When x = 5 and y = 4, the expression [tex]x + (x^2 - xy) - y[/tex] evaluates to 6.
To evaluate the expression [tex]x + (x^2 - xy) - y[/tex] when x = 5 and y = 4, we substitute the given values into the expression and perform the
calculations:
[tex]x + (x^2 - xy) - y\\x= 5 + (5^2 - 5*4) - 4\\x= 5 + (25 - 20) - 4\\x= 5 + 5 - 4\\x= 10 - 4\\x= 6\\[/tex]
It's crucial to remember that the expression in question is not an equation that represents a graph, nevertheless. It is merely an algebraic expression that, given the values of "x" and "y," evaluates to a single value. We need an equation that connects 'x' and 'y' and specifies the relationship between them if we are to construct a graph.
Therefore, when x = 5 and y = 4, the expression [tex]x + (x^2 - xy) - y[/tex] evaluates to 6.
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Correct Question is:
Evaluate: [tex]x + (x^2 - xy) - y[/tex] if x = 5 and y = 4.
Which of the following ratios is not equivalent to the other two? * 1 1/2, 1:2, or 2 to 1
Answer:
1 1/2
Step-by-step explanation:
40 of the cats at the pet store are black, which is 25% of all cats. How many cats are there at the pet store
Answer:
There are 160 cats at the store.
Step-by-step explanation:
There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:
40 = 25%
40(4) = 25% (4)
160 = 100%
There are 160 cats at the store.
Answer:
160
Step-by-step explanation:
25%=1/4=0.25
=40×4
=160
Evaluate 12.3p+11.9r when p=7 and r=8.
HELP ME PLEASE
bsjsudhdhehe
Four points A, B, C, and d are on a number line, in some order, so that AB=1, BC=2, CD=3, and DA=4. Which two points are farthest away from each other?
Answer: B or C sorry if its wrong
Step-by-step explanation: have a nice day
Find x.
2x + 40
3x
4x
X + 50
x = [?]
y
Answer:
x=27
Step-by-step explanation:
Hey there!
the exterior angles of a quadrilateral add up to equal 360
so 360=2x+40+4x+3x+x+50
step 1 combine like terms
2x+4x+3x+x=10x
50+40=90
now we have
360=10x+90
step 2 subtract each side by 90
360-90=270
90-90 cancels out
now we have 270=10x
step 3 divide each side by 10
270/10=27
we're left with
x=27
Finley's pumpkin had a mass of 6.5 kilograms (kg) before he carved it. After carving it, the pumpkin had a mass of 3.9 kg
Answer:
[tex]\%Change = -40\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 6.5kg[/tex]
[tex]Final = 3.9kg[/tex]
Required
Determine the percentage change --- Missing from the question
This is calculated as
[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]
[tex]\%Change = \frac{3.9kg - 6.5kg}{6.5kg} * 100\%[/tex]
[tex]\%Change = \frac{-2.6kg}{6.5kg} * 100\%[/tex]
[tex]\%Change = \frac{-260}{6.5}\%[/tex]
[tex]\%Change = -40\%[/tex]
how many 5 digits numbers can be created using digits 1,2,3,7, and 6 without repeating any digits within that 5-digit number?
There are 5 numbers that can be used.
The first digit can be 1 of 5
The second digit can be 1 of 4
The third digit is 1 of 3
The fourth digit is 1 of 2
The fifth digit is 1 of 1
Total digits that can be created = 5 x 4 x 3 x 2 x1 = 120
Six more than five times a number
Answer:
? = 5n + 6
Explanation:
Answer:
5x + 6
Step-by-step explanation:
Let the number = x. 5 times x = 5x. So, the equation 5x + 6.
What is the solution to the following system of equations?
3x + 2y = 30
y = x + 5
Answer:
D
Step-by-step explanation:
Answer:
I think this one is C
Step-by-step explanation:
It seems like its counting by 5's and the answer to the first equation
In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?
Step-by-step explanation:
Given
GPA = NO + B1Study + B2work + B3leisure + B4sleep + u
1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168
2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.
3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.
