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2 years ago

What's the solution ? 5^3x=25^(x+2)

Mathematics

1 answer:

m_a_m_a [10]2 years ago

8 0

there is no solution

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The general form of an parabola is 2x2−12x−3y+12=0 .

Murljashka [212]

Answer:

The standard form of the parabola is $(x-3)^2=4*\frac{3}{8}(y+2)$

Step-by-step explanation:

The standard form of a parabola is

$(x-h)^2=4p(y-k)$ .

In order to convert $2x^2-12x-3y+12=0$ into the standard form, we first separate the variables:

$2x^2-12x+3y+12=0\\\\2x^2-12x+12=3y$

we now divided both sides by 2 to remove the coefficient from $2x^2$ and get:

$x^2-6x+6=\frac{3}{2}y$ .

We complete the square on the left side by adding 3 to both sides:

$x^2-6x+6+3=\frac{3}{2}y+3$

$x^2-6x+9=\frac{3}{2}y+3$

$(x-3)^2=\frac{3}{2}y+3$

now we bring the right side into the form $4p(y-k)$ by first multiplying the equation by $\frac{2}{3}$ :

$\frac{2}{3} *(x-3)^2=\frac{2}{3} *(\frac{3}{2}y+3)\\\\\frac{2}{3} *(x-3)^2=y+2$

and then we multiplying both sides by $\frac{3}{2}$ to get

$(x-3)^2=\frac{3}{2} (y+2)$ .

Here we see that

$4p=\frac{3}{2}$

$\therefore p=\frac{3}{8}$

Thus, finally we have the equation of the parabola in the standard form:

$\boxed{(x-3)^2=4*\frac{3}{8}(y+2)}$

5 0

3 years ago

Jennifer was asked to rewrite each of the following expressions in word form, using the words sum, product, difference, and quot

Strike441 [17]

So,

We just have to substitute the appropriate words for the operations and grouping symbols.

A. Twenty times the quantity of the difference between y and 3.

B. The sum of the quotient of x and 9, and 5

6 0

3 years ago

Find the unknown number 5/12+()=1/2

xenn [34]

Hello from MrBillDoesMath!

Answer: 1/12

Discussion:

We solve 5/12 + x = 1/2 for x. Begin by subtracting 5/12 from each side

5/12 - 5/12 + x = 1/2 - 5/12

0 +x = 6/12 - 5/12 (as 1/2 = 6/12)

So x = 1/12

Regards, MrB

8 0

3 years ago

Solve for x. 3/4 - 1/3 = 11 / 4

DiKsa [7]

Where is X in the equation?

4 0

3 years ago

If 9^x-9^x-1=24, then find the value of (6x)^x

castortr0y [4]

9^x-9^x-1=24

so 
(6x)^x is (6 X 0)^0 = 0 (ANS)

is the ans 0 or 1

5 0

3 years ago

Read 2 more answers