Find the geometric mean between pair of numbers.
20 and 25

The graph when translated 5 units up is g(x) = 3x + 5.

Consider a parent function f(x),

When translating a function up or down by a value (say b), you let g(x) = f(x) + b

If b is positive your graph is translated up, if b is negative your graph is translated down.

When translating a function to the right or left by a value (say a) you let g(x) = f( x + a).

If a is positive your graph is translated to the left, if a is negative your graph is translated to the right.

Therefore, the function g(x) when the graph of the function f(c) = 3x is translated 5 units upwards will be:

g(x) = f(x) + 5

g(x) = 3x + 5

The function g(x) when the graph of f(x) is translated 5 units up is g(x) = 3x + 5.

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When the graph of f(x) is translated five units up, the function g(x) becomes g(x) = 3x + 5.

Given function is , f(x) = 3x

We can get,

f(1) = 3(1) =3

f(2) = 3(2) = 6

f(3) = 3(3) = 9

f(0) = 3(0) = 0

f(-1) = 3(-1) = -3

f(-2) = 3(-2) = -6

x             1           2            3           0            -1             -2

f(x)          3          6            9           0            -3             -6

Let us assume, new function is g(x)

Think about the parent function f. (x),

If you want to scale a function up or down by a certain amount, let g(x) = f(x) + b.

Your graph is translated upward if b is positive and downward if b is negative.

Let g(x) Equal f(x + a) when moving a function to the right or left by a certain amount (let's say a).

Your graph will be translated to the left if an is positive and to the right if an is negative.

As a result, when the graph of the function f(c) = 3x is translated 5 units upward, the function g(x) will be as follows:

g(x) = f(x) + 5     (because 5 units up)

We can substitute f(x) value,

g(x) = 3x + 5

Therefore,

The function g(x) when the graph of f(x) is translated 5 units up is g(x) = 3x + 5.

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The answer should be $2.16.

Explanation:

1.5 pounds is 24 ounces

24 divided by 4 = 6

So, 0.36 x 6 = $2.16

---------------------------------------------------------

Hope this helps!

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The value of the expression given as negative one sixth times the quantity 3 minus 15 times the quantity one third squared is 2/9

The expression is given as:

negative one sixth times the quantity 3 minus 15 times the quantity one third squared

Rewrite the above expression properly as

-1/6(3 - 15) * (1/3)^2

Evaluate the square in the above expression

-1/6(3 - 15) * 1/9

Evaluate the difference in the above expression

-1/6 * - 12 * 1/9

Evaluate the product in the above expression

2/9

Hence, the value of the expression given as negative one sixth times the quantity 3 minus 15 times the quantity one third squared is 2/9

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Answer:

The value of the expression given as negative one sixth times the quantity 3 minus 15 times the quantity one third squared is 2/9

Answer:

inverse

In math, a reciprocal is also called an inverse.

Step-by-step explanation:

Answer:

A correlative is another name for a reciprocal.

Correlative:

A degree into which 2 or more values are associated.

There will be total 6 pathways to directly connect to every other building

It is given that,

There are four buildings on the Mansfield High School Campus with a condition that none of the three can stand in straight line.

We need to find,

The total number of ways through which all the four buildings can be directly connected with each other in such a way that none can stand in straight line

Firstly, Let us consider that the buildings are arranged on the corner points of an imaginary square.

Then the number of ways through which all four buildings can be directly connected is by going straight from one building to other by following the imaginary square boundary lines = 4

the number of ways through which all four buildings can be directly connected is by going diagonally from one building to other by following the diagonal of the imaginary square = 2

Hence, The total number of pathways to directly connect to every other building = 4 +2 = 6

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Answer:

(-9,4)

Step-by-step explanation:

(-4-5,2+2)

Answer: 2 1/2 as a decimal is 2.5

2 as a decimal is 0.02

Step-by-step explanation:

Answer:[tex]x= \frac{f (x) - 5}{4}[/tex]

Step-by-step explanation:

f(x) = 4x+5

- 5 for both

f(x) - 5  = 4x+5 -5

4x = f (x) - 5

divided 4 for both

(4x)/4 = (f (x) - 5) / 4

[tex]x= \frac{f (x) - 5}{4}[/tex]

Answer:

if the experiment continued under the same conditions.

Answer: if the experiment continued under the same conditions.

Step-by-step explanation:E2022

Answer:

26.5

Step-by-step explanation:

Planteamiento:

a - 1 = 3b

a + b = 35

Desarrollo:

de la primer ecuación del planteamiento:

a = 3b + 1

sustituyendo este último valor en la segunda ecuación del planteamiento:

(3b+1) + b = 35

4b = 35 - 1

4b = 34

b = 34/4

b = 8.5

de la segunda ecuación del planteamiento:

a + 8.5 = 35

a = 35 - 8.5

a = 26.5

Comprobación:

de la primer ecuación del planteamiento:

a - 1 = 3b

26.5 - 1 = 3*8.5

25.5 = 25.5

Respuesta:

ya que:

26.5>8.5

El número mayor es:

26.5

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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For each line,  an equation in slope-intercept form :

y = (-1/4)x - 2 .

Summary of the lesson. The slope-intercept form is just a means of stating a line's equation so that the slope (steepness), as well as y-intercept (where the line crosses the vertical y-axis), as well as y-intercept (where the line crosses the vertical y-axis), are obvious. This form is also known as the y = MX + b form.

The slope, m, of a line represents its steepness. The slope of something like the line is however termed a gradient, sometimes. A line's y-intercept, b, represents the y-coordinate of something like the point where the line's graph intersects the y-axis.

To begin, use the slope formula to determine the average slope here between two points.

m = (y2-y1)/(x2-x1)

= (-1 - (-4))/ (-4-8)

= 3/(-12)

= -1/4

So the slope is -1/4.

We must now determine the y-intercept. This will be accomplished by converting a single of the points and indeed the slope through into point-slope form of something like a linear equation, which is y2-y1 = m(x2-x1).

Let’s plug in the point (8,-4).

So we get y-(-4) = (-1/4)(x-8) ⇒  y+4

= (-1/4)x + 2  ⇒  y

= (-1/4)x - 2.  

So y = (-1/4)x - 2  

For each line, write an equation in slope-intercept form y = (-1/4)x - 2.

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The simplification of each sum or difference of given expression [tex]\frac{m}{3m+6}- \frac{4m}{m+2}[/tex] is equal to (-11m)/ 3(m+2). Restriction on the variables is given by m ≠ -2.

As given in the question,

Given expression is [tex]\frac{m}{3m+6}- \frac{4m}{m+2}[/tex]

Simplify the expression by taking the least common multiple

[tex]\frac{m}{3m+6}- \frac{4m}{m+2}\\\\= \frac{m}{3(m+2)}- \frac{4m}{m+2}\\\\= \frac{m -12m}{3(m+2)}\\ \\= \frac{-11m}{3(m+2)}[/tex]

Restriction on the variables is given by m ≠ -2.

Therefore, the simplification of each sum or difference of given expression [tex]\frac{m}{3m+6}- \frac{4m}{m+2}[/tex] is equal to (-11m)/ 3(m+2). Restriction on the variables is given by m ≠ -2.

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The recursive formula for sequence 1,4,9,16, . . .  is a(n) = 2 a(n-1) - a(n-2) + 2

The recursive formula of a sequence is a formula that relates the nth term of the sequence with the preceding term(s), (n-1)th, (n-2)th, and so on.

The given sequence is: 1,4,9,16, . . .

So, we must ask ourselves:

How can we get 4 from 1?

How  can we get 9 from 4 and 1?

and so on.

Notice that:

4 = 1 + 3

9 = 4 + 5

16 = 9 + 7

Notice that the differences (3, 5, 7) increase by 2.

