Answer:
(0,-4)
Step-by-step explanation:
Given
[tex]f(x) = x^\frac{1}{3} - 4[/tex]
Required
Determine the critical numbers
[tex]f(x) = x^\frac{1}{3} - 4[/tex]
Differentiate:
[tex]f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}[/tex]
[tex]f'(x) = \frac{1}{3}x^{-\frac{2}{3}}[/tex]
Equate to 0
[tex]f'(x) = \frac{1}{3}x^{-\frac{2}{3}} = 0[/tex]
[tex]\frac{1}{3}x^{-\frac{2}{3}} = 0[/tex]
Multiply through by 3
[tex]3 * \frac{1}{3}x^{-\frac{2}{3}} = 0*3[/tex]
[tex]x^{-\frac{2}{3}} = 0[/tex]
[tex]x = 0[/tex]
Substitute 0 for x in [tex]f(x) = x^\frac{1}{3} - 4[/tex]
[tex]f(0) = 0^\frac{1}{3} - 4[/tex]
[tex]f(0) = 0- 4[/tex]
[tex]f(0) = - 4[/tex]
Hence, the critical point is: (0,-4)
calculeaza ținând cont de legătură dintre adunare și scadere
Answer:
The explanation is given below:
Step-by-step explanation:
The computation is shown below:
If we add 7 and 2 then it provides 9 and then subtract 2 from 9 it provides 7 and then subtract 7 from 9 it provides 2 and like this way it follows for others two
7 + 2 = 9
9 - 2 = 7
9 - 7 = 2
8 - 3 = 5
5 + 3 = 8
8 - 5 = 3
3 + 7 = 10
10 - 7 = 3
10 - 3 = 7
what is the volume of a cube with 2 1/4 inch sides
Answer:11.39
Step-by-step explanation:
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain
Answer:
[tex]Sum = -81[/tex]
Step-by-step explanation:
See the comment for complete question.
Given
[tex]c = 36[/tex] ----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
[tex]x^2 + ax + 36 = 0[/tex]
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
[tex]x = -\alpha[/tex] and [tex]x = -\beta[/tex]
Using the above roots, the equation can be represented as:
[tex](x + \alpha)(x + \beta) = 0[/tex]
Open brackets
[tex]x^2 + (\alpha + \beta)x + \alpha \beta = 0[/tex]
To compare the above equation to [tex]x^2 + ax + 36 = 0[/tex], we have:
[tex]a = \alpha + \beta[/tex]
[tex]\alpha \beta = 36[/tex]
Where: [tex]\alpha, \beta <0[/tex] and [tex]\alpha \ne \beta[/tex]
The values of [tex]\alpha[/tex] and [tex]\beta[/tex] that satisfy [tex]\alpha \beta = 36[/tex] are:
[tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
So, the possible values of a are:
[tex]a = \alpha + \beta[/tex]
When [tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]a = -1 - 36 = -37[/tex]
When [tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]a = -2 - 18 = -20[/tex]
When [tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]a = -3 - 12 = -15[/tex]
When [tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
[tex]a = -4 - 9 = -13[/tex]
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is:
[tex]Sum = -37 -20 -15 - 9[/tex]
[tex]Sum = -81[/tex]
A. A car travels 20 m/s and reached its destination in a record time of 10 secs. Calculate the distance
travelled by the car.
Question 5
If a, b are non-zero rational numbers, and c is a non-zero irrational number, what can we say about ac + b2c?
I
Answerc and d
Step-by-step explanation:
2+3+5
Triangle ABC and Triangle DEF are similar. Find the unknown measures. (t = ? and u = ?)
This is geometry please help 30 points!
Answer:
sin; 7.7
Step-by-step explanation:
✔️Reference angle = 50°
Length of side opposite to reference angle = b
Hypotenuse = 10
✅The trigonometric function to use is sin
✔️To find b (opp), we would use:
Sin 50 = opp/hyp
Sin 50 = b/10
10 × sin 50 = b
b = 7.66044443 ≈ 7.7 (nearest tenth)
A researcher records the repair cost for 8 randomly selected washers. A sample mean of $60.46 and standard deviation of $18.36 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the washers. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value is T = 1.895.
