For the love of God help me !! I'm desperate for it tomorrow

Mathematics

2 answers:

USPshnik [31]3 years ago

8 0

$D:5x-2>0 \wedge x>0 \wedge x-1>0\\D:5x>2 \wedge x>0 \wedge x>1\\D: x>\frac{2}{5} \wedge x>1\\D:x>1\\\log_2(5x-2)-\log_2x-\log_2(x-1)=2\\\log_2\frac{5x-2}{x(x-1)}=\log_24\\\frac{5x-2}{x(x-1)}=4\\4x(x-1)=5x-2\\4x^2-4x=5x-2\\4x^2-9x+2=0\\4x^2-x-8x+2=0\\x(4x-1)-2(4x-1)=0\\(x-2)(4x-1)=0\\x=2 \vee x=\frac{1}{4}\\\frac{1}{4}\not \in D \Rightarrow \boxed{x=2}$

Flauer [41]3 years ago

5 0

$\log_2(5x - 2) - \log_2 x - \log_2(x - 1) = 2$
$\log_2 ( \frac{5x - 2}{x(x-1)} ) = 2$
$\log_2 ( \frac{5x - 2}{x(x-1)} ) = \log_2 4$
$\frac{5x - 2}{x(x-1)} = 4$
$5x - 2 = 4x(x - 1)$
$5x - 2 = 4x^2 - 4x$
$0 = 4x^2 - 9x + 2$
$0 = (4x - 1)(x - 2)$
$\implies x = 2 \text{ or } x = \frac{1}{4}$

By putting one quarter into the equation we can see that it cannot work in any way involving real numbers as $\log_2 ( \frac{1}{4} - 1)$ would be log of a negative number, so x = 2.

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32.84 ÷ 4 = showing all steps in long division

nirvana33 [79]

Step-by-step explanation:

The main thing to note here is that once you go past the decimal point, the answers also go past the decimal point.

$......8.21\\4\sqrt{32.84} \\.....32\\.....00.8\\..........8\\..........0.4\\.............4\\.............0$

5 0

4 years ago

Read 2 more answers

HELPPPP ME NOWWWW PLEASEE

sergiy2304 [10]

X = 101
Z = 30
Explanation:
A straight line is equal to 180 degrees. You see the angle equal to 79 is the opposite angle of x. 180 - 79 = 101.

You see that (3z - 11) is the same angle as the one equal to 79. So (3z - 11) = 79. So you think what minus 11 equals 79? 79 + 11 = 90. Now what times 3 equals 90? 90 divided by 3 = 30.

I know this explanation is probably confusing so let me know if I need to explain my explanation lol

7 0

1 year ago

Plsss answer the following.

IRINA_888 [86]

First exercise:

a. The first prime numbers are 2,3,5,7,11,... So, the greatest prime interger between 4 and 9 is 7. A = 7.

b. Since the number line's growing direction is rightwards, going to the left means to decrease. So, point E is 4 less than point A, i.e. 7-4 = 3. E = 3.

c. The additive inverse of a number $x$ is another number $y$ such that $x+y=0$ . So, we're looking form a number such that $3+O=0$ , and thus O = - 3.

d. This point looks a bit ambiguous to me honestly. We know that IO = 2, which I presume means that the points I and O are two units apart, but we're not told if I is two units left or right with respect to O. To solve this issue, I'm assuming that IO implies that I sits before O, and so I is two units left with respect to O. As we said in point a., two units left means two less, so we have I = -3-2 = -5. At this point, point L is halfway between -5 and -3, and thus L = - 4.

e. The sum of the coordinates of A and E is 7 + 3 = 10. Half that sum is 5, so M = 5.

In the attached image, you can see the number line filled with the points asked by the exercise.

Second exercise:

All the requests can be written as an equation in which we look for the values of x. Below you find the equation and the solutions.

$107 + x = 55 \implies x = 55-107 = -52$

$-43 - x = 18 \implies x = -43-18 = -61$

$-43 - x = 18 \implies x = -43-18 = -61$

$55x = 0 \implies x = \frac{0}{55} = 0$

$\frac{x}{-1080} = -40 \implies x = (-1080)(-40) = 43200$

A little side note: I've honestly never met the expression "subtract A to B", but always "subtract A from B". I assumed they mean the same thing, but if anybody thinks I'm wrong please let me know! (I'm not a native speaker, so I can only refer to the math I met during my studies).