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3 years ago

What is the average rate of change for this function for the interval x=2 to x=4?

Mathematics

1 answer:

andrezito [222]3 years ago

6 0

Answer:

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 2, 4 ]

f(b) = f)4) = 32 ← from table

f(a) = f(2) = 8 ← from table

Then average rate of change is

$\frac{32-8}{4-2}$ = $\frac{24}{2}$ = 12

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Jamar's teacher told him that one of the reasons he gave on the proof below was incorrect. Which reason did he make the mistake

Kamila [148]

Answer:

Reason given in step 2. is incorrect. It should read; "Distributive Property."

Step-by-step explanation:

The reason given to go from :

2 (3x +4) = 56 to 6x + 8 = 56

is NOT "Multiplication Property of Equality" because one is not multiplying both sides of the equality by a number. The property that is being used is the Distributive Property on the left side of the equation in order to remove the grouping symbols (parenthesis) performing the implied multiplication of the external factor times each term of the binomial in parenthesis.

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3 years ago

-2(bx - 5) = 16 What’s does b and x equal?

horrorfan [7]

To solve this problem you must apply the proccedure shown below:
You have the following equation given in the problem above:
-2(bx - 5) = 16
 When you solve for bx, you have:
-2(bx - 5) = 16
-2bx-10=16
-2bx=26
bx=26/-2
bx=-13

When you solve for b, you obtain:
-2(bx - 5) = 16
-2bx=26
b=-(26/2x)

When yoo solve for x:
2bx=26
x=-(26/2b)

3 0

3 years ago

Find a polynomial function of degree 3 with 2, i, -i as zeros.

sergiy2304 [10]

Answer:

$p(x)= x^3-2x^2+x-2$

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if $\alpha , \ \beta \ \& \ \gamma$ are the zeros of the cubic polynomial , then ,

$\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)$

Here in place of the Greek letters , substitute 2,i and -i , we get ,

$\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)$

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

$\sf \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}$

Simplify using i = √-1 ,

$\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )$

Multiply by distribution ,

$\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)$

Simplify by opening the brackets ,

$\sf\longrightarrow p(x)= x^3+x-2x^2-2$

Rearrange ,

$\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}$

4 0

2 years ago

What value of k makes the statement true? k + (–4.1) = –9.7

Ugo [173]

K + (-4.1) is the exact same as saying k- 4.1, so what you have to do now is put the -4.1 in the opposite side, but with opposite sign too (+)
so k= -9.7 + 4.1
so in order to answer it you have to deduct the number with the lowest value taking in count both as positive and the sign will be the one from the highest value taking both as positive
9.7
-4.1
____
5.6
so 9.7 had a negative sign so the answer to your question is
k = -5.6
i hope i helped you

8 0

3 years ago

A _____ number can be written as a ratio of two integers in the form A/B where B ≠ 0.

Rina8888 [55]

Looks like the very definition for a rational number

4 0

3 years ago