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BlackZzzverrR [31]
3 years ago
10

Explain the differences between properties of equality and properties of inequality when solving equations and inequalities.

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

Using the properties of equality on any equation will not change the solution set. When multiplying or dividing an inequality by a negative number you must reverse the inequality symbol or you will not get the correct solution set.

matrenka [14]3 years ago
5 0
Equalities will have the words "is" or "equals" or "the same as" in the wording. These produce a unique solution.

Inequalities have phrases like "at most" or "at least" or "no more than" in them. Solutions are a range of values, ranging between 2 values, or from a particular value to positive or negative infinity.
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If a florist uses 10 red roses in a bouquet , how many white roses did she use?
mr_godi [17]

Answer:

2 white roses.

A dozen is 12.

12-10 red roses = 2 white roses

Step-by-step explanation:

3 0
2 years ago
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The area of a rectangle is 63m^2 and the length of the rectangle is 11m more than twice the width. Find the length and width.
AleksandrR [38]

Answer:

width = 3.5 m

length = 18 m

Step-by-step explanation:

area = length x width

x is the width then length = 2x + 11

x(2x + 11) = 63

2x^2 + 11x - 63 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 2

       b = 11

       c = -63

substitute in the formula

x = [-11 +/- √(11^2 - 4(2)(-63))]2(2)

x = [-11 +/- √(121 + 504)]/4

x = [-11 +/- √625]/4

x = (-11 +/- 25)/4

x1 = (-11 + 25)/4 = 14/4 = 3.5

x2 = (-11 - 25)/4 = -36/4 = -9

since width can't be a negative number, x is 3.5

length = 2x + 11 = 2(3.5) + 11 = 18

7 0
2 years ago
What is the slope of the line shown in the graph? -1 -2 -1/2 2
MissTica

Answer:

The slope would would be -2

Step-by-step explanation:

3 0
3 years ago
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3) 14 pennies to 35 pennies​
Leno4ka [110]

Answer:

<h2>2/5</h2>

Step-by-step explanation:

14/35

Find the GCD of numerator and denominator

GCD of 14 and 35 is 7

Divide both the numerator and denominator by the GCD

14 ÷ 7

35 ÷ 7

2/5

I'm always happy to help :)

5 0
3 years ago
Complete the steps for solving 7 = -2x2+10x
V125BC [204]
Step 1: move all terms to one side

7 + 2x^2 - 10x = 0

Step 2: Use the quadratic formula

X = 10 + 2(square root of 11). 10-2 _/—-11
————————————. ——————
4. , 4

Step 3: Simplify solutions

X= 5 + (square root of 11) 5 - (square root 11)
——————————- , ————————
2. 2
4 0
3 years ago
Read 2 more answers
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