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3 years ago

F(x)= 25 + 4x How would you solve this please show your work. ASAP

Mathematics

1 answer:

kvv77 [185]3 years ago

7 0

Ok so f(x) really just means y so ur equation is
y=4x+25

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What is a simple way to solve for the sum and difference of 2 cubes? For example, 27+64<img src="https://tex.z-dn.net/?f=x%5E3"

salantis [7]

Answer:

(3 + 4x)(9 - 12x + 16x²) = 0

(4m - 1)(16m² + 4m + 1) = 0

Step-by-step explanation:

Here we have to solve the sum of two cubes which is $27 + 64x^{3}$

Now, the equation is $27 + 64x^{3} = 0$

⇒ 3³ + (4x)³ = 0

⇒ (3 + 4x)[3² - 3(4x) + (4x)²] = 0

⇒ (3 + 4x)(9 - 12x + 16x²) = 0

So, (3 + 4x) = 0 or (9 - 12x + 16x²) = 0

Therefore, from the above two relation we can solve for x.

One root will be $- \frac{3}{4}$ and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.

Again, we have to solve the difference of two cubes which is $64m^{3} - 1$

Now, the equation is $64m^{3} - 1 = 0$

⇒ (4m)³ - 1³ = 0

⇒ (4m - 1)[(4m)² + 4m(1) + 1²] = 0

⇒ (4m - 1)(16m² + 4m + 1) = 0

So, (4m - 1) = 0 or (16m² + 4m + 1) = 0

Therefore, from the above two relation we can solve for m.

One root will be $\frac{1}{4}$ and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation. (Answer)

8 0

3 years ago

Without using a calculator convert the decimal into a fraction 0. 75

mojhsa [17]

Step-by-step explanation:

Decimals can always be put over 1, as they're part of a whole number.

$\frac{0.75}{1}$

Multiply both numerator and denominator by 100:

$\frac{0.75 \times 100}{1\times 100} =\frac{75}{100}$

$\frac{0.75}{1} \: and \: \frac{75}{100} \: are \: fractions \: of \: 0.75$

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3 years ago

Solve for x Thanks in advance :)

uranmaximum [27]

Answer:

x = 25

Step-by-step explanation:

Here's my work. Basically, I knew that the x in angle A is alternate interior to angle C, so they would both be x. the 50 degrees is one a 180 degree line, so the inside of the triangle DCB is 130. X must equal x, so they would both be 25 degrees.

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levacccp [35]

Answer:

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Step-by-step explanation:

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