Answer:
x = 13
Step-by-step explanation:
Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.
Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.
f ′ (x) = d (4.5 x 2 − 3 x + 2)
______
d x
Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3
To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}
Therefore, the tangent line to f(x) is horizontal at the point x = 13
Hope this helps, have a nice day/night! :D
20% tip on a bill of $22.41
Answer:
5 people - Tip per person = $0.90
Total per person = $5.39
10 people - Tip per person = Tip per person $0.45
Total per person = $2.70
Answer: the answer is $4.49 because if your bill is 22.41 and you divide that by 20 its 4.482 so then you add the 2 to the 8 which is 9 so 4.49
A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?
Answer:
3x-8
Step-by-step explanation:
math
Answer:
y=3x-8
Step-by-step explanation:
The slope of this is the rise over the run. Using the points, we can do (10-4)/(6-4) to get the slope. After solving this, we get 3 as the slope! Slope intercept form is in y=mx+b where m is the slope and b is the y-intercept.
So, y=3x+b
We can insert any of those coordinates into this equation and solve for b to get the y-intercept. If we insert (4,4), then we get 4=3(4)+b
: 4=12+b
:-8=b
Now that we have -8 as the y-intercept, we can insert that as b to get y=3x-8 as the equation in slope intercept form.
Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip.
Answer:
The answer is 2.70
Step-by-step explanation:
18+2.70= 20.70
20.70-2.70=18
Differentiate y = csc(x)cot(x).
Answer:
[tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringFunctions
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle y = \csc (x) \cot (x)[/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle y' = \frac{d}{dx}[\csc (x)] \cot (x) + \csc (x) \frac{d}{dx}[\cot (x)][/tex]Trigonometric Differentiation: [tex]\displaystyle y' = - \csc (x) \cot (x) \cot (x) + \csc (x) \big[ - \csc ^2 (x) \big][/tex]Simplify: [tex]\displaystyle y' = - \csc (x) \cot^2 (x) - \csc^3 (x)[/tex]Factor: [tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Geometry- what is O? show work/explain please.
Answer:
Step-by-step explanation:
need help with homework please help asp
Answer:
The answer for this particular question is (5,-8)
Solve the equation for x.
x-17=-5
Answer: 12
Explanation:
add 17 to both sides
x = -5 + 17 = 12
Answer:
x = 12
Step-by-step explanation:
x - 17 = -5
x = -5 + 17
x = 12
Can I get steps to solve this?
Answer:
8 and 1/2 pints
Step-by-step explanation:
4.25 cups/ 1 × 2 pints/ 1 cups
= 4.25 × 2 pints
= 8.5 pints
8 and 1/2 pints
is this true or false |-2.9|> 2.6
Hello! :)
I will start by explaining what the l l notation means.
It means "absolute value" or a number's distance from zero.
Absolute value is always positive. Remember this:
lal=a
l-al=a
Now, using this, let's solve our math problem.
l-2.9l>2.6
2.9>2.6
Is this statement true? Is 2.9 greater than 2.6? Yes, it is. Therefore, the statement is true.
Hope it helps.
Feel free to ask me if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
Answer:
True
Step-by-step explanation:
The absolute value of -2.9 is 2.9.
So 2.9>2.6
Remember, the absolute value of a number is always nonnegative (positive or zero). If a number is negative, negating that number will make it positive.
physics book is moved once around the perimeter of a table of dimensions 2.0 m by 0.5 m.
(a) If the book ends up at its initial position, what is its displacement?
(b) What is the distance traveled?
Step-by-step explanation:
(a) 0. no displacement.
(b) rectangle perimeter :
2×length + 2×width = 2×2 + 2×0.5 = 4 + 1 = 5 m
I need the answer to this. Thank You so much!!!
Answer:
o=6
1=18
2=54
3=162
Step-by-step explanation:
[tex]f(x) = 6(3)^{x} [/tex]
[tex]f(x)=6(3)^{0}=6 \\ f(x)=6(3)^{1}= 18 \\ f(x)=6(3)^{2}=54 \\ f(x)= 6(3)^{3}=162[/tex]
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21. 8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21. 8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13. 8 cm2 17. 3 cm2 32. 7 cm2 69. 0 cm2.
Answer:
Step-by-step explanation:
Brainly.com
Question
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21.8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13.8 cm2 17.3 cm2 32.7 cm2 69.0 cm2
Answer · 10 votes
Answer:32.7cmStep-by-step explanation:just took the
What is the slope of a line that passes through the points (4, - 3) and (- 2, 9)
Answer:
-2
Step-by-step explanation:
slope = y2 - y1 / x2 - x1
= 9 - (-3) / -2 -4
= 12 / -6
= -2
Solve 2x^2 + 5x – 3 = 0
Answer:
Step-by-step explanation:
Solving Systems of Three equations
(please help i will make you brainliest!!!)
Answer:
2) x = -4; y = 0; z = -2
4) x = 4; y = 2; z = 0
Step-by-step explanation:
2)
-4x - 5y - z = 18
-2x - 5y - 2z = 12
-2x + 5y + 2z = 4
Add the 2nd and 3rd equations to eliminate y and z.
-4x = 16
x = -4
Substitute x = -4 in first and second equations.
