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pshichka [43]
3 years ago
12

When to use brackets and parentheses polynomial inequalities?

Mathematics
1 answer:
Lerok [7]3 years ago
6 0
Given your answer is say x<3, "x is less than 3", that means that 3 is not included in your solution set. The interval (-∞, 3); note the use of parenthesis. If the interval is [-3,6), this means that in your solution 3 is included but not 6. That is to say, 3≤x<6. [3,6]; both are included. (3,6) none is included.
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What is the sum of the expressions (2/3x −7)+(1/3 x+5)?
Anit [1.1K]
The answer is

Final result :

x - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :

2
Simplify —
3
Equation at the end of step 3 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :

(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Final result :

x - 2

100% Verified!

Hope This Helps! :)
6 0
2 years ago
A hawk can travel at a speed of 120 miles per hour. How long would it take to travel 840 miles without stopping?​
Scilla [17]

Answer:

7 hours

Step-by-step explanation:

120 x 7 = 840

8 0
2 years ago
Read 2 more answers
Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below.
Marrrta [24]

Answer:

B'(16,14)

Step-by-step explanation:

First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates

M\left(\dfrac{2+8}{2},\dfrac{7+1}{2}\right)=M(5,4).

Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then

\dfrac{x+2}{2}=5\Rightarrow x=8,\\ \\\dfrac{y+1}{2}=4\Rightarrow y=7.

Hence, B(8,7).

Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule

(x,y)→(2x,2y).

Thus,

B(8,7)→B'(16,14).

8 0
3 years ago
CAN SOMEONE HELP ME? PLS♡
Dimas [21]
The vertex is a minimum point. The y value of the vertex is the lowest point it hits. The graph is going down, the vertex is the lowest point of it
5 0
2 years ago
If x = 11 units and h = 7 units, then what is the area of the triangle shown?
m_a_m_a [10]
The answer is A because of base times height
3 0
2 years ago
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