Not good with factoring could use a hand.
The only factoring you need to do is already done for you:
x² + x - 12 = (x + 4) (x - 3)
What you're asked to do is decompose
(3x - 4) / (x² + x - 12)
into partial fractions, i.e. find a and b such that
(3x - 4) / (x² + x - 12) = a / (x + 4) + b / (x - 3)
Multiply both sides by x² + x - 12 :
3x - 4 = a (x - 3) + b (x + 4)
3x - 4 = (a + b) x + (-3a + 4b)
So we have
a + b = 3
-3a + 4b = -4
and solving this system gives
a = 16/7 and b = 5/7
so you should submit the numbers in bold:
(3x - 4) / (x² + x - 12) = 16 / (7 (x + 4)) + 5 / (7 (x - 3))
You are planning a skating party at a rink that charges a basic fee of $6.00 and $6.50 per person for catered parties. You don't want to spend
more than $71.00. Write and solve an inequality to find the number of friends you can invite.
O a 6.5x + 6 2 71; x2 10
b 6.5x + 6 < 71, x <10
ос 6.5x + 6 > 71, x > 10
Od 6.5x + 6 S 71, XS 10
Answer:
y = 6.50x + 6 or 71 = 6.50x + 6
10 people are the max you can invite
Step-by-step explanation:
SOMEONE HELP PLEASEEEEEEEEE ASAPPP WILL MARK BRINLIESTTTT PLEASE HELP
Answer:
i think it is the first one
Step-by-step explanation:
Answer:
I just wanted to let you know i can not see the picture
Step-by-step explanation:
On a map in a geography textbook, the scale is 1 inch equals 60 miles.What is the actual distance for a map distance of 4 1/4 inches?
Answer:
255 miles
Step-by-step explanation:
if 1 inch is 60 miles then you need to times 60 miles by 4.25 which is the same thing as 4 1/4. you then get 255 miles.
Which graph represents y as a function of x?
Answer:
4th Option
Step-by-step explanation:
3 - 7x plus 2x when x =3
Answer:
-12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3 - 7x + 2x
x = 3
Step 2: Evaluate
Substitute in x: 3 - 7(3) + 2(3)Multiply: 3 - 21 + 6Subtract: -18 + 6Add: -12Answer:
if x is 3 then
3-7(3)+2(3)
-18+6
-12 done
Please help everyone trolling me
Answer:
3
Step-by-step explanation:
Which number should each side of the equation 45x=8 be multiplied by to produce the equivalent equation of x = 10?
-4/5
1/5
5/4
5
Please answer FAST!!!
Answer:
5/4
Step-by-step explanation:
45 × ? = 10
Answer:
5/4
Step-by-step explanation:
5x-3 /4=2x+3
Pls help
Answer:
x=-5
Step-by-step explanation:
5x-3/4=2x+3
First, multiply by 4
5x-3=4(2x+3)
Next, distribute.
5x-3=8x+12
Subtract 5x
-3=3x+12
Subtract 12
-15=3x
x=-5
Hope this helps :D
so
How would you write 6.5E4
A diamond ring that normally sells for $1,275 is on sale for $1,020. A ruby ring that normally sells for $290 is on sale for $203.
Answer:
what is the question?
Step-by-step explanation:
A software company in Lexington used to bill its clients $170 per hour for work done by its consultants. The company recently adjusted its hourly rate, making it 10% less. What is the new hourly billing rate?
Answer:
$168.3
Step-by-step explanation:
Step one:
Given data
initial billing rate= $170 per hour
the new billing rate is 10% less
Hence the rate reduction is
=10/100*170
=0.01*170
=$1.7
Step two:
Hence the new billing rate is
=170-1.7
=$168.3
if 0 Help needed asap!!
Answer:
then the test fails.
Step-by-step explanation:
HELP PLEASE I NEED IT FAST!!!!!!!!!
1. Use the clues to identify the location of the post office, hospital, mall, nail salon, park, pet store, library, and gas station. (7 points)
- The hospital is at letter c and makes alternate interior angles with the mall.
- The post office and hospital make same side interior angles.
- The mall makes a corresponding angle with the nail salon.
- The pet store and the gas station form alternate exterior angles.
- The pet store forms a vertical angle with the park.
