Answer:
The third expression: (2x)^3
Step-by-step explanation:
Plug in 3 for x in each expression
2x^3
2(3)^3
Use PEMDAS
2 (3 × 3 × 3)
2 (9 × 3)
2 (27)
54
2x^3 + 5
(The last expression told us 2x^3 = 54 so feel free to use this information to make life easier)
54 + 5
59
(2x)^3
(2 × 3)^3
Use PEMDAS
6^3
6 × 6 × 6
36 × 6
216
(x - 1)^3
(3 - 1)^3
Use PEMDAS
2^3
2 × 2 × 2
4 × 2
8
216 is the greatest value so the third expression is the answer
For question 1:
Since each person is going to eat 1/4 of pizza and there are two of them, there are going to be 8 slices. There are 5 people eating, that's 5 slices gone, leaving 3.
It would be <u>D.) 3/4 pizza</u>
For question 2:
three people order the same meal. Now, if I'm correct, the meal total is AFTER the coupons were used. so that would bring total cost up to $30.75.
Divide that by 3 for all three friends:
30.75/3 = <u>D.) $10.25</u>
<h2><u>Angles</u> </h2>
<h3>Hintunglah nilai x</h3>
Seperti yang anda lihat dalam rajah, kedua-dua sudut membentuk pasangan linear. Untuk menyelesaikan x, samakan dua ukuran sudut yang diberikan kepada 180.
<u>Diberi:</u>
20 + 6x°
4x°
<u>Penyelesaian:</u>
- 20 + 6x + 4x = 180
- 20 + 10x = 180
- 10x = 180 - 20
- 10x = 160
- x = 160/10
- x = 16
Buktikan bahawa kedua-dua sudut adalah pasangan linear:
- 20 + 6x + 4x = 180; x = 16
- 20 + 6(16) + 4(16) = 180
- 20 + 96 + 64 = 180
- 116 + 64 = 180
- 180 = 180
<u>Jawab:</u>
- Oleh itu, nilai x ialah <u>16</u>.
Wxndy~~
<h3>
Answer: 20</h3>
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Explanation:
It might help to rotate the figure so the parallel sides are horizontal. This is optional.
The parallel bases are and in either order.
The height is h = 4 which is always perpendicular to both bases.
Plug these values into the trapezoid area formula.
The area of the trapezoid is 20 square units.
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Another pathway is to break the trapezoid into a rectangle up top and a triangle down below.
The rectangle is 4 by 4 with area 4*4 = 16
The triangle has a base of 6-4 = 2 and height of 4, so its area is base*height/2 = 2*4/2 = 8/2 = 4
Overall the total area is rectangle+triangle = 16+4 = 20 square units.
Answer:
Answer is 2
Step-by-step explanation:
We know that average rate of change of a function f(x) in the interval (a,b) is
Using this we can say that
Using properties of integration we have
3 to 6 integral = 20-5 =15
0 to2 integral = -3=5 =-8
Thus integral form 0 to 6 would be = -8+15+5 = 12
Average rate of change form 0 to 6 =
Answer is 2