Ask question

Ask question

All categories

4 years ago

8

Give the function f(x) = 3 ^ x - 4x determine the average rate of change from x = 1 x = 2

1 answer:

yuradex [85]4 years ago

6 0

Answer:

2

Step-by-step explanation:

Given the average rate of change formula, we must first find the x and y values of the function.

We are provided with the two x values, 1 and 2. We now need to find the output, or y.

ƒ(x)=3^x-4x

ƒ(1)=3-4=-1

ƒ(2)=9-8=1

Then, we use the formula (ƒ(2)-ƒ(1))/x2-x1(subscripts here, in case you multiplied) which gets us 2/1, or 2. Therefore, the average rate of change(ARC) is 2. I believe you just need to find the output and subtract if they are exactly one whole number apart, but don't quote me on that.

You might be interested in

(3+5^2)(5-4^2) how to simplify?

sveta [45]

Answer:

-308

Step-by-step explanation:

$(3+5^2)(5-4^2)$

$28(5-4^2)$

$28(-11)\\$

$-308$

Hope that helped!

3 0

3 years ago

Use the number line below, where RS equals 3 y plus 2 , ST equals 2 y plus 7 , and RT equals 10 y minus 11 .

docker41 [41]

3y + 2 + 2y + 7 = 10y - 11
5y + 9 = 10y - 11
20 = 5y
4 = y

RS = 14
ST = 15
RT = 29

4 0

4 years ago

Read 2 more answers

Jerry goes to a theme park to ride roller coasters. The theme park chargers an entry fee in addition to a fee for each roller co

Misha Larkins [42]

You need to add the table. Try taking a picture and attaching it to the question

3 0

4 years ago

Write a rule for a function with a parabolic graph that contains the x-intercepts (-20,0) and (40,0) and a maximum point whose y

lakkis [162]

Step-by-step explanation:

Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.

Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.

=> (0) = a[(40) - 10]² + 30

=> 900a + 30 = 0, a = -1/30.

Hence the rule is y = -(x - 10)²/30 + 30.

7 0

3 years ago

What are the solutions of the equation (x+2)^2-2(x+2)-15=0

Nina [5.8K]

Answer:

The solutions to this are x = -5, and x = 3.

Step-by-step explanation:

This can be solved by rearranging the equation into a proper quadratic format, and factoring it:

$(x + 2)^2 - 2 (x + 2) - 15 = 0\\x^2 + 4x + 4 - 2x - 4 - 15 = 0\\x^2 + 2x - 15 = 0\\(x + 5)(x - 3) = 0$

This tells us that the x can be equal to -5 or 3.

8 0

3 years ago