Which equation represents the pattern in the table?

Answer:

x= -5

Step-by-step explanation:

if youre looking for the x this is the answer.

Answer:

I'm guessing A, but am not sure, as for any number can go there if it's over 9!

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

Answer:

1) Domain = -3 ≤ x ≤ 2

Range = -4 ≤ y ≤ 5

Function? No

Step-by-step explanation:

From the given graph, we have;

The domain of the dot plot = -3 ≤ x ≤ 2

The range of the dot plot = -4 ≤ y ≤ 5

From the given data plot, we have that a straight line joining the data points is in the form of an arrow head with one value of the input (independent) variable, 'x', giving two values of the output (dependent) variable, 'y', such as the input, x = 1, gives two output, y = -2, and y = 3

Therefore, the relation is not a function as one input value produces two output values.

1.

[tex]f(x)=\dfrac1{x-1}=\dfrac1{x-1}+0[/tex]

x-1 = 0  for  x = 1

so:

Vertical asymptote: x = 1

Domain:  Dom f = R\{1}  {or: Dom f = (-∞, 1)∪(1, ∞)}

Horizontal asymptote:  y = 0

Range:    Ran f=R\{0}  {or: Ran f = (-∞, 0)∪(0, ∞)}

2.

[tex]f(x)=\dfrac{-1}{x}+4=\dfrac{-1}{x-0}+4[/tex]

x-0 = 0  for  x = 0

so:

Vertical asymptote: x = 0

Domain:  Dom f = R\{0}  {or: Dom f = (-∞, 0)∪(0, ∞)}

Horizontal asymptote:  y = 4

Range:    Ran f=R\{4}  {or: Ran f = (-∞, 4)∪(4, ∞)}

3.

[tex]f(x)=\dfrac{1}{x+3}-3[/tex]

x+3 = 0  for  x = -3

so:

Vertical asymptote: x = -3

Domain:  Dom f = R\{-3}  {or: Dom f = (-∞, -3)∪(-3, ∞)}

Horizontal asymptote:  y = -3

Range:    Ran f=R\{-3}  {or: Ran f = (-∞, -3)∪(-3, ∞)}

4.

[tex]f(x)=\dfrac{-1}{x+5}-6[/tex]

x+5 = 0  for  x = -5

so:

Vertical asymptote: x = -5

Domain:  Dom f = R\{-5}  {or: Dom f = (-∞, -5)∪(-5, ∞)}

Horizontal asymptote:  y = -6

Range:    Ran f=R\{-6}  {or: Ran f = (-∞, -6)∪(-6, ∞)}

4.

[tex]f(x)=\dfrac{-1}{x+1}+3[/tex]

x+1 = 0  for  x = -1

so:

Vertical asymptote: x = -1

Domain:  Dom f = R\{-1}  {or: Dom f = (-∞, -1)∪(-1, ∞)}

Horizontal asymptote:  y = -6

Range:    Ran f=R\{3}  {or: Ran f = (-∞, 3)∪(3, ∞)}

5.

[tex]f(x)=\dfrac{1}{x+4}-2[/tex]

x+4 = 0  for  x = -4

so:

Vertical asymptote: x = -4

Domain:  Dom f = R\{-4}  {or: Dom f = (-∞, -4)∪(-4, ∞)}

Horizontal asymptote:  y = -2

Range:    Ran f=R\{-2}  {or: Ran f = (-∞, -2)∪(-2, ∞)}

Answer:

the answer is 62!

Step-by-step explanation:

multiply

Answer:

$248

Step-by-step explanation:

310/100=3.1

3.1x20=62

310-62=248$

Answer:

Here is the summary of true statements:

A) The statement of the function modeled is (0, 3) is TRUE.

D) the equation for the line function is y = 2x+3 is TRUE.

E) the given table represents the linear function is TRUE

Step-by-step explanation:

Given the table

x   1      3      5      7

y   5      9      13     17

E)

It is clear that there is a CONSTANT CHANGE in the x and y values of the graph.

THE CONSTANT CHANGE IN X VALUES

i.e. 3-1=2, 5-3=2, 7-5=2

THE CONSTANT CHANGE IN Y VALUES

i.e. 9-5 = 4, 13 - 9 = 4, 17 - 13 = 4

Thus, the given table represents the linear function is TRUE

B)

It is clear that the value of y increase as the value of x increases.

Thus, the statement ''the value of y decreases as the value of x increases'' is FALSE!

D)

We know that the slop-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept.

