Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
A line parallel to y = 2/3 x - 5 will have a slope of 2/3.
The equation of a line passing through (-6, -1) with a slope of 2/3 is
y - (-1) = 2/3 (x - (-6))
Answer:
7a+28b=21
Step-by-step explanation:
7×a=7a
7×-3= -21
7×+4b=+28b
so....
7a-21+28b=0
7a+28b=21
Answer:
The retail price to purchase a remote-controlled car at the hobby store is $42
Step-by-step explanation:
Original Price of remote controlled car = $35
Mark up = 20%
We need to find retail price.
First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.
Finding 20% of 35

So, mark up price is $7
Now, the retail price will be:
<em>Retail price = Original Price + Mark up</em>
Retail price = 35 + 7
Retail price = 42
So, the retail price to purchase a remote-controlled car at the hobby store is $42