WHICH ONE SHOULD I PUT?
Answer:
42.5
Step-by-step explanation:
27x+y=7 xy=5 find x3+y3
Answer:
Step-by-step explanation:
x^3+y^3 = (x+y)(x^2+y^2-xy) = (x+y)((x+y)^2 - 3xy) = 12(12^2 -3*27) = 12 (144-81) = 12*63 = 630+126 = 756
+ y = 12
xy = 27
x = 3
y = 9
x3 + y3
= 3^3 + 9^3
= 756
10
x + y = 12 eq1
, x y = 27eq2
from x + y = 12
y = 12 - x
plug in eq1 to eq2
x(12 - x) = 27
12x - x^2 = 27
x^2 - 12x + 27 = 0
(x - 9)(x - 3) = 0
x - 9 = 0, x - 3 = 0
x = 9, x = 3
solving for y
when x = 9
y = 12 - x
y = 12 - 9
y = 3
solving the value of x^3 + y^3
x^3 + y^3 = (9)^3 + (3)^3 = 756 answer//
from the first expression y = 12 - x
substitute into xy = 27 giving
x(12-x) = 27
the quadratic has two solutions for x,y
x = 3 and y = 9 or x = 9 and y = 3
either way,
x^3 + y^3 = 3^3 + 9^3 = 756
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If a quadratic equation has a negative leading coefficient and a discriminant of -40, which of the following is true?
1. The graph will be a parabola that opens down and does not touch the x-axis.
2. The graph will be a parabola that opens up and does not touch the x-axis.
3. The graph will be a parabola that opens down and touches the x-axis once.
4. The graph will be a parabola that opens down and touches the x-axis twice.
Negative leading coefficient. Therefore it is the downward paeabola.
Discriminant of -40 therefore the parabola does not touch x-axis
so the answer is 1.
A small company manufactures three different electronic components for computers.
Component A requires 2 hours of fabrication and 1 hour of assembly; component B
requires 3 hours of fabrication and 1 hour of assembly; and component C requires 2
hours of fabrication and 2 hours of assembly. The company has up to 1,000 labor hours
of fabrication time and 800 labor hours of assembly time available each week. The
combined total of components A, B, and C can’t exceed 420 in a week. The profit on
each component A, B, and C is $7, $8, and $10 respectively. How many components of
each type should the company manufacture each week in order to maximize profit
(assuming that they can sell all that they manufacture)? What is the maximum profit
Answer:
Modays
Step-by-step explanation:
They suck.
The company should manufacture 200 units of component A, 120 units of component B, and 100 units of component C each week, resulting in a maximum profit of $3360.
Define the variables:
a = Number of component A units produced each week
b = Number of component B units produced each week
c = Number of component C units produced each week
Set up the constraints:
Fabrication hours: 2a + 3b + 2c ≤ 1000
Assembly hours: a + b + 2c ≤ 800
Combined total of components: a + b + c ≤ 420
Set up the objective function: maximize: 7a + 8b + 10c
Now, we have the problem set up.
We can use linear programming techniques to find the optimal solution.
Solve the linear programming problem:
By applying the Simplex method or any other optimization algorithm, we can find the optimal solution.
After performing the calculations, the solution is as follows:
a = 200 (Number of component A units produced each week)
b = 120 (Number of component B units produced each week)
c = 100 (Number of component C units produced each week)
Calculate the maximum profit:
Using the values obtained in Step 4, we can calculate the maximum profit:
Profit from component A units: 7 x 200 = $1400
Profit from component B units: 8 x 120 = $960
Profit from component C units: 10 x 100 = $1000
Total maximum profit: $1400 + $960 + $1000 = $3360
So, the company should manufacture 200 units of component A, 120 units of component B, and 100 units of component C each week to maximize profit, resulting in a maximum profit of $3360.
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PLEASE HELP now I really need to know
Answer:
Step-by-step explanation:
-2.5 + 5n - 1.5n
-2.5 + 3.5n
Option B is the correct answer
Answer:
B
Step-by-step explanation:
so first you got to solve the expression so -2.5(-1-2n)-1.5
−2.5(1−2n)−1.5n
Use the distributive property to multiply −2.5 by 1−2n.
−2.5+5n−1.5n
Combine 5n and −1.5n to get 3.5n.
your answer is −2.5+3.5n
if this is wrong then probably
solve the other expressions to see if u get the same answer
A system of linear equations is given by the tables. x y -1 1 0 3 1 5 2 7 x y -2 -7 0 -1 2 5 4 11 The first equation of this system is y = x + 3. The second equation of this system is y = 3x − . The solution of the system is ( , ).
Answer:
The first equation of this system is y =2 x + 3.
The second equation of this system is y = 3x −1 .
The solution of the system is (4,11).
Step-by-step explanation:
PLATO CORRECT
The solution of the system of equations are (4, 11).
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
The first equation of this system is y = 2x + 3.
