Why is this graph proportional?

Mathematics

1 answer:

Anastasy [175]3 years ago

8 0

Answer:

The graph represents a linear function that passes through the origin.

Step-by-step explanation:

Proportional functions can be represented by $y=kx$ , where $k$ is some constant. They form a straight line that always pass through the origin (0,0). We can see all these characteristics in the graph, thus the graph is proportional.

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Consider the function f ( x ) = 1 − 4 x 2 on the interval [ − 1 , 3 ] . Find the average or mean slope of the function on this i

Blababa [14]

Answer:

The average slope is 8.

Step-by-step explanation:

Let f be defined on the closed interval [a, b]. The average slope of f between a and b is the quotient

average slope = $\frac{f(b)-f(a)}{b-a}$

To find the average slope of the function $f(x)=1-4x^2$ on the interval [-1, 3] you have to evaluate your function in the interval and then divide by the interval.

So,

$f(-1)=1-4(-1)^2=-3\\\\f(3)=1-4(3)^2=-35$

The average slope is $\frac{f(3)-f(-1)}{3+1}= \frac{-3+35}{3+1}=\frac{32}{4}=8$

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3 years ago

Evaluate d/2 + c/3 for c = 6 and d = 10 a) 10 b) 16/5 c) 7 d) 6

pshichka [43]

D/2 + c/3

10/2 + 6/3

5+6/3

=5+2

=7

4 0

3 years ago

(Different one) Factor 6x^2 - 10x - 4

Alina [70]

We can first factor all the terms by 2:
6x^2 - 10x - 4=2(3x^2-5x-2)

Then we solve 3x^2-5x-2=0.

Discriminant : 25+4*3*2=49=7^2 hence the roots are (5-7)/6 and (5+7)/6 which are -1/3 and 2

Hence 3x^2-5x-2=(x-2)(3x+1)

Thus 6x^2-10x-4=2(x-2)(3x+1)

6 0

3 years ago

Read 2 more answers

HELP! How do you do this!! Need help ASAP!!

raketka [301]

Multiplying binomial and polynomials can be easy as long as you follow the steps for example:

Let's say you were multiplying 3x-3 and x+2

(3x-3)(x+2)

remember FOIL

OR think about it like this(see attatchment)

3x^2 + 3x -6 is what you should get