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2 years ago

CAN U PLEASE DRAW ON IT LIKE SAVE IT AND DRAW ON IT PLEASE

Mathematics

1 answer:

fiasKO [112]2 years ago

5 0

Answer:

Umm here BUT DONT JUDGE I HAD TO DO THIS ON MICROSOFT PAINT WITH A MOUSE AND IT WAS NOT FUN slope= 3/4

Step-by-step explanation:

ok if this is wrong sry :C

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Help show work please

pantera1 [17]

We want to get rid of the stuff in the denomenator

gcd of the denomenator is 2x
but wait, we can get rid of the deonmenator in the numerator by multiplying by 4x

muliplty the whole thing by 4x/4x

we get $\frac{x(x^2)}{4(2)+2(x+4)}=\frac{x^3}{2x+16}$

3 0

4 years ago

Timed test please help

insens350 [35]

Last option: − ∞ < y < 5

8 0

3 years ago

Find x?<br> In 3x - In(x - 4) = ln(2x - 1) +ln3

earnstyle [38]

Answer:

$x = \displaystyle \frac{5 + \sqrt{17}}{2}$ .

Step-by-step explanation:

Because $3\, x$ is found in the input to a logarithm function in the original equation, it must be true that $3\, x > 0$ . Therefore, $x > 0$ .

Similarly, because $(x - 4)$ and $(2\, x - 1)$ are two other inputs to the logarithm function in the original equation, they should also be positive. Therefore, $x > 4$ .

Let $a$ and $b$ represent two positive numbers (that is: $a > 0$ and $b > 0$ .) The following are two properties of logarithm:

$\displaystyle \ln (a) + \ln(b) = \ln\left(a \cdot b\right)$ .

$\displaystyle \ln (a) - \ln(b) = \ln\left(\frac{a}{b}\right)$ .

Apply these two properties to rewrite the original equation.

Left-hand side of this equation:

$\begin{aligned}&\ln(3\, x) - \ln(x - 4)= \ln\left(\frac{3\, x}{x -4}\right)\end{aligned}$

Right-hand side of this equation:

$\ln(2\, x- 1) + \ln(3) = \ln\left(3 \left(2\, x - 1\right)\right)$ .

Equate these two expressions:

$\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}$ .

The natural logarithm function $\ln$ is one-to-one for all positive inputs. Therefore, for the equality $\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}$ to hold, the two inputs to the logarithm function have to be equal and positive. That is:

$\displaystyle \frac{3\ x}{x - 4} = 3\, (2\, x - 1)$ .

Simplify and solve this equation for $x$ :

$x^2 - 5\, x + 2 = 0$ .

There are two real (but not rational) solutions to this quadratic equation: $\displaystyle \frac{5 + \sqrt{17}}{2}$ and $\displaystyle \frac{5 - \sqrt{17}}{2}$ .

However, the second solution, $\displaystyle \frac{5 - \sqrt{17}}{2}$ , is not suitable. The reason is that if $x = \displaystyle \frac{5 - \sqrt{17}}{2}$ , then $(x - 4)$ , one of the inputs to the logarithm function in the original equation, would be smaller than zero. That is not acceptable because the inputs to logarithm functions should be greater than zero.

The only solution that satisfies the requirements would be $\displaystyle \frac{5 + \sqrt{17}}{2}$ .

Therefore, $x = \displaystyle \frac{5 + \sqrt{17}}{2}$ .

7 0

3 years ago

Numbers that come one after the other are called consecutive numbers.

KonstantinChe [14]

Answer:

Step-by-step explanation:

Here, we want to get the number that will be in the units place

Six consecutive numbers from 33 are;

33 , 34 , 35 , 36 , 37 , 38 ,

Product of 5 and any of the even numbers will yield 0

That means the number on the unit place is 0

3 0

3 years ago

The sum of two numbers is 51 and the difference is 11. what are the numbers?

stiv31 [10]

(51 - 11) : 2 = 20

20 + 11 = 31

20 and 31

6 0

3 years ago