Answer:
x = 5/8
Step-by-step explanation:
24a = 15
Divide both sides by 24:
24a ÷ 24 = 15 ÷ 24
x = 5/8
Dy/dx=2x+2
So velocity will be zero when 2x+2=0, x=-1
Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.
y(-1)=1-2+3=2
So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.
And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)
The domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = -4.92x² + 17.96x + 575
The above function is a quadratic function and we know,
The quadratic function domain is all real numbers.
The domain of the function is all real numbers or
D ∈ R or (-∞, ∞)
The range:
From the graph of a function:
The maximum value of the graph:
f(1.825) = 591.39
So the range of the function:
R ∈ (591.39, ∞)
Thus, the domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)
Learn more about the function here:
brainly.com/question/5245372
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This an isosceles right triangle. The sides opposed to the angle 45° are congruent. Let x be this side==> x²+x² =(7√2)² (Pythagoras)
2x² = 49(2) ==> 2x²= 98 ==> x²=49 & x=7
Because you are using the format y = mx +c the c value is the y offset.
in this equation the equation can be rewritten as y = 1x -3
Thus the y intercept, the y offset, must be -3.
Hope this helps! :)