Answer:
1)
32x^2 - 28x - 15
2)
30x^2 + 54x - 12
Step-by-step explanation:
1.
(8x+3)(4x-5)
Using FOIL
= (8x)(4x) + (8x)(-5) + (3)(4x) + (3)(-5)
= 32x^2 - 40x + 12x - 15
= 32x^2 - 28x - 15
2.
(10x-2)(3x+6)
Using FOIL
= (10x)(3x) + (10x)(6) + (-2)(3x) + (-2)(6)
= 30x^2 + 60x - 6x - 12
= 30x^2 + 54x - 12
The number of scented candles ... x
the number of unscented candles ... y
x + y = 28
$16 * x + $10 * y = $400 ... 16 * x + 10 * y = 400
If you would like to know how many scented and how many unscented candles did the shop sell today, you can calculate this using the following steps:
x + y = 28 ... x = 28 - y
16 * x + 10 * y = 400
____________________
16 * (28 - y) + 10 * y = 400
16 * 28 - 16 * y + 10 * y = 400
448 - 400 = 16 * y - 10 * y
48 = 6 * y /6
y = 48 / 6
y = 8
x = 28 - y = 28 - 8 = 20
Result: The candle shop sold 20 scented candles and 8 unscented candles today.
Y=1/2x-2
Since y is 2 less than half of x, you subtract to from 1/2x to equal y.
The key thing to remember when you're working a problem like this is that
the cube has no memory ... it doesn't know what happened on the last roll,
so the chance of any particular thing happening on the 2nd roll, or on the
100th roll, is the same as it was on the first roll.
Probability of success = (number of ways to succeed) / (total possibilities)
Number of ways for a 4 to come up . . 1
Total possible results of the roll . . . . . 6
Probability of rolling a 4 . . . . . 1 / 6 .
Probability of rolling two 4s . . . (1/6) x (1/6)
Probability of rolling three 4s . . (1/6) x (1/6) x (1/6) = 1/216 = about <em>0.46%</em> .
Answer:
A. ZA+ZB =180
B. ZA is 135 and ZB is 45
Step-by-step explanation:since ZA and ZB are supplementary
ZA+Zb =180°
But ZA=3ZB
∴ 3ZB+ZB=180° ⇒4ZB=180°
∴ZB =45
