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MatroZZZ [7]
2 years ago
11

Which expression is equivalent to 3(6m)+m? A)19m B)21m C)7m+3 D)18m+6m(with exponent 2)

Mathematics
1 answer:
julsineya [31]2 years ago
5 0
A) 19m because 3 times 6 is 18 then you add m, which would be 19m
You might be interested in
0.91 divided by -0.13
den301095 [7]
0.91÷-0.13
=-7
hope this helps!
7 0
3 years ago
Read 2 more answers
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
Work out the answers to:
const2013 [10]

Answer:

A=-4 B=-8 C=8

Step-by-step explanation:

If you need to check these answers multiply the answer by the second number.

A) -4x-3=12  A negative times a negative is always positive.

B)-8x9=-72 A negative times a positive is a negative.

C) 8x-2=-16 A negative times a positive is a negative.

3 0
2 years ago
Can someone figure out the problem in this image?
erma4kov [3.2K]
Right side:
(1/27)^(2x+10)
=(3^-3)^(2x+10)
= 3^(-6x - 30)

Re-write both sides:
3^(4x-5) = 3^(-6x - 30)

from here, you can solve x 

4x - 5 = -6x - 30
4x + 6x = -30 + 5
10x = -25
    x = -2.5
7 0
3 years ago
The two right triangles on the graph below are similar.
ss7ja [257]

Answer:

B is the correct chose

Step-by-step explanation:

4 0
3 years ago
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