3 years ago

Absolute Value Inequalities -7|x-6|>-56

1 answer:

3 0

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}$

Step-by-step explanation:

$7\left|x-6\right|>-56$

$\frac{7\left|x-6\right|}{7}>\frac{-56}{7}$

$\left|x-6\right|>-8$

$\mathrm{True\:for\:all}\:x$

You might be interested in

If a,b,c,d, and e are non negative such that x^6-289x^4-x^2+289=(x-a)(x+b)(x_c)(x+d)(x^2+ex+1), what is the value of a+b+c+d+e?

Irina18 [472]

Answer:

Step-by-step explanation:

Hello,

If $X=x^2$ it becomes

$X^3-289X^2-X+289=(X^2-1)(X-289)$

and $289=17^2$

$X^2-1=(X-1)(X+1)=(x^2-1)(x^2+1)=(x+1)(x-1)(x^2+1) \\\\x^2-289=x^2-17^2=(x-17)(x+17)$

So,

$x^6-289x^4-x^2+289=(x^2-1)(x^2+1)(x^2-289)=(x-1)(x+1)(x+17)(x-17)(x^2+1)$

a = 1

b = 1

c = 17

d = 17

e = 0

Then a + b + c + d + e = 36

Thanks

3 0

3 years ago

What’s the answer to this problem?

kolbaska11 [484]

Hello :))

82 x 12 = 984

Hope this helps!

7 0

4 years ago

Read 2 more answers

Find the remainder when f(x) = x3 − 14x2 + 7x − 10 is divided by x − 3. 184 164 −88 −122

Fudgin [204]

Answer:

122

Step-by-step explanation:

For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the divide until it reaches the remainder.

It must be fulfilled that:

Dividend = Quotient * Divisor + Remainder

we have that the remainder is 122.

have a good day

5 0

3 years ago

Based on this graph, what would the cost to refill 50 bottles

Elis [28]

Answer:

175

Step-by-step explanation:

for 10 water bottles its 35 dollars so you multiply 10 by 5 and its 50. so you multiply 35 by 5 and get 175.

3 0

3 years ago

Read 2 more answers

a boy walks along at a constant speed of 3 meters per second for 1 minute. how far does he travel during this time?

Nadusha1986 [10]

The boy walks at a constant speed V=3 m/s where V is his velocity
1 minutes has 60 seconds
Thus we conclude during 1 minute he travels :
60 seconds × 3 meters/second = 180 meters

5 0

3 years ago