Answers
Answer:
x = 2, x = 8
Step-by-step explanation:
reminder that f'(x) = [tex]m_{tangent}[/tex]
Differentiate f(x) term by term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
f(x) = [tex]\frac{1}{3}[/tex] x³ - 5x² + 2x + 10
f'(x) = x² - 10x + 2
Equating f'(x) to - 14
x² - 10x + 2 = - 14 ( add 14 to both sides )
x² - 10x + 16 = 0 ← in standard form
(x - 2)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 8 = 0 ⇒ x = 8
Related Questions
27/125 in simplest form
Answers
[tex] \frac{27}{125} [/tex]
It is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).
Answer:
27 /125
is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 27 and 125 is 1
Divide both the numerator and denominator by the GCD
27 ÷ 1 /125 ÷ 1
Reduced fraction:
27 /125
Therefore, 27/125 simplified to lowest terms is 27/125.
True or Fasle
1.A different of two square has a middle term.
2.The binomial x² + 4 is equal to (x + 2) (x + 2).
3. The complete factored form of x⁴ - 16 is (x² + 4) (x² - 4)
4. When x + 3 is multiplied by x - 3, the product is a perfect square trinomial.
Answers
1. True.
2. False. x² + 4 = (x+2)(x-2)
3. True.
4. False. It gives (x²-9) which is a binomial.
Feel free to mark this as brainliest! :D
11 + 4n - 2n + 12 HELPPPPPPPPPPPPPPP
Answers
Answer:
2n + 23
Step-by-step explanation:
11 + 4n - 2n + 12
Rearrange terms:
4n - 2n + 12 + 11
Combine like terms:
2n + 23
A production process produces electronic component parts. It is presumed that the probability of a defective part is 0.01. During a test of this presumption, 500 parts are sampled randomly and 15 defectives are observed. (a) What is your response to the presumption that the process is 1% defective
Answers
Testing the hypothesis, we have that since the p-value of the test is 0 < 1, our response is that the presumption underestimates the proportion of defective parts.
At the null hypothesis, we test if the proportion of defectives is of at most 1%, that is:
[tex]H_0: p \leq 0.01[/tex]
At the alternative hypothesis, we test if the proportion of defectives is of more than 1%, that is:
[tex]H_1: p > 0.01[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
From the sample, we have that:
[tex]n = 500, \overline{p} = \frac{15}{500} = 0.03[/tex]
Thus, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.03 - 0.01}{\sqrt{\frac{0.01(0.99)}{500}}}[/tex]
[tex]z = 4.49[/tex]
The p-value of the test is the probability of finding a sample proportion above 3%, which is 1 subtracted by the p-value of z = 4.49.
z = 4.49 has a p-value of 1.
1 - 1 = 0.
The p-value of the test is 0 < 1, which means that our response is that the presumption underestimates the proportion of defective parts.
A similar problem is given at https://brainly.com/question/24912812
Csc(6x)-cot(6x)/csc(6x)+cot(6x)
Answers
The value of the expression Csc(6x)-cot(6x)/csc(6x)+cot(6x) is tan²3x.
What is a Trigonometric Ratios?Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.
[tex]\rm =\dfrac {cosine(6x)-cot(6x)}{cosine(6x)+cot(6x)}\\\\\\\ = \dfrac{ \dfrac{1}{sin6x} - \dfrac{cos6x}{sin6x}}{ \dfrac{1}{sin6x} + \dfrac{cos6x}{sin6x}}\\\\\\ = \dfrac{ 1-cos 6x}{1+cos6x}[/tex]
( 1- cosx = 2sin²x/2) ( 1+cosx = 2cos²x/2)
[tex]\rm = \dfrac{ 2 sin^2 3x}{2 cos^2 3x}\\\\\\\\=tan^2 3x[/tex]
To know more about Trigonometric Ratios
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I need to find 15/4 + (-4 1/3)
Answers
Answer:
Step-by-step explanation:
11
quadratic graphs
y=x squared - 4x
Answers
This is one way of doing it.
We want to get the function into vertex form.
y = x2 - 4x + 2 Subtract 2 from both sides.
y - 2 = x2 - 4x Add (-4/2)2 , or 4, to both sides.
y - 2 + 4 = x2 - 4x + 4 Now that the right hand side is a perfect square trinomial, factor it.
y + 2 = (x - 2)(x - 2)
y + 2 = (x - 2)2 Subtract 2 from both sides.
y = (x - 2)2 - 2
When the equation is in this form, we can see that this is the graph of y = x2 shifted to the right 2 units and shifted down 2 units. The vertex is at (2, -2). So plot the first point at (2, -2) and go up just like a basic parabola from there. :)
What is the square root of 80?
