Answer:
-(x(2x squared-8x+3))/(x-1)(x+3)
Step-by-step explanation:
This can't be simplified very far, but the answer is above. Hope it helps!
The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
What is Simplification?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,
WE need to simplify the given;
[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]
3x² + 8x - 3 = (3x - 1)(x + 3)
x² - 9 = (x - 3)(x + 3)
Then;
[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]
Therefore,
[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]
[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]
[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]
[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]
Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
Learn more about simplification;
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JK has endpoints at J(5,9) and K(7, 7). Find the midpoint M of JK.
Write the coordinates as decimals or integers.
Answer:
[tex](6,8 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
[tex](\frac{5+7}{2},\frac{9+7}{2} )[/tex]
[tex](\frac{12}{2},\frac{16}{2} )[/tex]
[tex](6,8 )[/tex]
You spend 5/6 of your money on new clothes for school. The amount you spend on jeans for school is 2/5 of the total amount you spend on all your school clothes.
What fraction of money do you spend on jeans?
A. 7/30 on jeans
B. 10/30 on jeans
C. 1/3 on jeans
D. 5/30 on jeans
Answer:
C
Step-by-step explanation:
well when we multiply to get a common denominator we get 25/30 and 12/30 so the only possible answer is 1/3
What is the angle relationship?
Problem #1: A group of 5 people went white water rafting. They spent a total of
$1000. They made a deposit of $50 per person and paid $125 an hour to rent the
equipment needed. How many hours did they spend white water rafting? I
Problem #2:
$750
They spent 6 hours white water rafting.
$50x5=250
$250- $1000=$750
What number is 30 percent of 50
Answer:
15 (50*0.3)
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
0.3*50 = 15
A market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions
Answer:
The answer is "0.96562".
Step-by-step explanation:
please find the complete question which is defined in the attached file.
Given value:
[tex]\to p = 0.42 \\\\\to q = 1 - p[/tex]
[tex]= 0.58[/tex]
[tex]\to n = 400\\\\\to x = 150 \\\\\to P = \frac{X}{n}\\[/tex]
[tex]= \frac{150}{400}\\\\ = 0.377[/tex]
When:
[tex]\to P(P>0.375)\\\\[/tex]
[tex]=P(\frac{P-p}{\sqrt{ \frac{pq}{n}}}>\frac{0.375-0.42}{\sqrt{\frac{0.42 \times 0.58}{400}}})[/tex]
[tex]=P(Z>-1.82) \\\\=1-P(Z>1.82)\\\\=1-0.034380\\\\ =0.96562[/tex]
Consider the equation: x^2+10x-24=0 First, use the " completing the square " process to write this equation in the form ( x+D )^2 = E and enter the results below x^2 + 10x -24 = 0is equivalent to......? = ?
Answer:
[tex]x^2 + 10x -24 = 0 \: \\ is \: equivalent \: to \: ( x + 2) {}^{2} + 10x - 36=0[/tex]
Step-by-step explanation:
[tex]x^2 + 10x -24 = 0 \\ x^2 + 12x - 2x -24 = 0 \\x(x + 12) - 2(x + 12) = 0 \\ (x - 2)(x + 12) = 0[/tex]
2 times what equals 84
Answer:
42
Step-by-step explanation:
Let x be the missing number in the equation
Write out the equation: 2x = 84Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 42
I hope this helps!
60000 is how many times greater then 600
Answer:
100 times greater
Step-by-step explanation:
It is 100 times greater because 600*100 = 60,000
Hello Can someone help me please???
What is the factored form of 5x2 – 19x + 12?
A.) (5x – 3)(x – 4)
B.) (5x – 4)(x – 3)
C.) (5x – 12)(x – 1)
D.) (5x – 1)(x – 12)
Answer:
pretty sure its B
Step-by-step explanation:
hope this helps ;)
Solve the following inequality.
−1
Answer:
any thing, not 1 or -1
Step-by-step explanation:
the equality to any number is either itself or its opposite 1 inequality would be 2-infinite or -2- -infinite and zero
Solve -19x-1=-12x+34
Answer:
x=-5
Step-by-step explanation:
you're welcome
How can you write the expression 7b-2) in words?
Answer:
D :)
Step-by-step explanation:
Answer:
The answer is d
x/2.4+39=239
show work
Answer: x = 480
Steps: x/2.4 + 39 = 239
Subtract 39 from both sides: x/2.4 + 39 - 39 = 239 - 39
Simplify: x/2.4 = 200
Multiply both sides by 2.4: x/2.4 × 2.4 = 200 × 2.4
Simplify: x = 480
Plz mark brainliest:)
Please help me with this math question
A florist has 80 flowers. She ties 3 flowers together in each bunch. If she makes as many bunches of 3 flowers as possible, how many flowers are left over?
what integer represents a gain of $9
Miki bought some erasers at the school store for $0.39. After
paying for the erasers, she had $0.13 left. Which amount is a
reasonable estimate of the money Miki had to start with?
