The graph of the function f(x)= 6/x-3 is shown below.


(look below)


What is the vertical asymptote of the function?
x = –3
x = –2
x = 0
x = 3

Answer:

11.59 units²

Step-by-step explanation:

Step 1 : Determine radius

From reading the graph, looks like the radius is approx 3.2 units

Alternatively,  calculate the radius:

the height of the triangle AOB = 1 unit, 1/2 base of triangle AOB = 3 units.

Using Pythagorean theorem, hypotenuse OB of a right angle triangle,

= √(1² + 3²) = √10 = 3.16 (pretty close to our estimate above)

Area of major sector,

= [tex]\frac{210}{360}[/tex] * area of full circle

= [tex]\frac{210}{360}[/tex] * 2πr

= [tex]\frac{210}{360}[/tex] * 2π (3.16)

= 11.59 units²

Answer:

-149

Step-by-step explanation:

Just plug in 47

-11+(47-1)(-3)

-11+46(-3)

-11+-138

- 149

Answer:

      = -149

Step-by-step explanation:

an= -11 + (n - 1)(-3)

The 47th term means n = 47

a47 = -11 + (47-1) (-3)

      = -11 + 46 (-3)

      = -11 -138

      = -149

Answer:

See explanation

Step-by-step explanation:

ASA Postulate (Angle-Side-Angle):

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider triangles XYB and ZYA. In these triangles

By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so

BX≅AZ

[tex]\rm \overline{AZ} \cong \overline{BX}[/tex]

Please refer the below solution.

Step-by-step explanation:

Given :

[tex]\rm \angle X \cong \angle Z[/tex][tex]\rm \angle Y \;is\;common[/tex]

[tex]\rm \overline{XY} \cong \overline{ZY}[/tex]

Solution :

According to ASA (Angle Side Angle) postulate:

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then both the triangles are congruent.

Now, consider triangle XBY and ZAY

[tex]\rm \angle X \cong \angle Z[/tex]

[tex]\rm \overline{XY} \cong \overline{ZY}[/tex]

[tex]\rm \angle Y \; is \; common[/tex]

According to ASA postulate triangle XBY and ZAY are congruent. And congruent triangles have congruent corresponding sides, therefore

[tex]\rm \overline{AZ} \cong \overline{BX}[/tex]

For more information, refer to the link given below

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Answer:

250 miles

Step-by-step explanation:

Let number of mile driven be x

plan 1: Cost = 0.7x

plan 2: Cost = 50 + 0.5x

for both plans to cost the same,

Plan 1 Cost = Plan 2 Cost

0.7x = 50 + 0.5x   (solve for x)

0.7x - 0.5x = 50

0.2x = 50

x = 250 miles

Answer:

$2,615 i did the math

If the functions f(x) = 7 + 4x and g(x) =1/2x then the value of  (f/g)(5) is 270, option D is correct.

A relation is a function if it has only One y-value for each x-value.

The given functions are f(x) = 7 + 4x and g(x) =1/2x

We have to find the value of (f/g)(5)

We know that from properties of functions

(f/g)(a)=f(a)/g(a)

So let us find f(5) and g(5)

f(5)=27

g(5)=1/10

(f/g)(5)=27/(1/10)

=27×10

=270

Hence, if the functions f(x) = 7 + 4x and g(x) =1/2x then the value of  (f/g)(5) is 270, option D is correct.

To learn more on Functions click:

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Answer:

f(1) = 1

Step-by-step explanation:

A function can have only one value of y for a given value of x.

Thus, if f(1) = 5, we cannot have f(1) = 1.

We can have f(2) =1 and f(5) = 5, because these are values of y for different values of x,

The first diagram below is the graph of a function, because there is only value of y that corresponds to a given value of x.

The second diagram is not the graph of a function, because there are two values of y that correspond to a given value of x.

However, the top semicircle and the bottom semicircle separately are graphs of functions, because they each have only value of y that corresponds to a given value of x.

Final answer:

The statement that could not be true for a function f(x) where f(1) = 5 is any claim that f(x) takes a different value than 5 for any x within the domain [0, 20], where f(x) is described as a horizontal line. Therefore, if f(1) = 5, it must be true that f(x) = 5 for all x in [0, 20].

Explanation:

If f(x) is a function and f(1) = 5, then it indicates that when we input 1 into the function f, we get the output of 5. The question asks which statements could not be true based on this piece of information and additional details regarding the nature of function f. The provided information suggests that the graph of f(x) is horizontal for 0 ≤ x ≤ 20, which means the output value of f(x) is the same for any input value x within that domain.

Likewise, we can determine some possible characteristics of f(x) based on the nature of continuous functions. Adding a constant to f does not affect the derivative, so despite the value of f at x = 1 being 5, we cannot deduce the exact form of f but can infer its behavior around that point. It is essential to note that when a function is defined as a continuous horizontal line within a certain domain, its value is constant across that domain. As a result, if f(1) = 5 for the function f(x) = a horizontal line on the interval [0, 20], it implies that f(x) must be 5 for all x in that interval.

