Answer:
2x+y=15x+y=10
Consider the first equation. Subtract 15x from both sides.
2x+y−15x=y
Combine 2x and −15x to get −13x.
−13x+y=y
Subtract y from both sides.
−13x+y−y=0
Combine y and −y to get 0.
−13x=0
Divide both sides by −13. Zero divided by any non-zero number gives zero.
x=0
Consider the second equation. Insert the known values of variables into the equation.
15×0+y=10
Multiply 15 and 0 to get 0.
0+y=10
Anything plus zero gives itself.
4. Show the expanded notation for 2c + 5c
Answer:
Is the question really expanded notation
A lottery game requires that 3 different numbers are picked from 1 to 9 if someone picks all 3 winning numbers the person wins 9 million complete parts a and b
Glve the values of a, b, and c needed to write the equation's standard form. 3(x-4)(x + 5) = 1
O A= 2; B = 2; C = -43
O A = 2/3; B = 1; C = -20
O A=2; B = 2; C = 43
Answer:
c
Step-by-step explanation:
Twelve friends met for for dinner. They learned that three-twelfths of them
were born in Texas, two-twelfths in New York and the rest in Idaho.
How many friends were born in Idaho?
the answer is seven twelfth
Compute the discriminant D(x,y)D(x,y) of the function. f(x,y)=x3+y4−6x−2y2+3 f(x,y)=x3+y4−6x−2y2+3 (Express numbers in exact form. Use symbolic notation and fractions where needed.) D(x,y)=D(x,y)= Which of these points are saddle points? (2⎯⎯√,0)(2,0) (2⎯⎯√,1)(2,1) (−2⎯⎯√,1)(−2,1) (2⎯⎯√,−1)(2,−1) (−2⎯⎯√,−1)(−2,−1) (−2⎯⎯√,0)(−2,0) Which of these points are local minima?
The discriminant of function [tex]f(x,y)=x^3 + y^4 - 6x-2y^2+3[/tex] is 72xy³ – 24x and points (√2,0), (-√2, 1) and (-√2, -1) are saddle point, and points (√2, 1) and (√2, -1) are local minima.
A function is an expression in terms of one or more variable.
If f(x, y) is a two-dimensional function that has a local extremum at a point ([tex]x_o, y_o[/tex]) and has continuous partial derivatives at this point, then [tex]f_x (x_o, y_o)=0[/tex] and [tex]f_y (x_o, y_o)=0[/tex]. The second partial derivatives test classifies the point as a local maximum or local minimum.
Then
1. If D > 0 and [tex]f_{xx}(x_o, y_o) > 0[/tex] , the point is a local minimum.
2. If D > 0 and [tex]f_x_x (x_o, y_o) < 0[/tex], the point is a local maximum.
3. If D < 0, the point is a saddle point.
4. If D = 0, higher order tests must be used.
Given that
[tex]f(x,y)=x^3 + y^4 - 6x-2y^2+3[/tex]
[tex]f_x = 3x^2-6[/tex]
[tex]f_x = 0[/tex] implies that [tex]x = \pm\sqrt2[/tex]
[tex]f_y= 4y^3-4y[/tex]
[tex]f_y= 0[/tex] implies that y = 0; y = [tex]\pm[/tex]1.
Thus, the critical points are (√2,0), (√2,1), (√2, -1);(-√2,0), (-√2,1); (√2, -1).
[tex]f_{xx} = 6x[/tex]; [tex]f_y_y = 12y^3 - 4[/tex], [tex]f_{xy}= 0[/tex]
D(x, y) = [tex]f_{xx}f_{yy} - f_{xy}^2[/tex]
= 6x × (12y³ – 4)
D(√2, 0) = -24√2 < 0 implies (√2,0) is a saddle point.
D(√2, 1) = 48√2 > 0 ; [tex]f_{xx}(2, 1) = 6\sqrt2 > 0[/tex] implies (√2, 1) is local minimum.
D(√2, -1) = 48√2 > 0; [tex]f_{xx}(2, -1) = 6\sqrt2 > 0[/tex] implies (√2, -1) is local minimum.
D(-√2, 0) = 24√2 > 0; [tex]f_{xx}(-2,0) = -6\sqrt2 < 0[/tex] implies (-√2, 0) is local maximum.
D(-√2, 1) = -48√2 < 0 implies (-√2, 1) is a saddle point.
D(-√2, -1) = -48√2 < 0 implies (-√2, -1) is a saddle point.
Thus, (√2,0), (-√2, 1) and (-√2, -1) are saddle point, and (√2, 1) and (√2, -1) are local minima.
Learn more about functions here:
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Determine the perimeter of a rectangle that is 10 inches long and 9 inches wide.
inches
Answer:
38
Step-by-step explanation:
2(l + b)
2(10 + 9)
2(19)
2*19
38
The owner of a restaurant is concerned about customers who ask for a water cup when placing an order but fill the cup with a drink from the beverage fountain instead of filling the cup with water. The owner randomly selected 90 people who order a water cup and found that 21 of those customers filled the cup with a soft drink.a. Construct and interpret a 95 percent confidence interval for the proportion of all customers who, having asked for a water cup when placing an order, will fill the cup with a soft drink from the beverage fountain. b. The owner estimates that each customer who asks for a water cup but fills it with a soft drink costs the restaurant $0.35. Suppose that in the month of June 2,500 customers ask for a water cup when placing an order. Use the confidence interval constructed in part (a) to give an interval estimate for the cost to the restaurant for the month of June from the customers who ask for a water cup but fill the cup with a soft drink.
Answer:
This is very confusing.
