7) Use distributive property
3x(4x⁴ - 5x)=3x*4x⁴- 3x*5x = 12x⁵ - 15x²
8) When you open parenthesis with minus sigh in front of it, you need change sings of the terms on opposite. Then find like terms.
(5x⁴-3x³+6x)-(3x³+11x²-8x)= 5x⁴-3x³+6x -3x³-11x²+8x =5x⁴-6x³ - 11x²+14x
9)(x-2)(3x-4)=x*3x-4x-6x+8=3x²-10x+8
10) (x+6)²=(x+6)(x+6)=x²+6x+6x+36=x²+12x+36
For (x+6)², you can also use the formula of the perfect square
(a+b)²=a²+2ab+b²
For (x+6)² =x²+2*x*6 +6²=x²+12x+36
Answer:
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Step-by-step explanation:
Answer:
The National Academy of Sciences has established the Acceptable Macronutrient Distribution Range (AMDR), which are dietary guidelines regarding the acceptable range of certain nutrients (such as fat, carbohydrates and protein) in our everyday diet. According to the AMDR, 45-65% of our everyday calorie intake should come from carbohydrates. Therefore, 1125 [(2500*45)/100] to 1625 [(2500*65)/100] kilocalories should come from carbohydrates.
Step-by-step explanation:
The number 1.04 represents the rate at which the house appreciates, or increases in its price annually.
As according to the values of an exponential equation, which is represented by this: y=ab^x, the a value represents the original price, the b value represents the rate of growth/decay (if growth, you add 1 to the rate, if decay, you subtract the rate from 1), and x represents the amount of times it decays or grows.
As according to the function <span> f(x) = 242,000(1.04)^x, 242,000 is the original price and 1.04 is the rate of growth since 1 has been added to the the 4% annual growth.</span>
Answer = a
Explanation- A cube is a 3D figure and each face would be a square since it is a cube. Since each side is a square all the sides are the same Width, Length, and height. Therefor you would be multiplying whatever number your have by itself 3 times because the formula would be Length x Width x Height
