The set of rental car rates making it more economical for Jamal than employing taxi services is outlined as A = {x | 0 ≤ x < 26} [where x represents dollars]. The step-by-step breakdown is as follows: Let the rental cost be $x per day. With Jamal's trip extending over 4 days, factoring in $24 for gas, and estimating taxi costs at around $128, an inequality emerges: 128 > 24 + 4x. Thus simplifying leads to 4x < 104 and consequently x < 26.
The expression is 4*sqrt(30). Work Shown: Let's define circles P and Q with P representing the area of the circle with a radius of 19 and Q for a radius of 29. By using A = π*r², P calculates to 361π and Q to 841π. The resultant shaded area between circles P and Q is R = Q - P, which amounts to 480π. To ascertain the radius of a new circle S that would equal this area, we simplify R = 480π to find r = sqrt(480) leading us to r = 4*sqrt(30).
Answer: x1 = 251/26, x2 = -111/26
Step-by-step explanation:
Greetings!
As illustrated in the diagram, the point you seek is where the two lines intersect.
This intersection point is found by solving the system of linear equations (both equations must be satisfied by the point):
You can approach solving it using the substitution method:
Then substitute x1 into equation 2 to resolve x2:
After which, utilize the x2 value to establish x1:
I'm quite terrible at this aspect, so I'm merely making a guess.
X serves as the variable while x denotes the multiplication symbol.
X + (X x 3 - 1) + (X x 3 - 1) - 4) <span>≥ 45 is the outcome I arrived at.
The solution to that inequality is
X </span><span>≥ 7, I suppose.</span>
