What is the correct form of the partial fraction decomposition for the expression StartFraction 13 x minus 7 Over (x + 2) (4 x minus 3) EndFraction?
StartFraction A Over x + 2 EndFraction + StartFraction B Over 4 x minus 3 EndFraction
StartFraction A Over x + 2 EndFraction + StartFraction B x + C Over 4 x minus 3 EndFraction
StartFraction A Over (x + 2) (4 x minus 3) EndFraction + StartFraction B Over (x + 2) (4 x minus 3) EndFraction
StartFraction A Over (x + 2) (4 x minus 3) EndFraction + StartFraction B x + C Over (x + 2) (4 x minus 3) EndFraction
The correct form of the partial fraction decomposition for the expression (13x - 7)/((x + 2)(4x - 3)) is;
Option B; [A/(x + 2)] + [(Bx + C)/(4x - 3)]
The given complex fraction is;
(13x - 7)/((x + 2)(4x - 3))
Now partial fractions are simply decomposition of complex fractions into simpler fractions. For example we want to decompose the complex fraction;
4/[(x - 1)(x + 5)]
The right format will be;
[A/(x - 1)] + [B/(x + 5)]
Applying this same pattern above to our question, we can decompose the fraction (13x - 7)/((x + 2)(4x - 3)) into;
[A/(x + 2)] + [(Bx + C)/(4x - 3)]
In conclusion, the correct answer is Option B.
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The correct form of the partial fraction decomposition for the expression (13x - 7)/((x + 2)(4x - 3)) is; Option B; [tex]\dfrac{A}{(x + 2)} +\dfrac{Bx + C)}{(4x - 3)}[/tex]
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The given complex fraction is;
(13x - 7)/((x + 2)(4x - 3))
Now partial fractions are simply the decomposition of complex fractions into simpler fractions. For example, we want to decompose the complex fraction;
4/[(x - 1)(x + 5)]
The right format will be;
[A/(x - 1)] + [B/(x + 5)]
Applying this same pattern above to our question, we can decompose the fraction (13x - 7)/((x + 2)(4x - 3)) into;
[A/(x + 2)] + [(Bx + C)/(4x - 3)]
In conclusion, the correct answer is Option B.
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Sally buys a certain brand of shampoo from a supplier at $9.25 per bottle. She marks it up 30%. What would the selling cost be ?
(YOU WILL ONLY GET THE POINTS IF YOU GIVE ME THE RIGHT ANSWER!!!)
Answer:
$2.775
Step-by-step explanation:
9.25*30%
Answer
2.78
this my explanation.Evaluate the following . 3^7 x 3^4
Answer:
Step-by-step explanation:
This is about the rules of indices.
Multiplication of number with powers are addition for example:
a^n × a^m = a^n+m
So 3^7 × 3^4
3^7+4
3^11
Adiosss
By the way if I'm wrong let me know
Answer:
3^11 or 177147 or 1.77147x10^5
Step-by-step explanation:
7+4=11
Help PLEASE!
Which statement is true about the equation 7(2+5x)=3x+14
7
(
2
+
5
x
)
=
3
x
+
14
?
The equation has infinitely many solutions.
The equation has infinitely many solutions.
The equation has no solution.
The equation has no solution.
The equation has one solution because x=0
.
Answer:
the first answer is correct Edge 2020
Step-by-step explanation:
Answer:
Step-by-step explanation:
-6
Four workers are repairing a bridge. Show the workers locations from highest to lowest position in relation to the roadway. worker 1 is 7 feet below the roadway worker 2 is 10 feet above the roadway worker 3 is 10 feet below the roadway worker 4 is standing on the roadway
Answer:
Worker 2 : 10 feets above roadway
Worker 4 : standing on roadway
Worker 1 : 7 feets below roadway
Worker 3 : 10 feets below roadway
Step-by-step explanation:
Given the question :
Four workers are repairing a bridge. Show the workers locations from highest to lowest position in relation to the roadway. worker 1 is 7 feet below the roadway worker 2 is 10 feet above the roadway worker 3 is 10 feet below the roadway worker 4 is standing on the roadway
Worker 1 : 7 feets below roadway
Worker 2 : 10 feets above roadway
Worker 3 : 10 feets below roadway
Worker 4 : standing on the roadway
Highest to lowest position in relation to the bridge :
Worker 2 : 10 feets above roadway
Worker 4 : standing on roadway
Worker 1 : 7 feets below roadway
Worker 3 : 10 feets below roadway
What is the constant proportionality between y and x in the graph?
Answer:
The x value is directly proportional to the y value such as in the equation y = kx.
For what of x is the equation 2(x - 12) + x = 36?
Answer:
The answer is J. 20 substitute it in and it works.
Answer:
J.20
Step-by-step explanation:
which relation is a function of x
Answer:
f(x)=y.
Explanation
In a function, f(x) means "the function of x". For example, f(x)=2x is the same thing as y=2x. But f(y) would be something different entirely, because that would be using the function definition to change the y-value.
2. A package delivery service has a truck that can hold 4200 pounds of cargo
and has a capacity of 480 cubic feet. The service handles two types of
packages: small, which weigh up to 25 pounds each and are no more than 3
cubic feet each; and large, which are 50 pounds each and are 5 cubic feet
each. The delivery service charges $5 for each small package and $8 for each
large package. Let x be the number of small packages and y be the number of
large packages in the truck. What is the maximum revenue per truck?
Answer:
$680
Step-by-step explanation:
Capacity of the truck: 4200 pounds and 480 cubic feet of cargo.
Small package: 25 pounds and 3 cubic feet each.
Large package: 50 pounds and 5 cubic feet each.
For x number of small packages:
25x pounds and 3x cubic feet
Let x = 8,
200 pounds and 24 cubic feet.
For y number of large packages:
50y pounds and 5y cubic feet
Let y = 80,
4000 pounds and 400 cubic feet.
Since delivery service charges $5 for each small package and $8 for each large package.
The maximum revenue per truck = ($5x + $8y)
= ( $5 x 8) + ($8 x 80)
= $680
If two lines are parallel, which statement must be true?
Answer:
C. Their slopes are equal.
Step-by-step explanation:
Given : If two lines are parallel.
To find : which statement must be true.
Solution : We have given that If two lines are parallel.
We know that two parallel line have same slope
By rise over run :
Therefore, C. Their slopes are equal
Step-by-step explanation:
Answer:
Their slope is equal
Step-by-step explanation:
Their equal because they'll both be the same length, and I got it right
Find the probability of drawing a white ball from a bag containing 4 white
and 6 black balls.
Answer:
0.4 or a 40% Chance. Because its 4/10.
What set of numbers are equivalent to 75%
Answer:
Decimal= .75
fraction= 75/100; 3/4
Step-by-step explanation:
Answer:
well depends what are we supposed to use fractions? if fractions the answer is 3/4
Step-by-step explanation:
Which expression is equivalent to
60x^20y^24/30x^10y^12
.?
y
a) 2x²2
b) 2x1°y 12
c) 30x²y2
d) 30x10,12
Answer:
[tex] 2x^{10}y^{12}[/tex]
Step-by-step explanation:
[tex] \huge \frac{60x^{20}y^{24}}{30x^{10}y^{12}} \\ \\ = \huge \frac{2x^{20}y^{24}}{x^{10}y^{12}} \\ \\ = \huge 2x^{(20 - 10)}y^{(24 - 12)}\\ \\ = \huge 2x^{10}y^{12}[/tex]
C. How can you tell by just looking at the coefficients of -2x2 and 2x2 that the terms will add to zero?
Answer:
-2x^2 + 2x^2 is equal to zero, -2+2=0 the negative 2 cancels the positive 2
Step-by-step explanation:
Please show all work.
Answer:
wait where is the photo?
Step-by-step explanation:
if x equals 3 cubed what does this problem equal 2x= If x = 33:
2x = ?
Answer:
2x = 54
Step-by-step explanation:
The given information;
x = 3^3
solve
x = 27
(beacuse 3^3 = 3 * 3 * 3 = 27
find 2x:
2x = 2 * x
x= 27
2 * 27 = 54
2x = 54
how much money is six dimes worth???
Answer: 60 cents
Step-by-step explanation: 1 Dime= 10 cents; 10x6= 60.
Answer: 60 cents.
Step-by-step explanation:
One dime is worth 10 cents. Therefore, if you have six of them it's simple repeated addition
10+10+10+10+10+10
or simple multiplication.
10(6)
Which are both the same exact thing.
So six dimes are 60 cents. Hope that helps!!