Therefore, any statement that implies the function has a different value than 5 for any x in [0, 20] cannot be true. For instance, if there were a claim that f(2) ≠ 5 or that f(x) is not defined for some x within the interval where it is supposed to be a horizontal line, such a statement would be false given the function's described behavior.

Answer:

A) No B) The relation f(8) C) x = 3

Step-by-step explanation:

A) In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

B) Lets name the upper table outputs "g(x)", so

[tex]g(8) = 8 \: \: and \: \: f(8) = 8 \times 8 - 5 = 64 - 5 = 59[/tex]

[tex]\: 59 > 8 \: \: therefore \: \: f(8) > g(8)[/tex]

C)

[tex]f(x) = 19 \: \: and \: \: f(x) = 8x - 5 \\ 8x - 5 = 19 \\ 8x = 19 + 5 \\ 8x = 24 \\ x = 24 \div 8 \\ x = 3[/tex]

ANSWER

[tex]w = 50.5[/tex]

[tex]l = 88.5[/tex]

EXPLANATION

The basketball court has a rectangular shape.

The perimeter of this court is calculated using the formula

[tex]P=2(l + w)[/tex]

It is given that,the court has a perimeter of 278ft. Let the width of the court be 'w' units, then the length is "w+38"

The perimeter then becomes:

[tex]2(w + 38+ w) = 278[/tex]

[tex]2w + 38= 139[/tex]

[tex]2w = 139 - 38[/tex]

[tex]2w = 101[/tex]

[tex]w = 50.5[/tex]

[tex]l = 50.5 + 38 = 88.5[/tex]

Check

[tex]P = 2(88.5 + 50.5)[/tex]

[tex]P = 2(139) = 278[/tex]

Answer:

36° and 54°

Step-by-step explanation:

We are given that one of the small angles of a right angled triangle is 18 less than twice the measure of the other small angle.

We are to find the measure of both angles.

Assuming [tex]x[/tex] to be the other small angle, 8 less than twice the measure of the other small angle = [tex]2x-18[/tex].

Summing all three angles up ti get:

[tex]x+(2x-18)+90=180[/tex]

[tex]3x=180-90+18[/tex]

[tex]3x=108[/tex]

[tex]x=\frac{108}{3}[/tex]

x = 36°

So other angle will be [tex]2(36)-18=[/tex] 54°.

Answer:

36° and 54°

Step-by-step explanation:

let x be one of the smaller angles, then the other smaller angle is 2x - 18 ( 18 less than twice the other )

Since it is a right triangle then the sum of the 2 smaller angles equals 90, so

x + 2x - 18 = 90

3x - 18 = 90 ( add 18 to both sides )

3x = 108 ( divide both sides by 3 )

x = 36

One angle = 36°

the other angle = (2 × 36) - 18 = 72 = 18 = 54°

Answer:

C. Third option

Step-by-step explanation:

C is the correct answer, because linear function describes a function in which the y values form a geometric sequence.

Hope this helps!

Answer:

y = -20

Step-by-step explanation:

5 + y = -15

Subtract 5 from both sides to isolate y.

y = -15 - 5

y = -20

Hello!

Answer:

[tex]\boxed{y=-20}\checkmark[/tex]

The answer should have a negative sign.

Step-by-step explanation:

First, you switch sides.

[tex]y+5=-15[/tex]

Then, you subtract by 5 both sides.

[tex]y+5-5=-15-5[/tex]

Finally, you simplify.

[tex]-15-5=-20[/tex]

[tex]y=-20[/tex], which is our answer.

Hope this helps!

Thanks!

Have a nice day! :)

-Charlie

Answer:

0.500.

Step-by-step explanation:

f(x) = 1/16 ^ 1/4

Now 16 ^1/4 = ⁴√16

= 2

so f(x) = 1/2

= 0.500.

Answer:

33?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

fragrance A $26

fragrance B $24

Fragrance A has the greater unit rate

Step-by-step explanation:

To find the price of fragrance A , take the price and divide by the number of bottle

$78/3 bottles = $26 per bottle

To find the price of fragrance A , we can look at the graph and find the price for 1 bottle on the x axis and go up until we hit the red line.  The value of y is 24 dollars

Answer:

B.  44.2 cm3

Step-by-step explanation:

we know that

If the cross-sectional area parallel to the bases of the two figures above is the same at every level

then

the area of the base of the triangular pyramid is the same that the area of the base of the cone

step 1

Find the area of the base of the pyramid

[tex]A=(1/2)[6*4.8]=14.4\ cm^{2}[/tex]

step 2

Find the volume of the cone

The volume of the cone is equal to

[tex]V=\frac{1}{3}Bh[/tex]

we have

[tex]B=14.4\ cm^{2}[/tex]

[tex]h=9.2\ cm[/tex]

substitute

[tex]V=\frac{1}{3}(14.4)(9.2)[/tex]

[tex]V=44.2\ cm^{3}[/tex]

Answer:

D Subtraction Property of Equality

Step-by-step explanation:

Whenever we subtract the same number of expression from both sides of the equation, the equality remains the same.

