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3 years ago

-4(x+2)-10=5x what is the value of x?

Mathematics

2 answers:

julia-pushkina [17]3 years ago

7 0

Option(B) is the answer

Arte-miy333 [17]3 years ago

7 0

-4(x+2)-10=5x
distribute what's in the bracket
-4x-8-10=5x
then group the like terms
-4x-18=5x
add 4x to both sides
-18=9x
divide both sides by 9 to leave x isolated
-2=x

B is the correct answer, good luck!

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Please help me with these questions , thank you

Angelina_Jolie [31]

Answer:

1. 4 $x^{3}$ + 26x² + 4x - 48

2. 2 $x^{3}$ - 23x² + 60x - 32

3. $x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4. 2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

Step-by-step explanation:

To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.

1) Distribute the parenthesis (x + 6):

x(4x² + 2x - 8) + 6(4x² + 2x - 8)

4 $x^{3}$ + 2x² -8x + 6(4x² + 2x -8)

4 $x^{3}$ + 2x² -8x + 24x² + 12x - 48

Combine like terms:

4 $x^{3}$ + 26x² + 4x - 48

2) Distribute the parenthesis (x - 8):

x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + -16x² + 56x - 32

Combine like terms:

2 $x^{3}$ - 23x² + 60x - 32

3) Distribute the parenthesis (x + 2):

x( $x^{4}$ + 7x² - 4) + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

No like terms to combine, so:

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4) Distribute the parenthesis (x + 4):

x(2 $x^{6}$ - 7 $x^{5}$ + 3) + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 8 $x^{6}$ - 28 $x^{5}$ + 12

Combine like terms:

2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

hope this helps!

8 0

3 years ago

What should be done so that the expression will have a value of 10?<br><br> 12 - 2 + 2 2 ÷ 8

Liula [17]

Answer: 10
use (PEMDAS)
P parentheses ()
E exponents
M multiplication • , () , x
D division
A addition +
S subtraction -
Explanation:
There are no parentheses.
There are exponents.
The multiplication is the exponents.
There is division.
There is addition and subtraction.
-how to solve-
First, do 2 to the second power and get 4.
Next, do 12-2+4 divided by 8.
Next do multiplication: there’s no more.
Next do division: you can’t do 4 divided by 8 so instead, do 12-2 = 10 plus 8.
Hope this helps!

3 0

2 years ago

How to know when to use which probability distribution?

worty [1.4K]

57% of students studied, which decomposes into 52% who both studied and saw an increase in their exam grade 5% who both studied and did Not see an increase in their exam grade The percentages above are relative to the whole population of 100 students, to get the requested probability, recall that: One way to find out the probability of an event is to Take the ratio of the number of times the event happened, over the total number of times the event could have happened. Total number of times the event happened: 52 = 52% of 100 students studied and saw an increase in their exam grade Total number of times the event could have happened: 57 = 57% of 100 students studied

3 0

3 years ago

Convert the angle in degrees to radians. Express your answer as a multiple of π.

Elena L [17]

Converting 25 degrees to radians:

180° = π radians.

1° = π/180 radians.

25° = (π/180 radians) * 25

= (25/180) * π radians.

Leaving the answer in terms of π, 25/180 = 5/36

= (25/180) * π radians = (5/36)π radians or ≈ 0.1389π radians.

Therefore 25° = (5/36)π radians or ≈ 0.1389π radians

I hope this explains it.

I think why you did not get it was because you did not leave your answer in terms of π or as a multiple of π, so as a multiple of π our answer is:

= (5/36)π radians or ≈ 0.1389π radians

5 0

4 years ago

What is 1/2(x+14) because i am having trouble solving it and no calculator has been able to help me also.

ivann1987 [24]

Hi there!

»»————-　★　————-««

I believe your answer is:

$\frac{1}{2}x+7$

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$\boxed{\text{Simplifying the equation...}}\\\\\frac{1}{2}(x+14)\\------------\\\rightarrow \frac{1}{2}*x = \frac{1}{2}x\\\\\rightarrow\frac{1}{2}*14=7\\\\\rightarrow \frac{1}{2}(x+14)= \boxed{\frac{1}{2}x+7}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

7 0

3 years ago