Answer:
Where is the question??
Step-by-step explanation:
Answer:
There are 32 dimes and 25 quarters.
Step-by-step explanation:
q + d = 57 or q = 57 - d
25q + 10d = 945
substitute first equation into second equation:
25(57 - d) + 10d = 945
1425 - 25d + 10d = 945
-15d = -480
d = -480/-15 = 32
using first equation:
q = 57 - 32 = 25
check using second equation:
25(25) + 10(32) = 945 checks
The function f(x) = 6^(x)-2 has an x-intercept at approximately <span>(0.39, 0)
f(x) = 0 = 6^(x) - 2
2 = 6^(x)
log(2)/log(6)= x
x = 0.3868 = 0.39</span>
The answer to this question is A) (0.39, 0).
Original line equation: y=-4x+4
Perpendicular lines have opposite reciprocals, so the slope of the perpendicular line would be 1/4x.
Perpendicular line equation: y=1/4x+b
Plug in the coordinates that the line passes through to solve for b. Plug -8 in for x and 2 in for y.
2=1/4(-8)+b
Multiply.
2=-2+b
Add 2 to both sides.
4=b
Equation of the perpendicular line: y=1/4x+4
Hope this helps! :)