Sarah thinks that the following expressions are equivalent: 2x + 3 = x/2+ ¾ Is she right? If so, prove that these two expressions are equivalent. If not, what error(s) did she make?

Q: Why the final answer is 4sin(1+x)?

A: To simplify 4 sin 5x cos 6x+4 cos 5x sin 6x.To justify whether the final answer is 4 sin1+x.

Q: S (3×÷12x -15)% 2dx +12メ -15)2

A: Here we have to find the value of     ∫ 2dx/(3x2+12x-15)

Q: Add brackets to make this statement true. Justify 12 + 12 / 6 - 2 x 3 = 13

A: The objective is to add brackets to make the statement true.

Q: What is y×5÷10?

A: y/2

Q: I don't understand the a20 answer?? Is that 2n-7??

A:

Q: (√−81 + 3)(√−25 − 1)

A:

Q: How do you simplify the following expression? -3x(1/2(3x-2y) - 2(x(3+y) + 4y))

A:

Q: Find the unknown variable: C(n+1, 7) = O! Your answer

A: Value of n

Q: 10t-3t squared)+12(8t+2) after simplifying, what number is multiplied by t?

A:

Q: 2. Find the value of x (3r - 7) 29 D

A:

Q: (4e-2)-3 -3 2. e2

A: 2 Given expression is 4e−2−3e2. We have to solve the the given expression.…

Q: 2+V2+/2+20 do

A: ∫2=2+2+2  cosθ   dθ ∫2+2+21+cosθ  dθ  ∵1+cos θ=2 cos2θ ∫2+2+2×2 cos2θ  dθ

Q: What Went Wrong? A student multiplied V-9 and V-9 as follows: V-9.V-9 = = V(-9)(-9) = V81 = 9 The…

A: Answer: The answer is -9

Q: Determine the terms considering y20 in the expression of ((x÷3)+2y2)15

A: Binomial expression.

Q: Which of the following is the value of the expression o ² 1/2 2 (3) X4 x² +4 2 X when x = -2?

A:

Q: Consider the following. -5 3 -HAN A = 2-5 B = 1 2 1 0 (a) Find A + B. 3 5 -3

A: we have given

Q: The largest non-permissible value for x in the expression 10x + 5x? 4x + 20 4x2 8x - 25 + 5x is

A: Solution

Q: Simplify the following expression: (2n + 2)(6n+1)

A:

Q: (a3 − 13a2 + 40a + 14) ÷ (a − 7)

A: I will solve this division problem using long division method.

Q: Find, if possible, (a) AB and (b) BA.

A:

Q: Name the property illustrated by the equaility (3+5)+9 = (5+3)+9? show your work neatly?

A: 3+(5+9) = (5+3)+9

Q: When does 7 + 7 = 2 is true? Elaborate.

A: we have to prove that when 7 + 7 =2 ?? We use Congruence Modulo.

Q: Show that (A + B)² is different from A? + 2AB+ B², when 1 A = 2 1 and B 3

A:

Q: Consider the following expression -4n2+6n-3. What is the coefficient of the n2 term?

A: -4n2+6n-3 we have to find the coefficient of the n2 term

Q: Va Which of the following is equivalent to a7 +b" O ai - 6" O (ab)F O none of the choices

A: Given expression: abn ⇒abn=a12bn

Q: if x+5 = 12, then x=7what is the property?

A: Given that: x + 5 = 12

Q: (12 – 8j)(4 + 3j) + 10

A:

Q: Simplify the expression. (a) y5⋅ y2         (b) (8x)2          (c) x4x-3

A: Our Aim is to simplify the expression below:-(a)y5×y2Solution⇒y5×y2=y5+2=y7

Q: Simplify the following expression (6a⁴×7a-²)(4a-⁷)³

A: The exponential properties says that am×an=amn, amn=amn and a-m=1am.

Q: Find (a) ∣A∣ and (b) ∣A−1∣.

A: a).  Determinant of matrix A is

Q: f 98 + 3a = 4b, what is a in terms of b?

A: Given, 98+3a=4b what is a in terms of b

Q: Find (a) ∣A∣ and (b) ∣A−1∣.

A: a). Determinant of matrix A is,

Q: How many times does it take if u add 4+8 until you get the answer 40?

A: To find: The number times it take to add until get the answer 40. Calculation: Assume the number…