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3 years ago

Does the graph represent a function below?

Mathematics

2 answers:

Nostrana [21]3 years ago

8 0

Yes I’m pretty sure is the correct answer

fenix001 [56]3 years ago

4 0

Answer:

A. Yes

Step-by-step explanation:

If you use the vertical line test it shows it's a function.

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A couple of students are testing a prototype for a science project on rockets. They launch the rocket and record its height over

Illusion [34]

For this case we have the following table:
x f(x)
0 2
1 5
2 10
3 17
 The equation that best fits the data in the table, for this case, is given by a quadratic function.
 The quadratic function in its standard form is:
f (x) = x2 + 2x + 2
Answer:
f (x) = x2 + 2x + 2

8 0

3 years ago

Read 2 more answers

10. Determine the open interval(s) on which the function f(x) = 12x - x^3 is increasing.

Gre4nikov [31]

Answer:

$\large\boxed{x\in(-2,\ 2)}$

Step-by-step explanation:

$f(x)=12x-x^3$

Calculate the derivative of the function:

$f'(x)=\left(12x-x^3\right)'=(12x)'-\left(x^3\right)'=12-3x^2$

Calculate the zeros of the derivative:

$f'(x)=0\Rightarrow12-3x^2=0\qquad\text{add}\ 3x^2\ \text{to both sides}\\\\3x^2=12\qquad\text{divide both sides by 3}\\\\x^2=4\to x=\pm\sqrt4\\\\x=\pm2$

Let's check the derivative sign:

$f'(x)>0\iff12-3x^2>0\qquad\text{use the distributive property}\\\\-3(x^2-4)>0\\\\-3(x^2-2^2)>0\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\-3(x-2)(x+2)>0\\^{\qquad x=2\qquad x=-2$

Sketch a parabola open down

(before the brackets there is the number -3 < 0)

Look at the picture.

Where the derivative is negative, the function decreases.

Where the derivative is positive, the function increases.

Therefore your answer is:

$x\in(-2,\ 2)$

3 0

4 years ago

Giving free brainliest to first correct response, what is 2+2+5+3+6+4+6+2+5+78+2+1?

Rom4ik [11]

Answer:

116

Step-by-step explanation:

2+2+5+3+6+4+6+2+5+78+2+1

4+5+3+6+4+6+2+5+78+2+1

9+3+6+4+6+2+5+78+2+1

12+6+4+6+2+5+78+2+1

18+4+6+2+5+78+2+1

22+6+2+5+78+2+1

28+2+5+78+2+1

35+78+2+1

113+2+1

116

3 0

3 years ago

Read 2 more answers

What is the slope for (-19, -6), (15, 16)

Licemer1 [7]

Answer:

11/17≈0.647059

Step-by-step explanation:

4 0

3 years ago

Find an equation of the plane that contains (3, 4, −9) and is parallel to x + y − 5z = 1. (Use x, y, and z for coordinates.)

emmainna [20.7K]

Answer:

x + y - 5z = 52

Step-by-step explanation:

Given data:

Point on the plane (3,4,-9)

parallel to x + y -5z = 1

Finding the normal vector

(1 , 1 , -5)(x, y , z) = 1

the normal vector is (1 , 1 , -5)

formula for finding equation the plane given the normal vector (a,b,c) and point (m,n,o) is as

a(x - m) + b(y - n) + c(z-o)=0

Substituting the data we have

1(x-3) + 1( y- 4) - 5(z+9) =0

x-3 +y -4 -5z -45 = 0

x + y - 5z = 45 +4 +3

x + y - 5z = 52

6 0

3 years ago