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Liono4ka [1.6K]
3 years ago
11

"find values of a and b that make the statement |a+b|=|a| + |b| false"

Mathematics
2 answers:
Ann [662]3 years ago
7 0

Answer:

a=Any negative number

b=Any positive number

or a=Any positive number and b=Any negative number

Step-by-step explanation:

We are given that two numbers a and b

We have to find the values of a and b that make the statement \mid a+b\mid=\mid a\mid+\mid b\mid false.

Suppose a=5 and b=-6

\mid 5-6\mid=\mid 1\mid=1

\mid 5\mid +\mid -6\mid=5+6=11

\mid 5-6\mid \neq \mid 5\mid+\mid-6\mid

\mid a+b\mid \neq \mid a\mid +\mid b\mid

When a be any negative number and b be any positive number or a be any positive number and b be any negative number then it will make given statement false.

Hence, the given statement is false.

kotegsom [21]3 years ago
6 0
Just choose any combination so that a is negative and b is positive, and vice versa. For example, if a = 3 and b = -6, |3-6| ≠ |3| + |-6|.
This is because |-3| = 3, and |3|+|-6| = 3+6 = 9.
3≠9.
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Change 2 hours and 36 mins to a mixed number
defon
You know you have two hours which will be the whole number. Then you take 36min and put it over 60min (total number of min in an hour) and you simplify by 6 to get 6/10 which can be simplified again to 3/5 so your final mixed number is
2 and 3/5 hours
5 0
3 years ago
7. Write an equation for the line that is parallel to the given line and that passes through the given point.
Vlad1618 [11]

Answer:

C. y = 1/2x - 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  y = 1 /2 x − 8 .

y = 1 /2 x − 14                              PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = 1 /2 x − 8 .

y = − 2 x − 29                               PERPENDICULAR

8 0
2 years ago
Answer quickly please
KIM [24]

The correct answer is C.


You can tell this by factoring the equation to get the zeros. To start, pull out the greatest common factor.


f(x) = x^4 + x^3 - 2x^2


Since each term has at least x^2, we can factor it out.


f(x) = x^2(x^2 + x - 2)


Now we can factor the inside by looking for factors of the constant, which is 2, that add up to the coefficient of x. 2 and -1 both add up to 1 and multiply to -2. So, we place these two numbers in parenthesis with an x.


f(x) = x^2(x + 2)(x - 1)


Now we can also separate the x^2 into 2 x's.


f(x) = (x)(x)(x + 2)(x - 1)


To find the zeros, we need to set them all equal to 0


x = 0


x = 0


x + 2 = 0

x = -2


x - 1 = 0

x = 1


Since there are two 0's, we know the graph just touches there. Since there are 1 of the other two numbers, we know that it crosses there.

4 0
3 years ago
Read 2 more answers
Mrs. Boggs writes the equation on the board.
Zigmanuir [339]

Answer:

(A).

Step-by-step explanation:

-8+3= -5      -8-(-3)= -5

           -5= -5

Hope this helps.

Please mark me as Brainliest. Thank You.

3 0
3 years ago
Please help!! solve for x
tamaranim1 [39]
Hope that helps you :D

3 0
3 years ago
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