Answer:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
Step-by-step explanation:
Given
[tex]xy-4y+2x-8[/tex]
Required
Factor the expression
[tex]xy-4y+2x-8[/tex]
Group the expression
[tex](xy-4y)+(2x-8)[/tex]
Factor each group
[tex]y(x-4)+2(x-4)[/tex]
This gives:
[tex](y + 2)(x-4)[/tex]
Hence:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
Solve for x:
3x – 2(6 - x) = 7x + 2(5 + x) – 6
Answer:
-4
Step-by-step explanation:
3x-2(6-x)=7x+2(5+x)-6
First, distribute.
3x+ −12+ 2x = 7x + 10 + 2x −6
Combine like terms on each side.
5x − 12= 9x + 4
To solve for x, pick a side to solve. I will solve the right x.
5x - 12 = 9x + 4
-5x -5x
-12 = 4x + 4
Subtract 4 to isolate the variable.
-16 = 4x
Divide 4.
-4 = x
Find the inverse of the following function. g(x) = 1/x - 2
plz show work
A.) g^-1(x) = - 2/x-1
B.) g^-1(x) = 2/x-1
C.)g^-1(x) = 1/x+ 2
D.) g^-1(x) = 2/x+1
Answer: C. g^(-1) (x)= 1/(x+ 2)
Step-by-step explanation:
y=1/x-2
x=1/y-2
1/y-2=x
1/y=x+2
1=(x+2)y
1=xy+2y
xy+2y=1
(x+2)y=1
y=1/(x+2)
answer: g^(-1) (x)= 1/(x+ 2)
if sarah has 800 marbles and her teacher gave her 3,00 more and she have 100 to her 2 friends how much will sarah have??
Answer:
3600
Step-by-step explanation:
If she has 800 her teacher gives her 3000= 3800 and she gave 100 to both of her friends - 200 then she will have 3600.
Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia
three and two forths - one and two thirds =
3 2/4 - 1 2/3 =
Answer:
1.83333333333
Step-by-step explanation:
pls mark me brainliest
ok thanks :) :) :) :)
Which is the equation of a line perpendicular to the line with the equation:
y = -3x + 5
A. Y= -3x -7
B. Y= 3x + 2
C. Y= -1/3x - 1/2
D. Y= 1/3x - 1/2
Answer:
D- y=1/3x-1/2
Step-by-step explanation:
I believe that the slope needs to be opposite and the reciprocal
An environmental study was conducted. It reported that houses with more inhabitants do not necessarily produce more or less trash. What can be determined?
A. There is no correlation between number of inhabitants and amount of trash produced.
B. There is a correlation between number of inhabitants and amount of trash produced. However, there is no causation. This is because there is probably an increase in the amount of trash produced with an increase in the number of inhabitants.
C. There is a correlation between number of inhabitants and amount of trash produced. There may or may not be causation. Further studies would have to be done to determine this.
Answer:
C.
Step-by-step explanation:
There's no problem for now but it still needs to be monitored in case something might happen.
Estimate the value of 50.
O A. between 5 and 6
O B. between 6 and 7
C. between 7 and 8
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D. between 8 and 9
PLEASE HELPP
Answer: c
Step-by-step explanation: because 7 squared is 49 and 8 squared is 64
nvm i read the question wrong
Step-by-step explanation:
the person above is correct
PLZ HELP ME What shape is this cross-section?
Answer:
i'm not sure if i'm right but think is cube
A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?
Answer:
The difference is 10,400$.
Step-by-step explanation:
$61,000-$50,600=$10,400
Please please please help ill do anything
Answer:
Anything??
Step-by-step explanation: (Im joing btw didnt want to offend anyone lol)
x=40
david has twice as many cousins as becky
becky has twice as many cousins as nishat
nishat has 6 cousins
how many cousins does david have?
Nishat has 6 cousins
Becky has twice as many cousins, so that would mean Becky has 12 cousins
David has twice as many cousins as Becky, so David has 24 cousins
I feel bad for David
Find the vertex and focus of the parabola.
y^2 - 12y + 4x + 4 = 0
Answer:
Vertex: (8,6) Focus (7,6)
Step-by-step explanation:
32/4=8
Half of 12=6
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices. Of the devices checked, 84% are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.
The probability of an incorrect conclusion is,
In 84 % of inspection, [tex]7.56\%[/tex] of them labeled as not defective but they are actually defective
Probability :It is given that,
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices.
Of the devices checked, 84% are not defective.
Actual not defective is,
[tex]\frac{91*84}{100} = 76.44\%[/tex]
In [tex]84\%[/tex] of inspection,[tex]76.44\%[/tex] are actually not defective
But [tex]84- 76.44 = 7.56\%[/tex] of them labeled as not defective but they are actually defective
Learn more about Probability here:
https://brainly.com/question/24756209
PLEASE HELP
Consider the expressions (3m+2n−6) and (−4−6m+7n).
Part A
What is the sum of the expressions for n=−2 and m=5?
The sum is
Answer:
5, -20
Step-by-step explanation:
Given the equation (3m+2n−6) and (−4−6m+7n).
Also, given that we're told that
n = -2 and
m = 5, if we take a rather direct approach by substituting like for like, we have
(3m+2n−6) = (3 * 5 + 2 * -2 - 6)
(3m+2n−6) = 15 - 4 - 6
(3m+2n−6) = 15 - 10
(3m+2n−6) = 5
(−4−6m+7n) = (-4 - 6 * 5 + 7 * 2)
(−4−6m+7n) = -4 - 30 + 14
(−4−6m+7n) = -34 + 14
(−4−6m+7n) = -20
Therefore, we proceed to conclude that the answers are 5 and -20 respectively
Use the following information to answer the question. Bellei Extravecchio Balsamico Tradizionale is a very expensive brand of balsamic vinegar. A twelve ounce bottle typically costs two-hundred dollars or more. In a blind taste test, a group of food experts tasted three premium balsamic vinegars, with the most expensive one being Bellei Extravecchio Balsamico Tradizionale. When asked to pick the most expensive balsamic vinegar, 92 got it right and 76 got it wrong. Calculate the observed value of the chi-square statistic. Round to the nearest hundredth.
