F(x)= -4x²-7 find,
a. f(x)-f(a)/x-a =
b. f(x-h)-f(x)/h =

Step-by-step explanation:

a. (-4x^2-7) - (-4a^2-7) / x-a

b. (-4(x-h)^2-7) - (-4x^2-7) / h

since there are no numbers to plug in for the variables (a, h, x) there is no possible numerical value for the equations. The format of the equations seems familiar in the sense of limits for calculus, but I could be wrong.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of