+ 1 x 4
2-
ax + b
can be written as a single fraction in the form
X2 x + 2
x² - 4
where a and b are integers.
x+ 2 x -
Work out the value of a and the value of b.
Answers
[tex]2 - \frac{x+1}{x-2} - \frac{x-4}{x+2} = \frac{2(x-2)(x+2)}{(x-2)(x+2)} - \frac{(x+1)(x+2)}{(x-2)(x+2)} - \frac{(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2x^{2} -8-x^{2}-3x-2-x^{2} +6x-8 }{x^{2} -4} \\=\frac{3x+(-18)}{x^{2} -4}[/tex]
so : a = 3 b = -18
ok done. Thank to me :>
Related Questions
PLZ HELPPP ME
Point B has coordinates (3,2). The x-coordinate of point A is 0 . The distance between point A and point B is 5 units. What are the possible coordinates of point A?
Answers
Answer:
A (0, - 2 ) or A (0, 6 )
Step-by-step explanation:
Using the distance formula
d = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2 }[/tex]
with (x₁, y₁ ) = B(3, 2) and (x₂, y₂ ) = A(0, y )
AB = [tex]\sqrt{(0-3)^2+(y-2)^2}[/tex]
= [tex]\sqrt{(-3)^2+(y-2)^2}[/tex]
= [tex]\sqrt{9+(y-2)^2}[/tex]
Given AB = 5 then equating gives
[tex]\sqrt{9+(y-2)^2}[/tex] = 5 ( square both sides )
9 + (y - 2)² = 25 ( subtract 9 from both sides )
(y - 2)² = 16 ( take square root of both sides )
y - 2 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 2 to both sides )
y = 2 ± 4
Then y = 2 - 4 = - 2 or y = 2 + 4 = 6
Possible coordinates of point A are
A (0, - 2 ) or A (0, 6 )
The graph f(x)=(x+2)^2-7is translated 5 units left, resulting in the graph g(x). Which equation represents the new function, g(x)?
Answers
Answer: G(x)=(x-3)^2-7
Step-by-step explanation: Translated 5 units to the left is a negative change and a change in the X axis
The equation represents the new function, g(x) will be G(x)=(x-3)²-7. The correct option is A.
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
It is given that the graph f(x)=(x+2)²-7 is translated as 5 units left, resulting in the graph g(x).
Translated 5 units to the left are a negative change and a change in the X axis. The graph is also attached with the answer below.
The equation represents the new function, g(x) will be G(x)=(x-3)²-7.
To know more about translation follow
https://brainly.com/question/12861087
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Find the least common multiple of: 2v^2y^7 and 11v^4y^8x^3
Answers
Answer:
2v6y719x3
Step-by-step explanation:
(1): "x3" was replaced by "x^3". 2 more similar replacement(s).
STEP 1
Equation at the end of step 1
(((2v2 • y711) • v4) • y8) • x3
STEP 2
Final result :
2v6y719x3
solve pls brainliest
Answers
B is 5.4 I hope this help
Answer:
0.43%
5.4
Step-by-step explanation:
To convert 0.0043 to a percentage, multiply the number 0.0043 by 100
0.43%
In decimal form, 540 percent equals
5.4
Can somebody help ???
Answers
Answer:
2/5, a and b
Step-by-step explanation:
"15 is always equal to the product of a number and 5" translates to a mathematical equation.
O True
O False
Answers
Answer:
This is True
Step-by-step explanation:
I know this because it is like dividing you just divide 15 by 5 and the it will be equal
what are the similar triangles theorems
Answers
Answer:
AA (Angle Angle), SAS (Side Angle Side), SSS (Side Side Side)
Step-by-step explanation:
If
x
=
2
and
y
=
6
, evaluate the following expression:
3
(
3
y
−
4
x
)
Answers
A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation of the line that represents this cab company's rate?
Answers
well im guessing it the average highway speed 60 mph so it is $7
can someone help me with these 3 pls?
Answers
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
Answers
Answer:
x = -10 or 2
Step-by-step explanation:
Can someone help? This is so hard.
Answers
y equals 50° since there is a 90° and a 30°
Answer:
cos^-1 (9/15)
Step-by-step explanation:
Written as a rate, 15 miles in 10 hours would be ____ miles per hour.
Answers
Answer:
1.5 mph
Step-by-step explanation:
To find the Unit Rate, you need to divide 15 miles by 10 hours to get the # of miles per hour.
15/10 = 1.5
1.5 miles per hour.
On a certain hot summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that day?
Answers
Answer:
a = 242 adult and c = 52 children
Step-by-step explanation:
Solving as a system of equations.
a = adult
c = children
The adult and the children equal 294 people
a + c = 294
adult cost is 2.25 per adult
Total amount of adult is 2.25a because the number of adult are not given.
children cost is 1.75 per children
Total amount children is 1.75c because the number of children are not given
Total receipts $635.50.
a + c = 294 multiply by -1.75 -1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50 does not change 2.25a + 1.75c = 635.50
Add these equations together
-1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50
.50a = 121.00
a = 121.00/.50a
a = 242 adult
a + c = 294
242 + c = 294
c = 294 - 242
c = 52 children
Check: $2.25(242) + $1.75( 52) = $635 .50
$544.50 + $91.00 = $635.50
$635.50 = $635.50
10+5-7=3y
-10x+5x+5=-15
3x+2x-4x+10
pre algebra 8th grade math
Answers
Answer:
1) y=8/3=2 2/3 2) x=4 3) x+10
Step-by-step explanation:
1) 10+5-7=3y
Calculate the sum or difference.
