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In Matematika / Sekolah Menengah Atas | 2025-07-03

Diketahui f(x+5)= x² + 4x-3. Jika f-¹(2a-3)= 6, maka nilai dari 4a adalah ....

Asked by zanderx71391

Answer (4)

80
Further explanation
Given:
32 is 40 percent of what number?
The Process:
Let N as the number asked.
The mathematical equation of the question sentence represents as follows:
32 = 40% × N ​
Which can be rewritten to be
40% × N = 32 ​
All we have to do to get the N value is a division operation.
I f a × b = c , t h e n a = c ÷ b or b = c ÷ a ​
I f a × b = c t h e n a = b c ​ or b = a c ​ ​
40% × N = 32 ​
N = 32 ÷ 40% ​
Recall that 40% = 100 40 ​ ​
N = 32 ÷ 100 40 ​ ​ ... Equation-1
Recall that a ÷ c b ​ → a × b c ​ ​
N = 32 × 40 100 ​ ​ ... Equation-2
Both 100 and 40 divided by 10 to make it simpler.
N = 32 × 4 10 ​ ​
32 is crossed out with 4, in other words dividing each other.
N = 8 × 10 ​
Thus, the result is N = 80 ​ ​
Alternative-1:
Recall that 100 40 ​ = 0.40 = 0.4 ​
From Equation-1 above, we rearrange it into
N = 0.4 32 ​ ​
Both the numerator and denominator are multiplied by 10.
N = 4 320 ​ ​
Thus, the result is N = 80 ​ ​
Alternative-2:
From Equation-2 above, both 100 and 40 are divided by 20.
N = 32 × 2 5 ​ ​
32 is crossed out with 2, in other words dividing each other.
N = 16 × 5 ​
Thus, the result is N = 80 ​ ​
Alternative-3:
40% × N = 32 ​
Both sides are multiplied by 40 100 ​ ​
N = 32 × 40 100 ​ ​
N = 32 × 4 10 ​ ​
N = 32 × 2 5 ​ ​
N = 16 × 5 ​
Thus, the result is N = 80 ​ ​
Learn more

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Keywords: 32 is 40 percent of what number, a division operation, fraction, multiply, 80, decimals, alternative steps, the mathematical equation

Answered by BladeRunner212 | 2024-06-12

The unknown number (x) is equal to 80.
This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.
We have,
To explain further, let's break down the calculation step by step:
We are given that 32 is 40 percent of some unknown number. Mathematically, this can be represented as:
32 = 0.40 x
To find the unknown number (represented by x), we want to isolate it on one side of the equation.
By dividing both sides of the equation by 0.40, we eliminate the 0.40 on the right side, and we have:
32 / 0.40 = x
Simplifying the left side:
80 = x
Therefore,
The unknown number (x) is equal to 80.
This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ6

Answered by swapnalimalwadeVT | 2024-06-17

The unknown number for which 32 is 40 percent is 80. This was found using the equation 32 = 0.40 * x. The calculation confirms that 32 is 40 percent of 80.
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Answered by swapnalimalwadeVT | 2024-12-19

Jawab:Penjelasan dengan langkah-langkah:Nilai dari 4a adalah 10. \\. Fungsi invers menyatakan bahwa jika f^{-1}(y)=x , maka f(x)=y . Kita menggunakan fungsi yang didefinisikan ...

Answered by sabarish1305 | 2025-07-07