{(0, -8), (5,3), (-4,3), (9, 2)}
Does the following relation represent a function?
A.Yes
B.No
Answer:
Yes
Step-by-step explanation:
If you look at all of the x values: 0,5,-4,9
You can see that none of them repeat. This makes it a function.
Which set of numbers best describes the possible values of x in the equation below?
[x-1] = [x]
a. all integer values of x
b. all real number values of x
c. only negative values of x
d. only non-integer values of x
The set of numbers best describes the possible values of x in the equation is option c. only negative values of x.
Calculation of the possible values of x;Since the equation is
x - 1 = x
So, here the x should be canceled out
So, it should be like
0 = -1
Hence, we can say that
The option c is correct,
And, the rest of the options are incorrect.
Learn more about number here: https://brainly.com/question/14938106
tina eats 8 crackers for a snack each day at school. on Friday she drops 3 and only eats 5. how many did tina eat during the week?
Answer:
52
Step-by-step explanation:
8x5-3+5=?
Four students spent $12 on school lunch. At this rate, find the amount 10 students would spend on the same lunch.
Answer:
it's $30 I just know trust meO_o
Step-by-step explanation:
have an amazing day luv
Answer:
10 students would pay for lunch with $30.
Step-by-step explanation:
This is how I know $30 is the correct answer:
1. To figure out how much money it would cost for 1 student I would take the $12 the four students paid for lunch and divide it by 4 so we would know the exact cost for one students lunch (12/4=3 or $3)
2. Now we know $3 is the cost for 1 student. We can now multiply the $3 by 10 (students) so we can get the cost for 10 lunches (3(10)=30 or $30)
3. We got our final answer of $30=10 students lunches.
I hope this helps:)
Question Help
A local little league has a total of 70 players, of whom 80% are right-handed. How many
right-handed players are there
Answer:
The number of right-handed people = 56
Step-by-step explanation:
80% of 70 players = number of right-handed people
So, 80/100 x 70 = 56 players
Therefore, number of right-handed players = 56
Departure time: 6:15 am
Arrival time: 4:24 pm
Travel time: ?
Answer:
Airplanes
Step-by-step explanation:
Aviation is the Airplanes and they need to take off on their flight on their way for Visit! Welcome Aboard!
Answer:
10h and 9 min
Step-by-step explanation:
What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?
A. x = 0
B. y = x
C. y = 0
D. x = 1
Answer:
b
Step-by-step explanation:
Answer: D: y = 0
Step-by-step explanation: Hope that helped
angle 4 and angle 5 are ??? angles will mark brainiest
Answer:
Alternate interior
Step-by-step explanation:
They are inside making them interior angles and they are on opposite sides making them alternate angles as well.
Hope this helps!
Answer:
alternate interiorStep-by-step explanation:
alternate interior angles are congruent if and only lines are parallel.
∠4 ≅ ∠5
Write an equation in slope-intercept form of the line
4. with slope -6 that contains a point (8,-6)
Answer:
y=-6x+42
Step-by-step explanation:
answer is able
}−2x+2y=−4
{3x+3y=−18
find the solution to the systems of equations
Answer:
Answer=
x=(-2),y=(-4)
and in components form,
(-2,-4)
Step-by-step explanation:
equation1 (-2x+2y=-4)
equation2 (3x+3y=-18)
(times equation 1 by 3 and times equation 2 by 2, to make the y values equal to each other)
E1 (-6x+6y=-12)
E2 (6x+6y=-36)
(subtract both equations from each other)
-6x+6y=-12
-
6x+6y=-36
=(-12x=24)
so, x=24÷-12=-2
(then we sub the value of x into one of the equations- the new one or the old one)
3x+3y=-18
(3×-2)+3y=-18
3y=-18+6=-12
y=-12÷3=-4
can i have 300mn + 500mn =_________________________________________________________________________________________________i need help
Answer:
yes it would be 800mn
Step-by-step explanation:
If f(x) = 3x2 + 2x - 2, find f(8) - f(-5)
Answer: 143
Step-by-step explanation:
f(8) = 3(8)^2 + 2*8 - 2 = 3*64 + 16 - 2 = 192 + 16 - 2 = 206
f(-5) = 3(-5)^2 + 2*(-5) - 2 = 3*25 + (-10) -2 = 75 - 10 - 2 = 63
f(8) - f(-5) = 206 - 63 = 143