Answers
Answer:
D. [tex] \frac{22x + 48}{x^2 - 36} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{15}{x - 6} + \frac{7}{x + 6} [/tex]
Required:
Find its equivalent expression
Solution:
Add both fractions
Thus,
[tex] \frac{15}{x - 6} + \frac{7}{x + 6} [/tex]
[tex] \frac{15(x + 6) + 7(x - 6)}{x^2 - 36} [/tex]
[tex] \frac{15x + 90 + 7x - 42}{x^2 - 36} [/tex]
[tex] \frac{15x + 7x + 90 - 42}{x^2 - 36} [/tex]
[tex] \frac{22x + 48}{x^2 - 36} [/tex]
Therefore,
[tex] \frac{15}{x - 6} + \frac{7}{x + 6} = \frac{22x + 48}{x^2 - 36} [/tex]
Related Questions
13. What are the x-intercepts of
y = 2x2 + 6x - 20?
Answers
Answer:
x = -5, 2
Step-by-step explanation:
The first step to factor the equation is removing any factors/like terms that all of the variables share.
In the equation [tex]y = 2x^2+6x-20[/tex], all numbers are multiples of 2, therefore you can factor out 2 from to equation
[tex]y = 2(\frac{2x^2}{2} + \frac{6x}{2} -\frac{20}{2})[/tex]
[tex]y = 2(x^2+3x-10)[/tex]
Next, you can factor the equation in the parenthesis. Since x^2 is not multiplied by anything, you know that the factors of x^2 must be x and x. Therefore, the two factors of -10 must add up to 3. The only two factors of -10/x that add up to 3 are 5 * -2.
The factors of the equation are then (2)(x+5)(x-2)
Lastly, set up only the factors containing a x to 0 in order to solve for x-intercept.
x+5 = 0; x= 0-5 ; x = -5
x - 2 = 0; x = 0 + 2; x = 2
hello please!!! This is due in 5 minutes!
8(4x+9)
Answers
8(4x+9)= 32x+72
Step-by-step explanation:
You distribute the 8 to the 4x and vet 32x and then you distribute the 8 to the 9 and get 72
Answer:
32x+72
Step-by-step explanation:
what is the opposite of +43
Answers
Answer:
The opposite number of +43 is -43 , I hope this is helpful :)
Can someone help me I need help
Answers
Answer:
The answer would be C (The decimal form has 2 didgets that repeat :)
Step-by-step explanation:
Happy Holidays!
Answer:
It would be the second one
Step-by-step explanation:
If you divide them the 15 and 24 you get 0.625
So the decimal terminates after 3 digits
Another way to do it instead of being confused about what they mean by turn it in to a decimal. you can most of the time divide the 2 numbers and get your answer from there.
Hope this helped!!!!!!
anyone here a kpop stan?
Answers
Aa jaao saare ieu-vvkj-xra
Answers
Answer:
igjdvebdmfjh
Step-by-step explanation:
mark me as brainliest
This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.
A tank containing 35 gallons of water is leaking at a rate of math 14 gallon per minute. Write an expression to determine the number of gallons left in the tank after minutes.
Answers
Answer:
0.4
Step-by-step explanation:
35 ÷ 14 = 2.5
14 ÷ 2.5 = 5.6
5.6 ÷ 14 = 0.4
(sorry if I'm incorrect)
Answer:
w(t) = 35 - 14t, 0 ≤ t ≤ 2.5Step-by-step explanation:
Let the volume of water left in the tank be w and time be t, then the required expression is:
w(t) = 35 - 14tSince w is not negative, we should add the restriction of t ≥ 0 and:
0 ≤ 35 - 14t 14t ≤ 35t ≤ 35/14t ≤ 2.5 minSo the expression is valid for 0 ≤ t ≤ 2.5 min
The Cadet football team has a giant water cooler that is currently holding 60 quarts of water.
However, the water cooler develops a leak during the game, and is losing water at a rate of 4 quarts
per minute.
Part A: Write a function representing the amount of water, w(t), still in the cooler after t minutes.
Part B: how many minutes will it take for the cooler to be empty? The cooler will be empty after___ minutes
Answers
Answer:
Part A: w(t)=60-4t
Part B: w(15)=60-60=0
The cooler will be empty after 15 minutes.
Step-by-step explanation:
how can you test if a particular relation is a function or not?
Answers
Answer:
You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.
Step-by-step explanation:
Select the correct answer. What is the decimal form of 17%?
Answers
Answer:
0.17
Step-by-step explanation:
Brainliest me pls
Have a nice day!