Letter
_____ Gas station
__C__ Hospital
_____ Library
_____ Mall
_____ Nail salon
_____ Park
_____ Pet store
_____ Post Office
Answer:
can I get ful question........?
Answer:
Here is the full question
Step-by-step explanation:
Same question I answered it but I don’t know if it’s correct
Answer:
Yes it is correct
Step-by-step explanation:
A good way to know it's correct is the "three times a number" because that's how you would know it's 3x
A 9 feet tall dragon ice sculpture is melting at a rate of 1.75 feet per hour. Write a linear function that represents this scenario.
Answer:
[tex]y = 9 - 1.75x[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Height = 9ft[/tex]
[tex]Rate = 1.75ft[/tex] per hour
Required:
Determine the linear function
Let y represent the function and x represent the number of hours
The function can be represented with:
[tex]y = Initial\ Height- Rate * x[/tex]
We used minus (-) in the equation because the question indicates that the height of the sculpture reduces.
So, we have:
[tex]y = 9 - 1.75 * x[/tex]
[tex]y = 9 - 1.75x[/tex]
This graph shows the solution to which inequality?
A bottling machine fills 100 bottles in 150 seconds. How many minutes does it take the same machine to fill 1000 bottles?
Answer:
you have to have to put pp in girls wee wee and go in out and out ahhewgvfhbjnhvvvaef jcfvgfg
Step-by-step explanation:
A game lasts 7/8 hours.Charmaine played 5 of these games.
For how long did she play in total?
Write your answer in simplest form.
Answer:
4.4 hours
Step-by-step explanation:
PLSSS HELP MEEE ASAPP PLSSSS IM BEGGING U AND THANK U
Answer:
the 3 one
Step-by-step explanation:
Please help fast too easy questions for double the points I’ll give brainless also and 10 point!
Answer:
78.5
Step-by-step explanation:
add 1+2+3+4+5+6+7+100-56=78.5
It says find value of x?
Write the factor that corresponds to the zero: x=-7
Write the factor that corresponds to the zero: x=2
Write the zero that corresponds to the factor (10x-9)
Answer:
14
Step-by-step explanation:
Find the 9th term of the geometric sequence 9, 27, 81,
Answer:
You have to multiply the last number by 3. So 9 times 3 equals 27 and 27 times 3 equals 81 and so on. The answer would be 59,049
Step-by-step explanation:
I hope this helps!!
In square ABCD, diagonal DB is drawn. If the m
9514 1404 393
Answer:
x = 11
Step-by-step explanation:
The diagonal creates two isosceles right triangles, so ...
m∠CBD = 45°
3x +12 = 45
3x = 33 . . . . . . subtract 12
x = 11 . . . . . . . . divide by 3
What must be subtracted from the product of 25 and 23 to equal 275
300 must be subtracted from the product of 25 and 23 to equal 275.
The Music room has 23 chairs and 4 tables if the same number of chairs is placed at each table how many chairs will be placed at each table will there be any extra chairs
Answer:
5 chairs at each table with 3 left
Step-by-step explanation:
5×4 is 20 remainder of 3
At Leslie's school, the ratio of boys to girls is 11 to 12. At Mark's school, the ratio of boys to girls is 41 to 48. If both schools have the same total
number of students, which statement about the number of boys at Mark's and Leslie's schools is true?
A There are more boys at Mark's school than at Leslie's school because the ratio 11 to 12 is greater than the ratio 41 to 48.
B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
C. There are more boys at Leslie's school than at Mark's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
There are more have at lectia's chinoithan at Marvis erhont harnuce the ratio 11 to 17 i nreater than the ratin 41 m GR
Copyright 2020 illuminate Education, Inc. All Rights R
TI
INTL
САД
Answer:
ITS A
Step-by-step explanation:
if a right angle triangle has one side with 3cm and the other with 4cm how do i get the last side
Answer:
5cm
Step-by-step explanation:
It is the pythagorean Theorem and there is this special rule my teacher always told me to follow that means it is always 3, 4, and 5. Trust me, I had this problem before. It is 5cm just use the pythagorean theorem.
5x + 4 = -11 What could you do to further isolate the variable?
5x+4=-11
so subtract 4 from both sides
your left with
5x=-15
Divide 5 from both sides
x=-3