Answer:
The solution is:
z (max ) = 446.25 $
x₁ = 55 x₂ = 0 x₃ = 5 x₄ = 70
Step-by-step explanation:
From problem statement:
Nacholupa Quesatilla Enchinacho Burritaco
x₁ x₂ x₃ x₄
Cheese 2 4 2 4
meat 0 2 2 2
beans 4 0 2 0
Tortillas 3 1 3 1
Price $ 2.75 2 3 4
From table :
z = 2.75*x₁ + 2*x₂ + 3*x₃ + 4*x₄ to maximize
Subject to:
Availability of cheese: 400 ou
2*x₁ + 4*x₂ + 2*x₃ + 4*x₄ ≤ 400
Availability of meat : 150 ou
2*x₂ + 2*x₃ + 2*x₄ ≤ 150
Availability of beans : 400 ou
4*x₁ + 2*x₃ ≤ 400
Availability of tortillas : 250
3*x₁ + x₂ + 3*x₃ + x₄ ≤ 250
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 x₄ ≥ 0
All integers
With the use of AtomZmath ( integer solving on-line software )
The solution is:
z (max ) = 446.25 $
x₁ = 55 x₂ = 0 x₃ = 5 x₄ = 70
identify vertex of this parabola
Answer:
the vertex of the parabola is at (1,2)
The point-slope equation of a line is
O A. y+ X- XV0 = m
O B. y= m(x-yo)
O C. y+ mx - mxoyo
O D. y-yo = m(x - xo)
Answer:
D. [tex] y - y_0 = m(x - x_0) [/tex].
Step-by-step explanation:
The equation of a line can be written in the point-slope form if we know the the coordinates of a point the line passes through which is [tex] (x_0, y_0) [/tex]. And if we also know the slope = m of the line.
Therefore, the point-slope equation is given as:
[tex] y - y_0 = m(x - x_0) [/tex]
Can someone help me?
Answer:
7. D) 61in
8. A) 57in
9. A) 47in
Step-by-step explanation:
The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.
7.
AB + BC + AC = 145
Substitute,
2x + 2x + 5 + x = 145
Simplify,
5x + 5 = 145
Inverse operations,
5x + 5 = 145
-5
5x = 140
/5
x = 28
Substitute,
AC = 2x + 5= 2(28) + 5 = 61
8.
AB + BC + AC = 135
Substitute,
2x + 2x + 5 + x = 135
Simplify,
5x + 5 = 135
Inverse operations,
5x + 5 = 135
-5
5x = 130
/5
x = 26
Substitute,
AC = 2x + 5 = 2(26) + 5 = 57
9.
AB + BC + AC = 122
Substitute,
x + 22 + 2x + x = 122
Simplify,
4x + 22 = 122
Inverse operations,
4x + 22 = 122
-22
4x = 100
/4
x = 25
Substitute,
AB = x + 22 = 25 + 22 = 47
A company owns two stores and recorded data for the number of days missed by employees.
Store 1. 1, 2, 1, 1, 0, 4, 2, 0, 0
Store 2. 1, 0, 1, 1, 0, 4, 9, 1.
Select true or false for each statement.
Based on the median, typically employees missed more days at Store 2 than at Store 1
The median number of days missed by employees at Store 2 is 0.5
The number of days missed by employees at Store 1 ranged from 0 to 4
Answer:
a) false, median is 1 for each store
b) false, median at store 2 is 1
c) true
Step-by-step explanation:
which equation best represents the relationship between x and y in the graph
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line → A
Find the volume of the solid
Answer:
552
Step-by-step explanation:
Answer:
V = 552 mm^3
Step-by-step explanation:
To find the volume of a prism, you multiply the base and the height. We can write an equation to model the situation:
V = Bh
Where V is the volume, B is the base, and h is the height.
We can substitute the values we have:
V = 92 x 6
V = 552 mm^3
help please i only got 4 minutes
Answer:
just set the 2 equations equal to each other. answer is 7, 13/3
Step-by-step explanation:
It took gigi 1 hour and 20 minutes to complete a bicycle race It took Johnny twice as long because he got a flat tire. How many minutes did it take Johnny to finish the race?
