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Simora [160]
3 years ago
8

I NEED HELP ASAP PLEASE

Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0
I think you would put 570 in the blank since 19 x 3 = 57
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What is different between solving inequalities and absolute value inequalities?
Ivenika [448]

Answer:

The absolute number of a number a is written as

|a|

And represents the distance between a and 0 on a number line.

An absolute value equation is an equation that contains an absolute value expression. The equation

|x|=a

Has two solutions x = a and x = -a because both numbers are at the distance a from 0.

To solve an absolute value equation as

|x+7|=14

You begin by making it into two separate equations and then solving them separately.

x+7=14

x+7−7=14−7

x=7

or

x+7=−14

x+7−7=−14−7

x=−21

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.

The inequality

|x|<2

Represents the distance between x and 0 that is less than 2

Whereas the inequality

|x|>2

Represents the distance between x and 0 that is greater than 2

You can write an absolute value inequality as a compound inequality.

−2<x<2

This holds true for all absolute value inequalities.

|ax+b|<c,wherec>0

=−c<ax+b<c

|ax+b|>c,wherec>0

=ax+b<−corax+b>c

You can replace > above with ≥ and < with ≤.

When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.

Step-by-step explanation:

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Need help ASAP!!!!!!!
marin [14]

Answer:

1. 3   2. 16

Step-by-step explanation:

3x+2/y, x = 3 and y = 6

3(3)/6

Factor the number

3*3*2/3*2

Cancel the common factor (3)

3*2/2

Cancel the common factor (2)

3/1

Simplify

=3

(4a)^3/(b-2), a = 2, b = 4

(4(2)^3/(4-2)

Subtract the numbers:

2^3 * 4/2

Apply exponent rule (a^b*a^c=a^b+c)

= 2^3+1

Add the numbers:

2^4

Simplify:

=16

8 0
3 years ago
Can someone help? It’s about 2 column proofs
Gwar [14]

Step-by-step explanation:

1. AB = BC (B is the midpoint of AC)

2. DE = EF (E is the midpoint of DF)

3. EB is common

4. ∠ABE = ∠CBE; ∠BED = ∠BEF (EB⊥AC, EB⊥DF)

5. ΔDEB ≅ ΔFEB (RHS)

6. DB = FB (corresponding ∠s of ≅ Δs)

7. ∠EFB = ∠CBF; ∠EDB = ∠ABD (alternate interior angles, AC║DF)

8. ΔABD ≅ ΔCBF (SAS)

4 0
3 years ago
Given that f(x)=x^3, which equation describes the graph of function g?
mixas84 [53]

it is cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

6 0
3 years ago
Read 2 more answers
What is the sum of -8 and it’s opposite?
musickatia [10]

Answer:

5+-8=0

Step-by-step explanation:

Its really easy, first, it says sum, so that means add it and then it said opposite. The opposite of -8 is 8, so put it all together and its 8+-8=0

4 0
3 years ago
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