MATHEMATICS HIGH SCHOOL

PLEASE HELP ME WITH THESE QUESTIONS

Answers

Answer 1

Answer:

Answer: 8

Step-by-step explanation:

log₃ (x² - 32) = log₃ (4x) restrictions: x² - 32 > 0 and 4x > 0 ⇒ x > 4√2

x² - 32 = 4x

x² - 4x - 32 = 0

(x - 8)(x + 4) = 0

x - 8 = 0 or x + 4 = 0

x = 8 or x = -4

-4 does not meet the restriction so not valid

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Answer: y = 7x - 6

Step-by-step explanation:

7x -6

x² + 0x + 4 ) 7x³ - 6x² + 0x + 7

-7x³ + 0x² - 28x

-6x² - 28x + 7

6x² + 0x + 24

-28x + 31

********************************************************************************************

Answer: x = $(6)/(5)$

Step-by-step explanation:

ln 3 + ln x = ln 6 + ln (3x - 3) restrictions: x > 0 and 3x - 3 > 0 ⇒ x > 1

ln (3 * x) = ln (6*(3x - 3))

ln (3x) = ln (18x - 18)

3x = 18x - 18

-18x -18x

-15x = -18

$(-15x)/(-15) = (-18)/(-15)$

x = $(6)/(5)$

$(6)/(5)$ > 1 so answer is valid

********************************************************************************************

Answer: -5.9761

Step-by-step explanation:

log ₁₎₂ 63

= $(log (63))/(log((1)/(2)))$

= $(1.7993)/(-0.3010)$

= -5.9761

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What percent of 17 is 20.4
Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
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Round 2.327 liters to the nearest tenth of a liter

How many golf balls will fit into a suitcase

Answers

That depends on the volume of the suitcase. The size of all golf balls is the same. The size of all suitcases is not.

For what value of n is -5n = 7-5(n-5)-32

Answers

Answer:

-5n = 7 - 5(n - 5) - 32 is an identity, meaning it is true for all values of n.

Step-by-step explanation:

First, simplify the equation by distributing the -5 on the right side:

-5n = 7 - 5n + 25 - 32

Next, combine like terms on the right side of the equation:

-5n = (7 + 25) - (5n + 32)

-5n = 32 - 5n - 32

Now, notice that the terms "-5n" and "+5n" on the right side cancel each other out:

-5n = -5n

Since the left side is equal to the right side, the equation is true for all values of n. In other words, there is no specific value of n that satisfies the equation; it holds true for any value of n.

So, the equation -5n = 7 - 5(n - 5) - 32 is an identity, meaning it is true for all values of n.

What is -2(x-3) how do i answer this question?

Answers

-2(x-3)

= -2x+6

-2*x=-2x and -2*-3=6

-2(x-3)=
= -2 * x+2*3=
=-2x+6

8. What is the solution to the system? y = 1/2x, 2x + 3y = 28A) (2, 3)
B) (8, 4)
C) (7, 3.5)
D) (2, 14)

Answers

$y=(1)/(2)x \n2x+3y=28 \n \n\hbox{substitute } (1)/(2)x \hbox{ for y in the second equation:} \n2x+3 ((1)/(2)x)=28 \n2x+(3)/(2)x=28 \ \ \ \ \ |* 2 \n4x+3x=56 \n7x=56 \ \ \ \ \ \ \ \ \ \ \ \ |/ 7 \nx=8 \n \ny=(1)/(2)x=(1)/(2) * 8=4 \n \n\boxed{(x,y)=(8,4)} \Leftarrow \hbox{answer B}$

Three times a number (n) is 36 less than five times the number (n). What is the number?

Answers

i am doing it on edg 2020 now

Final answer:

The number in question is found using simple algebra to setup and solve the equation given in the problem. The solution is n = 18.

Explanation:

The question is about finding a number (n), such that three times the number (n) is 36 less than five times the number (n). This can be solved using simple algebra.

Firstly, we setup the algebraic equation according to the problem:
3n = 5n - 36

To solve the equation, you subtract 3n from both sides to bring all n on one side:
5n - 3n = 36
Which simplifies to:
2n = 36

Now you solve for n by dividing both sides by 2:
n = 36 / 2
The result is n = 18. So, the number in question is 18.

Learn more about Simple Algebra here:

brainly.com/question/35523443

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Increase 48m by 20%? Help Please I'm Useless At Math<3

Answers

We have 48 meters.
We need to increase it by 20%.
That means we have 48 and then we increase it by 20%.

That can be expressed as:
48 + (48 * 20%)

Now, another way to write that would be:

48 * 120%

Now, 120% is nothing but 120/100. This can even be simplified to 1.2.

48 * 120%
= 48 * 1.2
= 57.6

48m increased by 20% is 57.6m.

You multiply 48m with 20% and add that to 48m.
20% can be written as 20/100.

$48m*(20)/(100)+48m$

$(48m*20)/(100)+48m$

$(960m)/(100)+48m$

$9.6m+48m$

${\boxed{57.6m}$