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What is the correct simplification of the expression b5 x b4?
The correct simplification of the expression b^5 x b^4 is b^(5+4) which equals b^9. This is because when multiplying two terms with the same base, you add the exponents. In this case, b^5 x b^4 simplifies to b^(5+4) which is equal to b^9.
Is a to the second power over b to the second power greater than a over b?
Let's reverse the question - Is a over b less than a squared over b squared? Answer - Only when a is less than b example 1: a is less than b a = 2 a squared = 4 b = 3 b squared = 9 2 / 3 = .6666 4 / 9 = .444444 2 / 3 is greater than 4 / 9 example 2: a is equal to b a = 2 a squared = 4 b = 2 b squared = 4 2 / 4 = .5 2 / 4 = .5 2 / 4 is equal to 2 / 4 example 3: a is greater than b a = 3 a squared = 9 b = 2 b squared = 4 3 / 2 = 1.5 9 / 4 = 2.25 3 / 2 is less than 9 / 4 - wjs1632 -
Examples of y equals m x plus b?
(2,4) and (-4,8) y=mx+b 4=m(2)+b 4=2m+b b=y2-y1 /x2-x1 b = (8-4)/(-4-2) b=4/-2 b=-2 4=2m+-2 6=2m 3=m So your y=mx+b equation would be: y=3x+-2
How do you factor b2 - 7b plus 12?
b^2 - 7b + 12 = b^2 - 4b - 3b + 12 = b(b -4) -3(b - 4) = (b - 3)(b - 4)
How do you prove that one is equals to two?
let a=b => a^2=a*b subtract by b^2 on both sides => (a^2)-(b^2)=(a*b)-(b^2) (a+b)(a-b)=b(a-b) => a+b=b since a=b 2a=a => 2=1......
Factor of 4ab3 without using exponents?
2 • 2 • a • b • b • b
Is negative 2 the same as 0.5?
negative 0.5 to the power of negative 2 is 4 Answer: (-0.5)-2 = 4 as a decimal. Exponents Calculator Please enter the base (b) and a exponent (n) to calculate bn: to the power of = ? Calculate Answer: (-0.5)-2 = 4 as a decimal.
What is the ordered pair of a equals 3b - 4 and a plus b equals 16?
Write down both equations (I'll label them (1) and (2)):(1) a = 3b - 4(2) a + b = 16Pass b to the left side of the equation (1):(1) a - 3b = -4(2) a + b = 16Multiply (1) by -1:(1) -a + 3b = 4(2) a + b = 16Add down both equations:-a + 3b + a + b = 4 + 164b = 20b = 5Replace b in (2):a + 5 = 16a = 11
3 plus 5 equals 4times b therefore b equals?
3 + 5 = 4*b so 8 = 4*b Divide both sides by 4: 2 = b
What is 4x squared times 4x squared?
When you multiply 4x² by 4x², you multiply the coefficients (4 * 4 = 16) and add the exponents of the variables (x² * x² = x^(2+2) = x⁴). Therefore, the result is 16x⁴.
Find the GCF of each pair of monomial of 8ab³ and 10a²b²?
To find the GCF of each pair of monomial of 8ab³ and 10a²b², we can use the following steps: Write the complete factorization of each monomial, including the constants and the variables with their exponents. 8ab³ = 2 ⋅ 2 ⋅ 2 ⋅ a ⋅ b ⋅ b ⋅ b 10a²b² = 2 ⋅ 5 ⋅ a ⋅ a ⋅ b ⋅ b Identify the common factors in both monomials. These are the factors that appear in both factorizations with the same or lower exponent. The common factors are: 2, a, and b² Multiply the common factors to get the GCF. GCF = 2 ⋅ a ⋅ b² = 2ab²
Does a less b differ from b less a explain your answer?
Yes unless a=b, when a-b and b-a both =0. Algebra it lets you generalise variables that may have very different values in use, so the acknowledgement of difference is implicit in use of different letters. question. E.g. let a=4, b=2 Then a-b = 4-2 = 2 But b-a = 2-4 = -2.
What is the Factor 2a4b3 without using exponents?
2 x a x a x a x a x b x b x b = 2a4b3
What would Factor 2a4b3 without using exponents?
2 x a x a x a x a x b x b x b
A plus b equals 4 and ab equals 2 then a4 plus b4 equals?
1 ------ a+b=4 2 ------ ab=2 ====> 3. b = 2/a Sub 3 into 1 ===> a + 2/a = 4 mutiply both sides by a ===> a2 +2 -4a = 0 use quadratic formula to find a ==> a= 2 +sqrt(2) or a' = 2- sqrt(2) use these two values of a to find a value for b using equation 3 ===> using a, b= 2-sqrt(2) and using a', b= 2+sqrt(2) hence a4 + b4 = (2+sqrt(2))4 + (2-sqrt(2))4 = 136 (for both values of a and b)
How do you factor a8-b8 completely?
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How do you write an equation for a parabola with a vertex at -4 2 and y-intercept -2?
1. The y-intercept of a parabola with equation y = ax^2 + bx + c is c. So, c = -22. The vertex is (x, y) = (-4, 2), where x = - b/2ax = - b/2a-4 = - b/2a(-4)(-2a) = (-b/2a)(-2a)8a = bSo we have:y = ax^2 + bx + c (substitute what you know: 2 for y, -4 for x, 8a for b, and -2 for c)2 = a(-4)^2 + (8a)(-4) + (-2)2 = 16a - 32a - 22 = - 16a - 2 (add 2 to both sides)4 = -16a (divide by -16 to both sides)-1/4 = aSince b = 8a, then b = 8(-1/4) = -2 Since a = -1/4, b = -2, and c = -2, then we can write the equation of the parabola asy = (-1/4)x^2 - 2x - 2.
