HELP ME PLEASE !!!!!!!

Suppose g(x) = f(x-3) -4. Which statement best compares the graph of
g(x) with the graph of f(x)?

A. The graph of g(x) is shifted 3 units right and 4 units up.

B. The graph of g(x) is shifted 3 units left and 4 units down.

C. The graph of g(x) is shifted 3 units left and 4 units up.

D. The graph of g(x) is shifted 3 units right and 4 units down.

Answer:

B will be the answer...

Step-by-step explanation:

The second equation in system B is only in terms of y, so we need to use elimination to eliminate the x term from the second equation in system A.

To do that, we need to multiply the first equation by 5.

5 (-x − 2y = 7)

-5x − 10y = 35

Add to the second equation.  Notice the x terms cancel out.

(-5x − 10y) + (5x − 6y) = 35 + (-3)

-16y = 32

Combining this new equation with the first equation from system A will get us system B.

-x − 2y = 7

-16y = 32

Answer:

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution to system A.

Step-by-step explanation:

exact answer

Based on the upper and lower quartiles of the box plots:

Range for Maths is 60 to 85

Range for Language arts is 60 to 80.

In a box plot, the about half of the data set lies between the upper quartile and the lower quartile which are represented at the beginning and the end of the edges of the box respectively. This makes up 50% of a data distribution.

Thus, for Maths, the Upper and lower quartiles are between 60 to 85, hike that for Language arts are between 60 to 80.

Therefore, 50% of Theos scores for Maths ranges from: 60 to 85, while for Language arts is: 60 to 80.

Learn more about the upper quartile and lower quartile on:

https://brainly.com/question/10005803

#SPJ1

Answer:

[tex]f(z) = z^2-3z+2[/tex]

[tex]f(x+1) = x^2-x[/tex]

[tex]f(\sqrt{2}+1) = 2-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]f(x+1) = x^2+2x+1-3x-3+2[/tex]

[tex]f(\sqrt{2}+1) = 2+2\sqrt{2}+1-3\sqrt{2}-3+2[/tex]

Answer:

No

Step-by-step explanation:

no because just muiltiplying 7.00 * 8 is 56 not inculuding the 99 cents it is already over 50. The answer is 63.92 so a reasonable estimate would be around $60

The answers are as follow:

a) y'= -2x/y

b) y' = -4/y

The technique of implicit differentiation allows you to find the derivative of y with respect to x without having to solve the given equation for y.

Given:

x²y+4y=8

On differentiation

applying product rule

2xy+ x²y'  = 0

2xy = - x²y'  

2y = -xy'

y'= -2x/y

b) equation of the tangent line to the graph when x = 2.

y' = -4/y

Learn more about implicit differentiation here:

https://brainly.com/question/11887805

#SPJ1

The trigonometric expression that can be used to find the height of the tree where the top guy wire attaches is tan(45 + 30)

The height of the tree can be found using trigonometric ratios.

Therefore,

tan ∅ = opposite / adjacent

Hence,

for the higher wire

tan 75 = h / 4

4 tan 75 = h

This can be express as follows:

tan 75 = tan(45 + 30)

Hence,

4 × 3.73205080757 = 14.9282032303 ft = 14.9ft

Hence, the trigonometric expression that can be used to find the height of the tree where the top guy wire attaches is tan(45 + 30)

learn more trigonometry here: https://brainly.com/question/17064152

#SPJ1

The decimal expansion of 2 1/6 is 2.167

The expression is given as:

2 1/6

Rewrite the expression as:

2 + 1/6

Express 1/6 as decimal

2 + 0.167

Evaluate the sum

2.167

Hence, the decimal expansion of 2 1/6 is 2.167

Read more about decimal at:

https://brainly.com/question/1827193

#SPJ1

The profit-maximizing price of​ e-books relating to​ do-it-yourself topics is $5.35 and the average total cost of producing​ e-books is $4.35.

​

a. Profit-maximizing price

The maximum that the firm can earn is $35,000 at a quantity of 35,000 copies

Fixed cost FC = $140,000

Variable cost vc=$0.35 per book

Total Revenue TR =P XQ

Total Revenue TR= P x 35,000

Total Cost TC = FC + VC XQ

Total Cost TC = 140,000 + (0.35×35,000)

Total Cost TC = 140,000 +$12,250

Total Cost TC = $152,250

Profit = TR- TE

35,000 = 35,000P- $152,250

35,000P=187,250

P=187,250/35,000 copies

P=$5.35

b. Average total cost

Average total cost=Total cost/Quantity

Average total cost= $152,250/35,000 copies

Average total cost=$4.35

Therefore the profit-maximizing price of​ e-books relating to​ do-it-yourself topics is $5.35 and the average total cost of producing​ e-books is $4.35.

