Answer:
hope this helps
Step-by-step explanation:
solution:
x^2 + 3x + 5 = x + 13
x^2 + 2x -8 = 0
(x+4)(x-2) = 0
x = -4 or x = 2
if x = -4, y = 9
if x = 2 , y = 15
Answer:
B
Step-by-step explanation:
Using a graphing calculator, the graph shows an almost parabola like shape between 0 and 12
Plus if the width was equal or greater than twelve we would have a 0 or even negative volume which is impossible
Answer:
infinitely many solutions.
Step-by-step explanation:
y=4x
y-4=4 (x-1)
Lets substitute the first equation into the second equation.
4x -4 = 4(x-1)
Distribute
4x-4 = 4x-4
Subtract 4x from each side
4x-4x-4 =4x-4x-4
-4=-4
This is always true. X can be anything. We have infinite solutions
Answer and Step-by-step explanation:
C(x) be the statement "x has a cat"
D(x) be the statement "x has a dog"
F(x) be the statement "x has a ferret".
Universe = x = all students in your class.
a) A student in your class has a cat, a dog and a ferret
= ∃x(C(x) ∧ D(x) ∧ F(x))
b) All students in your class have a cat, a dog, or a ferret = ∀x(C(x) ∨ D(x) ∨ F(x))
c) Some students in your class has a cat and a ferret but not a dog = ∃x (C(x) ∧ F(x) ∧ ¬D(x))
d) No student in this class has a cat, a dog and a ferret ¬∃x (C(x) ∧ D(x) ∧ F(x))
e) For each of the three animals, cats, dogs and ferrets, there is as student in your class who has one of the three animals. (∃xC(x)) ∧ (∃xD(x)) ∧ (∃xF(x))
Answer:
undefined
Step-by-step explanation:
Since we have two points we can use the slope formula
m = (y2-y1)/(x2-x1)
= (-2--6)/(4-4)
= (-2+6) / 0
We cannot divide by 0 so the slope is undefined