Can you try and make this a shorter question for me to answer?
Step-by-step explanation:
I need help please anyone help me???????
During a competition, numismatist Aditi has been given Rs. 200 in Rs.1 denominations. The judge asks Aditi to allocate the Rs. 1 denominations into a number of pouches such that any amount required between Rs.1 & Rs. 200 can be given by giving out a certain number of pouches without opening them. Aditi thinks and asks the judge to give her 'x' number of pouches to keep the money, where 'x' is the minimum number of bags required to keep the total money. Can you guess the value of 'x'?
9514 1404 393
Answer:
8
Step-by-step explanation:
If the bags can either be given or not, each bag can assume one of two states. In order for there to be 200 possible combinations of items in one of two states, there must be at least log2(200) = 7.64 items. The minimum number of bags is x = 8.
_____
The contents of the 8 bags will be Rs. 1, 2, 4, 8, 16, 32, 64, 73.
HELPP!! I report wrong answers!!
solve the equation for the value of x; 8x + 12 = 52.
a) x = 12
b) x = -5
c) x = 5
d) x = 52
Answer:
5
Step-by-step explanation:
8x + 12 = 52
move constant to right
8x=52-12
subtract numbers
8x=40
divide both sides
x=5
Help me out thanks u !!!
Answer:
116
Step-by-step explanation:
All angles will add up to 360°
So just do 360 -55 -79 -110 = 116
Answer:
The answer is 116 because the sum of angles in a quadrilateral is 360 degrees.
19.214÷13
pls someone help me
Answer:
1.478
Step-by-step explanation:
Pls help I’m failing I need a good grade
The answer is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which of the following points are part of the solution set to the inequality
y ≤ −1\3 x +7
A.
(-9, 1)
B.
(3, 13)
C.
(12, -4)
D.
(3, 7)
Answer:
45
St45-by-step explanation:
Factorize 6q-29q+28
Step-by-step explanation: This equation is prime.
2. Which of the following statements shows the distributive property?
5 + (4 – 2) = 20 – 10
5(4 – 2) = 20 – 10
5 + (4 – 2) = 9 + 3
5(4 – 2) = 9 – 7
PLEASE HELP ME!!! ITS A MONTH PAST DEW! I NEED HELP ASAP!
the point (2, -3 ) is reflected in the line x = 0 find the image
Answer:
The image of [tex]P(x,y) = (2,-3)[/tex] is [tex]P'(x,y) = (-2, -3)[/tex].
Step-by-step explanation:
According to this statement, we need to find the image of a given point by reflection with respect to the y-axis. The reflection can be done by following operation:
[tex]P(x,y) = (x, y) \to P'(x,y) = (-x, y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Reflected point.
If we know that [tex]x = 2[/tex] and [tex]y = -3[/tex], then the reflecting point is:
[tex]P'(x,y) = (-2, -3)[/tex]
The image of [tex]P(x,y) = (2,-3)[/tex] is [tex]P'(x,y) = (-2, -3)[/tex].
-3/4 ( 8y - 12 ) + 1/5 ( 15y - 30 )
If you are given the diameter, how can you calculate the radius
Answer:
divide the diameter by 2
Solve For X
(This is arcs and i could use some help)
Answer:
x = - 4
Step-by-step explanation:
Since we are looking at a circle, we know that the sum of all arc angles should add up to 360°. This means that the following...
- 32x - 3 = 360 - 85 - 35 - 115
- 32x - 3 = 125
- 32x = 125 + 3
- 32x = 128
x = 128 / (-32)
x = - 4
HELPP ASAP PLSS I’ll mark brainliest!!!
Parallelogram WXYZ.
WX = 13x + 15
YZ = 19x - 9
Find the values of x and y.
Answer:
Step-by-step
sum of the adjacent angles of parallelogram is supplementary.
Therefore,
Q + R = 180°
4y+7 + 10y-37 = 180°
14y - 30° = 180°
14y = 210°
y = 210°/14
y = 15°
Could not found X in the question.
Answer: 3.27
Step-by-step explanation:
Jean borrows $12,000 for 8 years at 6% interest. What is the approximate cost of the loan? What is Jean’s approximate total cost? What is Jean’s approximate monthly paymen
Answer:
$5760
Step-by-step explanation:
12000 × 8 × .06 = 5760
Find the area of the figure.
= m
(simplify your answer)
AY
1500-
1400
1300
Optional: How much compound
interest is earned at 35 years?
(looks to be in the middle)
compound interest
Total amount (dollars)
1200
1100
1000
900
800
700
600
500
400
300
200
100
Optional: How much simple
interest is earned at 35 years?
(looks close to the whole number)
simple interest
(a) How much more compound
interest than simple interest is
earned after 35 years?
0
5 10 15 20 25 30 35 40 45 50
Number of years
Answer:
How much compound interest is earned at 35 years? 850
How much simple interest is earned at 35 years? 600
How much more compound interest than simple interest is earned after 35 years? 250
Step-by-step explanation:
Please help me with the question
Answer:
4(7+y) and 4·7+4·y
Step-by-step explanation:
4(7+y)= 28+4y
4·7+4·y= 28+4y
Please help I’ll give Brainliest!
What’s the answer to 7x when x=8 I need help please
Answer:
56
Step-by-step explanation:
7x8=56
Step-by-step explanation:
7(8)
= 56
use tye substitution property
What is the sum?
х 3
+
X+3 X+ 3
+
X+ 3
اله اثر)
X+5
X + 3
X+5
3x+27
6x
X+3
Answer:
there is no question like that
Step-by-step explanation:
are you fooling AROUND