Please help me with this!!!!

Mathematics

1 answer:

allsm [11]3 years ago

5 0

Answer:

1. 64x² -48x +9

2. x = 8; (8, -62); (-∞, ∞); [-62, ∞)

Step-by-step explanation:

1) The area of a square is the square of the side length.

A = (8x -3)² = (8x)² +2(8x)(-3) +(-3)²

A = 64x² -48x +9 . . . . area of the sign

2) Axis of symmetry:

x = -b/(2a) = -(-16)/(2(1))

x = 8 . . . . axis of symmetry

The vertex can be found by adding and subtracting the square of the above value:

y = x^2 -16x +64 +2 -64

y = (x -8)^2 -62

Compare this to "vertex form" with vertex (h, k):

y = (x -h)^2 +k

The vertex is (x, y) = (8, -62).

The domain is all real numbers, as it is for any polynomial.

The range is all numbers at and above the vertex.

The range is all numbers greater than or equal to -62.

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3 years ago

3 Coached Example

Natalija [7]

Since 8 is subtracted from z, add 5 to both sides.

z - 8 + 5 <span>≤ 5 + 8

z </span><span>≤ 13
</span>
Graph the solution set on the number line below.
(The Graph will be at the bottom of the page).

Since the symbol is <span>≤, draw a(n) less than circle or equal to circle at 13.
</span>
This shows that 13 is a solution.

Since all values less than 13 are also solutions, draw an arrow to the left.

The solution set for the inequality is z <span>≤ 13, its graph is shown above.</span>