Answer:
#1: x = 3; #2 c = 1/2; #3 = x = 22; #4 is correct (x = -8)
Step-by-step explanation:
for the first equation everything was right until 22x = 66
after
22x = 66
you must divide everything by 22
x = 3
that is for #1
for the second equation you copied down the question wrong
the negative is still there
6c - 8 - 2c = -6
combine 6c and -2c
4c - 8 = -6
the negative remains on the 8
add 8 to both sides
4c = 2
divide 4 to both sides
c = 2/4 or just 1/2
for the third equation you must first combine like terms
-3x + 25 + x + 21 = 2
combine -3x and x & 25 and 21
-3x + x = -2x
25 + 21 = 46
-2x + 46 = 2
then subtract 46 from both sides
-2x = -44
now divide both sides by -2
x = 22
that is your answer
number four should be correct
Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))
Let A = arcsin(-5/13) = -arcsin(5/13)
Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12
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Solve this problem using an equation of ratios:
85 pounds
-------------- = ?
1 year
I think you may have omitted some key info from this problem. You don't say how many hives are on this farm, for example.
Answer choice B, G(x) = (x-2)^3
Answer:
C.) f(x) = −4x + 200
Step-by-step explanation:
Since the number is decreasing, you know the slope will be negative, eliminating the first two choices. The equation in the last choice does not match the given data, so it can be eliminated.
In other words, the easiest way to solve this problem is to check the answers against the given data.
_____
If you want to write the equation from scratch, you need to find the slope. That is ...
(change in number of cars)/(change in weeks) = (184 -192)/(4 -2) = -8/2 = -4
This matches only one answer, but you can go on to finish the equation by starting with point-slope form:
y -192 = -4(x -2)
y = -4x +8 +192 . . . . add 192, eliminate parentheses
y = -4x + 200 . . . . matches choice C.)