8=3y
Swap the sides of the equation.
3y=8
Divide both sides by 3.
y=8/3=2 2/3
2) -10x+5x+5=-15
Collect like terms.
-5x+5=-15
Move the constant to the right-hand side and change the sign.
-5x=-15-5
Calculate the difference.
-5x=-20
Divide both sides by -5.
x=4
3) 3x+2x-4x+10
Collect like terms.
(3+2-4)x+10
Calculate the sum or difference.
1x+10
When the term has a coefficient of 1, it doesn't have to be written.
x+10
Hope this helps :)
How many prime numbers are there between 50
and 75?
Answers
Answer:
All the prime numbers between 50 and 75 are 53, 59, 61, 67, 71 and 73.
Step-by-step explanation:
Answer:
51 53 57 59 61 69 71 73 these are the prime numbers
What are the coordinates of point A?
o (5, 1)
(1, 5)
O (-1, 5)
Answers
Answer:
(1, 5)
Step-by-step explanation:
x is 1 to the right
y is 5 up
Therefor
(1, 5)
Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also gave her Skydiving Instructor a tip of $20. Define the unknown in the scenario and assign it a letter or symbol. math
Answers
Answer:
45+20=t t=65
Step-by-step explanation:
t is my assigned letter
Hope this helps
Which ordered pair is a solution of the equation?
7x-2y=-57x−2y=−5
Answers
Answer:
what ordered pairs?
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
The answer is G which is 16.
Step-by-step explanation:
To solve the problem multiply 25/125 times 80.
Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.
*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.
Answers
Answer:
A) $3100
B) $6700
Step-by-step explanation:
A)The first table entry is the value of the opening balance of Caroline's account.
$3100 was in Caroline's account when it was opened.
__
B)After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...
24 × monthly deposit + initial balance
= 24 × $150 + $3100 = $3600 +3100 = $6700
Caroline would have saved $6700 after 2 years.
Andrea has 473 scented stickers in her sticker book. How many tens of stickers does Andrea have?
7
40
47
70
Answers
Answer:
Andrea has 70
Step-by-step explanation:
7 is the tens place that would make it 70
Answer:
47
Step-by-step explanation:
Given:
473 scented stickers
To Find:
How many tens of stickers does Andrea have?
Solution:
To find the answer divided 473 by 10 = 47.3
That mean Andrea have 47 tens of stickers.
Therefore the answer is 47
A car's value depreciates by 18% in its first year and is now worth £6789.
What was the original price of the car?
Answers
Answer:
£8279.27
Step-by-step explanation:
The given relationship is ...
(original price) × (1 - 18%) = £6789
Dividing by the coefficient of the original price, we find it to be ...
original price = £6789/0.82 = £8279.27
The original price of the car was £8279.27.
This one as well, does anyone know the answer?
Answers
explain why the area of the circle is less than 4 square units
Answers
Answer:
50ithe distance between two cities X and Y is 50 km Ramesh travel from City a to city y by scooter with an average speed of 30 km per hour how long will it take him to reach city y
0.36 in simpliest form with the line over the 6
Answers
Answer:
11/30
Step-by-step explanation:
Let x = 0.366666666.....
Then
100x = 36.6666666....
10x = 3.6666666...
subtracting 100x - 10x eliminates the trailing 6s
90x = 33
divide both sides by 90
x = 33/90
reduce
x = 11/30
Find the value of x in the equation below. 15.4=x-13.9
Answers
Answer:
29.3
Step-by-step explanation:
2) Write the following equations in the statement form.
a) 2a + 7 = 15
b) 4m - 6 = 2
pls I need help
Answers
Answer:
A) a = 4
B) m = 2
Step-by-step explanation:
A) 2a + 7 = 15
2a + 7 - 7 = 15 - 7
2a = 8
2a/2 = 8/2
a = 4
B) 4m - 6 = 2
4m - 6 + 6 = 2 + 6
4m = 8
4m/4 = 8/4
m = 2
Answer:
a = 4 and m = 2.
a) Find the value of a if the total of a being doubled and added to 7 is 15.
b) Find the value of m if the total of m being multiplied by 4 and being subtracted by 6 is 2.
Step-by-step explanation:
2a + 7 = 15
→ Minus 7 from both sides
2a = 8
→ Divide both sides by 2
a = 4
4m - 6 = 2
→ Add 6 to both sides
4m = 8
→ Divide both sides by 2
m = 2
Please help ME for brainliest.
Answers
Answer:
Equation: -1.2y-4.2y=-3.78
Solved: y=0.7
Step-by-step explanation:
-1.2y-4.2y=-3.78
-5.4y=-3.78
y=0.7
I will take you up on your brainliest offer
find the unit rate for this problem
45 tacos for 15 people ______ to is per person
No link please!!!
Answers
Answer:
45/15 = 3
Step-by-step explanation:
3 tacos per person
Answer:
3 tacos for 1 person
Step-by-step explanation:
45 tacos / 15 people
Divide the top and bottom by 15
(45/15) / ( 15/15)= 3/1
3 tacos for 1 person