Two buses, which are 2400 miles apart, travel towards each other. Their speeds differ by 60 miles per hour. They pass each other after 5 hours. Find their speeds.

Answer:

Step-by-step explanation:

The vertex form of  the equation of the parabola with vertex (h, k)   is:

y = a(x - h)² + k  

So  the equation of the parabola with vertex (3, 4):

y = a(x - 3)² + 4

The parabola passes through point (2, -2) so if x=2 then y=-2

- 2 = a(2 - 3)² + 4

- 2 -4 = a(-1)² + 4 -4

- 6 = a

So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):

                                       y = - 6(x - 3)² + 4  

Answer:

1. 13+10i

2. 28-(-4i)

3. -14-1i

4. 4 -i

5. 15+ 10i

6.8 - 5i^2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Wait... this doesn’t make sense because it doesn’t tell you if there was tax, how many friends there were, or tips.

Answer:

16/y = x

Step-by-step explanation:

You cannot solve for the question yet. However, you can create an equation!

we know that each person paid 16 dollars.

We don’t know how much the bill was or how many people were there.

So out equation looks like;

z/y = x

or

z * x = y

z = how much each person paid.

y = how much each person paid.

x = how many people paid.

Substitute with what we know.

16/y = x

16 * x = y

Now you will be able to substitute for either x or y to find either answer.

Answer:

1.90 I believe this is the answer. Hope this helps! Have a great day!

Answer:

Open dot on positive 2, arrow going to the left <----0

Step-by-step explanation:

Answer:

x < 2  

Step-by-step explanation:

9514 1404 393

Answer:

  [tex]\dfrac{20+5\sqrt{3}}{13}[/tex]

Step-by-step explanation:

Multiply numerator and denominator by the "conjugate" of the denominator.

  [tex]\dfrac{5}{4-\sqrt{3}}=\dfrac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}=\dfrac{20+5\sqrt{3}}{4^2-(\sqrt{3})^2}=\boxed{\dfrac{20+5\sqrt{3}}{13}}[/tex]

__

This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.

  a² - b² = (a -b)(a +b)

Answer:

69

Step-by-step explanation:

6 × 9 + 6 + 9 = 69

Please give me Brainlest!

Answer:

69

Step-by-step explanation:

Original Equation:

6 · 9 + 6 + 9 = ?

Multiply 6 and 9

54

Plug this value back into the equation

54 + 6 + 9

Add 54 to 6

60

Plug this value back into the equation

60 + 9

69

Hope I helped :)

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Answer:

Yes but I do not get what we are going to do here

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

204/7 = 12

12 x 13 = 156

Answer:

omg finally I can answer one of your questions meeeeeee!

Answer:

Not a bad movie

Step-by-step explanation:

Step-by-step explanation:

let y= -4x+60

4x= 60-y

x= 3/2-y/4

f'(x) = 3/2- x/4

Answer:

I hope this is right

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer would be O C. (x-2)(x-1)

xD

look on google

Step-by-step explanation:

go on google

search the answer

then BOOM!

Answer:

The answer is the first option x(x-4)(x-1)/2(x+4).

Step-by-step explanation:

because when you simplify after multiplying the denominator is 2x+8 when you simplify that its 2(x+4) and for the numerator after multiplying you get x^3−5x^2+4x when you simply that you get x(x-4)(x-1). Answer would be x(x-4)(x-1)/2(x+4).

Answer:

Step-by-step explanation:

y = 0.25x + 8

(0, 8) are coordinates of y=intercept

y = 0.25 × 2 + 8 = 8.50

(2, 8.50)

The last table represnts the given equation.

The fourth table among all the options contains values that satisfy the equation y = 0.25x + 8.

An equation is a combination of two or more expressions, all equal to each other.

Let's check every table if every point in them satisfies the equation y = 0.25x + 8,

Table 1:

To check if (0, 8) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 8 = RHS

This point satisfies the equation.

To check if (2, 8.25) satisfies the given equation,

RHS: 0.25 × 2 + 8 = 0.50 + 8 = 8.50

LHS: 8.25 ≠ RHS

This point does not satisfy the equation.

Table 2:

To check if (0, 0) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 0 ≠ RHS

This point does not satisfy the equation.

Table 3:

To check if (0, 8.25) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 8.25 ≠ RHS

This point does not satisfy the equation.

Table 4:

To check if (0, 8) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 8 = RHS

This point satisfies the equation.

Similarly, all the points can be verified that they satisfy the equation.

Thus, all values in Table 4 satisfy the given equation.

