Answer:
Angles with the same measure are congruent, so Z1 = Z2.
Step-by-step explanation:
Answer: y= 1.5x -2 we find this by solving
Answer:
B.a=b, c≠0
C.a=b, c=0
D.a-b=1, c≠1
Step-by-step explanation:
The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x
Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.
A
a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0
B
a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.
C
This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.
D
Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.
E
Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.
<em>From the above, the answer to the question is choices </em><em>B, C, and D</em>
Answer: -8
Explanation: If g(x) = x² + 2x - 8, then g(-2) = (-2)² + 2(-2) - 8
which simplifies to 4 + (-4) - 8 or 0 - 8 which is -8.
Remember to always use parentheses when
substituting your given value in for <em>x</em>.
Answer:
g(x) = 0.8x gal/dollar
Step-by-step explanation:
This is a direct relation, each gallon costs 1.25, 20 gal. costs 25.00, etc.
so
f(x) = 1.25x where x = number of gal. f(x) is the cost
The inverse relation is the reciprocal,
for each $1.00, we can buy 1/1.25 = 0.8 gal.
or
g(x) = 0.8x where x = amount, g(x) is number of gallons