Therefore, we can write:

4 = 1 + 3

  = 1 + (1 - 0) + 2

9 = 4 + (4 - 1) + 2       (9 is a(3), and 4 is a(2))

a(3) = a(2) + a(2) - a(1) + 2

       = 2 a(2) - a(1) + 2

16 = 9 + (9 - 4) + 2

a(4) = a(3) + a(3) -a(2) + 2

a(4) = 2 a(3) - a(2) + 2

Continue this process, we get:

a(n) = 2 a(n-1) - a(n-2) + 2

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The cost of 3 pens will be 27P and the cost of 2 rulers will be 30p.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the cost of 5 pens and 3 rulers is 90p the cost of 2 pens and 1 ruler is 33p. the cost of 3 pens and 2 rulers will be calculated as below:-

From the equations and solve:-

5p + 3r = 90p

2p + r = 33p

5p + 3r = 90p

-6p - 3r = -99p

Cost of one pen P = 9

The cost of the 1 ruler:-

2p + r = 33p

2 x 9 + r = 33

18 + r = 33

r = 33 - 18

r = 15

Cost of 3 pens = 3 x 9 = 27

Cost of 2 rulers = 2 x 15 = 30

Therefore, the cost of 3 pens will be 27P and the cost of 2 rulers will be 30p.

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The car comes to a complete stop when t = 14secs.

What is velocity  ?

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. Put another way, speed is a scalar value, while velocity is a vector.

Given:

velocity v(t) = 0.5t^2 – 14t + 80

Differentiating the equation with respect to t to get the velocity,

we get ,

dv/dt = 2 x .05t - 14

when the car stops the velocity becomes 0.

Therefore,

2 x .05t - 14= 0

=> t = 14 secs

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Question:

A car's velocity is modeled by v(t) = 0.5t2 – 14t + 80 for 0 ≤ t ≤ 14, where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop?

20 seconds

14 seconds

8 seconds

4 seconds

The cost of the pizzas that Christina bought will be $4.30.

From the information, The cost of a large pizza is $0.90 and the cost of a small pizza is $0.70. Christina bought 4 large pizzas and 1 small pizza.

The number of pizzas will be:

= 4 + 1

= 5 pizzas

The cost will be:

= 4($0.90) + 1($0.70)

= $3.60 + $0.70

= $4.30

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The cost of a large pizza is $0.90 and the cost of a small pizza is $0.70. Christina bought 4 large pizzas and 1 small pizza. How much pizza did Christina buy how much did she pay?

72/6=12

that means every tutor would have 12 students. if the academy has 120 students then we divide 120 by 12 to get 10. That means the academy needs 10 tutors.

The inequality  [tex]5.5+37.93d\leq300[/tex] should be used to calculate the number of days.

What is an inequality?

The relationship between two non-equal expressions, denoted by a symbol such as 'not equal to, 'greater than' or 'less than' is known as inequality.

She drives 50 miles and per mile it costs $0.11.

So, for 50 miles, cost = 50 x $0.11 = $5.5

and per day cost = $37.93

Thus, the inequality that must be used to calculate number of days is

  [tex]5.5+37.93d\leq300[/tex]

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The order number that conveys a different information between the two analytical reports presented in tabular form is Order 102

The report that accompanies a similar question consists of two tabular forms of (analytical) reports, as follows;

Report 1.

Order. Stock # Qty

101. 27–671. 1

102. 27–781. 2

103. 27–090. 3

Report 2.

Order. Stock # Qty

101. 27–671. 1

102. 27–783. 2

103. 27–090. 3

From the above reports, by examination, we have at order 102

Stock number (Stock #) for Order 102 in Report 1 = 27–781

Stock number (Stock #) for Order 102 in Report 2 = 27–783

Therefore;

The order(s) that have (has) a different information between the reports is; Order 102

The correct option is therefore;

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A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle.

The diameter of the circle is 28 inches.

In geometry, a circle's diameter is any straight line segment that passes through the center of the circle and has endpoints on the circle. It is also referred to as the circle's longest chord. Both definitions apply to a sphere's diameter.

The diameter is twice the radius because the greatest distance between two points on a circle must be a line segment through the center of the circle.

