For the graph of the function g(x) = x³-x²-4x+4, g(1.535) = -0.879 is the minimum point and g(-0.869) = 6.065 is the maximum point. g(1/3) = 2.593 is the inflection point.
What is a graph of a function?
The graph of a function f is the set of all points in the plane of the form (x, f(x)).
To graph the function ⇒ substitute with the values of x and get g(x) but at first we need to find the critical points (maximum, minimum, inflection) which can be found by differentiating g(x) with respect to x.
What is an inflection point?Inflection points are points where the function changes concavity, i.e. from being "concave up" to being "concave down" or vice versa.
What are maximum and minimum points?Points in the domain of definition of a real-valued function at which it takes its greatest and smallest values; such points are also called absolute maximum and absolute minimum points.
g'(x) = 3x² -2x-4 = 0
⇒ x = 1.535 and -0.869
⇒ maximum and minimum points
g(1.535) = -0.879 which is the minimum point
g(-0.869) = 6.065 which is the maximum point
g"(x) = 6x -2 = 0
⇒ x = 1/3
⇒ point of Inflection: g(1/3) = 2.593
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A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
The height of the container is
centimeters. If its diameter and height were both doubled, the container's capacity would be
times its original capacity
Answer:
cone volume=(1/3)hpir^2
d/2=r
d=12
d/2=12/2=6=r
V=120pi
120pi=(1/3)hpi6^2
120pi=(1/3)hpi36
120pi=12hpi
divide both sides by pi
120=12h
divide 12
10=h cm
if height and diameter is doubled aka height and radius are doubled
V=(1/3)(2h)pi(2r^2)
we want to see how it compares to V=(1/3)hpir^2
V=(1/3)(2h)pi(2r^2)
V=2(1/3)(h)pi4r^2
V=8((1/3)hpir^2)
the volume is increased by 8 times
blanks are
10
8
Step-by-step explanation:
Answer:
The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Hope this helps!
Step-by-step explanation:
PLZZZ help i beg look at picture firsttt
Answer:
The answer is B. But honestly tempeture rises with every layer.
Question 5 of 5
Evaluate -(5-4)(52)
O A. -25
O B. - 2
O C.
O D. 25
Answer:
-52
Step-by-step explanation:
5 - 4 = 1Plug 1 in: -(1)(52)Simplify: -1 × 52-1 × 52 = -52I hope this helps!
In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of triangle ABD at vertex A. BC=3.1 in. and CD=7.2 in..
What is the length of AC¯¯¯¯¯?
Enter your answer in the box. Round your final answer to the nearest hundredth.
Answer:
4.72 in.
Step-by-step explanation:
BC = 3.1 in.
CD = 7.2 in.
Altitude of right triangle altitude is given as [tex] h = \sqrt{xy} [/tex], where:
h = altitude
x = 3.1 in.
y = 7.2 in.
Plug in the values into the formula
[tex] h = \sqrt{3.1*7.2} [/tex]
[tex] h = \sqrt{22.32} [/tex]
[tex] h = 4.72 in. [/tex] (nearest hundred)
Answer:
4.72
Step-by-step explanation:
I took the test.
find the slope of the line perpendicular to the graph y-1/5x =7
I Need this due in 5
mins
Answer:
-5
Step-by-step explanation:
y- 1/5x = 7
y= 1/5x +7
So, the slope of the line is 1/5
Perpendicular slopes are always the reciprocal with an inverse sign.
So, -5
Hurry please
Reasoning A salesperson's commission rate is 4%. What is the commission from the sale of
$35,000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true
about the commission? Explain without using any calculations.
The commission is $
Answer:
$1400
double is $2800
Step-by-step explanation:
$35,000 x .04 = $1400
if sales double, the commis soon will double so $1400 x 2 = $2800
pls help I’m failing math rn
solve the system of equations below by graphing both equations with a pencil and paper y = x + 1 y = 1/2x + 3
Answer:
(4,5)
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST!!!
1 =41
2 =85
3 =95
4 =85
5 =36
6 =49
7 =106
hope this helps
Can u please hurry up and answer I need it done ty
Answer:
C
Step-by-step explanation:
each marker is placed at 5 gallons up, and one minute over. (up 5, over one AKA 5 over one) 5/1. Hope this helped :)
Answer:
the third one is correct
explanation:
the second dot on the graph shows that it is ten gallons of water for 2 minutes, making the fraction 10/2. That simplifies to 5/1, which is the third answer.
hope this helps :)
ps: pls consider brainliest im trying to rank up
What is 4528 x 7382 PLEASE HELP DUE IN 5 MINUTES!!!!!!!!
Answer:
33,425,696
Step-by-step explanation:
Got it ...........
BABBOEY CHAIN BABBOEY BABBOEY
Answer:
Thank you
Step-by-step explanation:
Babaoey
If the length of the base of a triangle is
increased by 10 percent and the height is
decreased by 20 percent, what is the
percent decrease in the area of the
triangle?
