1. Function s is y = 5x - 4
(a) What is the inverse of function s? Show steps to finding it.
(b) Graph the function & its inverse on the same grid. Show at least 3 points on each line.
(c) Is the inverse of function s a function? Explain your answer.

Step-by-step explanation:

g(x) = 3x² + 2x - 1

g(-1) = 3(-1)² + 2(-1) - 1

= 3(1) -2 -1

= 3 - 3

= 0

Answer:

yes

Step-by-step explanation:

it is a function. it i think is a linear function

Answer:

50 cent

Step-by-step explanation:

Answer:

.50¢

Step-by-step explanation:

50 cents = 1 pound

$1.00 = 2 pound

$1.50 = 3 pounds

$2.00 = 4 pounds

basically adding 50 cents equals to $2

Answer:

50 goes to 25 to 12.5 then 6.25%

Step-by-step explanation:

i hope i helped

hope that helps !

I believe the correct answer is H. 1,-5

Answer:

The construct a line through P that is  perpendicular to the line.

Step-by-step explanation:

Given that,

Construct a line through P that is  perpendicular to the line.

We need to construct a perpendicular line P

Using given data

We draw an arc across the line on each side of the point P.

Now, from each arc on the line, draw another arc on the opposite side of the line from the point P.

The  point P to the point where the arcs intersect Q.

Hence, The construct a line through P that is  perpendicular to the line.

The equation of the perpendicular line through point 'P' is [tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex] and this can be determined by using the point-slope form of the line.

The following steps can be used in order to construct a line through P that is perpendicular to the line:

Step 1 - The equation of a line that passes through point 'P' is given below:

[tex](x-x_1)=m(y-y_1)[/tex]

where m is the slope and [tex](x_1,y_1)[/tex] is the point 'P' on the line.

Step 2 - So, the slope of the perpendicular line through point 'P' is:

[tex]mm' = -1[/tex]

[tex]m'=-\dfrac{1}{m}[/tex]

Step 3 - So, the equation of the perpendicular line through point 'P' is:

[tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex]

For more information, refer to the link given below:

https://brainly.com/question/2564656

Answer:

A small learning center holds 48 students

Step-by-step explanation:

A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?

72-24=48

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Let x = cost of a loaf of bread ; y = cost of an egg

Dwayne :

1 loaf of bread and 6 eggs :

X + 6y = 4.45 - - - (1)

Sheila :

X + 12y = 5.65 - - - (2)

From (1);

X = 4.45 - 6y

In (2):

(4.45 - 6y) + 12y = 5.65

4.45 + 6y = 5.65

6y = 5.65 - 4.45

6y = 1.2

y = 0.2

From X = 4.45 - 6y:

X = 4.45 - 6(0.2)

X = 4.45 - 1.2

X = 3.25

Cost of a loaf of bread = $3.25

Coat of an egg = $0.2

Answer:

f(-3) = 10

Step-by-step explanation:

Simply plug in x as -3 to find f(-3):

f(-3) = -6(-3) - 8

f(-3) = 18 - 8

f(-3) = 10

Answer:

75

Step-by-step explanation:

Your target number of calories is 2,400 per day inorder to lose some amount of weight.

Instead 3,200 calories is consumed

Therefore the percentage of target that is consumed can be calculated as follows

= 2,400/3,200 × 100

= 0.75 × 100

= 75

Hence the percentage of calories that is consumed is 75

Answer:

lt is rational number .

Answer: C. 4 1/4 > 2 3/4

Step-by-step explanation: Option C is correct because when comparing mixed numbers, we first compare the whole numbers. In this case, 4 is greater than 2. Then, if the whole numbers are the same, we compare the fractions. In this case, 1/4 is greater than 3/4. Therefore, 4 1/4 is greater than 2 3/4.

- Lizzy ˚ʚ♡ɞ˚

Answer:

Step-by-step explanation:

2/3 x -1/4 + 9/6)

-2/12 + 9/6

-1/6 + 8/6 = 7/6 = 1 1/6

Answer:

Step-by-step explanation:

y - 4 = -(x - 2)

y - 4 =-x + 2

y = -x + 6

Answer:

The perimeter of the shape below is 44.48cm

Step-by-step explanation:

To calculate the perimeter of this figure we have to add

7cm + 12cm + 7cm + ( perimeter of semicircle)

To calculate the perimeter of the semicircle we have to use the following equation

d = 12cm

r = d/2 = 12cm/2 = 6cm

c = perimeter of semicircle

r = radius = 6cm

π = 3.14

c = π * r

we replace with the known values

c = * 3.14 * 6cm

c = 18.84cm

The perimeter of the semicircle is 18.84cm

Now that we have this value we can calculate the perimeter of the figure

7cm + 12cm + 7cm + ( 18.84cm ) = 44.48cm

The perimeter of the figure is 56.84 cm

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: A semicircle on top of the rectangle with dimensions 12, 7 cm respectively .

