 8 units right and 5 units down

Step-by-step explanation:

since it's only a translation, take one point as an example. lets say the bottom right point on trapezoid P is point A, and the translated point on P' is A'. the coordinates of A are (-3,2) while the coordinates of A' are (5,-3). (-3+x,2+y)=(5,-3). -3+x=5, x=8; 2+y=-3, y=-5

Answer:

FREEEEEEE POINTSSSSSSS

Step-by-step explanation:

Answer:

yooo anythingg

Step-by-step explanation:

Answer:your answer will be afdhbgaefijhbaefljbhadfljvmbadflkjv

Step-by-step explanation: because monke

Answer:

224

Step-by-step explanation:

If c = 1 and d = 2:

(-1³ + 2⁴)² - (-1 + 2)³

(-1 + 16)² -(1)³

(15)² -1

225 -1

224

Answer:

540 square feet worth of paper

Step-by-step explanation:

This is an area problem. Area is length multiplied by width. The provided length is 30 feet and the provided width is 18 feet. When they are multiplied, you get 540 square feet. Note that the height is the width in this context because if you laid the banner down, 18 would be the width. The banner is being held up, so the 18 feet is called the height.

Answer:

It is 8.1 × 10^-7

Step-by-step explanation:

[tex] {(9 \times {10}^{ - 4} )}^{2} \\ = \{{9}^{2} \times {10}^{( - 4 \times 2)} \} \\ = 81 \times {10}^{ - 8} \\ = 8.1 \times {10}^{ - 7} [/tex]

☆Concept:-

The Question is based on the law of exponents .

The law to be used in this question is

[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]

Solution:-

[tex]\\ \tt\longmapsto (9\times 10^{-4})^2[/tex]

[tex]\\ \tt\longmapsto 9^2\times 10^{-4(2)}[/tex]

[tex]\\ \tt\longmapsto 81\times 10^{-8}[/tex]

[tex]\\ \tt\longmapsto 8.1\times 10^{-7}[/tex]

Answer:

Step-by-step explanation:

[tex]\sqrt{(1+x)^3} -\sqrt{1+x} \\\\=(1+x)*\sqrt{1+x} -\sqrt{1+x} \\\\=\sqrt{1+x} (1+x-1)\\\\=x\sqrt{1+x} \\\\[/tex]

Answer:

16

Step-by-step explanation:

x^2 -8x

Take the coefficient of x

-8

Divide by 2

-8/2 = -4

Square it

(-4)^2 = 16

Add 16

The solution for s in the given equation is [tex]s = C-nD[/tex]

The question seems to be incomplete

Here is the complete question:

Solve for s in this equation [tex]D= \frac{C-s}{n}[/tex]   Depreciation.

To solve for s, that means we should make s the subject of the equation

From the given equation,

[tex]D= \frac{C-s}{n}[/tex]

To solve for s, first multiply both sides by n to clear the fraction

We get

[tex]n\times D= n \times \frac{C-s}{n}[/tex]

Then,

[tex]nD = C - s[/tex]

Now, add s to both sides

[tex]nD + s= C - s+s[/tex]

[tex]nD+s = C[/tex]

Then, subtract nD from both sides

[tex]nD-nD+s = C-nD[/tex]

∴ [tex]s = C-nD[/tex]

Hence, the solution for s in the given equation is [tex]s = C-nD[/tex]

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