GPA = b0 + B1Study + b2sleep + b3work + u
Story Problem:
Avery purchased 4 tacos and 2 burritos and her total cost was $21. Sasha purchased 4 tacos and 3 burritos
and her total cost was $26.50. What is the price of one burrito?
Answer:
Step-by-step explanation:
Let tacos be x and burritos be y
So, Avery purchased 4x+2y = 21
Sasha purchased 4x+3y = 26.5
Solving the 2 eqns:
4x+2y=21
-4x-3y=-26.5
-y=-5.5
The cost of one burrito is $5.5
Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.
Answer:
65 percent chance right
Step-by-step explanation:
so she opens it 13 out of 20 times, so divide 13 by 20 and you get it
Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12
Answer:
B. L and N
Step-by-step explanation:
Let's solve each system
✔️System L:
3x + y = 8 => Eqn. 1
x - 4y = -6 => Eqn. 2
x = -6 + 4y
Substitute x = (-6 + 4y) in eqn. 1
3(-6 + 4y) + y = 8
-18 + 12y + y = 8
-18 + 13y = 8
13y = 8 + 18
13y = 26
y = 26/13
y = 2
Substitute y = 2 into Eqn. 2
x - 4y = -6
x - 4(2) = -6
x - 8 = -6
x = -6 + 8
x = 2
Solution to system L = (2, 2)
✔️System M:
4x - 3y = 2 => Eqn. 1
5x - 4y = -30 => Eqn. 2
Multiply eqn 1 by 5, and eqn. 2 by 4
20x - 15y = 10
20x - 16y = -120
Subtract
y = 130
Substitute y = 130 into eqn. 1
4x - 3(130) = 2
4x - 390 = 2
4x = 2 + 390
4x = 392
x = 392/4 = 98
Solution to system M = (98, 130)
✔️System N:
4x - 3y = 2 =>Eqn. 1
2x - 8y = -12 => Eqn. 2
Multiply Eqn. 1 by 2, and eqn. 2 by 4
8x - 6y = 4
8x - 32y = -48
Subtract
26y = 52
y = 52/26
y = 2
Substitute y = 2 into eqn. 1
4x - 3(2) = 2
4x - 6 = 2
4x = 2 + 6
4x = 8
x = 8/4
x = 2
Solution to system N = (2, 2)
40.1 =
С C
+ 3.1
0.1
Answer:
1.876
because I said it was
PLEASE HELP ASAP
trigonometry
Answer:
5). x = 11.9°
6). x = 27.2°
Step-by-step explanation:
5). By applying cosine rule in the given triangle,
cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(32)° = [tex]\frac{x}{14}[/tex]
x = 14cos(32)°
x = 11.87
x ≈ 11.9°
6). By applying sine rule in the given triangle,
sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(54°) = [tex]\frac{22}{x}[/tex]
x = [tex]\frac{22}{\text{sin(54)}}[/tex]
x = 27.19°
x ≈ 27.2°
PLEASE PLEASE HELP!!!
These tables of values represent continuous functions. In which table do the
values represent an exponential function?
En una tienda de videojuegos venden, por la mañana, las 3/4 partes de los que tenían. Por la tarde vendieron 4/5 de los que le quedaban. Cuando cerró la tienda quedaron 200 videojuegos sin vender, ¿cuántos había al principio?, ¿cuántos vendieron por la tarde?
al principio había 10
y se vendieron por la tarde150
pls help asap
AABC ~ ADEF B. Х 8 А 'C E 3 6. D ' x = [?] Enter
Answer:
[tex] \boxed{ \tt{x = 4}}[/tex]
Step-by-step explanation:
[tex] \frac{3}{x} = \frac{6}{8} \\ 6x = 24 \\ x = 4[/tex]
Which pair of angles are complementary but not adjacent?
1
N
5
3
4
+
0 21 and 25
0 21 and 23
0 24 and 21
0 24 and 25
HURRY PLEASE
Answer: 1 and 3
Step-by-step explanation:
I got it right on edge 2021
Answer:
1 and 3
Step-by-step explanation:
Solve for x. 5000(2)^x = 3500(3)^x
Answer:
0.887966
Step-by-step explanation:
1. Divide by 3500
(5000/3500)(2^x) = (3^x)
2. divide by 2^x and simplify
10/7 = (3/2)^x.
