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Finger [1]
3 years ago
9

Which inequality has –12 in its solution set? A B C D

Mathematics
2 answers:
Furkat [3]3 years ago
8 0

Answer:

D. x+5<-4

Step-by-step explanation:

x+6<-8

x<-8-6

x<-14

x={-15,-16,-17...} No

x+4>-6

x>-6-4

x>-10

x={-10,-9,-8,-7...} No

x-3>-10

x>-10+3

x>7

x={8,9,10...} No

x+5<-4

x<-4-5

x<-9

x={-9,-10,-11,-12...} Yes.

Feliz [49]3 years ago
7 0

Answer:

Step-by-step explanation:

solve each inequality:

A : x+6<8  ,  x<-8-6 , x<-14

B: x+4≥-6 ,  x≥-10

C: x-3>-10 , x>-7

D:x≤-9

since -12 is on the left side of the number line then x≤ -9 would be the solution

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Find all the critical values
Natalija [7]
              y - 3
g(y) = ------------------
            y^2 - 3y + 9

To find the c. v., we must differentiate this function g(y) and set the derivative equal to zero:
     
             (y^2 - 3y + 9)(1) - (y - 3)(2y - 3)
g '(y) = --------------------------------------------
                    (y^2 - 3y + 9)^2

Note carefully:  The denom. has no real roots, so division by zero is not going to be an issue here.  

Simplifying the denominator of the derivative, 

(y^2 - 3y + 9)(1) - (y - 3)(2y - 3)  =>  y^2 - 3y + 9 - [2y^2 - 3y - 6y + 9], or
                                                         -y^2 + 6y

Setting this result = to 0 produces the equation y(-y + 6) = 0, so
y = 0 and y = 6.  These are your critical values.  You may or may not have max or min at one or the other.
6 0
3 years ago
Five digit serial numbers for a product are to be made using letters and/or numbers, e.G. JGR29. The serial number could have al
S_A_V [24]

Answer:

1,404,000 serial numbers can be made

Step-by-step explanation:

For the five digit serial numbers, since all letters and all numbers could be used, then we can use 26 letters (A,B,C,...Z) and 10 numbers (0,1,2,...9).

Now, say the letters and numbers are to occupy the labeled spaces below

_  _  _  _  _

1   2  3  4  5

(NOTE: Spaces 1,2,3 are to be occupied by any of the 26 letter while spaces 4 and 5 are to be occupied by any of the 10 numbers)

For space 1, there are 26 possibilities

For space 2, there will be (26 -1 ) 25 possibilities (since repetition of characters is NOT allowed)

For space 3, there will be (26-2) 24 possibilities (since repetition of characters is NOT allowed)

For space 4, we have 10 possibilities

and for space 5, we (10-1) 9 possibilities (since repetition of characters is NOT allowed)

Therefore, the number of serial numbers that can be made is

26 × 25 × 24 × 10 × 9 = 1404000

Hence, 1,404,000 serial numbers can be made

OR

Using permutation, nPr = n!/(n-r)!

For the letters,

n is the total number; n = 26

and r is the number of available spaces, r = 3

For the numbers,

n = 10

r = 2

Then, we get

26P3 × 10P2

26!/(26-3)! × 10!/(10-2)!

26!/23! × 10!/8!

15600 × 90 = 1404000

5 0
3 years ago
Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item?
Vanyuwa [196]
C is the right answer.
7 0
2 years ago
Ab(-2 13)(0 3) CD (-5 0)(10 3) parallel lines identify please help
mojhsa [17]

Answer:

they are not parallel

Step-by-step explanation:

they intersect eachother

3 0
2 years ago
I'm so confused, pls help
Vera_Pavlovna [14]

Answer:

x = 14      D

Step-by-step explanation:

(18x + 36) / 3 = 6x + 12

6x + 12 = -16 + 8x

-6x .                -6x

12 = -16 + 2x

+16 . +16

28 = 2x

/2 .   /2

14 = x

8 0
2 years ago
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