Answer:
a=54
Step-by-step explanation:
Because the problem gives you the value of b simply plug it in the equation a=12b. The new equation should look like this when plugged in: a=12(4.5). Now multiply 12*4.5=54. The new equation would then become a=54
The first one is of order 5, so it has either 1, 3 or 5 real roots (unless any coefficent was complex). Proof complete :)
The other one, if it has a solution, it must be in [-1;1]. Because it only gives positive results the solution is further restricted to [0;1]. Because the cosine function is continuous and strictly decreasing on this interval, the difference of x and it's cosine will shrink up to some point within the interval where it gets to 0 (the solution) and then flips sign (the cosine gets less than the number), further decreasing until the end of the interval.
Thanks for the question!
When you multiply or divide both sides of an inequality, you flip the sign. "Flip," meaning greater than becomes less than and less that becomes greater than.
Hope this helps!
It means you have to find what number equals 36 but multiplying with 2