​

Learn more about Profit-maximizing price and average total cost here:https://brainly.com/question/13310752

#SPJ1

The complete question is:

A firm that sells​ e-books - books in digital form downloadable from the Internet​ - sells all​ e-books relating to​ do-it-yourself topics​ (home plumbing,​ gardening, and so​ on) at the same price. At​ present, the company can earn a maximum annual profit of ​$35,000 when it sells 35,000 copies within a​ year's time. The firm incurs a 35​-cent expense each time a consumer downloads a​ copy, but the company must spend ​$140,000 per year developing new editions of the​ e-books. The company has determined that it would earn zero economic profits if price were equal to average total​ cost, and in this case it could sell 40,000 copies. Under marginal cost​ pricing, it could sell 120,000 copies.

In the short​ run, to the nearest​ cent, what is the​ profit-maximizing price of​ e-books relating to​ do-it-yourself topics? ​

At the​ profit-maximizing quantity, to the nearest​ cent, what is the average total cost of producing​ e-books?

If the value of mean is 781.67, then the standard deviation will be 100. Then the correct option is C.

The complete question is given below.

Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.

700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750

What is the standard deviation of the data? Round to the nearest whole number.

65

75

100

130

It is a metric for statistical information dispersion. The degree of spread indicates how much the result varies.

Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan.

The list represents the approximate number of megabytes of data Grace used each month.

700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750

The mean of the data will be

Mean = (700 + 735 + 680 + ...... + 820 + 750) / 12

Mean = 781.67

Then the standard deviation will be

SD² = [(700 – 781.67)² + (735 – 781.67)² + ..... + (750 – 781.67)²] / 12

SD² = 10072.2222

SD = 100.36 ≈ 100

Then the correct option is C.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

#SPJ1

12.5% is the percentage of numbers randomly generated by Taylor's computer that is less than 0.5.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

The percentage of numbers randomly generated by Taylor's computer are less than 0.5 is given by

P(0≤X≤0.5)

=[tex]\int_{0}^{0.5}\frac{1}{4}dx[/tex]

[tex]=\frac{1}{4}x|^{0.5}_{0}[/tex]

[tex]=\frac{1}{4}(0.5-0)[/tex]

[tex]=0.25(0.5)[/tex]

= 0.125

That is 12.5%

Learn more about density curves here-

brainly.com/question/18345488

#SPJ10

[tex]a - 4 = ( \sqrt{a} - 2)( \sqrt{a} + 2)[/tex]

[tex] \frac{ \sqrt{a} - 2}{a - 4} = \frac{ \sqrt{a} - 2}{( \sqrt{a} - 2)( \sqrt{a} + 2) } = \frac{1}{ \sqrt{a} + 2 } [/tex]

The trigonometry ratios are cos(θ) = -7/√58, sec(θ) = -√58/7 and cot(θ) = -7/3

The point on the terminal side is given as:

(x, y) = (-7, 3)

Start by calculating the hypotenuse using:

[tex]h= \sqrt{x^2 + y^2[/tex]

So, we have:

[tex]h= \sqrt{(-7)^2 + 3^2[/tex]

Evaluate

[tex]h= \sqrt{58[/tex]

The cosine is then calculated using:

cos(θ) = x/h

This gives

cos(θ) = -7/√58

The secant is then calculated using:

sec(θ) = 1/cos(θ)

This gives

sec(θ) = -√58/7

The cotangent is then calculated using:

cot(θ) = cos(θ)/sin(θ)

Where

sin(θ) = y/h

So, we have:

sin(θ) = 3/√58

So, we have:

cot(θ) = (-7/√58)/(3/√58)

This gives

cot(θ) = -7/3

Read more about terminal points at:

https://brainly.com/question/1621860

#SPJ1

Answer: 597

Step-by-step explanation:

The common difference is 5-1=4, so the explicit formula is [tex]a_{n}=1+(n-1)(4)[/tex]

Substituting in n=150,

[tex]a_{150}=1+(150-1)(4)=\boxed{597}[/tex]

Answer:

Step-by-step explanation:

Use interest formula:

Substitute given values and calculate:

Answer:

$ 380

Step-by-step explanation:

We can use the below formula to find the simple interest.

