A function, f(x), represents the distance a car travels over time. The line tangent to the function at x=1 is y=0.6x+0.9. The line tangent to the function at x=4 is y=2.1x-3.2. The line tangent to the function at x=6 is y=4.6x-16.3.

A Function, F(x), Represents The Distance A Car Travels Over Time. The Line Tangent To The Function At

Answers

Answer 1

9514 1404 393

Answer:

  0.6

Step-by-step explanation:

The instantaneous rate of change at any point on a curve is the slope of the tangent line at that point.

At x=1, the tangent line is given as ...

  y = 0.6x +0.9

The slope of that line is the coefficient of x, 0.6.

The instantaneous rate of change of f(x) at x=1 is 0.6.


Related Questions

There are
20
%
20%20, percent more goblins than wizards in magic club. There are
120
120120 goblins in magic club.
How many wizards are in the magic club?

Answers

Answer:

100 wizards in magic club

Step-by-step explanation:

20% of 120 is 20 so

120-20=100

11. Use the Distributive Property to solve the equation below. Use pencil and paper. Explain why the Distributive Property makes it possible to solve this equation. 37 - (2c + 3) = 4(c + 5) + C ​

Answers

Answer: C equals 2.

Step-by-step explanation:

37 + (-2c - 3) = 4c + 20 +c (distribute)

34 - 2c = 5c +20 (combine like terms)

14 = 7c (divide)

c = 2

25 points if u get it right im in 7th grade so its easy for some ppl

The original price of a chair was $545.00. The store had a sales tax of 4.5%. What is the exact price of the chair, including tax?

Answers

Answer:

569.525 so actually $569.53 probably

Step-by-step explanation:

545*0.045=24.525

24.525+545

Write an expression for Jameson had 2 cookies and Jared gave him some more

Answers

Answer:

x+2

Step-by-step explanation:

Use any letter for a variable. X is the most common.

let's say x is Jameson. To show he got 5 more, add x by 5

x+5

Hope this helps

Answer:

2+n=?

Step-by-step explanation:

Because we do not know the amount Jared gave him and we do not know the total amount either.

simplify [tex](3x2y3)3( x3)[/tex]

Answers

The answer is D
The answer is D
The answer is D

the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A

To simplify the expression (3x²y³/z³)³, we need to apply the power of a power rule. In this rule, we raise each term inside the parentheses to the power outside the parentheses.

So, let's simplify step by step:

(3x²y³/z³)³ = 3³ * (x²)³ * (y³)³ / (z³)³

Simplifying further:

3³ = 27

(x²)³ = x²⁽³⁾ = x⁶

(y³)³ = y³⁽³⁾ = y⁹

(z³)³ = z³⁽³⁾ = z⁹

Combining all the simplified terms, we have:

27 * x⁶ * y⁹ / z⁹

Therefore, the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A. This expression represents the original expression after raising each term inside the parentheses to the power of 3 and combining them into a single term.

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Is -3•-15 positive or negative

Answers

Answer:

positive

Step-by-step explanation:

A negative times a negative is a positive

X2+3x-4 please do this question ASAP

Answers

Answer: x2+3x−4

Step-by-step explanation: there is no like terms

Answer:

5x-4: x2+3x-4

2x+3x-4

5x-4

Brainleist!!!!!!

!!!!!!!!!!!!!!!!!

Answers

The answer would be function!

Answer:

function

Step-by-step explanation:

i have a hunch that is function i need one more brainleist pls

If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
35
7
42
6
None of the other answers are correct

Answers

Answer:

Step-by-step explanation:

U right it’s not any of them and if u single I’m here

Answer:

B.

Step-by-step explanation:

AD, the entire segment, is composed of the three segments AB, BC, and CD. In other words:

[tex]AD=AB+BC+CD[/tex]

Since AB=CD, we can substitute:

[tex]AD=CD+BC+CD\\ AD=2CD+BC[/tex]

We know that CD is 9 and BC is 5x. AD is 53. So, substitute:

[tex]53=2(9)+5x[/tex]

Solve for x:

[tex]\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}[/tex]

The value of x is 7.

Hence, our answer is B.

-10x + 6 = -74 first to get is right gets 10 points

Answers

Answer:

x = 8

Step-by-step explanation:

-10x+6=-74

-10x=-74-6

-10x=-80

x=-80/-10

x=8

Answer:

The answer is x=8

Step-by-step explanation:

If you need me to explain let me know

help me please its due 11:45

Answers

-9.5 is greater than -11.5

< is the correct answer

help due today hurry up

Answers

Answer:

What is the question?

Step-by-step explanation:

I'll see if I ca help

Answer:

yeha i would be happy to help but wheres the qoution i will wdit my answer and give you answer of your quotion

A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?

• $1.26

• $5.40

• $19.26

• $30.60​

Answers

Answer:

• $19.26

Step-by-step explanation:

Answer:

19.26

Step-by-step explanation:

Explanation

7% = 7/100 = 0.07

1 in formula before represents the 18 dollars.

Formula

18*(1 +  7/100)

18 (1 + 0.07)

18(1.07)

19.26

She will have to pay 19.26 dollars.

which scatter plot shows a nonlinear association for the data

Answers

Graph 1 shown in the figure 1 is the scatter plot that shows a nonlinear association for the data.

Non-linear scatter plot

When the relationship of the scatter plot does not resemble a straight line then that scatter plot is called a Non-linear scatter plot.

How to find the Non-linear scatter plot.

In figure 1, the scatter plot of graph 2, graph 3 and graph 4 can resemble a straight line but the graph 1 does not resemble a straight line.

As the slope of that graph also changes.

So, graph 1 is the scatter plot that shows a nonlinear association for the data.

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Find the slope of the line through points
(-8,2) and (1,3).
Write your answer in simplest form.

Answers

Answer:

The answer is

[tex] \huge \frac{1}{9} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{3 - 2}{1 - - 8} = \frac{1}{1 + 8} = \frac{1}{9} \\ [/tex]

We have the final answer as

[tex] \frac{1}{9} \\ [/tex]

Hope this helps you

What is the x-intercept of the graph of - x = 5?

Answers

Answer:

x=-5

Step-by-step explanation:

The x-intercept is x=-5

Answer:-5

Step-by-step explanation:If you draw out the graph, it would be a vertical line at the point -5. Since you are asking for the x intercept, it would be -5

please help asap question three

Answers

Answer:

(-6,-6) I think that A is correct

Solve. If there is more than one solution, separate them with a comma.

6+7 |−6x−3| =62

Answers

Answer:

[tex]-\frac{11}{6} , \frac{5}{6}[/tex]

The equation has two solutions.

Mr. Samson deposited some money into his checking account. Then after spending $33, the balance in his account was $67. How much was the deposit?

Answers

Answer:

He deposited $100

Step-by-step explanation:

67 + 33 = 100

Hope this helps! Please mark brainliest!

A _____ has two pairs of parallel sides.
1)Kite
2)Rhombus
3)Trapezoid

Answers

Answer:

3) Trapezoid

It has 4 sides and 2 of the sides are parallel

Answer:

A rhombus

Step-by-step explanation:

The definition of parallel lines is two or more lines that never intersect, are on the same plane, and are the same distance apart no matter what point you measure from.  The sides of a rhombus are parallel and the top and bottom of the shape are parallel to each other.

Please help
Picture inserted
Multiple choice
Will appreciate it if u help!

Answers

It is linear because it has a pattern, going up 60 second hand revolutions for each hour
I think linear hope this helps

Jacob purchased a t-shirt with a price tag of $20.00. After tax he paid $21.60. What was the amount of the sales
tax in dollars?

Answers

Answer:

1.60

Step-by-step explanation:

21.60-20.00= 1.60

party monkey charges $75 for set up and $8 per person. birthday central charges $50 for set-up and $11 per person. for how many guests will party monkey be less than birthday central.

Answers

Answer:

9 or more

Step-by-step explanation:

A sample of 12001200 computer chips revealed that 53S% of the chips do not fail in the first 10001000 hours of their use. The company's promotional literature claimed that more than 50P% do not fail in the first 10001000 hours of their use. Is there sufficient evidence at the 0.100.10 level to support the company's claim

Answers

Complete Question

A sample of 1200 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.10 level to support the company's claim

Answer:

The decision rule is  

    Reject the null hypothesis

The  conclusion is  

   There is sufficient evidence to conclude that  the company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use is correct

Step-by-step explanation:

From the question we told that

   The sample size is  n =  1200

   The significance level is  [tex]\alpha = 0.100[/tex]

   The sample proportion is  [tex]\^ p = 0.53[/tex]

    The null hypothesis  [tex]H_o : p = 0.50[/tex]

     The alternative hypothesis is  [tex]Ha : p > 0.50[/tex]

Generally the test statistics is mathematically represented as

        [tex]z = \frac{\^ p - p }{ \sqrt{\frac{p(1 - p )}{n} } }[/tex]

=>      [tex]z = \frac{ 0.53 - 0.5 }{ \sqrt{\frac{0.50 (1 - 0.50)}{1200} } }[/tex]  

=>      [tex]z = 2.078[/tex]

From the z table  the area under the normal curve to the right corresponding to  2.078  is  

      [tex]P(Z > 2.078 ) = 0.018855[/tex]

So

     [tex]p-value = 0.018855[/tex]

Generally the value obtained we see that  [tex]p-value < \alpha[/tex]  , Hence  

The decision rule is  

    Reject the null hypothesis

The  conclusion is  

   There is sufficient evidence to conclude that  the company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use is correct

     

         

In the diagram below, \overline{OH} OH start overline, O, H, end overline is parallel to \overline{ID} ID start overline, I, D, end overline. Find the length of \overline{HD} HD start overline, H, D, end overline.

Answers

Answer:

HP=11

Step-by-step explanation:

Now that we have \blueE{HP}HPstart color #0c7f99, H, P, end color #0c7f99, we can find HDHDH, D.

\begin{aligned} HD&=\blueE{HP}+DP \\\\ &=\blueE{2}+9 \\\\ &=11 \end{aligned}

HD

 

=HP+DP

=2+9

=11

Using the AAA similarity theorem, the length of segment HD in the diagram given is: 11 units.

What is the AAA Similarity Theorem?

If all corresponding angles of two  triangles are congruent, then, they are similar triangles, based on the AAA similarity theorem.

ΔPOH ~ ΔPID by AAA similarity theorem.

Therefore, their corresponding sides would be proportional. Thus:

PH/PD = PO/PI

Substitute

PH/9 = 6/27

PH = (9 × 6)/27

PH = 2

HD = 2 + 9

HD = 11 units.

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What is the solution of the system of equations? y – 2x = –6 y – 4x = 0
A. (–3, –12)
B. (–3, 12)
C. (3, –12)
D. (3, 12)

Answers

Answer:

The solution of the system of equations will be:

[tex]y=-12,\:x=-3[/tex]

Step-by-step explanation:

Given the system of equations:

[tex]\begin{bmatrix}y-2x=-6\\ y-4x=0\end{bmatrix}[/tex]

Isolate [tex]y[/tex] for [tex]y-2x=-6[/tex], [tex]y=-6+2x[/tex]

[tex]\mathrm{Subsititute\:}y=-6+2x[/tex]

[tex]\begin{bmatrix}-6+2x-4x=0\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-6-2x=0\end{bmatrix}[/tex]

Isolate x for [tex]-6-2x=0[/tex], [tex]x=-3[/tex]

[tex]\mathrm{For\:}y=-6+2x[/tex]

[tex]\mathrm{Subsititute\:}x=-3[/tex]

[tex]y=-6+2\left(-3\right)[/tex]

[tex]y=-12[/tex]

Therefore, the solution of the system of equations will be:

[tex]y=-12,\:x=-3[/tex]

bithssbsjjsjsnsisjslala

Answers

thanks for free points

What is the whole number quotient and reminder for 32÷6

Answers

Answer: whole number is 5 and remainder is 2

Step-by-step explanation:

six goes into 32 5 times to get 30

32-30=2

With these points, you'll definitely want to answer...BUT ANSWER CORRECTLY OR TO THE BEST OF YOUR KNOWLEDGE

Answers

With these points, you'll definitely want to answer...BUT ANSWER CORRECTLY OR TO THE BEST OF YOUR KNOWLEDGE

A population proportion is 0.61. Suppose a random sample of 658 items is sampled randomly from this population

a. What is the probability that the sample proportion is greater than 0.63?

b. What is the probability that the sample proportion is between 0.60 and 0.66?

c. What is the probability that the sample proportion is greater than 0.592

d. What is the probability that the sample proportion is between 0.57 and 0.60?

e. What is the probability that the sample proportion is less than 0.51?

Answers

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

[tex]\mu_{\hat p}=p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

A random sample of n = 658 items is sampled randomly from this population.

As the sample size is large, i.e. n = 658 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample proportion by a Normal distribution.

Compute the mean and standard deviation as follows:

[tex]\mu_{\hat p}=0.61\\\\\sigma_{\hat p}=\sqrt{\frac{0.61(1-0.61)}{658}}=0.019[/tex]

(a)

Compute the probability that the sample proportion is greater than 0.63 as follows:

[tex]P(\hat p>0.63)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.63-0.61}{0.019})\\\\=P(Z>1.05)\\\\=1-P(Z<1.05)\\\\=1-0.85314\\\\=0.14686\\\\\approx 0.1469[/tex]

(b)

Compute the probability that the sample proportion is between 0.60 and 0.66 as follows:

[tex]P(0.60<\hat p<0.66)=P(\frac{0.60-0.61}{0.019}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.66-0.61}{0.019})\\\\=P(-0.53<Z<2.63)\\\\=P(Z<2.63)-P(Z<-0.53)\\\\=0.99573-0.29806\\\\=0.69767\\\\\approx 0.6977[/tex]

(c)

Compute the probability that the sample proportion is greater than 0.592 as follows:

[tex]P(\hat p>0.592)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.592-0.61}{0.019})\\\\=P(Z>-0.95)\\\\=P(Z<0.95)\\\\=0.82894\\\\\approx 0.8289[/tex]

(d)

Compute the probability that the sample proportion is between 0.57 and 0.60 as follows:

[tex]P(0.57<\hat p<0.60)=P(\frac{0.57-0.61}{0.019}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.60-0.61}{0.019})\\\\=P(-2.11<Z<-0.53)\\\\=P(Z<-0.53)-P(Z<-2.11)\\\\=0.29806-0.01743\\\\=0.28063\\\\\approx 0.2806[/tex]

(e)

Compute the probability that the sample proportion is less than 0.51 as follows:

[tex]P(\hat p<0.51)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.51-0.61}{0.019})\\\\=P(Z<-5.26)\\\\=0[/tex]

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