Answer:
S1) False. 2³ is 2 × 2 × 2 which is <u>8, not 6.</u>
S2) False. ( 2x / 3y ^ (2) ) ^ (3) =
( (2x) ^ (3) / ( (3y) ^ (2) ) ^ (3) ) = (2)³ × (x)³ / (3)³ × (y²)³ = 8 × x³ / 27 × y<u>⁶</u> = 8x³ / 27y<u>⁶</u><u>.</u>
<u>i.e </u><u>(</u><u>a^</u><u>b</u><u>)</u><u>^</u><u>c</u><u> </u><u>=</u><u> </u><u>a^</u><u>(</u><u>b </u><u>×</u><u> </u><u>c)</u><u>.</u>
S3) True.
S4) True.
S5) False. x^(-3) = 1 / x^(3) ≠ 1 / 3x
ANSWER
8 minutes
EXPLANATION
We know that the cost of using the internet in dollars is given by,
Where x is the number of minutes spent on the internet.
In this problem, we have to find how many minutes will 6 dollars buy. In other words, we have to find x for y = 6. To solve the given equation for x, we have to multiply both sides by 4,
And divide both sides by 3,
So, for y = 6, x is,
Hence, $6 will buy 8 minutes.
Answer:
perimeter = 12x+10 area=8x^2+14x+6
Step-by-step explanation:
A
2x+2+2x+2+4x+3+4x+3
2x+2x+4x+4x+2+2+3+3
4x+4x+4x+2+2+3+3
8x+4x+2+2+3+3
12x+2+2+3+3
12x+4+3+3
12x+7+3
12x+10
B
(2x+2)(4x+3)
8x^2+8x+6x+6
8x^2+14x+6
Answer:
2
Step-by-step explanation:
As these triangle has two proportional sides lengths (20/5 = 4 = 12/3), and this pair of sides confines two congruent angles (<P = <S), so these two triangles are similar...
and the postulate for this is: Side-Angle-Side (SAS)
choice: D