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Radda [10]
3 years ago
12

For which equations is x = 9 a possible solution? Check all that apply.

Mathematics
2 answers:
aliya0001 [1]3 years ago
8 0
It's |x|=9 and |-x|=9.
Lesechka [4]3 years ago
8 0

Answer:

option A, D and F are correct.

|x| = 9,  -|-x| = –9 and |–x| = 9

Step-by-step explanation:

Absolute value of any number is positive or 0.

for example:

|-a| = a

|a| = a

As per the statement :

For which equations is x = 9 a possible solution.

Option A:

|x| = 9

by definition of absolute value:

⇒x = 9

Similarly,

Option B:

-|x| = 9

⇒ -x = 9 or x = -9

Option C

-|-x| = 9

⇒ -x = 9

⇒x = -9

Option D:

-|-x| = –9

⇒ -x = -9

⇒ x = 9

Option E

|x| = –9

⇒x = -9

Option F

|–x| = 9

⇒x =9

Option G

|–x| = –9

⇒x = -9

Therefore, an equation for which possible solution is x = 9 are:

|x| = 9,  -|-x| = –9 and |–x| = 9.

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Nataly [62]

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4 0
3 years ago
Which of the following expressions represents “the quotient of nine times a number and seven ?
blsea [12.9K]

Answer:

9n÷7

Step-by-step explanation:

A quotient means a ratio or one quantity being divided by another, or in algebraic terms (a/b). In this case, the first quantity is "nine times a number" represented in terms of n as (n). The other quantity is just the number 7.

Dividing the 9 times n by 9 gives us the following:

9n÷7

<u><em>Hope this helps :></em></u>

7 0
3 years ago
The line graph shows the number of goals scored
Neporo4naja [7]

Answer:

a) 1 game

b) 41 goals

c) median = 2

Step-by-step explanation:

a)

As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.

b)

To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:

total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals

c)

To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.

We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.

8 0
3 years ago
What is the equation of the line through (7, -1) with slope -3?
Slav-nsk [51]
Point slope is y-y1=m(x-x1) where m is slope and x1 and y1 are the given x and y values.

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Final answer: B
3 0
3 years ago
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Yakvenalex [24]

Answer:

2

Step-by-step explanation:

4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2.  Please use

" ^ " to indicate exponentiation.

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Then the coefficients are a = 1, b = 4 and c = -32.

Find the discriminant.  It is b^2-4ac.  

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Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.

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4 0
3 years ago
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