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Katarina [22]
3 years ago
10

If (5,3) is a point on the graph of y = f(x), which of the following must be on the graph of y= -8f(x)?

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

the new points that must be found in the graph is (5, -24).

The given points;

(5, 3)

function, y = f(x)

To determine the new points that will be on y = -8f(x)

The points that will be found on this graph must be within the given range of the function.

These new points are calculated as follow;

the x-intercept must remain the same while the y-intercept changes.

The y-value is already given as 3 and we rewrite it as;

f(5) = 3

-8f(5) = -8(3) = -24

The new coordinate that will be on the line = (5, - 24)

Thus, the new points that must be found in the graph is (5, -24).

Learn more here: brainly.com/question/7666399

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A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet a
Nimfa-mama [501]

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then  x₁ > x₂

3 0
3 years ago
Which is the property that justifies the action?
lidiya [134]
A) Action: multiply both sides by 4. 

Have a look: 

(x/4)x4=16x4 
x=64 

As you can see, the value of x can be found by multiplying 4 on both sides.

Hope I helped :) 


4 0
3 years ago
Read 2 more answers
How to solve x(x-3)=0
damaskus [11]

Step-by-step explanation:

x(x-3)=0

x=0 or (x-3) =0

x= 0 or x =3

7 0
3 years ago
The graph of y = Vx is translated 3 units to the left and 4 unitsdown.
Bezzdna [24]
You isolate the v and move 3 units down to the left which leads u to 10. Hope this helped
7 0
3 years ago
Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by
elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

We have

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h

Expand the numerator using the binomial theorem, then simplify and compute the limit.

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

In general, the derivative of a power function f(x) = x^n is \frac{df}{dx} = nx^{n-1}. (This is the aptly-named "power rule" for differentiation.)

3 0
2 years ago
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