Answer:
11 units
Step-by-step explanation:
simply subtract -3 from 8, which is the same as adding 3 and 8, so the answer is 11 units.
Answer:
Step-by-step explanation:
f(x) = a(b^x), the initial value is always a, because a is independent of x , so when x changes only b^x changes.ex if a = 2, b = 3, and x = 0: f(0) = 2 (3^0) = 2 If x = 1, then f(1) = 2 (3^1) = 2 (3). If x = 2, then f(2) = 2 (3^2) = 2 (9), as you can see a still the same.
Quadratic formula
factoring
graphing
completing the square
factoring by grouping
Rational Roots Theorem
synthetic division
Take a look at <span>5x^2 – 34x + 24 = 0. The last term could have been the result of these different possible muliplications: 1*24, 2*12, 3*8, 4*6. The leading term is 5, whose factors are 5 and 1. Thus, possible rational roots would be
4/5 (the 4 is a factor of 24 and the 5 is a factor of 5) and 6/1 (the 6 is a factor of 24 and the 1 is a factor of 5).
Using synth. div. to check whether 6 is actually a root:
___________________
6 / 5 -34 24
30 -24
------ --------------------------
5 -4 0
since the remainder is 0, we can safely call 6 a "root."
Note the remaining coefficients, 5 and -4:
They correspond to the factor 5x - 4. If we set this difference = to 0, and solve for x, we get x = 4/5 (which is correct).
The roots of </span><span>5x^2 – 34x + 24 = 0 are x = 4/5 and x= 6/1.</span>
Answer:
$7.20
Step-by-step explanation:
The formula for simple interest is I = Prt, where P = principal, r = interest rate, t = time (usually in years), and I = amount of simple interest.
Thus, the answer is $7.20.
Answer:
Step-by-step explanation:
MS = RS - RM
MS = 13 in - 4 in = 9 in
By the rules of crossing chords, ...
MS × MR = PM × QM
(9 in)(4 in) = PM² . . . . . QM = PM
PM = √(36 in²) = 6 in
PQ = PM + QM = 2×PM = 12 in