Answer:
The observed value of the chi-square statistic is 34.71
Step-by-step explanation:
Given the data in the question';
Calculate the observed value of the chi-square statistic
The chi-square statistic will be;
∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ]
here O[tex]_{i}[/tex] is observed frequency of [tex]_{i}[/tex]th class
E[tex]_{i}[/tex] is expected frequency of [tex]_{i}[/tex]th class
[tex]_{i}[/tex] = 1, 2 which denote the class of food experts who guess correctly and who didn't guess correctly
so
∈[tex]_{i}[/tex] = n × probability of not guessing correctly = 168 × 2/3 = 112
∈1 = n × probability of guessing correctly 168 × 1/3 = 56
so
∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ] = [ ( 92 - 56)² / 56 ] + [ ( 76 - 112)² / 112 ]
= 1296/56 + 1296/112
= 23.14 + 11.57
= 34.71
Therefore, the observed value of the chi-square statistic is 34.71
Consider the graph of Nintendo Switch owners in each city.
City Number of Owners Total Population
Indianapolis, IN 672 860,902
Reno, NV 220 247,680
Sacramento, CA 379 495,234
Columbus, OH 492 880,182
Tampa, FL 196 377,165
If Reno had the same number of Nintendo Switch owners as Columbus per capita, how many Nintendo Switch owners would Reno expect to have? (Round your answer to the nearest whole number)
Answer:
138.45
Step-by-step explanation:
it's correct.
Photo attached please help
What’s the answer pls
Answer:
Step-by-step explanation:
There is no bird on the spinner. therefore the answer is impossible because there is no bird.
Answer:
Impossible - There's no bird on the wheel.
Step-by-step explanation:
Prior to hosting an international soccer match, the local soccer club needs to replace the artificial turf on their field with grass turf. The grass turf will cost $ 6.75 per square meter. If the field is 0.101 km by 0.065 km, how much will it cost the club to add the grass turf to their field
Answer:
$44,313.75
Step-by-step explanation:
First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.
0.101 km * 1000= 101 meters
0.065 km * 1000 = 65 meters
Now we need to multiply these values together to find the area of the field
101m * 65m = 6,565[tex]m^{2}[/tex]
Finally, we need to multiply this area by the cost per square meter
6,565[tex]m^{2}[/tex] / 6.75 = $44,313.75
The total repair will cost $44,313.75
Write an algebraic expression for the word expression. the quotient of 10 times m and 7
Answer:
10m/7
Step-by-step explanation:
quotient means division so 10 times m is 10m
and then we will divide 10m and 7
10m/7
please mark as brainliest
Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?
Answer:
5m^2
Step-by-step explanation:
Given data
Length of board= 2.50m
Width of board= 2m
The cover need should have the same area as the board
Area= Length*Width
Area= 2.5*2
Area=5m^2
Hence the area of the cover is 5m^2
State the average rate of change for the situation. Be sure to include units.
The population of Felton was 2400 in 2013 and 2800 in 2017.
The population of Felton grew by
Tickets for a concert cost $4.00 for a balcony seat and $7.50 for an orchestra seat. If ticket sales totaled $1,585 for 300 tickets sold, how many more tickets for balcony seats were sold than tickets for orchestra seats? - thanks
Answer:there were 80 more tickets sold for balcony seats than for orchestra seats
Step-by-step explanation:
Step 1
Let number of tIcket for balcony be represented as x
and
Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be
X+ Y = 300--- equation 1
And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as
4x + 7.50y = 1585----- equation 2
Step 2
X+ Y = 300--- equation 1
4x + 7.50y = 1585----- equation 2
Multiplying equation 1 by 4 and subtracting from equation2
4x + 7.50y = 1585
-4x+4y= 1200
3.50y =385
y =385/3.50
y=110
To find x, when y=110
X+ Y = 300--- equation 1
x+110=300
x= 300-110= 190 tickets
balcony seats tickets = 190
orchestra seats tickets = 110
Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats
Rewrite the expression using the Distributive Property. Explain your answer or show your work.
6(x−4)
Answer:
6x - 24.
Step-by-step explanation:
Distributive Property is:
a(b + c)
= ab + ac
So for this expression
6(x - 4)
= 6*x + 6 * -4
= 6x - 24.
is that true that r is the set of counting numbers from 7 to 12 is in a roster notation
HELP QUICK ILL GIVE TOU BRAINLIEST
find the surface area...
Helppppppppppppp meeeeee
Answer:
9
Step-by-step explanation:
because 9 in a third is 3
3 + 12 is 15
9x2 is 18
and 15 is 3 less than 18
What is the measure of angle M?
Answer:
35°
Step-by-step explanation:
4x+11 = 5x-24
5x-4x=x
x=24+11
x=35
Write the percent as a fraction in simplest form.
36% =
Answer:
36%= 9/25 in fraction form (:
Answer:
36/100 sorry if wrong
Step-by-step explanation:
Summarize the process of solving a two-step equation.
Answer:
Solving Two-Step Equations
1) First, add or subtract both sides of the linear equation by the same number.
2) Secondly, multiply or divide both sides of the linear equation by the same number.
3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable