<u>Answer with explanation:
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<u>Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.
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<u>
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<u>The two expressions are
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<u>1. 7 x +4
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<u>2. 3 x +5 +4 x =1
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Adding and subtracting Variables and constants
→7 x +5=1
→7 x +5-1
→7 x +4
→ When x=2,
7 x + 4 =7×2+4
=14 +4
=18
So, Both the expression has same value =18.
→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.
Correct options among the given statement about the expressions are:
1.When x = 2, both expressions have a value of 18.
2.The expressions have equivalent values for any value of x.
3.The expressions have equivalent values if x = 8.
1 recipe ......2 5/8 = 21/8
1/2.................?
21/8 * 1/2
= 21/16
= 1 5/16
Answer:
9x^2+22x-2
Step-by-step explanation:
f(g(x))=(3x+1)^2+2(3x+1)-4
=9x^2+16x+6x+2-4
=9x^2+22x-2
to find the soultion of mentioned question you have to put the value of g(x) into f(x) and then solve it like normal ...
Answer: The length of the rectangle is 15 inches
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The perimeter of a rectangle is expressed as 2 length + 2 width
Perimeter = 2(L + W)
The rectangle has a perimeter of 52 inches. It means that
2(L + W) = 52
L + W = 52/2 = 26 - - - - - - - 1
The length of the rectangle is 4 inches more than its width. It means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
W + 4 + W = 26
2W = 26 - 4 = 22
W = 22/2 = 11
L = W + 4 = 11 + 4 = 15
Answer:
C
Step-by-step explanation: