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Mrrafil [7]
3 years ago
11

5-6 study guide and intervention graphing inequalities in two variables

Mathematics
1 answer:
Contact [7]3 years ago
4 0
Ok what’s the question?


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Please help me out here <br> *image attached
andrew-mc [135]

Answer:

Rate of change =  change y / change x

Change y = + 1

Change x = + 2

SO the rate of change is 1/2

WHAT IS THE Y VALUE WHEN X IS 9

y = 1 MULTIPLY by 4.5 = 4.5

x = 2 MULTIPLY by 4.5 = 9

Y = 4.5 when x = 9

5 0
3 years ago
A rectangle has its base on the x axis and its upper two vertices on the parabola y = 9 − x2. (a) Draw a graph of this problem.
gtnhenbr [62]

Answer:

  • (a) see attached
  • (b) width: 2x; height: y = 9-x²
  • (c) A=2x(9-x²) . . . 0 ≤ x ≤ 3
  • (d) dA/dx = -6x² +18; x=±√3
  • (e) 12√3 units²

Step-by-step explanation:

(a) The attachment shows the graph of the parabola in blue. It also shows an inscribed rectangle in black.

(b) The upper right point of the rectangle is shown in the attachment as (x, y). The dimension y is the height of the rectangle. The x-dimension is half the width of the rectangle, which is symmetrical about the y-axis. Hence the width is 2x.

(c) As with any rectangle, the area is the product of length and width:

... A = (2x)(9 -x²) . . . . . the attachment shows a graph of this

... A = -2x³ +18x . . . . . expanded form suitable for differentiation

A suitable domain for A is where both x and A are non-negative: 0 ≤ x ≤ 3.

(d) The derivative of A with respect to x is ...

... A' = -6x² +18

This is defined everywhere, so the critical values will be where A' = 0.

... 0 = -6x² +18

... 3 = x² . . . . . . . divide by -6, add 3

... √3 = x . . . . . . . -√3 is also a solution, but is not in the domain of A

(e) The rectangle will have its largest area where x=√3. That area is ...

... A = 2x(9 -x²) = 2√3(9 -(√3)²) = 2√3(6)

... A = 12√3 . . . . square units . . . . ≈ 20.785 units²

7 0
3 years ago
A company specializing in building robots that clean your
igor_vitrenko [27]

Multiply 0.25 by 2 and you get 0.50
8 0
3 years ago
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21/5 as a whole number
Softa [21]
4.2 is the answer of this question you are asking ✌️
4 0
3 years ago
Read 2 more answers
200 feet in 5 minutes
aleksandrvk [35]

Answer:

Step-by-step explanation:

Feet per minute is a unit of Speed or Velocity in both US Customary Units as well as the Imperial System. It measures the number of feet traveled in a minute. The symbol for feet per minute is ft/m.

4 0
3 years ago
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