Inequalities help us to compare two unequal expressions. The correct representations of the inequality –3(2x – 5) < 5(2 – x) are A and C.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The given inequality can be written as,
-3(2x - 5) < 5(2 - x)
-6x + 15 < 10 - 5x (It is the third option)
-6x + 5x < 10 - 15
-x < -5
x > 5 (First option)
Hence, the correct representations of the inequality –3(2x – 5) < 5(2 – x) are A and C.
Learn more about Inequality:
brainly.com/question/19491153
#SPJ1
The constants of a polynomial is the term that has no variable attached to it.
<h3>The constant term</h3>
To determine the constant, we simply multiply the constant term in each factor of the polynomial.
So, we have:
<h3 /><h3>Polynomial P(x) = (x-2)(x-4)(x-5)</h3>
Hence, the constant is -40
<h3>Polynomial P(x) = (x-2)(x-4)(x+5)</h3>
Hence, the constant is 40
<h3>Polynomial P(x) =1/2(x-2)(x-4)(x+5)</h3>
Hence, the constant is 20
<h3>Polynomial P(x) = 5(x-2)(x-4)(x+5)</h3>
Hence, the constant is 200
<u>P(x) =-5(x-2)(x-4)(x+5)</u>
Hence, the constant is -200
Read more about polynomials at:
brainly.com/question/2833285
Answer:
6
Step-by-step explanation:
(-4+2) (4- -4)
-Add your invisible 1
1(-4+2)1(4- -4)
-This removes the parentheses.
-Combine the 2 negative signs in the second set of parentheses.(Its now a positive or plus sign.)
-4+2+4+4
Combine like terms.
Answer:
x = 15, y = 50
Step-by-step explanation:
8x + 12 and 2x + 18 are same- side interior angles and sum to 180° , then
2x + 18 + 8x + 12 = 180
10x + 30 = 180 ( subtract 30 from both sides )
10x = 150 ( divide both sides by 10 )
x = 15
Then
8x + 12 = 8(15) + 12 = 120 + 12 = 132
3y - 18 and 8x + 12 are vertical angles and are congruent, so
3y - 18 = 132 ( add 18 to both sides )
3y = 150 ( divide both sides by 3 )
y = 50
Step-by-step explanation:
Length = x-3
width = x+8
Area of the rectangle = 60 inch²
(x-3)(x+8)=60
x²+8x-3x-24=60
x²+5x-24=60
x²+5x-84=0
x²+12x-7x-84=0
x(x+12) - 7(x+ 12) =0
(x+12)(x-7)= 0
x= -12 or, x= 7
Measure of sides of rectangle can never be negative.
Answers:
Therefore,
x=7
Dimensions
length =7-3
=4 inches
width = 7+8
=15 inches