- 5x-3y=11---(1)
- 3x+4y=4---(2)
(1)×3 and (2)×5
- 15x-9y=33-(3)
- 15x+20y=20-(4)
Subtract both
- Put in eq(1)
A hot air balloon is 10 meters above the ground and rising at a rate of 15 meters pre min. Another ballon is 150 meters above th
1 answer:
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Answer:
B (0, 285 ) , C (380, 0 )
Step-by-step explanation:
the first step is to obtain the equation of the line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )
m = =
=
= -
= - 0.75 , then
y = - 0.75x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equatio
using (620, - 180 ) , then
- 180 = - 465 + c ⇒ c = - 180 + 465 = 285
So y- intercept is B (0, 285 )
y = - 0.75x + 285 ← equation of line
to find the x- intercept , let y = 0 in the equation and solve for x
0 = - 0.75 + 285 ( subtract 285 from both sides )
- 285 = - 0.75x ( divide both sides by - 0.75 )
380 = x
x- intercept is C (380, 0 )
Answer: The answer is (b) (2, ∞)
Step-by-step explanation: We are given a function f(x) in the figure and we are to select out of the given options that accurately shows the range of the function defined.
Therefore, the range of the function f(x) will be greater then or equal to 2. So, the range will be [2, ∞).
Thus, the correct option is (b) (2, ∞).