The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 6
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.895, which is the critical value.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.895\frac{18.36}{\sqrt{8}} = 12.301[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 60.46 - 12.301 = $48.159
The upper end of the interval is the sample mean added to M. So it is 60.46 + 12.301 = $72.761
The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761
The radius of a basketball is approximately 12. Icm. What is the volume of the basketball?
Answer:
A = 4πr2
do you understand this?
Answer:
7238
Step-by-step explanation:
That's the answer....
what is the elasped time between 1:35 and 6:00
Answer:
4 hours 25 minutes
Step-by-step explanation:
subtract 1.35 from 6.00 and recall that 60 minutes make one hour. = 6.00 - 1.35. = 4.25
A laundry basket has 24 t-shirts in it. Four are navy,
12 are red, and the remaining are white. What is the probability of selecting a green shirt
What is the probability of selecting a green shirt
Answer:
The probability is of selecting a green shirt is 8
Step-by-step explanation:
24 - 4 = 20
20 - 12 = 8
The probability of not selecting a white shirt is 2/3.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a laundry basket has 24 t-shirts 4 are navy 12 are red and the rest are white
We have to find the probability of not selecting a white shirt
Total number of shirt's= 24
navy = 4
red = 12
white = 24 - ( 4+12)= 8 white shirts
number of shirts that are not white = 16
Therefore the probability of not selecting a white shirt = 16/24
= 2/3
Hence, the probability of not selecting a white shirt is 2/3.
To learn more on probability click:
https://brainly.com/question/11234923
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A laundry basket has 24 t-shirts 4 are navy 12 are red and the rest are white what is the probability of not selecting a white shirt
Consider the graph of (x+3)2 + (y-2)2 > 1. Which point could confirm the graph is shaded correctly?
O (-4,2)
O (-3,5)
O (-3, 1)
O (-2,2)
Answer:
c) (-3, 1)
Step-by-step explanation:
It's the only point that is not on the border of the graph.
The point could confirm the graph is shaded correctly is (-3, 1)
The correct option is (C).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
[tex]\frac{\left(x\ +3\ \right)^{2}}{1}\ +\ \frac{\left(y-2\right)^{2}}{9} > 1[/tex]
As, per the graph attached below we can see that the small part is not shaded other than that part whole part is shaded.
Hence, the point could confirm the graph is shaded correctly is (-3, 1).
Learn more about graph here:
https://brainly.com/question/16608196
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what is 12x34(234)+123x234
Answer:
it's 124,254
Step-by-step explanation:
34 x 234 = 7,956
12 x 7956 = 95,472
123 x 234 = 28,782
95,472 + 28,782 = 124,254
hope that helps...
please help me please
Answer:
a complete metamorphosis undergoes four stages while an incomplete metamorphosis undergoes three stages skiping the larva stage
-5/4
What is 4 divided by negative 5
Answer:
-0.8
Step-by-step explanation:
Hope this helps!! :) :) Please mark Brainlliest.
I NEED HELP LIKE ASAP PLS WILL GIVE 25 POINTS IF CORRECT PLS NEED ANSWER NOW(ONLY IF CORRECT THO)
Determine the probability of landing on blue. Write your answer as a fraction, decimal, and percent. Show your work! Be ready to discuss your answer. *
Answer: 3/12 3 blues and 12 colors in total i dont know how to explain sorry
Answer:
Hills, mountains and rivers are example of ------------------ features
16/4 divided by 32/1
First of all, observer that 16/4=4
Secondly, 32/1=32 because everything divided by 1 is itself.
Now the question is 4/32
We divide 4 from both top and bottom.
getting 1/8
(4 1/4x + 8) + (-1 1/2x - 12)
Answer:
(19x-290)/(4(x+2)(x-6)
Step-by-step explanation:
Apply Fraction Rule:
(41)/(4x+8)-(11)/(2x-12)
Factor:
(41)/4(x+2)-(11)/(2x-12)
Factor:
(41)/4(x+2)-(11)/2(x-6)
LCM:
(41)(x-6)/(4)(x+2)(x-6)-(22(x+2))/(4)(x+2)(x-6)
Expand:
= (19x-200)/4(x+2)(x-6)
emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.25 mile she bikes. If Emily bikes 15 miles, how much will her mother donate?