653654755776+64746776765465-6564756775755x65667754544
Answers
Answer:
bruh finally
Step-by-step explanation:
Rename the following fraction in three different ways: 3/8
Please hurry
Answers
Answer:
3 2 6
— x — = —
8 2 16
3 3 9
— x — = —
8 3 24
3 4 12
— x — = —
8 4 32
2 - x + 3x - 20
What is the answer
Answers
Answer: 2x -18
Step-by-step explanation:
Combine like terms
2-20 = 18
3x-1x = 2x
Put in standard form x before reg number
Simplify the equation
6 – 6w + 6w + 9 + 10w
Please I need help with this I'm stuck
Answers
Answer:
10w+15
Step-by-step explanation:
-6w+6w+10w=10w
6+9=15
hope this helps. Happy Holidays
Help please
Driving on the highway, you can safely drive 70 miles per hour. Which of the following functions could be used to find how far you can drive in ‘h’ hours?
A.) D= 70/h. B.) D=70h. C.)h/70. D.)70+h
Answers
Answer:
B
Step-by-step explanation:
Explanation because that’s the answer
PLZ HELP I ONLY HAVE 5 MINUTES
Answers
Answer:
The answer is D
i need help solving this!
Answers
Answer:
x=45°
Step-by-step explanation:
Since the angle is acute it's half of a right angle.
Right Angle is 90°
So u divide the right angle By 2 (90°÷2) You would get 45°
0.44% of 375
Plz help me
Answers
Answer: 1.65
Step-by-step explanation:
(0.44:100)*375 =
(0.44*375):100 =
165:100 = 1.65
subtract the integer 14-17=
Answers
Answer:
14-17= -3
Step-by-step explanation:
Answer: 14-17=3
Step-by-step explanation: Use your brain ;-;
Select the correct answer.
What is |3 1/2| ?
A. -2/7
B. -3 1/2
C. 3 1/2
D. -2/7
Answers
Answer:
C
Step-by-step explanation:
|| is absolute value.
Absolute value is the distance away from 0.
|-1| is 1 point away from 0.
|1| is 1 point away from zero.
They both equal 1.
|3 1/2| is 3 1/2 away from zero so that is the answer.
Hope this helps!
|n| = 5
What is the value of n
Answers
Explanation: The reason it could be either is because the absolute value of an number is the positive version of that number wether it already is positive or was negative and those two lines you see beside the n is the symbol for absolute value. Say i have this |-3| the absolute value is 3. Also if I had this |3| the absolute value would still be 3. I really hoped this helped look on other sources too to confirm it!
Can someone help me on this work
Answers
1. All the sides are equal
2. Opposite angles are equal
3. Diagonal bisect each other at right angle.
4. Diagonal bisects the angle of the rhombus.
Hope you can solve the questions now:)
A wheel of a cart makes 2 revolutions per second. If the
diameter is 84 cm, find the speed in km/h
Answers
Answer:
19.0km/h (rounded to 3 s.f.)
Step-by-step explanation:
To find the speed, we need to find the distance travelled per second before finding the distance per hour (speed).
1 revolution = [tex]\pi[/tex] × 84
= 84[tex]\pi[/tex] cm
= 0.00084[tex]\pi[/tex] km
2 revolutions = 0.00084[tex]\pi[/tex] km × 2
= 0.00168[tex]\pi[/tex] km
1 second --- 0.00168[tex]\pi[/tex] km
1 minute --- 0.00168[tex]\pi[/tex] km × 60 = 0.1008[tex]\pi[/tex] km
1 hour --- 0.1008[tex]\pi[/tex] km × 60 = 6.048[tex]\pi[/tex] km
= 19.0 km (rounded to 3 s.f.)
6/7 * 6/7 equals please help
Answers
Answer:
36/42
Step-by-step explanation:
Which decimal is equivalent to ?
29/11
Choose 1 answer:
2.63
2.6363
2.63
2.6
Answers
Answer:
2.6364
Step-by-step explanation:
Need this fast please
Answers
Answer:
is this all the info?
Step-by-step explanation:
What property is used to rewrite 10x2 + 7y - 4x2 - 9y as 10x2 - 4x2 + 7y - 9y?
Commutative Property of Multiplication
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Answers
Answer:
.
..
....
...
Step-by-step explanation:.
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Can anybody help me with please. Use the equation f(x)= 5x-1, find f(3)
Answers
Answer:
14
Step-by-step explanation:
Plug in 3 where you see x
5(3)-1
15-1
14
why:
f(3) or any number is just a fancy way of saying x=3.
plug into the equation
3=5x-1
4=5x
divide your answers
.8
Use the discriminant to determine the real number of real solutions to the following quadratic equation Z*2-4z-16=0
Answers
Answer:
2 real roots because the discrimnant is greater than 0
Step-by-step explanation:
Which inequality is true?
Answers
Answer:
B is your answer
Step-by-step explanation:
