The function, g(x), has a constant rate of change and will increase at a faster rate than the function f(x) for all the values of x.
Given:
g(x) = 5/2 x -3 ..... (1)
f(x) = - 3.5 at x = 0
So, putting the value of x=0 in equation (1) for comparison. We get,
g(x) at x = 0
=> g(x) = 5/2 x (0) - 3
=> g(x) = -3
In this value of x function g(x) is faster than function f(x) having a value equal to -3.5.
Similarly, put x = 1 in equation (1) for comparison. We get,
=> g(x) = 5/2 x (1) - 3
=> g(x) = (5-6)/2
=> g(x) = -1/2
In this value of x function g(x) is faster than function f(x) having a value equal to -1.
Similarly, put x = 2 in equation (1) for comparison. We get,
=> g(x) = 5/2 x (2) - 3
=> g(x) = (5-3)
=> g(x) = 2
In this value of x function g(x) is faster than function f(x) having a value equal to 1.5.
Similarly, put x = 3 in equation (1) for comparison. We get,
=> g(x) = 5/2 x (3) - 3
=> g(x) = (15/2 - 3)
=> g(x) = 7.5 - 3
=> g(x) = 4.5
In this value of x function g(x) is faster than function f(x) having a value equal to 4.
Therefore, for all values of x function g(x) is faster than function f(x).
function f(x).
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Answer:
Given
Step-by-step explanation:
Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.
Comparing △RST and △VWX;
TU ~ XY (given altitudes of the triangles)
<TUS = <XYW (all right angles are congruent)
<UTS ≅ <YXW (angle property of similar triangles)
Thus;
ΔTUS ≅ ΔXYW (congruent property of similar triangles)
<UTS + <TUS + < UST = <YXW + <XTW + <XWY = 
(sum of angles in a triangle)
Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX
So that:
= 
(corresponding side length proportion)
9514 1404 393
Answer:
(√7)/3
Step-by-step explanation:
The relationship between tangent and cosine is ...
tan(α) = √(1/cos(α)² -1)
The cosine of the angle is given as 3/4, so the tangent is ...
tan(arccos(3/4)) = √(1/(3/4)² -1) = √(16/9 -1) = √(7/9)
tan(arccos(3/4)) = (√7)/3
Answer:
we need to find out if the following get x = 2 as a final product
-2(x-4) = 4
-2x + 8 = 4
-2x = -4
x = 2
so it is a solution
26/x = 13
26 = 13x
x = 26/13
x = 2
so it’s a solution
-3.8x = -7.4
x = 7.4/3.8 ≠ 2
you get ≈ 1.95
so it’s not a solution
4(x-1) - 3(x-2) = -8
4x - 4 - 3x + 6 = -8
x + 2 = -8
x = -10
so it’s not a solution
creo que la respuesta el 10 minutos, porque dice "horas" pero no dice a cuantas horas equivale :) espero que te aya adudado auque sea un poquito
