Answer:
Step-by-step explanation:
The system of equations is given as
y=x^2-5x+7 - - - - - - - - - - 1
y=2x+1 - - - - - - - - - - - - - - 2
We would equate equation 1 to equation 2, it becomes
x^2-5x+7 = 2x+1
x^2-5x+7- 2x - 1 = 0
x^2-5x+7- 2x - 1 = 0
x^2 - 5x - 2x + 7 - 1 = 0
x^2 - 7x + 6 = 0
We would use the factorization method of solving quadratic equations.
x^2 - 6x - x + 6 = 0
x(x - 6) - 1(x - 6)
(x - 6)(x - 1) = 0
x - 6 = 0 or x - 1 = 0
x = 6 or x = 1
Substituting both values of x into equation 2, it becomes
For x = 6,
y=2×6 + 1 = 12 + 1 = 13
y = 13
For x = 1,
y=2 × 1 +1 = 2 + 1 = 3
y = 3
Answer:
FG = 10
Step-by-step explanation:
EF = x + 2 ; FG = 2x - 6
F is the mid-point of EG. So, EF = FG
FG = 2×8 - 6 = 10
Answer:
y = 
x + 2
Step-by-step explanation:
To find the slope:
Find two spots where the line intersects and exact point. (-8,-4)(-4,-1)
Either count up & over or do y1-y2 / x1-x2 (-4+1)/(-8+4) -3/-4 3/4
The intercept is where it crosses the y-axis, in this case 2
Write the equation like this y = mx + b where m=slope & b=intercept
y = 3/4x + 2
Answer:
c. 0.3421
Step-by-step explanation:
The computation of the probability of selecting the biased coin is shown below:
The probability of any coin selected is 1 ÷ 2
The probability in the case when the biased coin chosen & wins 1 ÷ 2 (1 - 0.74)
And, the win probability is 1 ÷ 2 (1 - 0.74) + 1 ÷ 2 (1 - 0.5)
Now the probability of biased or win is
= {1 ÷ 2 (1 - 0.74)} ÷ { 1 ÷ 2 (1 - 0.74) + 1 ÷ 2 (1 - 0.5)}
= 0.13 ÷ 0.38
= 0.3421
Hence, the correct option is c. 0.3421
Answer:
b. 4,264,650
Step-by-step explanation:
(9 * 9 * 9 * 9) * (26 * 25)
