Answer:
x = -2
Step-by-step explanation:
Arrange 6x + y= -5, -6x + 12y=96 vertically:
6x + y= -5
-6x + 12y=96 Now combine like terms:
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13y = 91
Solving for y by dividing both sides by 13: y = 7
Find x by substituting 7 for y in the second equation: -6x + 12(7) = 96
Then -6x = -84 + 96, or:
-6x = 12, and so x = -2
Answer:
-4,15 -14,5 6,5
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
A graphing calculator answers these questions easily.
The ball achieves a maximum height of 40 ft, 1 second after it is thrown.
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The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.
h(t) = -16(t^2 -2t) +24
h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square
h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form
Compare this to the vertex form:
f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'
We see the vertex of our height equation is ...
(h, k) = (1, 40)
The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.
Answer:
4+2=6
15*6=90
9+9=18
18*3=54
90+54=144
Step-by-step explanation:
you have to add both the W and H together and then multiply them by the number of windows (4+2=6 , 16*6=90)
and the same with the garage doors (9+9=18, 18*3=54) then you take you two totals from multiplying and add them together (90+54=144)
Answer:
A rectangle is bounded by the x-axis and the semicircle y = √(25 - x²). What length and width should the rectangle have so that its area is a maximum?
Step-by-step explanation: