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Stolb23 [73]
2 years ago
11

A

Mathematics
1 answer:
Ludmilka [50]2 years ago
4 0

Answer:

Step-by-step explanation:

d = r * t

Let the rate of the boat in still water = x

Let the rate of the stream = y

Against the current

24 = (x - y)* 4                Divide both sides by 4

24/4 = x - y

6 = x - y

With the current

24 = (x + y )* 3                Divide both sides by 3

24/3 = (x + y)

8 = x + y

Put the two equations together

x - y = 6

<u>x + y = 8</u>                           Add

2x = 14                              Divide by 2

2x/2 = 14/2

x = 7

x + y = 8

7 + y = 8

y = 8 - 7

y = 1

The boat is going 7 miles per hour

The stream is going 1 mile per hour.

 

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(2*2)^2-(3+(2*2)/(6-4) EXPLAINED PLEASE
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PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.

<h3>What is PEMDAS?</h3>

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.

As per the rule of PEMDAS, the given expression can be simplified as shown below.

(2×2)² - [3+(2×2)]/(6-4)

Step 1: Solving Parenthesis,

= 4² - (3+4) / (2)

= 4² - 4/2

Step 2: Solving exponents,

= 16 - 4/2

Step 3: Solving Divisions,

= 16 - 2

Step 4: Solving Subtraction,

= 14

Hence, the solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.

Learn more about PEMDAS here:

brainly.com/question/36185

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Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function f(x)=x^3, and then transform it into the function: g(x)=(x-4)^3-7

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

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