Answer:
$25.60
Step-by-step explanation:
To find how much money will be donated, we find how many 0.25's there are in 16 and multiply that by $0.40.
16/0.25=64
64*0.4=25.6
$25.60
Answer:
thanks
Step-by-step explanation:
Lori wants to buy the same number of pencils and pens for school this year. Pencils comes in packs of 16, and pens come in packs of 4. What is the least number of packs of each she could buy? 8103 4 packs of pencils and 1 pack of pens 1 pack of pencils and 4 packs of pens the 1 pack of pencils and 1 pack of pens 4 packs of pencils and 4 packs of pens SUBMIT
Answer:
pencils=16
pen= 4ijsjh
Bugz
hheh7twh556
US 3ju7hutwbh67s
Nigeria is a bad country my name
is Hanna and I am from the USA
I am from Arizona
juhusjyrs hfah its
does anyone know how to do this?
Answer:
90
Step-by-step explanation:
77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong
Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x
Answer:
The constant of proportionality is 7.87.
Step-by-step explanation:
The relation between x and y is given by the equation :
y = 7.87x
y is directly proportional to x i.e.
y ∝ x
To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.
For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent Mercer survey showed that of U.S. employers were likely to require higher employee contributions for health care coverage in 2009. Suppose the survey was based on a sample of companies. Compute the margin of error and a confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage in 2009. The margin of error: (to 4 decimals) The confidence interval: ( , ) (to 4 decimals)
Answerthey die
Step-by-step explanation:
hhhah
What does 253.7 / 6 equal ?
what is the answer to 8221 - 2974
The answer: 8221 - 2974 = 5274
. The expression (x22)( x 7)3 is equivalent to xD. What is the value of p?
how are 2-D and 3-D objects related to each other in real world
Answer:
You can see 2-D flat shapes on the faces of 3-D objects.
For example: You go to the store and you see a box,
the box has 6 faces. The bottom of the box is one of It's faces which is 2-D.
Step-by-step explanation:
Which number shows the digit 2 with a value ten times the value of the digit 2 in the number 54,267? A. 13,821 B. 18,092 C. 24,167 D. 32,154 What's the answer?
Answer:
D. 32,154
Step-by-step explanation:
54,267 can be written as 54267.0
The 2 in 54 267 should be move 1 place to the left to indicate your multiplying by 10
Moving 1 space to the left = Times 10
Moving 2 places to the left = Times 100
Moving 3 places to the left = Times 1000
A jellyfish travels 3/5 mile in 1/6 hour and a walrus travels 5/6 mile in 3/10 hour.
Answer:
The jellyfish travels faster than the walrus
Step-by-step explanation:
Given data
A jellyfish travels 3/5 mile in 1/6 hour
Distance= 3/5 mile
time= 1/6 hour
speed= distance/time
speed= 3/5/1/6
speed= 3/5*6/1
speed= 18 mile per hour
a walrus travels 5/6 mile in 3/10 hour.
Distance= 5/6 mile
time= 3/10 hour.
speed= distance/time
speed= 5/6/3/10
speed= 5/6*10/3
speed= 50/18 mile per hour
Answer:
the first answer is 3 3/5
the second answer is 2 7/9
the third answer is “greater than” and then “jellyfish”
Ur welcome
Please help! Thank you!
Answer:
[tex] \huge \boxed{ \boxed{ \sf \: y = x + 15}}[/tex]
Step-by-step explanation:
to understand thisyou need to know:linear equationlinear equation word problemsPEMDAStips and formulas:linear equation:y=mx+blet's solve:all we need to care about the middle condition which is
the new test score is 15 points more than the original scoregiven that
original score is x
New score is y
if you pay attention to the given condition
we can find it same as linear equation
therefore
according to the question
the equation is
y=x+15