Answers
Answer:
√80 = 4√5
80²=1600
Step-by-step explanation:
80 | 2
40 | 2
20 | 2
10 | 2
5 | 5
√80= 2⁴ × 5
80= 2² × 5
80 = 4√5.
(a) Write the point–slope form of a function that has a slope of 3- 5 and passes through the point (6,1). (b) Algebraically manipulate your answer in part a to produce the slope– intercept form of the function that has a slope of 3 - 5 and passes through the point (6,1).
Answers
Answer:
sloped answer
Step-by-step explanation:
(6,1) guessed soon, look other too
who ever can answer me this can git points and a branliest but answer it rite
Answers
Answer:
2/3
Step-by-step explanation:
3-7
-----
-6-0
= -4/-6
=2/3
Answer:
- 2/3Step-by-step explanation:
Use the slope formula:
[tex]m=(y_2-y_1)/(x_2-x_1)[/tex][tex]m=(3-7)/(0-(-6))=-4/6=-2/3[/tex]I need help with thissssss
Answers
Answer:
Loading,please wait...
Step-by-step explanation:
Find the x- and y-intercepts of the graph of 4x – 7y = 36. State each
answer as an integer or an improper fraction in simplest form.
x-intercept:
y-intercept:
Answers
Answer:
See below
Step-by-step explanation:
X Intercept = (9,0)
Y Intercept = (0, -5.143) in fractions (0,-5 143/1000)
X Intercept is what is X when Y is 0.
Y Intercept is what is Y when X is 0.
If is helped you, please mark this as brainliest!! Thank you!! :)
REPOST* which equation or inequality shows the relationship between the plotted points on the number line
A. -4 > 3
B. -4 > -3
C. 3 > -4
D. 3 < -4
Answers
Answer:
letter a. Po sagot diyan
If f(x) = 5-2x find f(9)+ 3
Answers
f (9) = 5 - 2 (9)
f (9) = 5 - 18
f (9) = - 13
f (9) + 3 = - 13 + 3
f (9) + 3 = - 10
Answer:
the answer is -10
Step-by-step explanation:
This isn't a question, but if you need help with math come to me.
Answers
Answer:
Bet!! :D can i get brainliest !! please
Step-by-step explanation:
The graph off passes through (-9, -3) and is perpendicular to the line whose equation is x= -8.
Answers
Answer:
pooStep-by-step explanation:Stinky
As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 50 milligrams of Medication A with 45 milligrams of Medication B. However this week, the doctor said to only use 36 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
Answers
Answer:
40 mg
Step-by-step explanation:
The ratio is 10:9 because 50:45 divided by 5 gives 10:9
if you divide 36/9 that gives you 4, then multiply your ratio by 4 to get 40:36.
20 divided by 4 1/2 (last one) will give brainlist if give a step by step, and will give points.
Answers
Answer:
3/16
Step-by-step explanation:
Answer:
4.4...
Step-by-step explanation:
20 ÷ 4 1/2
let's change 4 1/2 into an improper fraction.
20 ÷ 9/2
20 is the same thing as 20/1, so we'll express it that way.
[tex]\frac{20}{1}[/tex] ÷ [tex]\frac{9}{2}[/tex]
in order to divide fractions, you must multiply the first number (20/1) by the inverse of the second number (2/9). I'll put it in normal fraction form for clarity.
20 2
--- × ---
1 9
now we multiply straight across.
40
----
9
now we have 40 ÷ 9, which is 4.444...
so your answer is 4.4...
{also 4.4 with a repeating bar (tiny line over the .4)}
what is 7.2 times 10 with the exponent of 5
Answers
Answer:
the answer is 720000
Step-by-step explanation:
looked it up
HELP HELP HELP HELP HELP
Answers
Answer:
1) 2 and 4
2) 3 and 4
3) 7 and 8
4) 9 and 10
5) 21 and 22
Step-by-step explanation:
#1
Since √(8) = √(2×4) = 2√2
then the √(8) lies between 2 & 3
#2
Since √(9) = 3 & √(16)= 4
then √(14) lies between 3 & 4
#3
√(60) = √(4×15) = 2√(15)
since √16 = 4 and 4 × 2 = 8
then 2√(15) < 8
∴ the √16 lies between 7 & 8
#4
√99 = √(9×11) = 3√11
√11 lies between √9 & √16 but closer to √9
& 3 × √16 = 12
the 3√11 = √99 likely lies between 9 & 10
#5
√444 = √(4×111)= 2√111
since √100 = 10 & √121 = 11
& 2×10= 20 & 2×11= 22
then 2√111 is likely between 21 & 22
Please refer to the following attachment and find the value of x.