Thus perimeter of the figure = perimeter of semi circle+ perimeter of rectangle

∴ 3.14×6+2(12+7)=56.84 cm

Hence, The perimeter of the figure is 56.84 cm

Learn more about area here:

https://brainly.com/question/20693059

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3x - y = 5

2x + y = 10  | ×2

x - 2y = -5

4x + 2y = 20

x - 2y = -5

add

4x + x + 2y - 2y = 20 - 5

5x = 15

x = 15 : 5

x = 3

replace x

4(3) + 2y = 20

12 + 2y = 20

2y = 8

y = 8 : 2

y = 4

3x - y =

= 3(3) - 4

= 9 - 4

= 5

Answer: B. 473.176

Step-by-step explanation: 3.78541 Liters are in one gallon, so if you multiply 3.78541 Liters by 125 gallons then you will end up with 473.176 liters. If you have to add tax then it would be A. 475.250

Answer:

A-3:1

Step-by-step explanation:

Simplify 6:2 by dividing by 2

Answer:

Step-by-step explanation

[tex]a^{m} * a^{n} = a^{m+n}\\\\x^{3}*x^{4} = x^{3+4} = x^{7}[/tex]

In product of powers, if base is same, just add the powers

Answer:

The answer would be South x

Step-by-step explanation:

Answer: Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.

Step-by-step explanation:

Lo que tiene la planta es:

Una salsa con 25% de azúcar

Una salsa con 45% de azúcar.

Vamos a definir dos cantidades, A y B.

A es la cantidad de salsa con 25% de azúcar usada, y B es la cantidad de salsa con 45% de azúcar usada.

Como queremos producir 1000 litros de salsa, tenemos la ecuación:

A + B = 1000 L

Ahora, queremos que el producto final tenga 30% de azúcar.

El porcentaje de azúcar se define como:

(Cantidad de azúcar/Cantidad total de salsa)*100%.

Ahora, si la cantidad A tiene 25% de azúcar, entonces la cantidad total de azúcar es:

0.25*A

Y la cantidad B tiene 45% de azúcar, entonces acá la cantidad es:

0.45*B

Entonces cuando los mezclamos, la cantidad total de azúcar es:

(0.25*A + 0.45*B)

Y usando la formula de arriba, tenemos que:

100%*(0.25*A + 0.45*B)/(A + B) = 30%

Ahora divido ambos lados por 100%.

(0.25*A + 0.45*B)/(A + B) = 0.30

Entonces tenemos un sistema de dos ecuaciones:

A + B = 1000 L

(0.25*A + 0.45*B)/(A + B) = 0.30

El primer paso es aislar una de las variables en una de las ecuaciones, en este caso voy a aislar A en la primer ecuación:

A = 1000L - B

Ahora puedo reemplazar esto en la segunda ecuación:

(0.25(1000L - B) + 0.45*B)/(1000L - B + B) = 0.30

Y ahora lo resolvemos para B.

(250 L - 0.25*B + 0.45*B)/1000L = 0.30

250L + 0.20*B = 0.35*1000L = 300L

0.20*B = 300L - 250L = 50L

B = 50L/0.2 = 250L

Entonces:

A = 1000L - 250L = 750L.

Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.

Answer:

B

Step-by-step explanation:

Answer:

38.9 degrees C

Step-by-step explanation:

Use the equation:

[tex]C=\frac{5}{9} (F-32)[/tex]

to convert degrees Fahrenheit  to degrees Celsius. So replace the value for the Fahrenheit with 102 and solve for C:

[tex]C=\frac{5}{9} (F-32)\\C=\frac{5}{9} (102-32)\\C=\frac{5}{9} (70)\\C=\frac{350}{9} \approx38.89\,^oC[/tex]

which to the nearest tenth can be written as: 38.9 degrees C

Answer:

8.71428571

do 61 divided by 7. Simple math.

Answer:

8.714

Step-by-step explanation:

Divide 61 centimeters by the 7 people getting the liquorice to get 8.7142857143.

From here you can round.

I rounded to the thousandths place but you can also round it up to 8.71 or 8.7 or any other digit if it suits your answer.

Hope this helps!

Answer:

t= -0.18

Step-by-step explanation:

Isolate t to get the unknown number:

(-4.5t)(49.5t) = 40

      Multiply (-4.5t)(49.5t):

                     (-4.5t)(49.5t) = -222.75t

      Now, write full equation:

          -222.75t = 40

      Isolate t by dividing -222.75 on both sides:

           [tex]\frac{-222.75}{-222.75}t=\frac{40}{-222.75}[/tex]

      Cancel out left hand side:

            [tex]t=\frac{40}{-222.75}[/tex]

      Simplify your answer:

              [tex]t=-0.17957351[/tex]

      Approximate to 2 decimals:

           [tex]t=-0.18[/tex]

Answer:

The third piece is the longest (10inches)

Step-by-step explanation:

The second piece is 2in

The first is 5in ( 2+3in)

Answer:

The expense of 7 men for 13 days is 18,200 Rs.

Step-by-step explanation:

The expense of 14 men for 8 days = 22400

The expense of 14 men per day = 22400/8 = 2800

The expense of 1 man per day = 2800/14 = 200

The expense of 7 men per day = 200*7 = 1400

The expense of 7 men for 13 days = 1400*13 = 18200

Hope that helps :)