Reason A.  - Consecutive Interior Angles

Reason B.  - Substitution Property of Equality

Reason C.  - Subtraction Property of Equality

The Property of equality that accurately completes Reason B in the figure and flowchart proof is the Addition Property of Equality (A).

The property of equality that accurately completes Reason B in the figure and flowchart proof is the Addition Property of Equality (A).

The Addition Property of Equality states that if you add the same number to both sides of an equation, the equality is still preserved. In other words, if A + B = B + A, you can add the same number to both sides to obtain A + B + C = B + A + C, where C is any number.

In the given figure and flowchart proof, the equation A + B = B + A represents the Addition Property of Equality, and by applying this property, we can conclude that Reason B should be completed with the Addition Property of Equality (A).

Answer: 49

Step-by-step explanation

Am god

Answer:

5

Step-by-step explanation:

Answer:

the answer is five

Step-by-step explanation:

because

Answer:

The equation can be written as

x+3y=6

To graph, you need to create a table for values of x with corresponding values of y that satisfy the equation

Sample points that solve the equation could be;

(-3,3),(3,1) and (-9,5)

From the graph attached, the three points are;

First you must bring 6 to the other side of the equation so it equals zero. To do this subtract 6 to both sides

20p^2+33p+16 - 6=6​ - 6

20p^2+33p+10=0

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

[tex]ax^{2} +bx +c = 0[/tex]

That means that in this equation...

a = 20

b = 33

c = 10

^^^Plug these numbers into the quadratic equation and solve...

[tex]\frac{-33+/-\sqrt{(33)^{2}-4(20)(10)}}{2(20)}[/tex]

[tex]\frac{-33 +/-\sqrt{1089-800}}{40}[/tex]

[tex]\frac{-33+/-\sqrt{289} }{40}[/tex]

[tex]\frac{-33+/-17}{40}[/tex]

Keep in mind that +/- is ±

[tex]\frac{-33+17}{40}[/tex] ---> -2/5 ---> -0.4

[tex]\frac{-33-17}{40}[/tex] ---> -5/4 ---> - 1.25

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

A. Sector

Step-by-step explanation:

A Sector represents a region of a circle.

Answer:

The one that represents a region of a circle is A: Sector.

Step-by-step explanation:

It is a slice, a piece-slice part of a circle the area between two radiuses and the connecting arc of a circle. The segment of a circle is the region bounded by a chord and the arc subtended by the chord. It differs from the segment because the segment is the region bounded by a chord and the arc subtended by the chord.

[tex]4\cdot3\cdot2=24[/tex]

Answer:

-24 - 4ε

Step-by-step explanation:

100000000000 = 10¹¹ [One hundred billion]

You multiply this by -5 to get -500000000000. Now, "⁻²" means you will be taking the Multiplicative Inverse of whatever this result is, and since it is a long answer, I decided to give it to you in Calculus [Calculator] Notation.

Answer:the answer is ten to the eleventh minus five and then minus itself twice times ten

Step-by-step explanation:

Answer:

1. $(x+0.03) - $x

2. $ 34.21

Step-by-step explanation:

Let the price of XYZ inc's share to be = $ x

On Monday, the price drops by $ 0.02 = $ x- $ 0.02 = $ (x-0.02)

New price of shares on Monday is = $ (x- 0.02)

On Tuesday the price goes up by $0.05 = $ (x-0.02) + $ 0.05 = $(x-0.02+0.05)

New price on Tuesday = $( x+ 0.03)..............................................(a)

Change in price of one share of XYZ's stock= Price on Tuesday - price of share

                                         = $(x+0.03) - $x..........................................(b)

2. Give that x= $34.18  solve equation (a) above

Price on Tuesday at close of business= $ (x+0.03)

                                                               = $ (34.18+0.03)

                                                                = $ 34.21

Answer:

x=6

Step-by-step explanation:

2x+4=16

-4       -4

2x+4-4=16-4

2x=12

/2   /2

2x/2=12/2

x=6

Answer:

x=6

Step-by-step explanation:

2x+4 = 16

Subtract 4 on each side

2x+4-4 = 16-4

2x = 12

Divide each side by 2

2x/2 = 12/2

x = 6

The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,

[tex]110-2x+x+50+5x-40=180[/tex]

Simplify this.

[tex]4x+120=180[/tex]

[tex]4x=60[/tex]

[tex]x=15[/tex]

Now we can find each angle measure.

[tex]110-2x[/tex]

[tex]110-2(15)[/tex]

[tex]110-30[/tex]

[tex]80[/tex]

[tex]x+50[/tex]

[tex]15+50[/tex]

[tex]65[/tex]

[tex]5x-40[/tex]

[tex]5(15)-40[/tex]

[tex]75-40[/tex]

[tex]35[/tex]

So the angle labeled [tex]110-2x[/tex] is the largest angle in the triangle.

Answer:

x=15

biggest angle is 110-2x

Step-by-step explanation:

The correct answer would be C. 2x^2+7x-4. Hope this helps! :)