All categories

3 years ago

Write Absolute value equation that has the given solutions 4 and 11

1 answer:

4 0

| x + a | = | x + a |
As given in the question x=3 or x=9, replace first x by 3 and the other x by 9
| 3 + a | = | 9 + a |
3 + a = - ( 9 + a)
3 + a = -9 - a (Solving for a )
2a = -12
a = -12/2
a= -6
now, | x + a | = | 3 - 6 | = |-3| = 3
| x + a | = | 9 - 6 | = |3| = 3
Therefore, the answer is | x - 6 | = 3

You might be interested in

Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semest

strojnjashka [21]

Answer:0.9991

Step-by-step explanation:

The Poisson distribution probability formula is given by :-

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$ , where \lambda is the mean of the distribution and x is the number of success

Given : $\lambda=7$

The probability that more than 1 student will have his automobile stolen during the current semester is given by :-

$P(x\geq1)=1-P(x=0)=1-(\dfrac{e^{-7}7^0}{0!})\\\\=1-e^{-7}=0.99908811\approx0.9991$

Hence, the probability that more than 1 student will have his automobile stolen during the current semester =0.9991

3 0

3 years ago

How to simplify this

algol [13]

To simplify this, you would have to turn b^-2 into a positive exponent.
To do this, we have to flip b^-2, which would get rid of the negate from the exponent: -2

3a^4 b^-2 c^3 / b^-2

Then we get the answer:

3a^4 c^3
------------
b^-2

I have a picture to clarify!
I hope this helped, let me know if you don't understand! ^.^

6 0

2 years ago

on the number line above, w,x,y, and z are the coordinates of the indicated points. which of the following is NOT true?

zhenek [66]

Answer:

Not true

(x/w)^2 > z

Step-by-step explanation:

(x/w)^2 will be less than 1

z is greater than 1

so (x/w)^2 < z

4 0

2 years ago

Please help solve last one

mr_godi [17]

Answer:

The answer would be 7(2x+3y+z) or 7(2x+3y+1z) (both would be considered as correct)

Step-by-step explanation:

5 0

2 years ago

You need 3 cups of cherries for every 5 cups of watermelon in a recipe for cherry-watermelon fruit smoothies.how many cups of ea

Paha777 [63]

Answer:

24 cups of cherries and 40 cups of watermelon.

Step-by-step explanation:

3 + 5=8

64 divided by 8 = 8

3x8= 24

5x8= 40

24 + 40 = 64

6 0

3 years ago