Area = length x width
Area = 21 square cm
Width = x
Length = 3x + 2
21 = 3x+ 2 * x
21 = 3x ^2 + 2x
Subtract 21 from both sides:
3x^2 + 2x -21 = 0
Use the quadratic formula to solve for x:
-2 +/- sqrt(2^2-4*3(-21))/(2*3)
X = 7/3 and -3
A dimension can’t be a negative value so x needs to be 7/3
Width = x = 7/3 = 2 1/3 cm
Length = 3(7/3) + 2 = 9 cm
Check: 9 x 2 1/3 = 21
Dimensions: width 2 1/3 cm length 9 cm
Answer:
First
Step-by-step explanation:
Any multiplicand multiplied by x-2 must be of the first degree for the product to be of the second degree (such as x^2 + 11x - 10 is).
2x² + 4x - 16 = 0
2(x²) + 2(2x) - 2(8) = 0
<u>2(x² + 2x - 8)</u> = <u>0</u>
2 2
x² + 2x - 8 = 0
x = <u>-(2) ± √((2)² - 4(1)(-8))</u>
2(1)
x = <u>-2 ± √(4 + 32)</u>
2
x = <u>-2 ± √(36)
</u> 2<u>
</u> x = <u>-2 ± 6
</u> 2<u>
</u> x = -1 ± 3
x = -1 + 3 U x = -1 - 3
x = 2 x = -4
<u />
If 3 of spades is drawn...and not replaced..
P(next card is spade) = 12/51
P(next card is a king) = 4/51
12/51 + 4/51 = 16/51
9514 1404 393
Answer:
$0.42
Step-by-step explanation:
Look at the function definition to see which part applies when x = 0.4. It will be the first part, which is defined for 0 < x < 1. That part tells you the postage for 0.4 oz is $0.42.
