x -3y = -5
-x +3y = 0

Answer:

[tex]x^2-\dfrac{9}{2}x-9=0[/tex]

Step-by-step explanation:

The solutions of a quadratic equation are :

x = -3/2 and x = 6

or we can write it as :

[tex]x+\dfrac{3}{2}=0\ and\ x-6=0\\\\(x+\dfrac{3}{2})(x-6)=0[/tex]

Multiplying both values,

[tex](x+\dfrac{3}{2})(x-6)=0\\\\x^2-6x+\dfrac{3}{2}x-9=0\\\\x^2-\dfrac{9}{2}x-9=0[/tex]

Hence, the required quadratic equation is [tex]x^2-\dfrac{9}{2}x-9=0[/tex].

Answer:

1. 0

2. a/ a + b

3. a + b/ a - b

Answer: $27.50

Step-by-step explanation: So first off you would subtract the service fee from the total amount to get $110.00 then you would divide that by four to get $27.50 per ticket.

Answer:

60 mph

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

Where is the question? The Answer is 20/29

Step-by-step explanation:

Brainiest

Answer:

C

Step-by-step explanation:

Answering your question so it will not get removed.

The correct option for the question is C.  [tex]S_{n}[/tex] = 15 [ 1 - [tex](3/4)^{n}[/tex] ]

If in a sequence of terms, each succeeding term is generated by multiplying each preceding term with a constant value, then the series is referred to as a geometric progression. (GP), while the constant value is called the common ratio.

Conclusion: The nth term from the end of the GP with the last term l and common ratio r = l/ [r(n – 1)]. The sum of infinite, i.e. the sum of a GP with infinite terms is S∞= a/(1 – r) such that 0 < r < 1.

[tex]a_{n}[/tex] = 5[tex](3/4)^{n}[/tex]

[tex]S_{n}[/tex]= Σ[tex]a_{n}[/tex]

[tex]S_{n}[/tex] = ∑5[tex](3/4)^{n}[/tex]

  = 5∑[tex](3/4)^{n}[/tex]

  = 5 [ 3/4 + [tex](3/4)^{2}[/tex] + ......+ [tex](3/4)^{n}[/tex]]

 =5 [ 3/4 * { 1- [tex](3/4)^{n}[/tex]} / 1 - 3/4 ]

[tex]S_{n}[/tex] = 15 [ 1 - [tex](3/4)^{n}[/tex] ]

learn more about geometric sequence here https://brainly.com/question/1509142

#SPJ2

Answer:

1/4

Step-by-step explanation:

For the first circle 2 x 2in = 4 to find diameter

4 x 3.14 = 12.56

6in x 2 = 12

12 x 3.14 = 37.68

simplify

12.56/37.68

6.28/18.84

3.14/9.42

So the answer is 1/4 since 3.14 x 2 = 6.28

Also since the radius is 2 times longer

Answer:

D

Step-by-step explanation:

Circumference = 2 * pi * r

Circle A / Circle B = 2 * pi * 8 / 2 * pi * 2

You need to take note of the right side. The 2s cancel and so does pi

Circle A/ Circle B = 8/2

Circle A / Circle B = 4/1 = 4

Which is D

Answer:

I think it's A but I'm not sure

Answer:

A prism will always have two congruent parallel bases.

Step-by-step explanation: the definition of a prism is: a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms. Hope that helps and rate brainiest please!

Answer:

horizontal

Step-by-step explanation:

Answer:

23,030

Step-by-step explanation:

Add you base price, keyless entry, engine cooling, read window defogger and destination charge together.

9514 1404 393

Answer:

  x = (1/4) +(1/8)e^2

Step-by-step explanation:

Undo what is done to x.

  4ln(8x-2) +2 = 10

  4ln(8x -2) = 8 . . . . . . . subtract 2

  ln(8x -2) = 2 . . . . . . . . divide by 4

  8x -2 = e^2 . . . . . . . . . take antilogs

  8x = 2 +e^2 . . . . . . . . add 2

  x = (2 +e^2)/8 . . . . . .  divide by 8

  x = (1/4) +(1/8)e^2

Answer: 44.064

Step-by-step explanation:

Answer:

44.064

thats the answer

Answer:

-9, -5, -4.1, -4

[tex]\\q\leq -4[/tex]

Step-by-step explanation:

I think what you're missing here is that there is a negative sign in front of the q. This means that whatever number you put in for q will be multiplied by negative 1. Positive numbers will become negative, and negative numbers will become positive.