Simple interest = P r t ÷ 100

Here,

P ⇒ Principal ⇒ $ 9500

r ⇒ rate ⇒ 2%

t ⇒ time ⇒ 2 years

Let us solve it now.

Simple interest = P r t ÷ 100

Simple interest = 9500 × 2 × 2 ÷ 100

Simple interest = 38000 ÷ 100

Simple interest = $ 380

∠A ≅ ∠D , BC≅ EF , AC ≅   DF  , option B , C , F are the correct answer.

CPCTC stands for corresponding parts of congruent triangles are congruent .

This means when two triangles are congruent then the corresponding sides are also congruent.

In the given triangles , Δ ABC ≅ ΔDEF

∠A ≅ ∠D

BC≅ EF

AC ≅   DF

Therefore option B , C , F are the correct options

To know more about CPCTC

https://brainly.com/question/14361320

#SPJ1

Answer: r = 121.92 cm

              Volume = 4/3 x 3.14 x [tex]121.92^{3}[/tex]

              7587404.65

Step-by-step explanation:

The radius is given. It's the distance from the center of the sphere to the end. The radius is 4 ft. 1 ft is 30.48cm so 4ft is 121.92cm  

(radius) r = 121.92 cm

Volume = 4/3 x 3.14 x [tex]121.92^{3}[/tex]

             = 4/3 x 3.14 x 1812278.18

             = 4/3 x 5690553.49

             = 7587404.65

Answer:

  $385.50

Step-by-step explanation:

The amount of commission is found by multiplying the commission rate by the value of the sale.

  1.5% × $25,700 = $385.50

A commission of $385.50 is made on an average car sold.

Answer:

5/8

Step-by-step explanation:

5/8=0.6.25

0.625> all the other numbers

Answer:

D. 2√2

Step-by-step explanation:

x² = 8

x = √8

x = √4 x √2

x = 2√2

Step-by-step explanation:

[tex] x {?}^{2} \sqrt{2 \times 2 \times 2} \\ \\ x { }^{2} = 2 \sqrt{2} [/tex]

Solution of 9x+8y=26 and 3x+2y=9 are given by (C)  [tex]\mathbf{x=\frac{10}{3},y=-\frac{1}{2}}[/tex].

We have to plot the graphs of the given two lines or curves, then we have to find the intersection point(s) of the curves or lines. That point is the solution for the system of the equations.

Given equations are,

9x+8y=26 .................(1)

3x+2y=9 ...................(2)

Now multiplying 3 with (2) and then subtracting (1) from that we get,

3(3x+2y)-(9x+8y)=3(9)-26

9x+6y-9x-8y=27-26

-2y=1

y=-1/2, on dividing both sides by -2

Substituting the value of y in (1) we get,

9x+8(-1/2)=26

9x-4=26

9x=26+4

9x=30

x=30/9=10/3

Also if we draw the graphs of the given equations by using graphing calculator we get,

Here in the graph we can see that the lines represented by the given equations intersects each other at point [tex]\left(\frac{10}{3},-\frac{1}{2}\right)[/tex].

Hence the solution is [tex]x=\frac{10}{3},y=-\frac{1}{2}[/tex].

Thus the correct option is (C).

Learn more about System of equations here -

https://brainly.com/question/1365672

#SPJ10

Answer:

a² b² c² equals mc² and that is the answer

The number of customers I would have expected to win the prize is 6.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Based on the probability, the number of customers I would have expected to win: 0.18 x 300 = 36

How many more people I would have expected to win : 36 - 30 = 6

Please find attached the complete question. To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

It takes more to prove that quadrilaterals are similar because there are several quadrilaterals such as rectangle, square, etc.

It should be noted that a quadrilateral simply means a shape that has four sides and four angles.

In orde to prove that triangles are similar, we only need to prove corresponding angles congruency.

On the other hand, it takes more to prove that quadrilaterals are similar because there are several quadrilaterals such as rectangle, square, etc. This makes them more elaborate.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ1

Answer:

-28x^3-28x^2+16x+15

Step-by-step explanation:-28x^3-28x^2+16x+15

The answer is (x+4) (x-2) =x.x

Square (Rug A) has area x times x = x^2 (All sides of square are equal)

x is the side of Rug A

For the Rectangle (Rug B) it mentioned that it has a length of that is 4 ft greater than the length of Rug A. The expression could be written as Length = (x+4)

It also mentions that the width of Rectangle is 2 ft less than Rug A. The expression could be written as Width = (x-2)

So, if you multiply (x+4) and (x-2), will give you the area of rectangle (Rug B)

The question mentions that the area of the rectangle and square are equal, so therefore the answer is (x+4) (x-2) =x.x

Hope it helps!

