An invertible function is represented by the values in the table.
Which graph shows the inverse of this function?

Answer:

1) 17.80

2) 25.09

Step-by-step explanation:

1) From the diagram,

Opposite = x

Hypotenuse = 22

Angle of elevation = 54°

According to SOH trigonometry identity

sin theta = opposite/hyp

sin 54 = x/22

x = 22sin54

x = 17.798

Hence the value of x is 17.80 to the nearest hundredth

2) Opposite = 11

hypotenuse = x

Angle of depression = 26°

sin 26 = opp/hyp

sin 26 = 11/x

x = 11/sin26

x = 11/0.4384

x = 25.09

Hence the value of x to nearest hundredth is 25.09

Answer:

96.25 unrounded 96.3 rounded

Step-by-step explanation:

Answer:96.3

Step-by-step explanation:7.7/8=.9625 then times that by 100 and get 96.25 but round the 2 since the 5 is behind it and telling it to go up so you get 96.3

Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.

Answer:

y = 2x + 4

Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).

Answer:

Dimension = 6 feet × 3 feet

Step-by-step explanation:

From the question given above, the following data were obtained:

Length (L) = 6 feet

Distance around the fence (Perimeter) = 18 feet

Dimension of the fence =?

Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:

Length (L) = 6 feet

Perimeter (P) = 18 feet

Breadth (B) =?

Perimeter of rectangle is given by:

P = 2(L + B)

18 = 2 (6 + B)

Clear the bracket

18 = 12 + 2B

Collect like terms

18 – 12 = 2B

6 = 2B

Divide both side by 2

B = 6/2

B = 3

Thus, the breadth of the rectangular fence is 3 feet

Dimension of the rectangular fence is given by:

Dimension = length × Breadth

Length (L) = 6 feet

Breadth (B) = 3 feet

Dimension = 6 feet × 3 feet

(3+b)*(4+2b)=3*4+3*2b+b*4+b*2b=

=12+6b+4b+2b^2=12+10b+2b^2=2(6+5b+b^2)=

=2(b^2+5b+6)

Answer:

7

Step-by-step explanation:

15 - 8 = 7

Answer:

C= 37.69ft

A= 113.09ft

Step-by-step explanation:

Circumference=

=37.69

Area=

Area = pi * 6 ^2

Area =113.09

Answer: Choice C [tex]f(x) = \frac{1}{x(x+4)}[/tex]

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

Explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

The vertical asymptote is due to a division by zero error.

When x = 0, the denominator x(x+4) turns into 0 since

x(x+4) = 0(0+4) = 0*4 = 0

Similarly, when x = -4, the denominator is also zero

x(x+4) = -4(-4+4) = -4*0 = 0

So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.

This is why the answer is choice C. [tex]f(x) = \frac{1}{x(x+4)}[/tex]

ANSWER: -1/4

EXPLANATION:

4x-y=9

y=4x-9

(so slope/gradient of this line is 4 as y= mx+c and the coefficient of x here is 4)

(formula for perpendicular slopes) m1 multiplied by m2 = -1, where m= gradient

So, m1 x 4= -1

    m of perp line= -1/4

Answer:

6364 cases

6364 bottles are left

Step-by-step explanation:

From the question, we are given the following

Total bottles of water = 8500bottles

Total cases filled = 2136cases

Required

Number of cases Jane can film with the remaining bottle.

Number of cases Jane can fill = 8500-2136

Number of cases Jane can fill with the remaining bottle= 6364 cases

Number of bottles left = number of cases Jane have left to fill.

Hence;

Number of bottles left = 6364 bottles

Given :

The admission fee at a small fair is $1.50 for children and $4.00 for adults.

On a certain day, 2,200 people enter the fair and $5,050 is collected.

To Find :

How many children and how many adults attended.

Solution :

Let, number of children and adults attended are c and a.

So, c + a = 2200      ....1)

Now, fair collected is given by :

1.5c + 4a = 5050     ....2)

Putting value of a from equation 1) to 2), we get :

1.5c + 4( 2200 - c ) = 5050

1.5c - 4c = 5050 - 8800

2.5c = 3750

c = 1500

a = 2200 - 1500

a = 700

Therefore, 1500 children and 700 adults attended the fair.

Answer:

No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2020

Answer: ∠2 and ∠7

Step-by-step explanation:

Alternate exterior angles are a pair of angles on the outer side of each of the parallel lines but on opposite sides of the transversal.

Hope I helped!

Answer:

Step-by-step explanation:

Figure 1,

EA and EB are the opposite rays.

EC bisects angle FEG.

a). m∠FEC = [tex]\frac{1}{2}(m\angle FEG)[/tex]

   (2x + 6) = [tex]\frac{1}{2}(40)[/tex]

   2x + 6 = 20

   2x = 14

   x = 7

b). ED⊥AB

   Therefore, m∠AED = 90°

    m∠AED = 11y + 13 = 90°

    11y = 90 - 13

    11y = 77

    y = 7

Figure 2,

NC bisects ∠WNB,

Therefore, ∠WNC ≅ ∠CNB

m∠WNC = m∠CNB

3v - 4 = 2v + 6

3v - 2v = 4 + 6

v = 10

Therefore, m∠WNC = x = (3v - 4)

x = 3(10) - 10

  = 30 - 10

x = 20

Answer:

1/4+1/32

Step-by-step explanation:

1/4+1/4=1/2

1/32+1/32=1/16

I hope this helps:

Answer:

-2(y+4)-2y >8

-2y-8-2y>8

-4y-8>8

-4y<8+8          

When you move a number on the other side it changes the side then > will become <

-4y<16

-4y/-4<16/-4

y<-4

Answer:

I think the answer is A, D, E, F, and G.

Tell me if i'm right or wrong please.

Answer:

adefg

Step-by-step explanation:

Answer: r=38.5

Step-by-step explanation:

Use circumference equation 242=2(22/7)r

Answer:

2

Step-by-step explanation:

If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means

there can only be 2.5 different committees because you can't subtract 3 from 8

Answer:

125790 different committees can be chosen.

Step-by-step explanation:

The principal would like to assemble a committee of 8 students from the 20-member student council.

We need to find How many different committees can be chosen?

Since the order is not important, so we use Combinations to solve the question.

The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]

In the question given: we have n = 20 and r = 8

Putting values and finding the number of ways committees can be chosen:

[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]

So, 125790 different committees can be chosen.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-4x-3)-(7x-3) =22​  Equation

Step 2

(-4x-3)-(7x-3) =22​  Simplify

-11x=22

Step 3

-11x=22  Divide

Answer

x=-2

Now we have to,

→ find the required value of x.

Then the value of x is,

→ (-4x - 3) - (7x - 3) = 22

→ -4x - 3 - 7x + 3 = 22

→ -11x + 0 = 22

→ x = -22/11

→ [ x = -2 ]

Thus, the value of x is -2.

Answer:

Whats the Question

Step-by-step explanation:

This doesn't make sense

Answer:

which question is this referred to?

Answer:

y = - 8x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 8, then

y = - 8x + c ← is the partial equation

To find c substitute (- 1, 4 ) into the partial equation

4 = 8 + c ⇒ c = 4 - 8 = - 4

y = - 8x - 4 ← equation of line

Answer:

8x+3

Step-by-step explanation:

Answer:

8x + 3

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Since the first measure is 39 that means the second is 39 because its the same.