What is the period of the parent cosine function, y=cos(x)? degrees
What is the period of the cosine function shown in the graph? degrees
Answer: first 360 second 1080 third horizontal stretch
Step-by-step explanation:
The period of this parent cosine function [y=cos(x)] is equal to 360 degrees.
What is the period of a cosine function?The period of a cosine function can be defined as the overall length of the interval of values on the x-axis over which a graph lies and it's repeated. Mathematically, the period of this parent cosine function [y=cos(x)] is given by:
T = 2π/A
Where:
A is the coefficient of the x.When A = 1, we have:
T = 2π/1 = 360 degrees.
For the graphed function, the period of this cosine function is given by:
T = 6π
T = 6 × 360
T = 1080 degrees.
Read more on cosine function here: https://brainly.com/question/4599903
Find the slope of a line parallel to y=-2/5x+4/5
A student purchased a used car for $5,000. Three months later, the student discovers the car needs major repairs which will cost $2,000. The student must decide whether to repair the car or purchase another car. Which statement is correct?
Answer:
The relevants cost are $2,000
Step-by-step explanation:
Based on the information given in a situation where the student have to decide whether to repair the car or purchase another car the correct statement is: THE RELEVANTS COST ARE $2,000 because the cost of repairs of the Amount of $2,000 represent the RELEVANT COST.
Therefore RELEVANT COSTS are costs or expense that can be incurred due to some certain decisions and on the other hand RELEVANT COSTS which is also known as AVOIDABLE COST can be seen as the cost or expense a person or an individual can do away with depending on other alternative such person choose to pick.
Answer:
2000
Step-by-step explanation:
What is the shift from in the parent function y=x^2 to this function: y=(x+2)^2+3
A. The parent function would shift 3 units to the left and 2 units down.
B. The parent function would shift 3 units to the right and 2 units down.
C. The parent function would shift 2 units to the right and 3 units down.
D. The parent function would shift 2 units to the left and 3 units up.
Answer:
Shift to the right by 2 units, vertical translation upwards by 3 units.
Step-by-step explanation:
What is the area of a circle with a radius of 26 meters? Use 3.14.
Answer:
2,2122.64
Step-by-step explanation:
equation -
3.14*(26*26) or 3.14*26^2
26*26=676
676*3.14=2,122.64
Hope this helps :)
A factory produced 150 tons
Answer:
Nice
Step-by-step explanation:
but tons of wut'
Find an angle coterminal to 746°, where 0° < 0 < 360°
Answer:
26º
Step-by-step explanation:
746 - 360 = 386
386 - 360 = 26
What is the slope-intercept equation of the line below? y-intercept=(0,2) slop=-1/4
Answer:
y=-1/4x+2
Step-by-step explanation:
So the forumla for slope/intercept equation is:
y=mx+b
Y equals the y coordinates on the graph. This is the value that you plug in x to solve for.
m equals the slope of the graph. (In this case -1/4)
x equals the x coordinates. This will always be just x when writen in a slope intercept equation, since x is the value you plug in to solve for y.
b equals the y intercept. This is different from the y coordinates. This is a known value, which can be found when x=0. (In this case 2)
Now, using this lets plug in our numbers for the differet variables:
y=mx+b
We know that m, the slope, is -1/4. So:
y=-1/4x+b
We also know that b, the y inteercept, is 2. Since we have the coordiantes (0x, 2y). So:
y=-1/4x+2
This is all you have to do! This is because y is the number you solve for, and x is the value you plug.
Hope this makes sense and helps! :)
Help !!!!!!!!!!!!!!!!!!!!!
Answer:
6/52 is a reasonable answer
Express this decimal 0.8 as a fraction
Answer: 4/5
How to: Convert to a mixed number by placing the numbers to the right of the decimal over 10 . Reduce the fraction.
Have a great day and stay safe ! so sorry if wrong
Answer:
8/9
Step-by-step explanation:
i got it righttt
Which variable will you choose to eliminate? How?
8x + 3y = -7
7x + 2y = -3?
I need to show the work Can someone please help?
