Need this answered ASAP.

What is the solution to the system of equations graphed below?
A.) (2, 4)
B.) (4, 2)
C.) (0, 6)
D.) (6, 0)

Answer:

C: 38 units

hope this helps!!

Answer:

  [tex]\dfrac{x^2-4}{x^2-6x+9}[/tex]

Step-by-step explanation:

We assume you want to expand ...

  [tex]\dfrac{x+2}{x-3}\cdot\dfrac{x-2}{x-3}=\dfrac{(x+2)(x-2)}{(x-3)^2}=\boxed{\dfrac{x^2-4}{x^2-6x+9}}[/tex]

_____

In each case, the product of the factors is ...

  (x +a)(x +b) = x² +(a+b)x +ab

For the numerator, you have (a, b) = (2, -2).

For the denominator, you have (a, b) = (-3, -3).

Answer:

[tex]= \frac{ {x}^{2} - 4 }{ {x }^{2}-6x+9 } \\ [/tex]

Step-by-step explanation:

[tex] \frac{x + 2}{x - 3} \times \frac{x - 2}{x - 3} \\ \frac{(x + 2)(x - 2)}{(x - 3)(x - 3)} \\ \frac{x(x - 2) + 2(x - 2)}{ {(x - 3)}^{2} } \\ \frac{ {x}^{2} - 2x + 2x - 4 }{ {x}^{2} - 6x+9} \\ = \frac{ {x}^{2} - 4 }{ {x }^{2} -6x+9 } [/tex]

Answer:  x = 3/2

Step-by-step explanation:

log (2) + log (x) = log (3)       Given

log(2x) = log(3)                     Condensing log rules

    2x = 3                              Cancellation log rule

      [tex]x=\dfrac{3}{2}[/tex]                             Division Property

Answer:

B. -9, 7

Step-by-step explanation:

For the rational expression to be undefined the denominator has to equal 0.

x² + 2x - 63 = 0

Factor left side.

(x - 7)(x + 9) = 0

Set factors equal to 0.

x - 7 = 0

x = 7

x + 9 = 0

x = -9

x = -9 or x = 7

Answer:

B

Step-by-step explanation:

A rational expression is undefined when the denominator of the expression equals 0 (this is because anything over 0 is undefined). In other words, to find the values for which the given expression is undefined, we simply have to find the zeros of the denominator. We can ignore the numerator. Thus, let:

[tex]0=x^2+2x-63[/tex]

This is now a quadratic. Solve for the quadratic. I will factor but you can do whatever you like (complete the square, quadratic formula, etc.).

We notice that two factors that multiply to -63 and also add to +2 is 9 and -7. Thus:

[tex]0=(x+9)(x-7)[/tex]

[tex]x+9=0 ; x=-9[/tex]

[tex]x-7=0; x=7[/tex]

The zeros are -9 and 7.

The denominator will equal 0 at these values, and the expression will be undefined.

Answer:

When two vectors are parallel, it's because the angles of inclination are equivalent. They are defined by

[tex]\theta = tan^{-1}(\frac{y}{x} )[/tex]

So, we just need to find the angle for each vector and see if they are equivalent.

We have vectors [tex](3,1)[/tex] and [tex](-13,-1)[/tex]. You already can deduce that these vectors are not parallel, because, their divisions are not equivalent.

[tex]\frac{1}{3} \neq \frac{-1}{-13}[/tex]

Which will give different angles in the end.

Let's try the other pair of vectors [tex](2,3)[/tex] and [tex](-3.-2)[/tex]. Their division would be

[tex]\frac{3}{2} \neq \frac{-2}{-3}\\ 1.5 \neq 0.67[/tex]

As you can observe, their divisions are not equivalent, which means their tangents are not equivalent.

Therefore, those vectors are not parallel, because they don't have equivalent angles of inclination, not matter if they are pointing to the same or different direction.

Answer:

-72

Step-by-step explanation:

I googled it.

Answer:

-72

Step-by-step explanation:

You take the 9, multiply by the -8, and boom. You get -72.

And when you multiply two opposite signs together, it equals to a negative number.

Boom bam boom you became a bit smarter

Given : p partners equally share the profits from a sale of $3,600

To find :  Which algebraic expression represents this situation

Solution:

Number of Partners  = p

Total Profit  = $ 3600

Profit of Each Partner  = Total Profit / number of Partners

=> Profit of Each Partner  = 3600 / p

Hence     is  algebraic expression that represent the  Share of each partner

Answer:

D

Step-by-step explanation:

100% on quiz

Answer:

not d

Step-by-step explanation:

i tried it hehhe

Answer: 60 square units

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

There are 200 people in a cinema- This is our total amount.

25 % of the people are men.

.25 times 200= 50

There are 50 men.

1/5 (20%) of the people are women.

.2 times 200 = 40

There are 40 women.

50+40 = 90

There are 90 adults in the cinema.

If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.

The percentage is 55%.