(A) 6%
(B) 8%
(C) 10%
(D) 12%
Answer:
d
Step-by-step explanation:
the answer is 12% decrease in area
The required, percentage decrease in the area of the triangle is 12%. Option D is correct.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Area of the triangle = 1/2bh
Now,
The length of the base of a triangle is increased by 10 percent and the height is decreased by 20 percent,
base = b + 0.1b = 1.1b
height = h - 0.2h = 0.8h
New area = 1/2[1.1b][0.8h] = 0.88 [1/2b/h]
Percentage decrease in area = [ 1/2bh - 0.88 [1/2b/h] / 1/2bh × 100%
= 12%
Thus, the required, percentage decrease in the area of the triangle is 12%. Option D is correct.
Learn more about percentages here:
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I need people to give me Crown
Answer:
here is a crown
Step-by-step explanation:
Answer:
Step-by-step explanation:
I think thats what you need hihihi
Klara has 3 bowls. She puts 6 peaches in each bowl. She has 4 peaches left over. How many peaches did Klara start with in all?
Answers
13
14
18
22
Answer:
22 peaches
Step-by-step explanation:
I hope this help! :)
Ramon has a certain number of nickels and quarters in his pocket. Choose the function which shows that the number of nickels, n, and the number of quarters, q, Ramon has in his pocket results in a total value of $1.10.
A. 0.5n + 0.25q = 1.1
B. 0.05n + 0.25q = 1.1
C. 5n + 25q = 1100
D. 0.25n + 0.05q = 1.1
Answer:
B.0.05n+0.25q=1.1
Step-by-step explanation:
5 cents as a decimal is 0.05 and n represents the nickles
25 cents as a decimal is 0.25 and q represents the quarters
You earn $63,500. The tax chary states your taxes will be $5,081 plus 25% of excess over $36,900. What are your taxes?
Which expression uses the commutative property to make it easier to evaluate (-1/3) x 2/5 x (-9)?
A. (-1/3) x (-9) x 2/5
B. (-9) x 2/5 x (1/3)
C. 1/3 x 5 x 2/9
D. (-1/3) x 5/2 x (-9)
Answer:
the answer is A
Step-by-step explanation:
Answer:
The answer is: A. (-1/3) x (-9) x 2/5
Step-by-step explanation:
A-P-E-X verified
Sigh. I'm Stressed Right Now :(
Marco needs to buy some dog food. At the nearest store, 6 bags of dog food cost $16.50. How much
would Marco spend on 5 bags of dog food?
Marco would spend $ 52,50) on 5 bags of dog food,
Answer:
If he spends $52.50 on 5 bags, add $16.50 to $52.50 and get $69.
Evaluate the function for the indicated values of x.
2x + 1, X3-5
f(x)= x?, -5
3 - X, x 5
Answer:
f(−10) = ⇒ -19
f(2) = ⇒ 4
f(−5) = ⇒ -9
f(−1) = ⇒ 1
f(8) = ⇒ -5
Step-by-step explanation:
Chris had a job walking dogs on the weekends. He earned $8.75 per dog. He walked 5 dogs a week for 7 weeks. How much money did Chris earn?
Answer:
he should be making $306.25
Step-by-step explanation:
what i did was multiply his $8.75 a dog by 5 then multiply it by the 7 weeks
Answer:
Chris's total earning will be: $306.25
Step-by-step explanation:
Given:
Total number of dogs = d = 5
Number of weeks = w = 7
Cost for walking per dog = c = $8.75
First of all, we will calculate his per week cost of walking 5 dogs
Per week cost of walking 5 dogs = d*c = 8.75*5 = $43.75
Then for the cost of 7 weeks, the amount of one week will be multiplied by 7
Total earning will be:
[tex]= 43.75*7 = 306.25[/tex]
Hence,
Chris's total earning will be: $306.25
Please help answer this question for me.
Answer:
Yes
Step-by-step explanation:
Describe a situation that can be modeled by the expression \large x-8.
Step-by-step explanation:
ok please before we can solve that you have to tell more about that thing before you can answer so I'm waiting for you to edit the text and said that thing very well so that we can understand and answer you correctly
Help me with my review please
Answer:
HL
Step-by-step explanation:
Which of the following ratios has the same ratio value as 4:6?
4.16
4.12
5:10
6:9
Answer:
6:9
Step-by-step explanation:
the answer is 6:9 because 4:6' equivalent is 2:3, which is the same as 6:9
PLEASE HELP MATH 15 POINTS
Answer:(_＼ヽ
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ﾚ ノ ヽ_つ
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( (ヽ
| |、＼
| 丿 ＼ ⌒)
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`ノ ) Lﾉ
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Step-by-step explanation: I’m no good at math but good at dancing thx for the points!
i really need help on this
Answer:
B
Step-by-step explanation:
Y will change depending on what x equals, so y is kind of like the dependent variable that changes to the independent variable. That's proportional because x will always be some part of y.
helppppppp! Find the length of PQ if PQR is an isosceles triangle with PQ ≈ QR.
Answer:
43
Step-by-step explanation:
3x + 10 = 5x - 12
10 = 2x - 12
22 = 2x
x = 11
check:
33 + 10 = 55 - 12
43 = 43
correct
x = 11 so bring this into 3x + 10
we get 43
help me out here, i will pick brainliest if you're correct and leave u a good review
Answer:
x=8
Step-by-step explanation:
7x-6+5x+90=180
12x+84=180
12x=180-84
12x=96
x=96/12
x=8
