Answer:
y +9 = 15(x -2)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . for slope m and point (h, k)
Here, you are given m=15 and (h, k) = (2, -9). Putting these values into the form gives the equation ...
y +9 = 15(x -2)
Equation: 50 is greater than or equal to 45 + .5(x)
x = amount of pictures you can send without going over your budget
subtract 45 from both sides. you are left with: 5 is greater than or equal to .5(x)
multiply both sides by 2. you are left with: 10 is greater than or equal to x
Answer: 10 is greater than or equal to x
X+y=45
2x=3y
2(45-y)=3y
90-2y=3y
90=5y
y=18
x+y=45
x+18=45
x=27
The two numbers are 18 and 27
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Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
