<span>−8x+7y=25 is already in standard form, altho some people would prefer to re-write it as
</span><span>−8x+7y-25 = 0.
You have shared 4 equations here. Next time, please separate them with commas or semi colons, or type just 1 equation per line, for increased clarity. Thanks.</span>
Answer:
x = 5
Step-by-step explanation:
You want to find x such that ...
x^2 +(x +1)^2 = 61
2x^2 +2x -60 = 0 . . . . . simplify, subtract 61
x^2 +x -30 = 0 . . . . . . . divide by 2
(x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.
The relevant solution is x = 5.
Answer:
(3, -3)
Step-by-step explanation:
The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).
Number of students on the football team: 1 3/4x16= 12
There are fewer than 16 on the football team.
There are 12 students in the football team.