Answers
Answer:
5
Step-by-step explanation:
Sum of interior angles in a 4 sided quadrilateral is 360,
110 + 70 + 14x + 23x - 5 = 360
180 + 37x - 5 = 360
180 - 5 + 37x = 360
175 + 37x = 360
37x = 360 - 175
37x = 185
x = 185 / 37
x = 5
Step-by-step explanation:
We know that,
For a tetragon the sum of all 4 angle is 360°
According to the question,
70+110+(23x-5)+14x=360180+23x-5+14x=36037x-5=360-18037x=180+537x=185x=[tex]\sf{\dfrac{185}{37} }[/tex]x=5Does the following set of ordered pairs make up a relation? If so, is the relation also a function?
Why or why not?
{(2,4), (3, 6), (4,8), (5, 10), (6, 12), (7, 14)
Answers
Answer:
Yes! It does make up a relation. It is also a function. Each x has a y. And also the x doesn't repeat
If the ticket was $36 and she bought it at original price and marked it up 10% and resold the ticket .how much did he resell the ticket for?
Answers
Fill in the missing number. 30% of = 2,700
Answers
Answer:
810!
Hope this helped! Have a nice day!!
Answer:
30% of 2,700 is 810
Step-by-step explanation:
proportions
0.30×2,700
810
if I have 350 cream puffs and I have to have 12 in each box how many boxes will I need
Answers
Answer:
30
Step-by-step explanation:
350÷12=29.1666666666666666......
if you are fitting all of them with no remainder than it would be 30 boxes
if not then 29
Answer:
29 full boxes plus one for the remainder
Step-by-step explanation:
why do you need to know this
and please dont eat that many cream puffs
Give Me BrainliestTranspose for y.
y/5+ f = 3q
Answers
Answer:
y = 15q - 5f
Step-by-step explanation:
[tex]\frac{y}{5}[/tex] + f = 3q ( subtract f from both sides )
[tex]\frac{y}{5}[/tex] = 3q - f ( multiply through by 5 to clear the fraction )
y = 15q - 5f
A. If the measure of 1 = 160°, then the measure of 5 =
B. If the measure of 6 =37°, then the measure of 4 =
C. If the measure of 8 = 82, then the measure of 3 =
Answers
Answer:
A) ∠5 = 160°
B) ∠4 = 37°
C) ∠3 = 98°
Step-by-step explanation:
A)
If ∠1 = 160°
⇒ ∠5 = ∠1 = 160° (∵ Corresponding angles are always equal)
B)
If ∠6 = 37°
⇒ ∠4 = ∠6 = 37° (∵ Vertical angles are always equal)
C)
If ∠8 = 82°
⇒ ∠8 = ∠6 = 82° (∵ Alternate interior angles are always equal)
Now ,
∠6 + ∠3 = 180° (∵ Linear pair)
⇒ ∠3 + 82° = 180°
⇒ ∠3 = 180° - 82° = 98°
10 Points!!! Write the equation of a line with slope 2 and y-intercept -1.
Answers
Answer:
y=2x-1
Step-by-step explanation:
Last term Mark spent $218 on college textbooks. This term the amount he spent on college textbooks decreased by 26.7%. By how much money did his textbook bill decrease this term? What is his total textbook bill for this term?
Answers
Answer:
Money decrease = $58.21
Total Bill = $159.79
Step-by-step explanation:
Starting Value = $218
Percent Decrease = 26.7%
End Value = x
Value Decrease = $218 - x
x = 1(218) - 0.267(21.8)
x = 0.733(218)
x = 159.794 ≈ $159.79
Money Decrease = $218 - $159.79 = $58.21
Total Bill = $159.79
-Chetan K
The amount by which the text book decrease is $58.206
The total textbook bill for the term is $ 159.794
How to calculate the total textbook bill for the term?The first step is the calculate the amount by which the textbook decreased
The formular can be written as
Decrease= original amount × percentage decrease
= 218 × 26.7/100
= 218 × 0.267
= 58.206
The amount by which the textbook decreased is $58.206
The total textbook bill for the term can be calculated as follows
= Original amount- amount decrease
= 218 - 58.206
= 159.794
The total textbook bill for the term is $159.794
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a professional baseball pitcher was capable of throwing a baseball 160 ft/s. during his career, he had the opportunity to pitch in the Houston astrodome,
Answers
Answer:
wheres the rest of question?
Step-by-step explanation: