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Answer:
See below in bold.
Step-by-step explanation:
(x - 1)(x^2 + 1)
= x(x^2 + 1) - 1(x^2 + 1)
= x^3 + x - x^2 - 1
= x^3 - x^2 - x - 1.
Leading coefficient = 1.
Constant term = -1.
Degree = 3. (because of the x^3).
Answer:
Step-by-step explanation:
<u>Two ways to solve</u>
1.) Expand each term in the equation
- 7x = x · x · x · x · x · x · x
- 6x = x · x · x · x · x · x
- Count all the x’s ⇒ There are 13 x’s ⇒ 13x
2.) Add the coefficients
Hence,
Answer = 13x
Answer:
Equivalent fraction: 45/100
Reduced fraction: 9/20
Decimal equivalent: 0.45
Step-by-step explanation:
Equivalent fraction: percentage is just out of 100. 45% is 45 out of 100, aka 45/100.
Reduced fraction is just simplifying both sides by the GCF. In this case, 5.
Decimal equivalent of a percentage is just dividing the numerator by the denominator, or taking the numerator or the percentage and placing the decimal point forward two digits.
Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²

± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12