First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
Answer:
Negative time a negative equals a positive!
Step-by-step explanation:
When you multiply two negative numbers or two positive numbers then the product is always positive. The same also goes for dividing negative integers.
Step-by-step explanation:
Total number of outcomes = 52 , since each deck consists of 52 cards
probability = Number of favorable outcomes/ Total number of outcomes
a) Number of favorable outcomes = Number of club cards = 13
P(club) =13/52 = 1/4
b) Number of favorable outcomes = Number of red cards = 26
P(red card) = 26/52 = 1/2
c) Number of favorable outcomes = Number of cards that are not hearts = 39/52 = 3/4
Answer:
B) 2
Step-by-step explanation:
f(-2) = 2 * (-2)^2 + 3(-2)
f(-2) = 2 * 4 - 6
f(-2) = 8 - 6
f(-2) = 2
The probability of getting no points on any given question is 2/3, so for 20 independent questions, it is (2/3)^20 ≈ 3.007*10^-4.
