Answer:
3<x<7
Step-by-step explanation:
if a < u < b then a<u and u<b
3<2x-3 and 2x-3<11
3<2x-3 x>3
2x-3<11
x<7
x>3 and x<7
The value of the modulus function |-3| is 3.
<h3>What is the value of modulus?</h3>
'Modulus' exists a Latin word, which signifies 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value designates only the numeric value and does not contain the sign of the numeric value. The modulus of any vector quantity exists ever taken as positive and exists in its absolute value.
The absolute value (or modulus) | x | of a real number x stands as the non-negative value of x without regard to its sign.
For example, the absolute value of 5 stands at 5, and the absolute value of −5 exists also at 5. The absolute value of a number may be considered as its distance from zero along a real number line.
Therefore, the value of the modulus function |-3| is 3.
To learn more about the value of modulus refer to:
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Models can help compare and evaluate expressions visually, and make it easy to see trends, similarities, and differences.
Answer:
1350 to the nearest 100 is 1400
Answer:
168
Step-by-step explanation:
We would like to multiply these two expressions together and then substitute -2 in for x to solve.
f(x) * g(x) = (8 - 10x) * (5x + 4)
We will use FOIL (first, outer, inner last):
(8 - 10x) * (5x + 4) = 8 * 5x + 8 * 4 + (-10x) * 5x + (-10x) * 4
Combining terms, we get:
f(x) * g(x) = 32 - 50x²
Plug -2 in for x:
32 - 50 * (-2)² = 32 - 50 * 4 = 32 - 200 = -168
The answer is thus 168.
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