(-4)(-4) - 5y - z = 18
(-2)(-4) - 5y - 2z = 12
-5y - z = 2
-5y - 2z = 4
Multiply first equation by -1 and add to second equation.
5y + z = -2
(+) -5y - 2z = 4
----------------------
-z = 2
z = -2
Substitute x = -4 and z = -2 in first original equation and solve for y.
-4(-4) - 5y - (-2) = 18
16 - 5y + 2 = 18
-5y = 0
y = 0
Answer: x = -4; y = 0; z = -2
4)
4x + 4y + z = 24
2x - 4y + z = 0
5x - 4y - 5z = 12
Add equations 1 and 3 to eliminate y.
9x - 4z = 36 Eq. 1
Add equations 1 and 2 to eliminate y.
6x + 2z = 24 Eq. 2
Multiply Eq. 2 by 2 and add to Eq. 1.
12x + 4z = 48
(+) 9x - 4z = 36
----------------------------
21x = 84
x = 4
Substitute x = 4 into Eq. 1 to solve for z.
9x - 4z = 36
9(4) - 4z = 36
-4z = 0
z = 0
Substitute x = 4 and z = 0 into the first original equation to solve for y.
4x + 4y + z = 24
4(4) + 4y + 0 = 24
4y = 8
y = 2
Answer: x = 4; y = 2; z = 0
Which coordinate pair is outside the circle and inside the rectangle as shown below? 10 9 8 o in N 6 5 2 0 1 2 3 4 5 6 7 8 9 10 O (5,3) O (6,3) O (6,6) O (5,5)
Find the slope of the table.
Answer:
Slope= -4
Step-by-step explanation:
Slope is rise over run (y over x)
So, looking at the table, you can see that every time the y values went down by 8, the x values went up by 2.
So, the slope can be written as:
-8/2
Simplified to -4/1 or just -4
helpppppp plzzzzzz is fue today
Answer:
a) 3
Step-by-step explanation:
that's the correct answer
If the confidence interval and hypothesis test both used the same data, how did they come up with different standard errors
Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques
Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
What is confidence interval?
Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.
We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.
Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
To learn more about Confidence intervals and hypothesis tests click :
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A college professor wants to survey a sample of students taking his course. Here are some details about his course:He teaches555 sections of the course.There are250250250 total students across those sections.There are505050 graduate students and200200200 undergraduate students taking the course.Each section has about505050 students (some graduate and some undergraduate).The professor wants to take a sample of303030 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account.
Answer:
d
took the test
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
khan academy
Find the sum of the first 15 terms of the AP:11,5,-1,-7
Here is ur answer
- BRAINLIEST ANSWERER
Given that (x-1) is a factor of p(x)=x^3+2x^2-x-2,factorize p(x) completely
Answer:
Step-by-step explanation:
Pg 118 #11 - 13, 15, 16
We can't get the answer if there's no problem?
Is the point (3,2) a solution of the equation?
Step-by-step explanation:
no cause 3/2 can't be changed
What is the solution set of the equation 6x^2 - 18x - 18 =6?
Answer:
The solution set is {4, -1}
Step-by-step explanation:
6x²- 18x -18 = 6
6x²- 18x -18 - 6 = 0
6x²- 18x -24 = 0
6(x² - 3x - 4) = 0
6(x - 4)(x + 1) = 0
6 = 0 not true
x - 4 = 0 ; x + 1 = 0
x = 4 x = - 1
The solution set is {4, -1}
Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?
Can someone figure this out for me plsss
Answer:
Step 2 you should subtract 5 (aka D)
Step-by-step explanation:
Simple, its 2+ step equations.
Step 1 Look at the problem
Step 2 Subtract the second normal number by the rest (5- -12 and 19)
Step 3 answer
Last week, Pauline worked 35 hours and made $280. The boss at Pauline’s company makes $600 a week. How many hours would Pauline need to work to make $600?
Pauline needs to work for 75 hours to make $600
Given that Pauline worked 35 hours and made $280, this can be written as:
35 hours = $280
If Pauline’s company makes $600 a week, this can be expressed as:
x = $600
35/x = 280/600
35/x = 28/60
28x = 35 * 60
28x = 2100
x = 2100/28
x = 75
This means that Pauline needs to work for 75 hours to make $600
Learn more here: https://brainly.com/question/3796978
Answer:
Step-by-step explanation:
The base of a triangle is 13 cm rounded to the nearest integer.
The perpendicular height of the triangle is 4.7 cm rounded to 1 dp.
Write the error interval for the area, a, of the triangle in the form m ≤ a < n.
Answer:
30.55 <_ a < 30.55
Step-by-step explanation:
a = 1/2 × b × h
a = 1/2 × 13 × 4.7
a = 30.55 cm^2
30.55 <_ a < 30.55
Can some one help me
Answer:
16.95
Step-by-step explanation:
because when you add 14.95 and 2 together you get 16.95
Answer:
Step-by-step explanation:
Area of Big circle = πr² = 3.14 * 6.5*6.5 = 132.67 cm²
Area of small circle = 3.14 * 2.3*2.3 = 16.61 cm²
Area of shaded region = area of big circle - area of small circle
= 132.67 - 16.61 = 116.06 cm²