Determining the equation

Taking two points

(1, 5)

(3, 9)

Finding the slope between (1, 5) and (3, 9)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [9 - 5] / [3 - 1]

               = 4 / 2  

               = 2

Thus, the slope of the line = m = 2

now substituting m = 2 and the point (1, 5) to determine the y-intercept

y = mx+b

5 = 2(1) + b

b = 5-2

b = 3

Thus, the value of y-intercept b = 3

substituting b = 3 and m = 2 in the slope-intercept form

y = mx+b

y = 2x+3

Therefore, the equation for the line function is y = 2x+3 is TRUE

A)

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We already know that the y-intercept b = 3

It means the y-intercept modeled is (0, 3)

Therefore, the statement of the function modeled is (0, 3) is TRUE.

C)

We have already got the equation

y = 2x+3

substituting x = 8

y = 2(8)+3

y = 10+3

y = 13

so at x = 8, the value of y = 13

Therefore, the statement that the ''On a graph of the function when x = 8, the value of y will be 2'' is FALSE!

Conclusion:

Here is the summary of true statements:

A) The statement of the function modeled is (0, 3) is TRUE.

D) the equation for the line function is y = 2x+3 is TRUE.

E) the given table represents the linear function is TRUE

Answer:

Multiple answers (image of work & answers below)

Step-by-step explanation:

Answer:

i was able to get y = 1.3x - 2

Answer:

610.9 km

Step-by-step explanation:

For the plane that is flying at 520km/h:

520km/h * 45minutes * 1h/60minutes = 390 km

For the plane that is flying at 480km/h:

480km/h * 45minutes * 1h/60minutes= 360 km

This is a SAS triangle which means Side angle Side

the formula for this is: a^2 = b^2 + c^2 − 2bc cosA

for this problem it should be:

a^2= (390^2) +(360^2) - 2(390*360)*cos(115)

a should be approximately 610.9 km

Answer:

I believe it's the one on the bottom left

Step-by-step explanation:

I'm still taking my test so I'll come back later to tell you if it's correct.

Answer:

It's the one on the bottom left

Step-by-step explanation:

Answer:

124.1 m

Step-by-step explanation:

Given that:

Depth of mammoth cave = - 124.1 meters

To travel to the bottom of the cave, hence, the hiker is at the maximum depth.

Since the depth of the cave is - 124.1 m and the hiker has traveled down tonthe bottom and hence covered the total depth. Then thebhiker must have descended by the same value corresponding to the depthnifnthe cave = 124.1 meters

Answer: 5 units

Step-by-step explanation:

The shape presented is a triangle and the distance between Link and Ganon is the hypothenuse of that triangle.

This can be calculate using the Pythagoras rule:

c² = a² + b²

c is the hypothenuse.

a in the triangle = base = 4 units

b = height = 3 units

c² = 4² + 3²

c² = 16 + 9

c² = 25

c = √25

c = 5 units

Answer:

wait i'm tho lol

Step-by-step explanation:

Hey there!

The answer to your question is $240.87

First we need to find how much he earned:

9.75 x 30

292.50

Now, we find the amount of all the deductions:

292.50(0.1 + 0.062 + 0.0145)

51.63

Now, we take this off the total pay:

292.50 - 51.63

240.87

The amount of pay after deductions was 240.87

Hope it helps and have an amazing day!

Answer:

$243.34425 round it up to the nearest 100th place

Step-by-step explanation:

9.75*30

=$295.5

=$295.5*10/100

for Federal income tax is $29.55

$295.5*6.2/100

Social Security tax $18.321 round it up $18/32

$295.5*1.45/100

Medicare tax is $4.28475 round it up to the nearest 100ths place $4.28

add all of them

$29.55+$18.321+4.28475= $52.15575 round it up = $52.16

sutract the amount you got paid

$295.5-$52.16=$243.34425

or you could have done

add all the %

10+6.2+1.45=17.65*295.5/100

=52.15575

hope it helped

Answer:

[tex]\mathrm{1.\:D.\:8.4\%}\\\mathrm{2.\:C.\: \$96.60}\\\mathrm{3.\:D.\: \$227.85}\\\mathrm{4.\:B.\:\$490}[/tex]

Step-by-step explanation:

1. The car's initial price was $273. Since the sale price is $250, the car is on a [tex]273-250=\$23[/tex] discount. The percent of discount is the discount price over the initial price:

[tex]\frac{23}{273}\approx \fbox{$8.4\%$}[/tex].

2. Since the weight racks were initially priced $46, then marked up 210%, their mark-up is:

[tex]46\cdot2.1=\fbox{$\$96.60$}[/tex]

*Worth noting that this is the mark-up (as the question is asking), not the total price after the mark-up.

