Answer:
Explanation:
Answer:
Reorder the terms:
8 + 6p + -4p = 3(p + 4)
Combine like terms: 6p + -4p = 2p
8 + 2p = 3(p + 4)
Reorder the terms:
8 + 2p = 3(4 + p)
8 + 2p = (4 * 3 + p * 3)
8 + 2p = (12 + 3p)
Solving
8 + 2p = 12 + 3p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-3p' to each side of the equation.
8 + 2p + -3p = 12 + 3p + -3p
Combine like terms: 2p + -3p = -1p
8 + -1p = 12 + 3p + -3p
Combine like terms: 3p + -3p = 0
8 + -1p = 12 + 0
8 + -1p = 12
Add '-8' to each side of the equation.
8 + -8 + -1p = 12 + -8
Combine like terms: 8 + -8 = 0
0 + -1p = 12 + -8
-1p = 12 + -8
Comb
Answer:
D. A semicolon can be used where you might use a period.
Explanation:
A semicolon can be used where you might used a period if the two sentences are related to each other. Also semicolons are used before words such namely, however, therefore. Semicolons are used to join two independent clauses that are similar/closely related to each other especially those joined by a words which are connectors like and, but, or, nor, e.t.c. If a sentence contain many commas, it is suitable to add a semicolon.
Answer: The answer is: f(x) = 2x^2 + 40x + 200
Explanation:
Given: x is the width of the Artwork
Let W be the Width of the Frame
Let L be the Length of the Frame
Width = x + 10
Length = Width * 2, so by substitution, Length = 2(x + 10)
Area = Width * Length
By substitution:
Area = (x + 10) * 2(x + 10)
f(x) = (x + 10) * (2x + 20)
f(x) = 2x^2 + 20x + 20x + 200
f(x) = 2x^2 + 40x + 200
To test this, if a picture 8" wide is put in this frame, the width would be 8+10 or 18 inches. The length would be twice the width, or 36 inches. The Area is 18 x 36 = 648.
Using the formula:
f(8) = (2 * 8^2) + (40 * 8) + 200
f(8) = (2 * 64) + 320 + 200
f(8) = 128 + 320 + 200
f(8) = 648
Answer:
Children often develop traditional gender roles despite parents discouragement of such roles.
