He height of Niagara Falls is 56 meters. How many
kilometers high is Niagara Falls?

Answer:

The number of monthly memberships before the incentive was 100

Step-by-step explanation:

Remember that

The total memberships after the incentive is equal to the total memberships before the incentive

step 1

Find out the annual memberships after the incentive

Let

x -----> monthly memberships after the incentive

y -----> annual memberships after the incentive

we know that

-----> equation A

substitute the value of x in equation A

step 2

Find out the total memberships after the incentive

step 3

Find out the monthly members before the incentive

Let

x -----> monthly memberships before the incentive

y -----> annual memberships before the incentive

we know that

-----> equation A

-----> equation B

substitute equation A in equation B and solve for x

therefore

The number of monthly memberships before the incentive was 100

Final answer:

Initially, there were 100 monthly members at the community pool, before the incentives were offered.

Explanation:

We start with the information that the ratio of monthly to annual memberships was initially 10 to 3, and then became 5 to 8. After the incentive, we're told there are now 50 monthly members.

To solve this problem, we set up a proportion. Since each part of the new ratio equals 10 members (50 monthly members/5 parts = 10 members per part), we can infer that before the incentive there were 10*10=100 monthly members.

Learn more about Proportions here:

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Answer:  g(x) = (x + 1)² + 3

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

• "a" is the vertical stretch
• -a is a reflection over the x-axis
• h is the horizontal shift (positive = right, negative = left)
• k is the vertical shift (positive = up, negative = down)

f(x) = x²

Given: 3 units up   -->   k = 3

           1 unit left    -->   h = -1

                     g(x) = (x + 1)² + 3

The translation of the graph of a function is one where the graph is moved to a different location on the plane that does not include a change in shape or rotation

The resulting function from the translation of the function f(x) = x², 3 units up and 1 unit left, g(x) = x² + 2·x + 4

The process by which the above value for g(x) is found is presented as follows:

The given function f(x) = x²

The vertical translation given to the function = 3 units up

The horizontal translation given to the function  = 1 unit left

The required parameter;

To find the resulting function g(x) that has results from the given translations

Solution:

A translation of a function y = f(x) vertically,k units upwards is the function y = f(x) + k

A translation of a function y = f(x) horizontally, k, units left, is the function y = f(x + k)

Therefore, we get

g(x) = f(x + 1) + 3 = (x + 1)² + 3 = x² + 2·x + 4

g(x) = x² + 2·x + 4

Learn more about translation of functions here:

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Answer: 5x + 4y ≤ 100

Step-by-step explanation:

• x = amount of ice cream($5 each)
• y = amount of pickles($4 each)

5x + 4y ≤ 100

It has to be ≤ 100 because the dude only has $100 and can't exceed that.

According to the system:

5 – 7x + 2y² = -10

1 – 5x – 2y = -22

______________

a) No ; (4, 6) is not a solution to the

system. This point does not touch either equation.

b) No ; (6, 4) is not a solution to the system. This point does not touch either equation.

Solutions:

x = ( 122 ∓ 3√101 ) / 25 ≈ 3.674 or 6.086

y = ( -7 ± 3√101 ) / 10 ≈ 2.315 or -3.715

Answer:

Step-by-step explanation:

Find the marking point for both Sam and Beth and u got ur answer

Answer:

B. a = rⁿ

C. a¹/ⁿ = r

Step-by-step explanation:

ⁿ√a = r

The above expression can be simplified as follow:

1. ⁿ√a = r

Recall:

ⁿ√a = a¹/ⁿ

Therefore,

a¹/ⁿ = r

2. ⁿ√a = r

Take the n square of both side

(ⁿ√a)ⁿ = rⁿ

(a¹/ⁿ)ⁿ = rⁿ

a = rⁿ