The simplified fraction is 11/20.

The decimal is .55  

Answer:

Geometric sequence = ⁵/9, ⁵/3, 5, 15, 45. . .

Arithmetic sequence = 16, 11, 6, 1, -4 . . .

Step-by-step explanation:

A geometric sequence is a sequence of numbers, in which every number in the sequence after the first term is multiplied by a common ratio, which gives us the next term. The common ratio is the ratio of a term to the term before it.

On the other hand, an arithmetic sequence is a sequence of number have a common difference between each consecutive terms. This common difference is gotten by subtracting a term from the term before it.

Now let's examine each sequence given:

==>16, 11, 6, 1, -4 . . .

11 - 16 = -5

6 - 11 = -5

1 - 6 = -5

-4 - 1 = -5

This is an arithmetic sequence. The commons difference "-5" is the same

==>⁵/9, ⁵/3, 5, 15, 45. . .

⁵/3 ÷ ⁵/9 = ⁵/3 × ⁹/5 = ⁹/3 = 3

5 ÷ ⁵/3 = ⁵ × ⅗ = 3

15 ÷ 5 = 3

45 ÷ 15 = 3

The common ratio "3" is the same. This is a geometric sequence.

Answer:

Step-by-step explanation:

Hi

[tex][ 4\sqrt\dfrac{132}{143} ]^ {-2}}=[\dfrac{132}{143}]^{-\dfrac{2}{4}}=\sqrt{\dfrac{143}{132}}\\\\=\sqrt{\dfrac{11*13}{11*12}}=\sqrt{\dfrac{13}{12}}[/tex]

do not hesitate if you have any question

Answer:

Hello!

