Answer: minimum value of f = -2 and maximum value of f = 2
Step-by-step explanation:
Given that;
f(x, y) = xy; 4x² + y² = 8
S(x,y) = xy + λ(4x² + y² - 8)
dS/dλ = 4x² + y² - 8 = 0
dS/dx = y + 8λx = 0 -> y = -8λx
dS/dy = x + 2yλ = 0 -> x + 2λ(-8λx) = x(1 - 16λ²) = x(1-4λ)(1+4λ) = 0
-> x = 0 , λ = 1/4 , λ = -1/4
x = 0 -> y = 0 -> it doesn't satisfy 4x² + y² = 8
λ = 1/4 -> y = -8λx = -2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = 2 , -2
λ = -1/4 -> y = -8λx = 2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = -2 , 2
we have 4 critical points:
(-1, 2) -> f = -2
(1, 2) -> f = 2
(-1, -2) -> f = 2
(1 , -2) -> f = -2
Therefore; minimum value of f = -2 and maximum value of f = 2
Spencer randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $21,032 with a standard deviation of $2,494. Using the alternative hypothesis that µ < $21,706, Spencer found a z test statistic of -1.35.
Given the data provided, what is the p-value of the z-test statistic?
Answer: 0.0885
Step-by-step explanation:
To find : p-value of the z-test statistic.
p-value of the z-statistic depends on the alternative hypothesis.
Here , Alternative hypothesis : µ < $21,706 , which is a left tailed hypothesis.
So we will check the area to the left side of the z-statistic.
Since z= -1.35
P(Z<z) =P(Z<-1.35)= 1- P(Z<1.35)
= 1- 0.9115
= 0.0885
Hence, the required p-value = 0.0885
Answer:
0.0885
Step-by-step explanation:
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. Write an equation to represent the situation.
A) 30 - 0.12 = 18x
B) 18 + 0.12x = 30
C) 18 - 0.12x = 30
D) 18x + 0.12 = 30
please help
Answer:
B
Step-by-step explanation:
It's B because Alex wants to spend exactly $30, and since he has to pay $18 as a charge and $0.12 per mile, you would have to add those two together to get $30. Since you're spending money per mile and the charger, you have to add them.
Please helppppp
Shawna knows that the number of milligrams in a Childs dose of certain medicine is equal to two-thirds the weight of the child's in pound. How much of the medicine should Shawna give a child who weighs 45 pounds?
A: 15mg
B: 30mg
C: 35mg
D: 40mg
Answer:
I think B
Cuz : he said that the medicine is equal to two-thirds the weight of the child's in pound which means 2/3 multiple 45 is 30
Isn't it?
If a = -9 and b = -4, what is the value of a + b ?
-5
5
-13
13
Kellen got an e-mail from his bank on June 7th, June 21st, July 5th, and July 19th. Use inductive reasoning to predict the next time Kellen will receive an e-mail from his bank. A. July 21st B. July 26th C. August 2nd D. August 3rd
Answer:
August 2nd
Step-by-step explanation:
31 days in july, last email on the 19th
19-5=14
31-19=12
12+2=14
August 2nd, please mark brainliest
PLZ HELP ASAP WILL GIVE BRAINLIEST
Move point F to various positions so the measure of ZA is approximately 15°, 30°, 45°, 60°, and 75°, and record the ratios of the sides of A5C anu
ADE
Answer:
Step-by-step explanation:Correct answer
Is this a function???
Answer:
pfft no lol
Step-by-step explanation:
yeah no
have a good day! :)
plz give me brainliest
Answer:
yes
Step-by-step explanation:
i think,because it goes past the center it all
Find the value of x in the diagram below. Classify
Answer:
x = 31.3
Step-by-step explanation:
100° and (3x + 6)° are vertical angles. Vertical angles are congruent.
To find the value of x, set both equal to each other.
3x + 6 = 100
3x = 100 - 6 (subtraction property of equality)
3x = 94
x = 94/3 (division property of equality)
x = 31.3 (nearest tenth)
How many points will I get if I get 60 points every 5 mins and it goes on for 4 hours?
Answer:
well u multiply 60 and 12 which is 720 then multiply that by 4 that equals 2,880 more points
What is the median of this set of data?
1, 2,5,6,9.
Answer:
5
Step-by-step explanation:
it's the middle of the set of data
HELP ME PLZ
What is the slope of a parallel to the line that passes through (- 3, 1) and (3, 7)
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{7-1}{3-(-3)}[/tex]
= [tex]\frac{7-1}{3+3}[/tex]
= [tex]\frac{6}{9}[/tex]
= [tex]\frac{2}{3}[/tex]
Answer:
To calculate slope with any two given points the formula is y2 - y1 / x2 - x1. So to solve the problem just plug in the values: 7 - 1 / 3 - (-3), 6 / 6, the slope is 1
How long is a guy wire reaching from the top of a 21ft. Pole to a point on the ground 15ft. From the pole
Answer:
26ft
Step-by-step explanation:
This would form a triangle so you would use Pythagorean theorem to find the hypotenuse ( the longest side )
1/2 y-1/3 x-1=0 in general form ax+by+c=0
3x + 2y = 8
2y = –3x + 8
y= -3/2 x+4
m= -3/2
Answer:
m= -3/2
Step-by-step explanation:
Hope this helped have an amazing day!