3. apply 'ln' function
ln(10/7) = xln(3/2)
4. divide ln(3/2)
ln(10/7) / ln(3/2) = x
x = 0.87966
2 -7
-9
5
Given A=
and B-
6
1
-1
If X-A=B, what is X?
-2
O
7
0
-11
12
-2
-5
-7 -12
5
0
11-12
Answer:
it is b furqufhrfhquh quf hqhf
Step-by-step explanation:bfygefy eyfeyfyewfyefwef eqf
\fn qf7f
The value of the matrix X is X = [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex].
What are Matrices?Matrices are a set of numbers arranged in such a way that the numbers are arranged in rows and columns.
Each number is called element in a matrix.
Given are two matrices.
A = [tex]\left[\begin{array}{ccc}2&-7\\6&1\\\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}-9&5\\1&-1\\\end{array}\right][/tex]
We have given that, a matrix X exists such that,
X - A = B
We can rearrange this as,
X = A + B
Adding the two matrices,
The entries will be,
2 - 9 = -7
-7 + 5 = -2
6 + 1 = 7
1 - 1 = 0
X = [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex]
Hence the X is option A.
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Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?
find the least-squares regression line treating the FICO score, x, as the explanatory variable and the interest rate, y, as the response variable
Answer:
ŷ = -0.07637X + 61.36874
Step-by-step explanation:
Score, x :
545
595
640
675
705
750
Interest %, y:
18.982
17.967
12.218
8.612
6.680
5.150
Using the ordinary least square regression calculator :
The equation of best fit obtained is :
ŷ = -0.07637X + 61.36874
Slope = - 0.07637 (depicts a negative relationship between the variables).
Intercept = 61.36874
Score, X = explanatory variable ; Interest rate, Y = response variable
need help geometry question
Answer:
okay the answer 13.02 enjoy
2X-5<9 solve inequality
Step-by-step explanation:
2x<9+5
2x<14
2x/2<14/2
x<7
Answer:
[tex]\boxed {\boxed {\sf x <7}}[/tex]
Step-by-step explanation:
To solve the inequality you must isolate the variable, which is x.
[tex]2x-5 < 9[/tex]
5 is being subtracted from 2x. The inverse of subtraction is addition, so add 5 to both sides of the equation.
[tex]2x-5+5 < 9+5[/tex]
[tex]2x < 14[/tex]
x is being multiplied by 2. The inverse of multiplication is division, so divide both sides by 2.
[tex]\frac {2x}{2} < \frac {14}{2}[/tex]
[tex]x <7[/tex]
The solution to this inequality is x <7
The table shows values for the equations of a system:
What x-values are a solution to the system?
Select each correct answer
x=-3
x=-2
x=-1
x=0
x=1
x=2
x=3
According to the table, the solutions to the system of equations are x = 0 and x = 1.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are:
[tex]y_1 = 0.25^x[/tex]
[tex]y_2 = -0.75x + 1[/tex]
The solutions are the values of x for which:
[tex]y_1 = y_2[/tex]
Looking at the table, the solutions to the system of equations are x = 0 and x = 1.
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Question 7 (5 points)
(06.04 LC)
The equation of the line of best fit of a scatter plot is y = 8x - 1. What is the slope of
the equation? (5 points)
1)-8
2-1
3) 1
4) 8
Answer:
4) 8
Step-by-step explanation:
In the formula y = mx + b, m is the slope and b is the y-intercept
m = 8
b = -1
If m = 8 and m is the slope, then the slope is 8
Which equation represents a line which is parallel to the y-axis?
X=-4y
Y=x-3
Y=-7
X=-8
Answer:
x = -8
Step-by-step explanation:
If the line is parallel to the y axis, that means it will be a vertical line.
Vertical lines have an equation of x = , because the line will only go through one x value.
They also will not have a slope, because their slope is undefined.
So, the correct answer is x = -8
4 = x + 12 PLEASE HELP QUICK
Answer:
x= -8
Step-by-step explanation:
Move the terms
Calculate: -x=12-4 = -x=8
Change the signs