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4 years ago

6

For which value of x( from 1 to 10) is y the greatest?

1 answer:

qwelly [4]4 years ago

4 0

10 i think..... plz don't report me

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Solve 12^x^2+5x-4 = 12^2x+6

faust18 [17]

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

$12^{x^{2}+5 x-4}=12^{2 x+6}$

Since the base on both sides as ‘12’ are the same, we can write it as

$x^{2}+5 x-4=2 x+6$

$x^{2}+5 x-2 x-4-6=0$

$x^{2}+3 x-10=0$

Often, the value of x is easiest to solve by $a x^{2}+b x+c=0$ by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For $a x^{2}+b x+c=0$ , the values of x which are the solutions of the equation are given by:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Where, a = 1, b = 3 and c = -10

$x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}$

$x=\frac{-3 \pm \sqrt{9+40}}{2}$

$x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}$

So, the solutions for ‘x’ are

$x=\frac{-3+7}{2}=\frac{4}{2}=2$

$x=\frac{-3-7}{2}=\frac{-10}{2}=-5$

The solutions for ‘x’ are 2 and -5

6 0

3 years ago

Read 2 more answers

On a cube, what proportion of the surface area is on each face, to the nearest percent?

Nookie1986 [14]

Cubes have 6 equal faces, and the surface area is the sum of all of these faces. Thus, one face would be 1/6 of the cube's surface area, or about 17%.

3 0

3 years ago

What is the area of a circle is the radius is 8

Shalnov [3]

When the radius is 8, the area would be 201.06

Area of circle = pi x radius² (pi x 8²)

8 0

3 years ago

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1. Find the common difference and find the 75th term of the arithmetic sequence: 3, 6, 9, 12, ....

Ymorist [56]

Answer:

$\boxed{225}$

.

Step-by-step explanation:

Arithmetic sequence

$Un = a + (n - 1)b$

.

First step, find its difference

$b = U_2 - U_1$

$b = 6 - 3$

$b = 3$

.

So, we get

$a = 3$

$b = 3$

.

Finally, Let's find the 75th term

$U_{75} = 3 + (75 - 1)3$

$U_{75} = 3 + (74)3$

$U_{75} = 3 + 222$

$U_{75} = 225$

4 0

3 years ago

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Rearrange the following and ad .005, 2,002.181, 795.41, 14.0,184

xz_007 [3.2K]

Answer:

1 2 3 4

Step-by-step explanation:

4 0

3 years ago

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