The sum of the squares of three consecutive positive even numbers is 12296. Find the product of the three numbers divided by 8.
Answers
Answer:
x² + (x + 2)² + (x + 4)² = 12,296
x² + x² + 4x + 4 + x² + 8x + 16 = 12,296
3x² + 12x + 20 = 12,296
3x² + 12x = 12,276
x² + 4x = 4,092
x² + 4x + 4 = 4,096
(x + 2)² = 4,096
x + 2 = 64
x = 62
The numbers are 62, 64, and 66.
(62 × 64 × 66) ÷ 8 = 32,736
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What is the inverse of the function f(x) = 2x + 1?
Answers
Answer:59.625
Step-by-step explanation: The winner in a swimming race is whoever finished the fastest and that would be 59.625
Answer:
the 59.625 second swimmer.
Step-by-step explanation:
the time for the swimmer to finish the race is the least, so it was the fastest time
Answers
Answer:
Volume ≈ 33.33 cubic feet
Step-by-step explanation:
The question is:
Find the volume of a right square pyramid with base square edges measuring 5 feet each and a height of the pyramid be 4 feet.
So, the base is a square with side length 5 feet.
And the height of the pyramid is 4 feet.
The volume of a pyramid is given by the formula:
Where
a is the square base side length (given as 5)
h is the height of the pyramid (given as 4)
Now we substitute and find the value:
The volume is around 33.33 cubic feet
Answers
400 is the new value and 350 is the original value, so we have an increase of 400 - 350 = 50
So now we find what percentage of 350 is 50.
In math "of" means ×
"is" means =
x × 350 = 50
350x = 50
x = 50/350
x = .1429
multiply by 100 to convert to percent (move decimal to the right 2 places).
.1439 × 100 = 14.29%
So the percentage of increase is 14.29%
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B is the correct answer.
Answers
The solution is, the correct option is f(x) = 5 (x+4)² -2 .
What is function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
As given by the question.
There are given that the equation of current graph:
f(x) = x^2
Now,
According to the question,
There are also given that graph left 4 units, that means
(x+4)²
Then,
Vertical stretching it by a factor of 5 units
So,
The equation will be: f(x) = 5 (x+4)²
Then,
And, shifting the graph down 2 units
So,
f(x) = 5 (x+4)² -2
Hence, the correct option is f(x) = 5 (x+4)² -2.
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Answer:
Step-by-step explanation:
A = 5
B = 1
h = 2
k = -2
Use ABhk
Answers
Answer:
Standard form: 5000
Unit form: 5 thousands.
Step-by-step explanation:
We have been given a number -tens. We are asked to write our given number in unit form and standard form.
To write our given number in standard form, we will expand our given number as shown below:
5-hundreds =
Therefore, our given number in standard form would be 5000.
We know that unit form is writing a number using place value units.
We can see that our given number has 0 ones, 0 tens, 0 hundreds and 5 thousands.
Therefore, our given number in unit form would be 5 thousands.
The unit form is 5 thousand and the standardform is 5 × 10³
What is unit form and standard form?
Unit form is a way to show how many of each size unit are in a number.
is a way of writing down very large or very small numbers easily.
Therefore, the actual value of 500 × 10 is
500 × 10 = 5000
the unit form can therefore be written as;
5 thousand and 0 unit
And the standard form can be written as ;
5000 = 5 × 1000
= 5 × 10³
Therefore the unit form is 5 thousand in and the stand form is 5 × 10³
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