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Ronch [10]
3 years ago
13

Which expression is equivalent? 8(3x − 6) A) 24x + 48 B) 24x − 48 C) −24x + 48 D) −24x − 48

Mathematics
2 answers:
telo118 [61]3 years ago
6 0

Answer:

If this is distributive property, you would change 8(3x-6) to 8(3)x-8(6) and another way to say that is 24x-48 so it would be b and for d there are two negative signs which would equal positive so b and d

Step-by-step explanation:

Irina18 [472]3 years ago
5 0
If this is distributive property, you would change 8(3x-6) to 8(3)x-8(6) and another way to say that is 24x-48 so it would be b and for d there are two negative signs which would equal positive so b and d
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Zak takes 3 steps for every 2 steps Rich takes. How many steps will zak take if rich takes 18 steps? Explain how you found the a
vodka [1.7K]
To solve this problem we can think of a rule of three.
 Writing the rule of three we have:
 3 ---> 2
 x ----> 18
 Clearing the value of x
 x = ((18) / (2)) * (3) = 27
 answer
 zak will take 27 steps if rich takes 18 steps
7 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
What is the value of 4 + 23. 3? Show your work.​
I am Lyosha [343]

Answer:

27.3

Step-by-step explanation:

    4

  <u>23.3</u>  +

  27.3

You can align the numbers over each other and simply add them.

6 0
2 years ago
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Step-by-step explanation:

6 0
2 years ago
How do you completely factor:<br><br> 2x^3 – 5x^2 – 22x + 55
DochEvi [55]

Answer:(X^2-11)(2X-5)

Step-by-step explanation:

2x^3-5x^2-22x+55

x^2(2x-5)-11(2x-5)

(X^2-11)(2X-5)

8 0
3 years ago
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