`~~~~~~~~~~~~~~~~~~~~~

Your answer would be (C)  10x2 + 18x+ 30

~~~~~~~~~~~~~~~~~~~~~~

Hope this helped you!

P . S I would've put the explaintion but it's to long.

Explanation:

Let point G be the center of both circles. Angle EGF is shown to be 146 degrees. This is a central angle of the orange circle that subtends, or cuts off, minor arc EF. This is the shortest distance along the edge of the orange circle. The measure of the central angle is exactly equal to the measure of the arc. This is simply by definition. Minor arc EF is 146 degrees as it is a portion of the entire distance around the orange circle. The fractional portion is 146/360 = 73/180.

Answer:

5

Step-by-step explanation:

The triangle pictured is a 45-45-90 triangle, meaning both legs are the same length, 5.

Complete question:

A School of Public Health completed a study on alcohol consumption on college campuses. They concluded that 20.1?% of women attending? all-women colleges abstained from? alcohol, compared to 17.1?% of women attending coeducational colleges. Approximately 5.2?% of women college students attend? all-women schools. Complete parts? (a) and? (b) below.

a) what is the probability that a randomly selected female student abstains from alcohol

b) If a randomly selected female student abstains from alcohol, what is the probability she attends a coeducational college?

Answer:

a) 0.173

b) 0.94

Step-by-step explanation:

Given:

Probability of women attending all women colleges, probabilty of abstained from alcohol P(Ab|AW) = 0.201

Probability of women attending coed colleges, probabilty of abstained from alcohol P(Ab|CE) =0.171

Let probability of women attending all women college, P(AW) =0.052

Let probability of women attending coed, P(CE) = 1 - 0.052 =0.948

a) To find the probability that a randomly selected female student abstains from alcohol, use the formula below:

P(Ab) =P(Ab|AW)*P(AW)+P(Ab|CE)*P(CE)

=(0.201 * 0.052) + (0.171 * 0.948) = 0.17256

Probability that a randomly selected female student abstains from alcohol is 0.17256 ≈ 0.173

b) If randomly selected female student abstains from alcohol, probability she attends a coeducational college. Use the formula below:

P(CE|Ab) =P(Ab|CE)*P(CE)/P(Ab) =

[tex] = 0.171 * \frac{0.948}{.173} [/tex] [tex] =0.9394 [/tex]

≈ 0.94

Answer:

the correct answer is D

Step-by-step explanation:

The correct answers are A, B, and D

Answer:

3 weeks for one song

Step-by-step explanation:

The function would be y = 3x + b

Answer:

it is 1/3 of a song per week for all you people that cant do math

Step-by-step explanation:

We can use the points (-4, 3) and (3, 1) to solve.

Slope formula: y2-y1/x2-x1

1-3/3-(-4)

-2/7

Therefore, the answer is C

Best of Luck!

Answer:

-2/7

Step-by-step explanation:

To find the slope we use the formula

( -4,3) and ( 3,1) are two points on the line

m = ( y2-y1)/(x2-x1)

    = ( 1-3)/( 3 - -4)

    ( 1-3) /(3+4)

     -2/7

Answer:

y = 7,595.96(1.02)x

Step-by-step explanation:

y = 7,595.96(1.02)x

a normal linear equation is basically y = x + b

in this case,

Since the accounts earns 2% interest per year, then you need to multiply the original amount by 1.02. As more years pass, the account will increase by 1.02, so the account increases by 1.02x. Since the original amount is $7,595.96, that will be our starting point.

Answer:

C y = 7,595.96(1.02)x

Step-by-step explanation:

Answer:

  8/15 acres per hour

Step-by-step explanation:

To find acres per hour, divide acres by hours:

  (2/5 ac)/(3/4 h) = (2/5)(4/3) ac/h = 8/15 ac/h

Derek can cover 8/15 acres per hour.

Answer:

True, False, False, True

Answer:

True, False, False, True.

Step-by-step explanation:

Answer:

Colin got £126

Step-by-step explanation:

Here we want to know how much Colin got from the sharing.

We can collapse the ratio to mean;

Colin : Caroline + Sarah

= 9:1 + 1 = 9:2

So total ratio is 9 + 2 = 11

If Caroline and Sarah got £28 we need to find the total money shared

Let the total money shared be £x

Thus;

2/11 * x = 28

2x = 11 * 28

x = (11 * 28)/2

x = 11 * 14 = £154

So the amount of money Colin got would be;

£154 - £28 = £126

Answer:

B. 24700

Step-by-step explanation:

Answer:

b. 24700 cm³

Step-by-step explanation:

[tex]\frac{lwh}{3} \\\\65*30*38/3 = 24700 cm^3[/tex]

Hope this helps! :)

Answer: 343 cm³

Step-by-step explanation:

The surface area of a cube is 6s^2, where s is the side length of a square.  Thus, first do 294/6 to get 49.  Then take the square root of 49 to get that each side of the cube is 7.  The volume of a cube is s^2, so simply do 7*7*7 to get that the volume of the cube is 343cm^3

Hope it helps <3

Answer:

V =343 cm^3

Step-by-step explanation:

The surface area of a cube is given by

SA = 6s^2 where s is the side length

294 = 6s^2

Divide by 6

294 / 6 = s^2

49 = s^2

Take the square root of each side

sqrt(49) = sqrt(s^2)

7 =s

The volume of a cube is

V = s^3

V = 7^3

V =343 cm^3

Answer:

I Believe if so, this is your answer

Step-by-step explanation:

y = e ( x )

OR

y = √ x − 10

Answer:

60 or 70

Step-by-step explanation:

Answer:

The shape is a trapezium; so use the formula for solving area of a trapezium to solve it. Which is

1/2(a+b)×h

=1/2(10+6)×7

=1/2 × 16 × 7

= 8×7

=56

Answer:

2√3π cm

Step-by-step explanation:

area of circle: πr²

area = A²

A =√ 12π

therefore, A = 2 √ 3π

Answer:

answer: 2* pi * sqrt(3)

Step-by-step explanation:

Area = pi * r^2

12*pi = pi * r^2

sqrt(12) = r

r = 2*sqrt(3)

The diameter of the circle is twice as larger.

d = 2(2sqrt(3))

d = 4 sqrt(3)

the circumference of a circle is d*pi

1/2 the circumference is pi*d/2

The arc length =  1/2 the circumference

The arc length = pi*d/2 = pi * 4*sqrt(3)/2 = 2* pi * sqrt(3)

Answer:

part A 1.68

part B 29.67

Step-by-step explanation:

First you multiply $39.99 dollars and  0.30 = $11.9970 you round this to $12.00

After you apply the discount $39.99 - $12.00  = 27.99  

Next you must multiply 27.99*0.06 =1.6794 and round to 1.68 to get tax

Last you add $27.99 and 1.68 to get a total of $29.67 for the headphones

Plz give brainliest i didnt look it up.

The sales tax amount is $1.68, and the total amount paid is $29.66

The price is given as:

[tex]Price = \$39.99[/tex]

The sales tax is given as:

[tex]Sales\ tax = 6\%[/tex]

The discount is given as:

[tex]Discount = 30\%[/tex]

(a) The sales tax paid

Start by calculating the discounted price, using:

[tex]Discount = Price \times (1 - 30\%)[/tex]

So, we have:

[tex]Discount = \$39.99 \times (1 - 30\%)[/tex]

[tex]Discount = \$39.99 \times 0.70[/tex]

[tex]Discount = \$27.993[/tex]

The sales tax is then calculated using:

[tex]Sales\ tax = \$27.993 \times 6\%[/tex]

[tex]Sales\ tax = \$1.67958[/tex]

Approximate

[tex]Sales\ tax = \$1.68[/tex]

(b) The total amount paid

This is calculated as:

[tex]Total = Discount + Sales\ Tax[/tex]

[tex]Total = \$27.99 +\$ 1.67[/tex]

[tex]Total = \$29.66[/tex]

Hence, the sales tax amount is $1.68, and the total amount paid is $29.66

Read more about discounts and sales tax at:

https://brainly.com/question/13961909