How do I find the value of x?

The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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Answer:

For the equation you can first done it through a table of x axis and y axis. First find out the x and intersect. Then find the value of x when y from 0 to 10 or as much as you want. Next draw the axis on the graph and lable the intersection of both x and y. Lastly draw the graph. Thank you and please rate me as brainliest.

Answer:

Step-by-step explanation:

d=13

r=6.5

A= πr2

A= π(6.5) to the power of 2

A= 42.25π

A=132.73

that is the big circle, now we subtract the 2 small circles area from it.

d=6

r=3

A= πrto the power of 2

A= π(3) to the power of 2

A=9π

A=28.27

since there is 2, 28.27x2=56.54

132.73-56.54=76.19

A=76.19

----------------------------------------------------------------------

for perimeter, it would be

C=2πr

C=2π6.5

C=13π

C=40.84

if your teacher wants it with the inner circles as well then just add all 3.

small inner circle:

C=2πr

C=2xπx3

C=6π

C=18.84

x2

(part 1)

--------------------------------------------------------------

page 2

lets first get the circle out of the way

same process

d=5

r=2.5

A= πrto the power of 2

A= π(2.5) to the power of 2

A=6.25π

A=19.63

divide that by 2, since its a half circle

A=9.82

-----------------------------------------------------------

C=2πr

C=2π(2.5)

C=5π

C=15.70

once again, divide by 2

C=7.85

------------------------------------------------------------

now lets get the rest

A=wl

A=6x3

A=18

-----------------------------------------------------------

P=a+b+2c

P=5+7+2(3.16)

P=15.16

then we subtract the opening from the circle, which would be the r

15.16-5=10.16

plus the C for circle,

10.16+7.85=23.01

---------------------------------------------------------

add the 2 area

18+9.82=27.82

---------------------------------------------------------

A=27.82unit square

C=23.01

part 2 finish

-------------------------------------------------------------

part 3

again, circle first

d=5

r=2.5

A= πrto the power of 2

A= π(2.5) to the power of 2

A=6.25π

A=19.63

since its 2 half, we dont have to divide by 2, its just 1 circle

---------------------------------------------------------------------

C=2πr

C=2π(2.5)

C=5π

C=15.70

------------------------------------------------------------------------

A=wl

A=15x5

A=75

subtract the circle

75-19.63=55.63

-----------------------------------------------------------------------

P=w+2(l)+5

P=15+10+5

P=30

add the circle

30+15.70=45.7

---------------------------------------------------------------------

A=55.63 unit square

P=45.7

(part 3 done)

9514 1404 393

Answer:

  $970

Step-by-step explanation:

If we assume that the $1295 selling price of the first color television was paid to Camarena, and that he had no costs other than the ones described, then his profit was ...

  $1295 -25 -300 = $970

The required angle is 35 degrees whose supplementary angle is 35 degrees more than twice its complementary angle.

The definition of a supplementary angle is that it adds up to 180 degrees.

Let's represent the required angle as "x".

We know that the supplementary angle to "x" is 180 - "x".

Similarly, the definition of a complementary angle is that it adds up to 90 degrees, so we know that the complementary angle to "x" is 90 - "x".

Given that the supplementary angle to "x" is 35 degrees more than twice its complementary angle, so we can write this as an equation:

180 - x = 2(90 - x) + 35

Simplifying this equation, we get:

180 - x = 180 - 2x + 35

Adding x to both sides, we get:

x = 35

Therefore, the required angle is 35 degrees.

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Answer:

3+17=p

p= 20p

Step-by-step explanation:

Answer:

Make 1/8 a reciprocal which would be 8/1 so 3/4 x 8/1 is 24/4 = 6

Answer:

The total cost per month is $190.76 to the nearest cent.

Step-by-step explanation:

From the given table, the monthly service plan costing $52.00 is:

The base calling plan includes two lines.

Therefore, for 4 lines, we will need to pay for 2 additional lines per month:

⇒ $21.99 × 2 = $43.98 per month

If 3,487 minutes are used per month, then the overage of minutes is:

⇒ 3487 - 2000 = 1487 minutes per month

As the overage rate is $0.06 per minute, then the cost of the additional minutes is:

⇒ 1487 × $0.06 = $89.22 per month

Therefore, the total cost per month before tax is:

⇒ $52.00 + $43.98 + $89.22 = $185.20

To apply the federal tax of 3%, multiply the total cost by 1.03:

⇒ $185.20 × 1.03 = $190.756 = $190.76 (nearest cent)

Therefore, the total cost per month is $190.76 to the nearest cent.

The measure of the angles are:

∠1 = 90

∠2 = 90

∠3 = 132

We have,

The angle between the tangent and the radius of a circle is 90.

