+ 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
solve the equation: -5x+12=20
Answers
-5x + 12 = 20
-5x = 20 - 12
-5x = 8
x = -8/5
Line m passes through points (10, 7) and (3, 4). Line n is parallel to line m . What is the slope of line ?
Answers
Answer:
The slope is 3/7 or ~0.43
Step-by-step explanation:
The equation for slope is y2-y1/x2-x1
7-4=3
10-3=7
3/7=0.428
15 Brian spends 1 hours carving the parts for a model airplane. He
spends 3 times as long
assembling and painting the model. How
many hours does Brian spend carving, assembling, and painting
the model? Explain how you found your answer.
Publishing Company. Image
Answers
Answer:
4 hours
Step-by-step explanation:
1 hour x 3 = 3 hours
So Brian spent 3 hours assembling and painting the plane
However the question asks for the total time, so we would do:
1 hour + 3 hours to get 4 hours
So in total, Brian spent 4 hours carving, assembling and painting the plane
Hope this makes sense.
Lyla grew 16 flowers with 2 seed packets.
How many seed packets does Lyla need to have
a total of 40 flowers in her garden?
Assume the relationship is directly proportional.
seed packets
Help now.no spam.no links PLEASE HELP NOW.
Answers
Answer:
Lyla needs 5 seed packets to have a total of 40 flowers.
Hope this helps!
Step-by-step explanation:
16 / 2 = 8
Lyla can grow 8 flowers using 1 seed packet.
(5) 8 <- (5) 1
40 <- 5
Lyla can grow 40 flowers using 5 seed packets.
HELP ASAP WILL GIVE BRAINLIEST OR MORE POINTS
Answers
Answer:
the first option
Step-by-step explanation:
hope this help have a great rest of your night :)❤
Determine whether each function is even, odd, or neither.
f(x) = x²_9
g(x) = |x-3
f(x) = 22-1
g(x) = x + x2
Answers
Rule for even
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]
Rule for odd
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]
Here D_f means domain of function.#1
[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]
Take x=4[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]
[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]
Even function✓#2
[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]
Take x=2[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]
[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]
[tex]\\ \sf\longmapsto -g(2)=-1[/tex]
Odd function✓#3
[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]
Take x=3[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]
[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]
[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]
Odd function ✓#4
[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]
Take x=1[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]
[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]
[tex]\\ \sf\longmapsto -g(1)=-2[/tex]
Neither✓solve pls brainliest
Answers
7/40 written as a decimal is 0.175
The answer is 0.175 So easy
IM FAILLING PLZ HELPPPPP MEEEE
Answers
Answer: (x+ 13, y+13)
Step-by-step explanation:
Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 6
Answers
Answer:
c.
took the test
Step-by-step explanation:
Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.
Answers
Answer:
Bridget was thinking of the number 592
correct??
Step-by-step explanation:
Please help thanks!!!
Answers
Answer:
[tex]a^{2}[/tex]
Step-by-step explanation:
Answer: ?
Step-by-step explanation:
help me please on my math I need All of this FACTORS and the LCM
Answers
Answer:
the LCM is :
1. 144
2.40
3.870
4. 63
5.216
6.150
7. 112
8.162
9. 96
10. 40
What is the value of x?
Answers
Answer:
x=23
Step-by-step explanation:
3x+4x+19=180 is the equation you would set up because the two angles added up would be 180 degrees.
:))
Help me please Research
Answers
Answer:
i think the details given for the question is in sufficient or question is wrong
Please help me please help meee
Answers
Answer:
A
Step-by-step explanation:
As it is 7 people that like blue
Bobbi wanted to purchase a shirt that had an original price of $38.99 at the store where she works. She gets an employee discount of 25%. How much will she need to pay for the shirt?
Answers
Answer:
29.2425
Step-by-step explanation:
25%=0.25
38.99 * 0.75 = 29.2425
i need this one fast too so if you can please help fast
Answers
Jasmine grandma gave her 7$to spend at a yogurt stand the frozen yogurt and toppings cost 0.45$ she also buys a bottle of water for $2.50 how many x-ounces of yogurt and toppings can jasmine afford?