Thank you
Answer:
Variable elimination 8x+3y=-7 3y=-8x-7 y=-8/3x-7/3 Now plug it into y 7x-16/3x-14/3=-3 5/3x-14/3=-3 5/3x=5/3 x=1Lisa scored 85, 92, 87, 93 and 90 on 5 tests. What is the minimum score she needs to make on her 6th test to guarantee a 90 average in math class? The
Answer:
93
Step-by-step explanation:
(85 + 92 + 87 + 93 + 90 + x)/6 = 90
(447 + x)/6 = 90
multiply both sides of the equation by 6:
447 + x = 540
subtract 447 from both sides:
x = 93
Quadratic below
2^2−7−4
Vertex -
Y-Intercept -
X-Intercept -
Answer:
The y-intercept is y = -4.
The x-intercepts are [tex]x = 4[/tex] and [tex]x = -\frac{1}{2}[/tex]
The vertex is [tex](\frac{7}{4},-\frac{81}{8})[/tex]
Step-by-step explanation:
Quadratic equation:
Has the following format:
[tex]y = ax^2 + bx + c[/tex]
The y-intercept is c.
Finding the x-intercepts:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
Vertex:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
In this question:
The quadratic equation is [tex]2x^2 - 7x - 4[/tex], which has [tex]a = 2, b = -7, c = -4[/tex]. This means that the y-intercept is y = -4.
x-intercepts:
[tex]\Delta = (-7)^2-4(2)(-4) = 81[/tex]
[tex]x_{1} = \frac{-(-7) + \sqrt{81}}{2*2} = 4[/tex]
[tex]x_{2} = \frac{-(-7) - \sqrt{81}}{2*2} = -\frac{1}{2}[/tex]
The x-intercepts are [tex]x = 4[/tex] and [tex]x = -\frac{1}{2}[/tex]
Vertex:
[tex]x_{v} = -\frac{(-7)}{2*2} = \frac{7}{4}[/tex]
[tex]y_{v} = -\frac{81}{4(2)} = -\frac{81}{8}[/tex]
The vertex is [tex](\frac{7}{4},-\frac{81}{8})[/tex]
Helllpppp pls answer both questions !!!! 30pts
Which expressions are equivalent Log 2- log 8
Answer:
log(.25)
Step-by-step explanation:
[tex]log(a)-log(b)=log(\frac{a}{b})\\log(2)-log(8)=log(\frac{2}{8})\\log(\frac{1}{4})[/tex]
ASAPPP PLSSSS HELPPP!!!!!
A)67
B)23
C)117
D)157
E)None of these
Lincoln buys milk and oranges at the store.
He pays a total of $41.63.
He pays a total of $4.19 for the milk.
• He buys 6 bags of oranges that each cost the same amount.
.
Write and solve an equation which can be used to determine x, how much each bag
of oranges costs.
Answer:
$6.24
Step-by-step explanation:
equation: $41.63 - 4.19 = 37.44
solve: 37.44 ÷ 6 = 6.24.
hope this helped!
Answer:
He pays a TOTAL of $41.63. Meaning everything is equal to that value
He pays 4.19$ for Milk
He buys 6bags of Oranges and each of these cist the same amount.. let's say x.
So 6 bags would cost 6x
So Total is
6x + 4.19 =41.63
6x= 41.63-4.19
6x=37.44
x=37.44/6
x=$6.24
To check this
6x + 4.19 should equal 41.63$
6(6.24) + 4.19= $41.63
I need a math wizard!! Anyone know the answer?
Answer:
SinA = CosB
SinB = CosA
CosA = SinB
CosB = SinA
Find the missing angle.
Answer:
=180-50-70
=50
Step-by-step explanation:
=180-50-70
50
in screenshot ı didn t understand this question
Answer:
cool neither do i
Step-by-step explanation:
126,349 rounded to the hundred place
Answer:
126,300.
Step-by-step explanation:
Answer:
Your answer would be 126,350!
Step-by-step explanation: Since the ones place is directly beside the hundreds place to the right, you would use this number to determine whether you stay or round up. 9 is greater then 5, meaning you round up making the hundreds place a 5. Hope this helps! :)
What is 12.4 inches in millimeters
What is 23.1 inches in millimeters
Answer:
314.96
586.74
Step-by-step explanation:
Answer:314.96; 586.74
Step-by-step explanation:
1 inch = 25.4 millimeters
12.4 x 25.4 = 314.96
23.1 x 25.4 = 586.74
Multiply the number of inches by 25.4 to convert to millimeters :).