Learn more about Equation here:

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Answer:

-0.025

Step-by-step explanation:

Answer:

The slope for the substance = 7.2 g/mL

Step-by-step explanation:

Given that the density is also the slope relationship between mass and volume and that the density is equal to 7.2 g/mL, therefore, the slope of the equation of the line relating mass to volume is also equal to 7.2 g/mL

The density = Mass/Volume = 7.2 g/mL

The slope of mass volume relationship = (The change in mass)/(The equal change in volume)

Whereby the change is from the zero state, we have;

The slope of mass volume relationship = (Mass - 0))/(Volume - 0) = Mass/Volume

Therefore;

The value of the slope of the substance = The value of the density of the substance = 7.2 g/mL

The value of the slope for the substance = 7.2 g/mL.

Answer:

-5, -1, 1.5, 4, 7.3

Step-by-step explanation:

in of least to greatest

Thanks! have a good day

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Answer:

Y = [tex]x^{2}[/tex] - x - 42

Step-by-step explanation:

You can use the foil method

first, outside, inside, last

multiply the x’s together, the x times -7, the 6 times x, and then 6 times -7

Y = [tex]x^{2}[/tex] - x - 42

Answer:

80.6%

Step-by-step explanation:

Given that :

Total construction crew = 36

Number present in a certain day = 29

Percentage present on that day :

(Number present / total number) * 100%

(29 / 36) * 100%

0.8055555 * 100%

80.555%

= 80.6%

Answer:

1.55

Step-by-step explanation:

[tex]2(x + 0.7) = 6(x – 0.8)​[/tex]

Using the distributive property of addition over multiplication we get

[tex]2x+1.4=6x-4.8[/tex]

Take the like terms to one side and change their signs accordingly

[tex]1.4+4.8=6x-2x[/tex]

[tex]\Rightarrow 6.2=4x[/tex]

[tex]\Rightarrow x=\dfrac{6.2}{4}[/tex]

[tex]\Rightarrow x=1.55[/tex]

The value of [tex]x[/tex] is 1.55.

In order to make sure this value is correct we can substitute the value of x in the equation

[tex]2(1.55+0.7)=6(1.55-0.8)\\\Rightarrow 2\times 2.25=6\times 0.75\\\Rightarrow 4.5=4.5[/tex]

So, both sides are equal hence the value of [tex]x [/tex]is 1.55.

⟹Answer:

➧Lucas can cut the wire into 12 pieces.

Step-by-step explanation:

⟹Lets Solve!

⟹The first step is to convert [tex]\frac{3}{4}[/tex] into [tex]\frac{}{16}[/tex] !

      To do this we must find what number multiplied by 4 equals 16.

16 ÷ 4 = 4

⟹Now we know our multiplier is 4. So lets multiply the numerator and denominator by 4.

[tex]\frac{3}{4} * \frac{4}{4} = \frac{12}{16}[/tex]

[tex]\frac{12}{16}[/tex]

⟹Next we just divide  [tex]\frac{12}{16}[/tex] by [tex]\frac{1}{16}[/tex].

[tex]\frac{12}{16}[/tex] ÷ [tex]\frac{1}{16}[/tex] = 12

➧Lucas can cut the wire into 12 pieces.

Woohoo! Brainliest appreciated! Hope I helped!

Based on the original length of the wire and the length Lucas requires, he will have 12 pieces.

The wire is 3/4 feet long and each piece required will be 1/16 feet.

The number of pieces in total is:

= Length of wire / Length of pieces

Solving gives:

= 3/4 ÷ 1/16

= 3/4 × 16/1

= 48/4

= 12 pieces

In conclusion, Lucas will have 12 pieces.

Find out more at https://brainly.com/question/6752673.

Answer:

10

Step-by-step explanation:

friend chicked for life

Answer:

c. It is a straight object that begins at a point and extends forever in one direction. It could be considered half of a line.

Step-by-step explanation:

A ray is a line that begins at a point and extend forever in one direction. It has no end point. It has a start point but no end point. So, C is the correct answer.

Answer:

The rental costs $2 per mile (third from top answer)

Reasoning:

The graph on the side follows the slops of y=2x (rise of 2, run of 1) , therefore at x=1, we know that the y value must be 2.

Meaning The third option (The rental costs $2 per mile) is the only

correct answer

I hope this helps you and good luck!

Answer:

the 6 lane track will be 0.64 feet wider than the 7 lane track

Step-by-step explanation:

28.68÷6=4.78

28.98÷7=4.14

4.78-4.14=0.64

Answer:

ok i will try my best to give your questions answer

Step-by-step explanation:

thankyou for free point