All categories

3 years ago

Estimate the average rate of change between x = 0 and x = 2 for the function shown.

Mathematics

2 answers:

dexar [7]3 years ago

6 0

Answer:

its not 10

Step-by-step explanation:

torisob [31]3 years ago

6 0

Answer:

the answer is 5

Step-by-step explanation:

You might be interested in

Vertex of x^2 + 6x + 17

jekas [21]

We have: $f(x)=x^2+6x+17$

Method 1.

Use: $(*)\ \ \ \ \ (a+b)^2=a^2+2ab+b^2$

and the vertex form $f(x)=a(x-h)^2+k$

(h, k) - the coordinates of a vertex

$x^2+6x+17=x^2+2\cdot x\cdot3+17=\underbrace{x^2+2\cdot x\cdot3+3^2}_{(*)}-3^2+17\\\\=(x+3)^2+8\to h=-3;\ k=8$

Answer: (-3, 8)

Method 2.

For $f(x)=ax^2+bx+c$ the coordinates of a vertex (h, k) are equal

$h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(b^2-4ac)}{4a}$

We have: $f(x)=x^2+6x+17\to a=1;\ b=6;\ c=17$

Substitute:

$h=\dfrac{-6}{2\cdot1}=\dfrac{-6}{2}=-3\\\\k=f(-3)=(-3)^2+6(-3)+17=9-18+17=8$

Answer: (-3, 8)

5 0

3 years ago

PROBLEM 01: There are 100 students waiting in line to get student IDs. Of these, 50 are from Indiana, 45 are freshmen, and 20 ar

iris [78.8K]

Answer: 30

Step-by-step explanation:

Let U be the total number of students waiting in line to get student IDs, A represents the number of students from Indiana and B represents the number of students are freshmen.

Given : n(U)=100

n(A)=50

n(B)=200

$n(A'\cup B')=20$

$\text{Now, }n(A\cup B)= n(U)-n(A'\cup B')\\\\\Rightarrow\ n(A\cup B)=100-20=80$

Also, $n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$\Rightarrow\ 80=50+45-n(A\cap B)\\\\\Rightarrow\ n(A\cap B)=95-80=15$

The number of students are freshmen who are not from Indiana is given by :-

$n(B)-n(A\cap B)=45-15=30$

Hence, there are 30 freshmen students who are not from Indiana

8 0

3 years ago

Find all points (x, y) on f(x) = X^3 – 4x + 3 where the slope of the tangent line is 8.

MrRa [10]

Answer:

if you want answer that question go to qanda

4 0

3 years ago

A probability/impact matrix or chart lists the relative probability of a risk occurring on one side of a matrix or axis on a cha

True [87]

Answer:

True

Step-by-step explanation:

A probability-impact risk matrix is a two-dimensional graphic representation of the risks in an organization or an entity; it could be from an individual to an entire planet.

The probability of an event is plotted (on one column) against the potential negative impact of that event (on another column)

4 0

4 years ago

2x + 3y = 5x -y .......

Oliga [24]

FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

3 0

4 years ago