So,

∠1 = 90

∠2 = 90

And,

48 + 90 + 90 + ∠3 = 360 ______(1)

Solve for ∠3 from (1).

48 + 90 + 90 + ∠3 = 360

48 + 180 + ∠3 = 360

∠3 = 360 - 228

∠3 = 132

Thus,

The measure of the angles are:

∠1 = 90

∠2 = 90

∠3 = 132

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is d because

20 is "=" 5 times "×" as 4

so the formula derived is

20= 5x4

is represents =

times represents ×

hope you get it

Answer:

1

Step-by-step explanation:

Summary. Currency value is determined by aggregate supply and demand. Supply and demand are influenced by a number of factors, including interest rates, inflation, capital flow, and money supply. The most common method to value currency is through exchange rates.

Answer:

D. 110

Step-by-step explanation:

First let's start by finding the measure of Angle ACB. Since angles in a triangle add up to 180 degrees:

ACB=180-(50+60)

ACB=180-110

ACB=70

We can also see that Angle X is supplementary/linear pair with Angle ACB. This means that Angle X+Angle ACB is equivalent to 180 degrees.

So...

x=180-ACB

x=180-70

x=110 degrees

Answer:

1.57ft

Step-by-step explanation:

The circumference is twice the radius times pi.

C=2πr

C=2·π·5

C=10π

C=31.4159265359

We know that KL is 18° of that (180-162).

So we get the formula

31.4159265359÷360x18=1.57

Answer:

All quadrilaterals are four sided shape.

Step-by-step explanation:

Four sided shape can be:

- Square

- Trapaziod

Four sided shape can be called a quadrilateral.

Answer:

Robert will have $481 more in his account than Cooper.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

Similar to compound interest:

\(A(t) = P(1 + r)^t\)

Cooper:

Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that \(P = 3100, r = 0.02, n = 4\)

After 12 years is A(12). So

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

\(A(12) = 3100(1 + \frac{0.02}{4})^{4*12}\)

\(A(12) = 3938.5\)

Cooper will have $3938.5 in his account.

Robert:

Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So \(P = 3100, r = 0.03\).

After 12 years.

\(A(t) = P(1 + r)^t\)

\(A(12) = 3100(1 + 0.03)^{12}\)

\(A(12) = 4419.9\)

Robert will have $4419.9 in his account.

How much more money would Robert have in his account than Cooper, to the nearest dollar?

4419.9 - 3938.5 = 481.4

To the nearest dollar, Robert will have $481 more in his account than Cooper.

Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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The possible solution of (12, 36) make sense for this function; option A

Yes. The input and output are both possible.

f(x) = 2x + 12

where,

x = number of players at the practice

The possible solution (x, y) = (12, 36)

So,

f(x) = 2x + 12

f(12) = 2(12) + 12

= 24 + 12

= 36

Ultimately, yes, the input and output are both possible.

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Answer:

Step-by-step explanation:

Answer:

56 square tiles to do the floor

Answer:

Step-by-step explanation:

56 is the correct answer

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder  = 18mm

radius  = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

 Volume  = π r ² h

Insert the given parameters and solve;

 Volume  = 3.14 x 18² x 18

 Volume  = 18312.5mm³

Answer:

282.6

Step-by-step explanation:

volume= h*(pie*r^2)

3*3=9

9*pie=28.26

10*28.6=282.6

Draw the graph of x-axis which is lesser than 5 .

What is  Graph inequality ?

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The y-intercept is obtained by substituting x=0 in the given function

Here

y=-2x+6

setting x=0 gives

y=-2(0)+6=6

=>

The y-intercept of y=-2x+6 equals 6.

========================================================

Explanation:

Recall the standard form of a quadratic is ax^2+bx+c

The 'b' is the coefficient of the x term. In this case, b = -6

Cutting that in half yields b/2 = -6/2 = -3

Then squaring that result gets us (b/2)^2 = (-3)^2 = 9

We must add 9 to both sides to complete the square.

--------

Extra info (optional section):

If we added 9 to both sides, we could then say the following

1 = x^2 - 6x

1+9 = x^2 - 6x + 9

10 = (x - 3)^2

(x-3)^2 = 10

Which would be useful to apply the square root rule to help isolate x.

The image you described features a number line that goes from 0 to 6.5 in increments of 0.5.

On this number line, there is an arrow that starts at 0 and extends to 2.5, and then continues from 2.5 to 5.

This image can be visualized as follows:

0        1        2        3        4        5        6        6.5

|--------|--------|--------|--------|--------|--------|--------|

        |------------------------|------------------------|

             0 to 2.5                 2.5 to 5

The vertical lines represent the increments of 0.5 on the number line, and the arrow indicates the segments from 0 to 2.5 and from 2.5 to 5.

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Answer:

She buys 9 adult tickets and 4

Step-by-step explanation:

In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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