A.x<4.3
B.x<10.0
C.x<15.6
D.x<21.1
Plz hurry!
Answers
Answer:
B
Step-by-step explanation:
solved using calculator.
7-2.50:4.5
4.5 - 0.45 is 10.0
ez dubs man
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.
What is the slope of the line that passes through the points (-9,10 ) and (-6,9 )?
Answers
Answer:
Step-by-step explanation:
(9-10)/(-6 - - 9) = -1/3
100 PTS! HELP QUICK!!
Answers
<=> 4x - 1 = 5 - 2x
<=> 4x + 2x = 5 + 1
<=> 6x = 6
<=> x = 1
Ok done. Thank to me:>
Answer:
x=1
Step-by-step explanation:
A rope is stretched tight between the tops
of two flag poles. One pole is 16 m tall, the
other is 8 m tall and they stand on level
ground 6 m apart. Find the rope's length.
m
Answers
Answer:
10 m.
Step-by-step explanation:
We have a triangle with hypotenuse h m (the rope's length) and one leg 16 - 8 = 8 m and the other 6 m.
So h^2 = 8*2 + 6^2 = 100
h = 10 m.
5. The dollar value of a moped is a function of the number of years, I, since the moped
was purchased. Tſie function, f, is defined by the equation f(t) = 2,500 - (1)'.
What is the best choice of domain for the function f?
A. -10 <1 <10
B.-10 <<0
C.O << 10
DO < t < 100
Answers
fingernails grow about 0.0123 centimetres per day. write this rate in scientific nation
Answers
Answer:
1.23 x 10^-2
(6,1),(7,2),(8,3) what is the range
Answers
Answer:
the range is 1, 2, 3
Step-by-step explanation:
Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10
Answers
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
Option → B
favorite food of 100 kapampangan sinigang 27
Answers
please help me i have until midnight. im really stressed
Answers
Answer:
15/2= 7 1/2 =7.5
Step by step
Step 1 of 2: Add.
Add
5 and 2 over 165
2
16
+ 2 and 3 over 82
3
8
= 120 over 16
120
16
Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
5 and 2 over 165
2
16
= ( 5 × 16 ) over 16
5 × 16
16
+ 2 over 16
2
16
= ( 80 + 2 ) over 16
80 + 2
16
= 82 over 16
82
16
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 3 over 82
3
8
= ( 2 × 8 ) over 8
2 × 8
8
+ 3 over 8
3
8
= ( 16 + 3 ) over 8
16 + 3
8
= 19 over 8
19
8
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
82 over 16
82
16
+ 19 over 8
19
8
= ( 82 × 1 ) over ( 16 × 1 )
82 × 1
16 × 1
+ ( 19 × 2 ) over ( 8 × 2 )
19 × 2
8 × 2
= 82 over 16
82
16
+ 38 over 16
38
16
16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
82 over 16
82
16
+ 38 over 16
38
16
= ( 82 + 38 ) over 16
82 + 38
16
= 120 over 16
120
16
Step 1 of 2: Add.Hide
Step 2 of 2: Simplify.
Simplify
120 over 16
120
16
= 15 over 2
15
2
= 7 and 1 over 27
1
2
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
120 over 16
120
16
= ( 120 ÷ 8 ) over ( 16 ÷ 8 )
120 ÷ 8
16 ÷ 8
= 15 over 2
15
2
8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
15 over 2
15
2
= 7 and 1 over 27
1
2
15 ÷ 2 = 7 remainder 1
work out the equation of the line which has a gradient of 1/2 and passes through the point (-4,2)
Answers
Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much does she use on 1 pizza. How much does she use on 15 pizzas.
Answers
Answer:
32.5
Step-by-step explanation:
10 ounces is in 4 pizzas so if we want 15 pizzas we need to count up
4 can not fit into 15 so we have to stop at 12 pizzas.
Now we need to add 3 pizzas
:Note: that one pizza is 2.5 of an ounce out of 10 ounces
so after you add the 3 pizzas you have 15 but that wasnt 4 pizzas so you have 2.5 ounces left over you add those ounces to the 30 you got from the 12 ounces which you have 30 and add it to the ounces left over
2.5 + 30 = 32.5