3. The TV's initial price is $325.50. If it's on sale for 30%, it's final price will be [tex]100\%-30\%=70\%[/tex] of the initial price:

[tex]\$325.50\cdot 0.7=\fbox{$\$227.85$}[/tex]

4. The final retail price will be the initial price + the mark-up:

[tex]280+280(0.75)=\fbox{$\$490$}[/tex].

Answer:

its c and no im not scaming L o l

Step-by-step explanation:

Answer:

46.8 inches

Step-by-step explanation:

Taller person = 30% more than height of shorter individual

Waist size of shorter person = 36 inches

Since they are proportioned in the same way:

Waist size of the taller person will be 30% larger than the waist size of the shorter person :

30% increase in size 36

(100 + 30)% of 36

130% of 36

(130 / 100) * 36

1.3 * 36

= 46.8 inches

Answer:

The answer is "Option C".

Step-by-step explanation:

Please find the correct question in the attached file.

[tex]\to 1 \frac{2}{5} = \frac{7}{5} \\\\let \\ \to \frac{7}{5} =1.4\\\\\to \frac{2}{5}= 0.4\\\\\to 1.4- 0.4\\\\ \to 1\\[/tex]

Its outcome is 1.4 if we subtract from 0.4. However, a fraction of less than 2/5 may be deducted. This means that the outcome still exceeds 1, that's why choice C is correct.

Answer:

The answer is 288 minutes

Answer: 2261.9 ft

Step-by-step explanation: One trip around is one circumference of a circle. The circumference is 2πr. That's 2(π)(90 ft) = 565.4867 ft. Multiply by 4 trips around for a total distance of 2261.9 ft If you care about significant figures, then you only have report  sig fig, so that's 2000 ft.

The total distance traveled by the seated person is 2260.8 feet.

Given that the distance from the center of the wheel to the seat is 90 feet. The seated person travels for 4 revolutions.

The distance traveled by the seated person in one revolution will be equal to the circumference of the wheel has a radius of r. Hence the circumference of the wheel is given below.

One revolution = [tex]2\pi r[/tex]

One revolution = [tex]2 \times 3.14\times 90[/tex]

One revolution = 565.2 feet

Hence the distance covered in four revolutions can be calculated as below.

Total Distance = [tex]4 \times 565.2[/tex]

Total Distance = 2260.8 feet

Hence we can conclude that the total distance traveled by the seated person is 2260.8 feet.

To know more about the distance, follow the link given below.

https://brainly.com/question/1214027.

Answer: x= 16

Step-by-step explanation:

Solve for x

√(5x + 1) − √x = 5

Add √x to both sides of the equation.

√(5x + 1)^2 = 5( + √x )^2

To remove the radical on the left side of the equation, square both sides of the equation.

√5x + 12 = (5 + √x)^2

Simplify each side of the equation.

5x + 1 = 25 + 10√x + x

Solve for 10√x.

10√x  = 4x − 24

To remove the radical on the left side of the equation, square both sides of the equation.

(10√x)^2 = (4x − 24)^2

Simplify each side of the equation.

100x  = 16x^2 − 192x + 576

Solve for x.

x = 9/4 , 16  

x = 16

Answer:

[tex]x^{(\frac{1}{5})}[/tex]

Step-by-step explanation:

The expression [tex]\sqrt[x]{y^z}[/tex] can always be be written as its exponential form compatriot [tex]y^{(\frac{z}{x})}[/tex].

Answer:

$80

Step-by-step explanation:

DJ Dan's hourly rate will be $80.

Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.

Assume that the hourly rate is $[x]. Than, we can write -

3.5x + 125 = 405

3.5x = 405 - 125

3.5x = 280

x = (280/3.5)

x = 80

Therefore, DJ Dan's hourly rate will be $80.

To solve more questions on equations, expressions and polynomials, visit the link below -

https://brainly.com/question/17421223

#SPJ2

Answer:

Step-by-step explanation:

the slope would be y2-y1/x2-x1

so the distance is y and the time is x so what you are going to do is 30-18 over 5-3 which then means it would be 12/2 which equals 6

Answer:

92%

Step-by-step explanation:

since i helped can i have brainlst please that would be greatly apericated

Answer:

85%

Percentage solution with steps:

Step 1: We make the assumption that 80 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100% = 80.

Step 4: In the same vein, x% = 68.

Step 5: This gives us a pair of simple equations:

100% = 80(1)

x% = 68(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left-hand side) of both equations have the same unit (%); we have

100%/x% = 80/68

Step 7: Taking the inverse (or reciprocal) of both sides yields

x%/100% = 68/80

__>x = 85%

Therefore, 68 is 85% of 80.