The second equation of this system is y = 3x - 1
Now,
y = 2x + 3 _____(1)
y = 3x - 1 _______(2)
(1) = (2)
2x + 3 = 3x - 1
3 + 1 = 3x - 2x
x = 4
Now,
Putting x = 4 in (1) or (2)
y = 2 x 4 + 3 = 8 + 3 = 11
y = 3 x 4 - 1 = 12 - 1 = 11
Thus,
The solutions of the system are (4, 11).
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-5(-2 -8)=10+5m what’s the answer to this?
Answer:
m=8
Step-by-step explanation:
-5(-2 -8)=10+5m
10+40=10+5m -->distributive property
50=10+5m
50-10=10-10+5m--->canceling the 10
40=5m
m=8 (division property)
Is this correct, I chose A
Answer:
I’m pretty sure
Step-by-step explanation:
Answer:
good job
Step-by-step explanation:
A store has apples on sale for $28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $224.00
204.8 apples.
First you would find out how many ounces are in 8 pounds, which would be 128. then do 128/5 to get 25.6 < that would be how many apples are in 8 pounds. Next you would do 224/28 to find out how many of the 8 pounds you can buy for 224 dollars. so you get 8 from that. So now we do 25.6*8 to get 204.8 apples.
204 apples rounded down and 205 apples rounded up
What is 3x + -2x + 5 + -9
Answer:
x= -4
Step-by-step explanation:
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Answer:
19 cubes
Step-by-step explanation:
7/4 + 1 + 1 = 4.75
4.75 divided by 1/4 (0.25) is 19
The number of 1/4-cubes that will fill the given prism in the image is: 224 cubes.
What is the Volume of a Prism and a Cube?Volume of prism = length × width × height
Volume of cube = a³, where a is the side length of the cube.
Number of cubes that will fill the prism = volume of prism / volume of 1 cube
Volume of prism = 1 × 7/4 × 2 = 3.5 cm³
Volume of 1 cube = (1/4)³ = 0.015625 cm³
Number of cubes that will fill the prism = 3.5/0.015625 = 224 cubes.
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The 5th grade class of 2022 will go on a field trip to Tennesee. There will be 219 students and teachers attending the trip. Each bus seats 24 people. Will 9 bussews be enough for the trip?
Explain.
Answer:
No 9 bus is not enough you would need 10
Step-by-step explanation:
219/24=9.125
Lucy baked 12 cookies. She baked 6 more and split them up equally between herself and 2 friends. How many cookies did each person have? Which equation represents the problem?
Answer:
(12+6)÷3=x represents this problem.
Each person had 6 cookies.
Step-by-step explanation:
Lucy baked 12 cookies and then baked 6 more, which means the total number of cookies she baked is equal to 12+6.
Total number of cookies = 12+6
She then split them up equally between herself and her two friends, which means Lucy divided the (12+6) cookies among 3 people.
Let x be equal to the number of cookies each person had.
(12+6) cookies ÷ 3 people = the number of cookies each person had
(12+6)÷3=x
Therefore, the equation that represents this problem is (12+6)÷3=x.
To find the number of cookies each person had, we just have to solve the equation.
(12+6)÷3=x
18÷3=x
6=x
Therefore, each person had 6 cookies.
I hope this helps! Happy holidays :)
Answer:
I hope this helps.
Step-by-step explanation:
For which values of x would the list below be considered, "NOT a function"?
{(7, 8), (8, 5), (9, 2), (x, 0)}
Step-by-step explanation:
The values of x would be 7, 8 or 9.
Look at my most recent question (other than this one)
it has this pic:
Answer:
okay i will right now
(0,-1) (-2,3)
Determining an equation of a line. what's the answer? i rlly need help
Answer:
y=-2x-1
Step-by-step explanation:
The population of a country divided by its area determines its birth/death rate birth/death rate NIR. NIR. arithmetic density arithmetic density population doubling time. population doubling time. physiological density physiological density
Answer:
Arithmetic density.
Step-by-step explanation:
The correct answer is arithmetic density. This is because for a country, it is also known as real density and it's defined as the number of people per unit area of total land in that country.
Thus, the population of a country divided by its area determines its arithmetic density
Solve -8 = 2y – 2. Show your work and how to check your solution.
Answer:
y=(-)3
Step-by-step explanation:
(-)8+2=(-)6
(-)6/2=(-)3
Check:
((-)3x2)-2=(-)8
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 3. The perimeter of the triangle is 39. Find x.
X=
Answer:
The value of x is 5.
Step-by-step explanation:
Given that:
Base of triangle = b = x
Length of side of triangle = a = 4x-3
Perimeter = 39
In an isosceles triangle, two sides of the triangle are equal.
Perimeter of an isosceles triangle is given by,
P = 2a+b
Putting the values
39 = 2(4x-3)+x
39=8x-6+x
39=9x-6
39+6=9x
45=9x
9x=45
Dividing both sides by 9
[tex]\frac{9x}{9}=\frac{45}{9}\\x=5[/tex]
Hence,
The value of x is 5.