From the sum of 3x +4y -3xy and 5x +3y -2xy subtract the sum of 2x +y – 3xy and 10x -9y -8xy.
Can someone please help me with this math problem I will give them Brainlist
Answer:
noooooo thx
Step-by-step explanation:
answer my question plz
Answer:
The 2 above the 10 is called a power. It means 10 times itself twice. So 10 times 10 is 100. 3050/100=30.5
Step-by-step explanation:
John has a piece of clay that
weight 12 pounds. He divides the
clay into 5 equal pieces. How much
does each piece weigh?
Answer: 2.4
Step-by-step explanation:
10 divided by 5 = 2
2 divided by 5 is .4
2 + 0.4 = 2.4
Hope this helps!
for a small party of 12 people, the caterer offered a choice of a steak dinner for $12:00 per or a chicken dinner for $10.50 the final cost for the meals was 138:00. how many of each was ordered?
Answer:
let the $12 dish be x and the other y
x + y = 12 <--- 1
12x + 10.50y= 138 <--- 2
multiply equation 1 by 12
so now we have
12x + 12y = 144
12x + 10.50y = 138
now subtract each one and that cancels out x
1.5y = 6
y = 4
now subsitute that into any equation
x + 4 = 12
x = 12 - 4
x = 8
This needs to be answered for a number line
-9=4x+3
Answer:
X=-3
Step-by-step explanation:
To find the unknown variable: X, we need to see how mich 4x equals to. to do this, we must first subtract 3 from both sides of the equation. The left side will be left with -12, and the right side will be left with 4x. This means:
-12=4x So...
x=-3
To check if this is right, you can subsitute this back into the equation.
4 times -3= -12. -12=3=-9
1. The number of questions that students missed on a 50 question science midterm is
represented by the box-and-whisker plot below.
Which of the following statements is most likely to be true?
If the lowest grade of an A is an 88% then about 25% of the students earned an A.
About 25% of the student failed the exam.
About 75% of the students scored between 80% and 88% and earned a B.
If the lowest passing grade is 60% then some students failed the exam.
NO ITS IF THE LOWEST GRADE IS AN 88 THEN 25 PERCENT EARNED AN A IM SO SORRY
Answer:
If the lowest grade of an A is an 88% then about 25% of the students earned an A
Step-by-step explanation:
got it right on quiz
John's wants to open a bank account with $100. He will have to pay a service fee of $5 per month to keep it open. Let y represent the amount of money in his account and x represent the number of months.
Answer:
y+5x
Step-by-step explanation:
Y is the start so you have to add that to the amount of money total for all of the months and to get the total of the months you have to multiply 5 by the number of months he had the account open
which do you prefer COD 1 COD 2 or COD 3
Answer:
cod 3 my dude
N entry level technical writer's annual pay is $55,068 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its technical writers. If the firm cuts the work year to 51 weeks but keeps the same rate of pay, how much should the technical writer expect his annual pay to decrease? Round your answer to the nearest dollar.
Answer:
The technical writer should expect his annual pay to decrease by $1,059
Step-by-step explanation:
52 weeks = $55,068
51 weeks =
Cross Multiply
51 weeks × $55,068/52 weeks
= $54009
The writer will be paid $54009 for 51 weeks
His pay reduced by:
$55,068 - $54,009
= $1,059
. Mr. Lorenzo gave his 2 sons $50 to buy a cooler. The total cost for the cooler is $44. Mr. Lorenzo told his sons that they could each have an equal share of the change they receive. The equation shown can be used to determine s, the amount of money each son should receive in dollars. S = (50 - 44) 2 What amount of money is represented by s ?
Answer:
S=$3Step-by-step explanation:
Given that the cost of cooler is $44
money given to the two sons $50
let S represent the amount the two son will have to share equally
the change is 50-44=6
=$6
Then s=6/2=$3
applying with the expression directly we have
S = (50 - 44)/2
S = (6)/2
S=$3
Which of the following statements best describes the value of the expression 5x – 4 when x = 1?
Answer:
1
Step-by-step explanation:
5 multiplied by 1 is 5. Subtract 5 by 4 and you have your answer.
How many quarts are in 583.7 liters?
Answer:
616.788
OR
616.79 (rounded answer)
Step-by-step explanation:
Answer:
616.78891
Step-by-step explanation:
1 liter is 1.05669 quarts
Good luck!
