Answer:
x = ± 8
Step-by-step explanation:
Given
4x² - 256 = 0 ( add 256 to both sides )
4x² = 256 ( divide both sides by 4 )
x² = 64 ( take the square root of both sides )
x = ± 
= ± 8
Solutions are x = - 8, x = 8
Answer:
Jelly Bean price per pound = $3.25, Trail Mix price per pound = $1.25
Step-by-step explanation:
Let jb = price per pound of jelly beans
Let tm = price per pound of trail mix
equation 1 -> 6*jb + 2*tm = 22
equation 2 -> 3*jb + 5*tm = 16
simplify equation 1
6*jb + 2tm = 22
2*tm = 22 - 6*jb
divide by 2
tm = 11 - 3*jb
plug this into equation 2
3*jb + 5*tm = 16
3*jb + 5*(11-3*jb) = 16
3*jb + 55 - 15*jb = 16
-12*jb + 55 = 16
-12*jb = 16 - 55
-12*jb = -39
jb = -39/-12
jb = 3.25
then, plug the cost per pound of jelly beans back into the simplified equation 1
tm = 11 - 3*jb
tm = 11 - 3*3.25
tm = 1.25
Answer:
Step-by-step explanation:
The sequence above is a geometric sequence.
The common ratio (r) = 
The common ratio < 1, therefore, the formula for the sum of nth terms of the sequence would be: 
a1 = 3
r = -2
n = 6
Plug in the values into the formula
Answer:
98
Step-by-step explanation:
x(o) + 1(o) = 180(o)
∠2° = ∠x°
∠1° = ∠3°
We calculate for the actual length of the thing in the model that measures 25.25 by multiplying this value by the scale factor. That is,
(25.25 cm) x (55.5 m / 15 cm) = 93.425 m
Therefore, the real dimension of the object is approximately 93.43 m.