Here, CF is a radius and the diameter is twice the radius.

Diameter of a circle = 2r

d = 2r

Where, r = 14

Diameter of a circle, d = 2r

Diameter of a circle = 2(14)

Diameter of a circle = 28

Therefore, the diameter of the circle is 28 inches.

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Answer:

C. The classmate was supposed to multiply the exponents.

Step-by-step explanation:

[tex] { ({2}^{3}) }^{2} = {2}^{6} = 64[/tex]

Answer:

C

Step-by-step explanation:

your classmate multiplied the exponenets

Answer:

She bought 8.625 wings

Step-by-step explanation:

We can use a ratio to solve

3               x

-------   = ----------

8.80        25.30

Using cross products

3 * 25.30 = 8.80x

75.9 = 8.80x

Divide each side by 8.8

75.9/8.8 = 8.8x/8.8

8.625 = x

She bought 8.625 wings

The description of the transformation that occurs to any given point is a 4 unit left translation and 8 units up translation

The rule is given as

(x,y) --> (x-4, y+8)

The above rule represents a translation transformation

This is evident because it has the format

(x,y) --> (x + h, y + k)

By comparison, we have

h = -4

k = 8

This represents a 4 unit left translation and 8 units up translation

Hence, the description of the transformation that occurs to any given point is a 4 unit left translation and 8 units up translation

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a) Each side of the square is 9 cm long. b) The perimeter of the shape is 18 cm.

Perimeter refers to the total length of the boundary or outer edge of a two-dimensional shape.

a) The perimeter of a square is the sum of the lengths of all its sides. Since all sides of a square are equal, we can divide the perimeter by the number of sides to find the length of one side:

Perimeter of square = 4 x Length of one side

36 cm = 4 x Length of one side

Divide both sides by 4:

Length of one side = 36 cm / 4 = 9 cm

Therefore, each side of the square is 9 cm long.

b) To find the perimeter of the shape made by cutting an equilateral triangle from a rectangle, we need to add up the lengths of all its sides.

The length of the rectangle is equal to the length of the base of the equilateral triangle plus the length of one of its sides. Since the equilateral triangle has all sides equal, we can find its length by dividing the length of the rectangle by 2:

Length of equilateral triangle = Length of rectangle / 2

Length of equilateral triangle = 7.2 cm / 2 = 3.6 cm

The perimeter of the equilateral triangle is three times its side length:

Perimeter of equilateral triangle = 3 x Length of one side

Perimeter of equilateral triangle = 3 x 3.6 cm = 10.8 cm

The perimeter of the shape is the sum of the length of all its sides, which is the sum of the length of the rectangle and the perimeter of the equilateral triangle:

Perimeter of shape = Length of rectangle + Perimeter of equilateral triangle

Perimeter of shape = 7.2 cm + 10.8 cm = 18 cm

Therefore, the perimeter of the shape is 18 cm.

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a) If a square has a perimeter of 36 cm, how long is each side of the square?

b) The following shape is made by cutting an equilateral triangle from a rectangle. Find its perimeter.

7.2 cm

13 cm

18 cm

23 cm

-5a+8a=-20+10.4

-3a=-10.4a

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

Work Shown:

5a^2

5(2)^2

5(4)

20

Explanation:

I replaced 'a' with 2, since a = 2. Then use PEMDAS to simplify the expression into one single number at the end. The value b = 6 won't be used at all since b is not found anywhere in the original expression.

Answer:

5a² = 20

Step-by-step explanation:

Given expression,

→ 5a²

Now we have to,

→ Evaluate the given expression.

We have to use,

→ a = 2

→ b = 6

Let's evaluate the expression,

→ 5a²

→ 5 × (a)²

→ 5 × (2)²

→ 5 × 4

→ 20 => {solution}

Therefore, the answer is 20.

1:4 is the ratio of the pigeon's aorta radius to that of the goose.

So,

Canceling it to the simplest form:

So, the ratio is 1:4.

Therefore, 1:4 is the ratio of the pigeon's aorta radius to that of the goose.

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