X² = 5
take root to both side to clear the square
√x² = ±√5
X = ±√5
Answer:
t = 6 years
Step-by-step explanation:
Use the simple interest formula: i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.
Here we want to know how long it will take for the interest alone to reach $449.40. We first solve i = prt for t, obtaining t = i/(pr).
Here, the length of time is t = ($449.40) / (0.06*$1498.00). This works out to
t = 5.9947, or approximately 6 years.
t = 6 years
Answer:
(-2.2, -1.6), (3, 1)
Step-by-step explanation:
You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.
Use the first equation to write an expression for x, then substitute that into the second equation:
x = 2y +1
y^2 -3(2y+1)(y) +8 = 0
-5y^2 -3y +8 = 0
-(5y +8)(y -1) = 0
y = -8/5 or y = 1
The corresponding values of x are ...
x = 2(-8/5)+1 = -11/5
x = 2(1) +1 = 3
The solutions are (x, y) = (-2.2, -1.6) and (3, 1).
Answer:
1. >; 2. >
Step-by-step explanation:
1.
⅜ (?) 0.295 Convert ⅜ to a decimal fraction
0.375 (?) 0.295
We can use a <em>number line</em> to decide which number is greater.
In Fig. 1 below, when we go from 0.295 to 0.375, we are moving to the <em>RIGHT</em>, so 0.375 is greater than 0.295.
0.375 > 0.295
2.
-0.770 (?) -4/5 Convert ⅘ to a decimal fraction
-0.770 (?) -0.800
In Fig. 2 below, when we go from -0.80 to -0.77, we are moving to the <em>RIGHT</em>, so -0.770 is greater than -0.800.
-0.770 > -0.800