If you substitute 9 for q you will get [tex]-9\geq 4[/tex], which is clearly not true, because -9 is way less than 4.

For writing the equation you divide both sides by -1. When you do this however, you must flip the inequality sign

[tex]-q\geq 4\\q\leq -4[/tex]

the > sign turned into <, and the q and 4 switched signs.

Answer:

213

Step-by-step explanation:

(31x7)-4

Answer:

5x

= 5(8)

= 40

I hope I've helped

Answer:

A

Step-by-step explanation:

You can see they are multiplying x by 3 every time.

Answer:

A) y=3x

Step-by-step explanation:

find the pattern between x and y. if we try using the equation y=3x, plug in the values to check if its correct.

input(x) = 2

output(y)=6

6=3(2)

6=6

Answer:

c

Step-by-step explanation:

The y-values of the graph increases as the value of x increases, which

indicates that a characteristic of the base of the logarithm function.

Correct response:

The given points on the graph are;

The point where the graph starts = Quadrant 4

Direction of the graph = From quadrant 4 to quadrant 1

Points on the graph are;

(0.5, -0.4), (1, 0), and (6, 1)

The given options are;

[tex]y = \mathrm{log_{\frac{1}{6} } x}[/tex]

[tex]y = \mathrm{log_{0.5} x}[/tex]

[tex]y = \mathrm{log_1 x}[/tex]

[tex]y = \mathrm{log_{6} x}[/tex]

From the shape of the graph, in which, log x increases as x increases, therefore;

The base, b, of the logarithm is larger than 1, given that we have;

[tex]\mathbf{log_bx} = y[/tex]

[tex]\mathbf{b^y} = x[/tex]

From the given coordinate points, x increases as y increases, therefore;

b > 1

The possibly option is therefore, y = log₆x

Verifying, we have;

At x = -0.4, y = 0.5

[tex]b^y = x[/tex]

[tex]6 ^{(-0.4)}[/tex] ≈ 0.488

Therefore, the point (0.5, -0.4) is close to the graph of y = log₆x

At the point (1, 0), we have;

6⁰ = 1

Therefore, the point (1, 0), is on the graph of y = log₆x

At the point (6, 1), we have;

6¹ = 6

Therefore, the point (6, 1) is on the graph of y = log₆x

The function of the graph is therefore;

Learn more about logarithmic functions here:

https://brainly.com/question/7434809

Answer: 4.12 km

Step-by-step explanation:

Use the Pythagorean theorem.  Name the hypotenuse (longest side) c and the bottom side b.  Then, simplify and solve for a.

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 + 64 = 81

a^2 = 17

a = square root of 17 or approx. 4.12

Please give brainliest!

Answer:

A is right

Step-by-step explanation:

Answer:

The volume of the sculpture is 111.439  

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

To calculate the area of a circle you need to multiply the radius by itself, then multiply that number by [tex]\pi[/tex].

In this case, our radius is 3, so we multiply 3 × 3 × [tex]\pi[/tex] (which can be estimated as 3.14)

3×3 is 9

9×3.14 is 28.26

28.26≠18.84

So, the correct answer is false. Hope this helps ^.^

Answer: 31/36

Step-by-step explanation:Add them up..5/12+4/5 you need to convert to a common denominator. Common denominator is 36; 15/36+16/36=31/36

Answer:

[tex]\frac{31}{36}[/tex]

Step-by-step explanation:

To get the sum you have to have the same denominator.

So you have to find out what can 12 and 9 go into without leaving a remainder which is 36.

Then you divide 36 by 12= 3 and 36 by 9= 4

Then you multiply 3 by 5= 15 and 4 by 4= 16

You add then up and you get 31

So 31/36 is the answer.

Answer:

B) x=5√3 y=5

Step-by-step explanation:

It’s a 30-60-90 triangle, so

B) x=5√3 y=5

Answer:

the ans is 21 hope it may help u

Step-by-step explanation:

g = 6

x=6

x= 3x + 3

x = 3 × 6 +3

x = 18 + 3

x= 21