Please answers this

Fill in the table using this function rule. y = 5x=+1

icang [17]

Answer:

x = 1; y = 6

x = 5; y = 26

x = 8; y = 41

x = 10; y = 51

Step-by-step explanation:

Just substitute the x values

4 0

2 years ago

HELP, PLEASE <br><br>Will mark Brainliest for the correct answer. There are two questions.

notka56 [123]

Answer: if you think about b it sounds wrong so the answer is probably A

Step-by-step explanation: you said it wasn’t C or D so between A and B , A makes more sense

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cint%20t%5E2%2B1%20%5C%20dt" id="TexFormula1" title="\frac{d}{dx} \

Kisachek [45]

Answer:

$\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2$

Step-by-step explanation:

$\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} = \ ?$

We can use Part I of the Fundamental Theorem of Calculus:

$\displaystyle\frac{d}{dx} \int\limits^x_a \text{f(t) dt = f(x)}$

Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.

The Additivity Rule for Integrals states that:

$\displaystyle\int\limits^b_a \text{f(t) dt} + \int\limits^c_b \text{f(t) dt} = \int\limits^c_a \text{f(t) dt}$

We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.

$\displaystyle \frac{d}{dx} \int\limits^0_{2x} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}$

We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.

The Order of Integration Rule states that:

$\displaystyle\int\limits^b_a \text{f(t) dt}\ = -\int\limits^a_b \text{f(t) dt}$

We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.

$\displaystyle \frac{d}{dx} -\int\limits^{2x}_{0} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}$

Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.

When taking the derivative of an integral, we can follow this notation:

$\displaystyle \frac{d}{dx} \int\limits^u_a \text{f(t) dt} = \text{f(u)} \cdot \frac{d}{dx} [u]$
where u represents any function other than a variable

For the first term, replace $\text{t}$ with $2x$ , and apply the chain rule to the function. Do the same for the second term; replace

$\displaystyle-[(2x)^2+1] \cdot (2) \ + \ [(x^2)^2 + 1] \cdot (2x)$

Simplify the expression by distributing $2$ and $2x$ inside their respective parentheses.

$[-(8x^2 +2)] + (2x^5 + 2x)$
$-8x^2 -2 + 2x^5 + 2x$

Rearrange the terms to be in order from the highest degree to the lowest degree.

$\displaystyle2x^5-8x^2+2x-2$

This is the derivative of the given integral, and thus the solution to the problem.

6 0

3 years ago

Factor the polynomial x^2+7x+10. Your answer can written as (x+A) (x+B)

amm1812

(x+5)(x+2) is your answer

7 0

3 years ago

An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some emplo

Soloha48 [4]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were:

Sample Programmed Instructions Lecture TV Group Discussions

1 6 8 7 8

2 7 5 9 5

3 6 8 6 6

4 5 6 8 6

5 6 8 5 5

At the 0.01 level, what is the critical value?

a. 5.29

b. 1.00

c. 3.24

d. 1.96

Answer:

The correct option is (a)

The critical value is 5.29

Step-by-step explanation:

To obtain the critical value, we need to perform a satistical test on the given data.

Since we are given data for four independent teaching methods to determine the most most effective way to teach safety principles, therefore, a one-way analysis of variance (ANOVA) may be used to get the critical value.

ANOVA:

The one-way analysis of variance (ANOVA) may be used to find out whether there is any significant difference between the means of two or more independent categories of data.

ANOVA in Excel:

Step 1:

In the data tab, select data analysis

Step 2:

Select "Anova single factor" from the analysis tools

Step 3:

Select the destination of input data in the "input range"

Step 4:

Select "columns" for the option "Group By"

Step 5:

Tick the option "labels in first row"

Step 6:

Set alpha = 0.01

Step 7:

Select the destination of output data in the "output options"

Output results:

Please refer to the attached results

As you can see in the output results, the critical value is 5.2922

Therefore, the correct option is (a)

8 0

3 years ago

Please answers this​

Please answers this