After 2 hrs, the car has traveled 90 miles....that means the car travels 90/2 = 45 miles per hr. After 7 hrs...the car has traveled 7 * 45 = 315 miles
Answer:
B (x^2 +4x -2) + (x^2 -2x +4)= 2x^2 +2x +2
Step-by-step explanation:
The blue are positive and the red are negative
The top line is x^2 +4x -2
The second line is x^2 -2x +4
Adding together
x^2 +4x -2 + x^2 -2x +4= 2x^2 +2x +2
4(3x – 2) + 6x(2 – 1)12x - 8 + 12x -6x18x - 8
answer is 18x – 8
Answer:
We conclude that 49x² - 28x + 4 = 0 has only one real root.
Thus, option B i.e. one real root is the correct option.
Step-by-step explanation:
Given the equation
49x² - 28x + 4 = 0
comparing with the quadratic equation ax² + bx + c = 0 for x, where a ≠ 0,
here
a = 49, b = -28, c = 4
Determining the discriminant b²-4ac
b²-4ac = (-28)² - 4(49)(4)
= 784 - 784
= 0
It is clear that the discriminant b²-4ac is equal to zero.
i.e.
b²-4ac = 0
We know that if the discriminant b²-4ac = 0, then the quadratic equation has one real root.
Therefore, we conclude that 49x² - 28x + 4 = 0 has only one real root.
Thus, option B i.e. one real root is the correct option.
Answer: $14.85
Step-by-step explanation:
Ww can solve the question using direct proportion with the formula y = kx
where y = annual salary
x = monthly policy cost.
k = constant of proportionality
Since y = kx
38500 = 11.55k
k = 38500 / 11.55
k = $3333.33
When Randy has an annual salary of $49,500, the amount Randy expect to pay for his policy will be:
y = kx
49500 = 3333.33x
x = 49500 / 3333.33
x = 14.85
The amount that Randy expect to pay for his policy will be $14.85