Answer:

[tex] \dfrac{149}{40} [/tex]

[tex] \dfrac{38}{15} [/tex]

Step-by-step explanation:

[tex] (\dfrac{7}{8} + \dfrac{4}{5}) - (\dfrac{9}{20} + \dfrac{-5}{2}) =  [/tex]

[tex] = (\dfrac{7}{8} \times \dfrac{5}{5} + \dfrac{4}{5} \times \dfrac{8}{8}) - (\dfrac{9}{20} + \dfrac{-5}{2} \times \dfrac{10}{10}) [/tex]

[tex] = (\dfrac{35}{40} + \dfrac{32}{40}) - (\dfrac{9}{20} + \dfrac{-50}{20}) [/tex]

[tex] = \dfrac{67}{40} - (-\dfrac{41}{20}) [/tex]

[tex] = \dfrac{67}{40} + \dfrac{41}{20} \times \dfrac{2}{2} [/tex]

[tex] = \dfrac{67}{40} + \dfrac{82}{40} [/tex]

[tex] = \dfrac{149}{40} [/tex]

[tex] (-\dfrac{6}{4} + \dfrac{3}{2}) + (\dfrac{6}{5} + \dfrac{4}{3}) = [/tex]

[tex] = (-\dfrac{3}{2} + \dfrac{3}{2})+ (\dfrac{6}{5} \times \dfrac{3}{3} + \dfrac{4}{3} \times \dfrac{5}{5}) [/tex]

[tex] = 0 + \dfrac{18}{15} + \dfrac{20}{15} [/tex]

[tex] = \dfrac{38}{15} [/tex]

Answer:

25

Step-by-step explanation:

find the greatest common factor (GCF) of the 3 quantities using prime factorisation.

125 = 5 × 5 × 5

150 = 2 × 3 × 5 × 5

225 = 3 × 3 × 5 × 5

Next, identify those prime factors that the 3 numbers have in common and multiply them.

the common factors are 5 × 5 = 25

then

125 ÷ 25 = 5

150 ÷ 25 = 6

225 ÷ 25 = 9

the 25 students each get 5 apples, 6 oranges and 9 mangoes

Answer:

50.24 mm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2  where r is the radius

A = 3.14 ( 4)^2

   = 50.24 mm^2

Answer:

c. 50.24 square millimeters

Step-by-step explanation:

Radius of circle = 4 milimeters.

Area of a circle = πr²

Area = 3.14 × 4² (π = 3.14)

= 50.24 square millimeters

Answer:

Second choice GD and GF with the LINE symbol over each

Step-by-step explanation:

Angle named DGF means that G ( in the middle) is the vertex so GD would be a line starting at G going out toward D and G F would be a line starting at G going out to F

Answer:

7.5mph

Step-by-step explanation:

Let the average speed of the boat to be x mph.

Total Distance = Avg. Speed x Total Time

60 = ((x+6) + (x-6))(4)

60 = (x+6+x-6)(4)

(2x)(4)=60

2x=60/4

2x = 15

x = 15 /2

x = 7.5mph

Answer:

  15 +√261 ≈ 31.155 mph

Step-by-step explanation:

The time for the trip can be found by dividing the distance by the speed.

__

The relation between time, speed, and distance is ...

  time = distance/speed

The speed for the downstream leg was the sum of the boat speed (b) and 6 mph. The speed for the upstream leg was the difference. So the total trip time was ...

  4 = 60/(b +6) +60/(b -6) . . . total  time is the sum of the times for the legs

__

Multiplying by the product of the denominators, we have ...

  4(b +6)(b -6) = 60(b -6) +60(b +6)

  b² -36 = 30b . . . . divide by 4 and simplify

  b² -30b = 36 . . . . put in a form useful for completing the square

  (b -15)² = 36 +15² . . . . . complete the square

  b -15 = √261 . . . . . . . . take the square root (negative root is extraneous)

  b = 15 +√261 ≈ 31.155 . . . . add 15

The average speed of the boat was about 31.155 mph.