Twice the difference of a number and 9 is at least 17.
Answer:
x ≥ 12.5
Step-by-step explanation:
2(x-9) ≥ 17---Use Distributive Property
2x-18 ≥ 17
2x-18+18 ≥ 17+18
2x ≥ 25
2x/2 ≥ 25/2
x ≥ 12.5
I hope this helps!
what is a non linear graph?
Answer:
A non-linear graph is a graph that is not a straight line. A non-linear graph can be described by an equation.
Step-by-step explanation:
Answer:
a non linear graph is a graph that is not a straight line. it can be described by a equation
Step-by-step explanation:
expand the power of ten 4725
Which equation best models the set of data in this table?
Answer:
the answer is A
Step-by-step explanation:
The correct answer is option A which is y = 33√x + 32.7.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We will check the expression at the different values of x:-
y = 33√x + 32.7.
At x = 1
Y = 33 √1 + 32.7
Y = 33 + 32.7 = 65.7
At x = 2
Y = 33√2 + 32.7
Y = 79.36
By putting the value of x as input we are getting the almost same value of y given in the table.
Therefore the correct answer is option A which is y = 33√x + 32.7.
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The price of a trampoline before tax is $300. The salesvtax is 4%
Answer:
The total price is $312 and the sales tax is 12
Step-by-step explanation:
300 x 0.04= 12
300 + 12 = 312
A bakery sells 6350 muffins in 2010. The bakery sells 8310 muffins in 2015. Write a linear model that represents the number $y$ of muffins that the bakery sells $x$ years after 2010. The linear model is $y=$ .
Answer:
y = 392x + 6350
Step-by-step explanation:
Here, we calculate the average rate of change in the number of muffins sold between the two years
Mathematically that will be the difference in number of muffins divided by the number of years
We have this as;
(8310-6350)/(2015-2010)
= 392
an average of 392 muffins were sold in a year
The general form of the equation of a straight line is;
y = mx + c
we have m as 392
so;
y = 392x + c
To get c, we make a substitution
2015 is 5 years after 2010, so x will be 5 and y will still be 8310
so;
8310 = 392(5) + c
c = 8310 - 2960
c = 6350
So the equation is;
y = 392x + 6350
somebody help please
after this i will go to bed
Which of the following statements is true about the three quadrilaterals? (5 points)
1) E and Fare similar but not congruent.
2) E and G are similar but not congruent.
3) G and F are similar and also congruent.
4) E and G are similar and also congruent.
Ouestion 8 15 points)
Answer:
1 one os true
2 nd one is true
PLEASE HELP!!!!!! YALL WILL GET 100 POINTS
Answer:
??
Step-by-step explanation:
Consider △RST and △RYX.
Triangle R S T is shown. Line X Y is drawn parallel to side S T within triangle R S T to form triangle R Y X.
If the triangles are similar, which must be true?
StartFraction R Y Over Y S EndFraction = StartFraction R X Over X T EndFraction = StartFraction X Y Over T S EndFraction
StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction
StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction R S Over R Y EndFraction
StartFraction R Y Over R X EndFraction = StartFraction R S Over R T EndFraction = StartFraction X Y Over T S EndFraction
Answer:
B. [tex]\frac{RY}{RS}[/tex] = [tex]\frac{RX}{RT}[/tex] = [tex]\frac{XY}{TS}[/tex], must be true.
Step-by-step explanation:
Similar figures are figures whose angles and sides are similar with respect to a definite ratio when compared.
From the given question, note that ΔRXY is within ΔRST. Given that the two triangles are similar, then their sides can be compare in a form of ratio as:
[tex]\frac{RY}{RS}[/tex] = [tex]\frac{RX}{RT}[/tex] = [tex]\frac{XY}{TS}[/tex]
Therefore by comparing the length of sides of the triangles, option B must be true.
The dimensions of one of two triangles that are similar can be obtained
from the other triangle by multiplying by a scale factor.
The statement that must be true is; [tex]\displaystyle \underline{ \frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}}[/tex]Reasons:
The given relationship between the triangles are;
Line XY is drawn within ΔRST to form ΔRYX.
XY is parallel to ST
Given that we have;
Point X on side RT and point Y on side RS of ΔRST
ΔRST is similar to ΔRYX, we get;
The ratio of the corresponding sides are equal, which gives;
[tex]\displaystyle \frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}[/tex]
Therefore;
The option that gives the statement that must be true is; [tex]\displaystyle \underline{\frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}}[/tex]
which is the same as the option; StartFraction RY Over RS EndFraction =
StartFraction RX Over RT EndFraction = StartFraction XY Over TS
EndFraction.
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If a right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units, what would be the length of the other leg?
The length of the other leg of a right angle triangle is, 10.95 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units.
Now, By the Pythagoras theorem, we get;
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ 13² = 7² + Base²
⇒ 169 = 49 + Base²
⇒ Base² = 169 - 49
⇒ Base² = 120
⇒ Base = √120
⇒ Base = 10.95 units
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