Please help fast, thanks.
Answer:
b
Step-by-step explanation:
Solve for x.
2(3x – 4) + x – 1= –16
Answer:
x=-1
Step-by-step explanation:
it easy fhfhfhrbf
Answer:
-1
Step-by-step explanation:
6x-8+x-1=-16
7x-9=-16
7x=-7
x=-1
a bag with 6 marbles has 3 red marbles one yellow marble and two blue marbles a marble is chosen from the bag at random what is the probability that it is red write in fraction in simplest form
The probability of choosing a red marble is 1/2.
Given that, a bag with 6 marbles has 3 red marbles 1 yellow marble and 2 blue marbles.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here, the total number of outcomes =6
The number of favorable outcomes =3
Probability of an event = 3/6
= 1/2
Therefore, the probability of choosing a red marble is 1/2.
To learn more about the probability visit:
https://brainly.com/question/11234923.
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Just do q1-4 and hurry...... he’s coming for me!
1.order of operations
2.12 or variable
3.error
4.Line(12¨
hope this helps
plz consider marking brainliest
Simplify each expression. (Will Give Brainlest)
Answer:
0.88
Step-by-step explanation:
-5.37 + 8.14 - 1.89
-5.37 + 6.25
= 0.88
Step-by-step explanation:
please i worked on paper worksheet
please see it
PLEASE ANSWER ASAP WILL GIVE 20 POINTS IF CORRECT PLS ANSWER NOW
What is the product of 3.4 × 10^-14 and 1.8 × 10^28?
6.12 × 10^14
9.4 × 10^14
5.2 × 10^42
6.12 × 10^42
Answer:
Its 6.12 × 10^42
Step-by-step explanation:
U have to break it into pieces.. Np Merry Christmas
Kiran reads 5 pages in 20 minutes. He spends the same amount of time per page. How long will it take him to read 11 pages? If you get stuck, consider using the table. *
Answer: 44 Minutes
Step-by-step explanation: 20/5 = 4 || 4x11 = 44
Multiply both sides by what?
-6y( )=3( )
Answer:
By -2 (two) I believe, but plz correct me if I’m wrong!
Step-by-step explanation:
Which choices are solutions to the following equation?
Check all that apply.
X2-7x = -24/4
A. X=1
B. X=2
C. X=12
D. X=6
Leshonda had been working at her job for almost twenty years. She felt like she worked overtime more often than not (more than 50% of the time) and deserved a raise, so she randomly selected 50 paychecks (each for one week of work) and found that she had worked overtime in 32 of those weeks. Use a TI-83, TI-83 plus, or TI-84 calculator to test whether Leshonda worked overtime more often than not. Identify the p-value, rounding to three decimal places.
Answer:
Z statistic = 1.980
Pvalue = 0.024
Step-by-step explanation:
Sample size (n) = number of paychecks = 50
Number of overtime (x) = 32
Let Number of overtime = o
Claim : Overtime work is done more than 50% of the time ;
Null hypothesis:H0: o = 0.5
Alternative hypothesis : H1: o > 0.5
Using the T84 calculator :
Selecting the 1 proportion test under the Stat menu:
p0 = 50% = 0.5
x = 32 ; n = 50 ; >p0
The z test statistic value obtained is 1.980 (3 decimal places)
The P value = 0.024 (3 decimal places)
At α = 0.05 ;
P value < α ; therefore we reject the null
Hence, overtime work is done more than 50% of the time.
28/x+4=11 Please help soon
Answer:
how soon tho
Step-by-step explanation:x= 4
HELP PLSPLSPLS WHOEVER GETS RIGHT GETS BRANNIEST !!! PLS HELP FAST!!!!!!!!!!!
Answer:
Your answer is going to be 34/7.
Step-by-step explanation:
In order to solve this problem, you are going to have to work backward. In the first part, you are trying to see what subtracted with 59/7 after you find that you add 22/7 to it. then subtract 30/7 from the sum. This gives you your answer.
59/7-19/7
40/7+22/7
64/7-30/7
34/7
given f(x)=2x-5, find x when f(x)=9
Answer:
x = 7
Step-by-step explanation:
9 = 2x - 5
add 5 to both sides
14 = 2x
divide by 2 to get x by itself
x = 7
EX 1) Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game's Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax?
Answer:
$42
Step-by-step explanation:
Given that,
Galore Super Store buys the latest video game at a wholesale price of $30.00.
The markup rate at Game's Galore Super Store is 40%.
We need to find the price from the store. It can be calculated as follows :
[tex]C=30+\dfrac{40}{100}\times 30\\\\=30+12\\\\=\$42[/tex]
Hence, we will pay $42.
PLZ HELP WILL GIVE BRAINLIEST
the answer is c
Step-by-step explanation:
it is because you have to times 3 and 4 and 3 and 9
Answer:
The answer is 27/ 12x - 9 = 28
Step-by-step explanation:
All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.
3 ( 4x - 9 ) = 28 = 12x - 27 = 28
Hope this helped.
♡(ŐωŐ人)
In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140
Answer:
110,........................