Answer:
(2x - 3)/(x +4)
Step-by-step explanation:
Given the expression 4x^2 - 9/2x^2+11x+12
Simplify the numerator
4x^2 - 9 = (2x)^2 - 3^2
Recall that a^2 - b^2 = (a-b)(a+b)
Hence 4x^2 - 9 = (2x - 3)(2x + 3)
The denominator
2x^2+11x+12
Factorize
2x^2+11x+12 = 2x^2+8x + 3x+12
=2x(x + 4) + 3(x + 4)
= (2x + 3)(x + 4)
Hence
4x^2 - 9/2x^2+11x+12 = (2x - 3)(2x + 3)/(2x + 3)(x + 4)
= (2x - 3)/(x +4)
Mr. Jenkins is buying paint to paint the garage wall. He needs to know the area of the wall in order to know how much paint he will need to buy. The wall is 24 feet wide and 12 feet tall. What is the area of the garage wall?
Answer:
288
Step-by-step explanation:
just multiply its height by its width let me know if im wrong or not please
Answer:
i think c
Step-by-step explanation:
Triangle ABC is similar to Triangle XYZ.
Solve for x and y
Prove that the sum of five consecutive natural numbers is even.
pls explain briefly and pls help it has 14 pts
Answer:
Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5
Pls help me find KL!!!!!
Answer:
[tex]Solution,\\The~all~sides~of~rhombus~are~equal.\\So, ~DM = DK\\or, 5y+2=3y+6\\or, 5y-3y=6-2\\or, 2y=4\\or, y=2\\We~have, DM=KL=5y+2 = 5(2)+2=12\\[/tex]
∴[tex]KL = 12[/tex]
Use a net to find the surface area of the open cylinder with only one base. Use 3.14
(round to the nearest tenth as needed)
Answer:
706.5 cm²
Step-by-step explanation:
Surface area of the open cylinder with only one base = surface area of cylinder - area of one of the base
= 2πr(h + r) - πr²
Where,
r = 9 cm
h = 8 cm
π = 3.14
Plug in the values into the equation
Area of the open cylinder with one base = 2*3.14*9(8 + 9) - 3.14*9²
= 56.52(17) - 254.34
= 960.84 - 254.34
= 706.5 cm²
Write an equivalent
measure in yards to to
126 in.?
1 ft = 12 in.1 yd = 3 ft
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes
Answer:
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In this question, we have that:
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]
(a) What is the probability that more than three customers arrive in 10 minutes
This is P(X > 3). So
[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Can someone give me the answer asap
Answer:
https://brainly.in/...,..,
Answer:
38.4895cm²
Step-by-step explanation:
area of a circle with r=7
3.142×7² = 153.958
153.958/4 = 38.4895
which of the following equations will produce the graph shown below?
Answer: x-1/8y^2=0
Hope this helps any !
what is the square root of 36
Answer:
6 !
Step-by-step explanation:
since 6 x 6 = 36, the square root is 6 !
square root is when u multiply two same numbers for the output... so like 49 would b 7, since 7 x 7 = 49 !!
im not sure if that makes any sense, but i hope it helps !!
The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Wow a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables if this function.
Answer:
The maintained speed while hiking= 3 miles per hour
Let t be the time which represent the independent variable.
Also we know that Distance= Speed × Time
⇒ Distance traveled while hiking=3 ×t=3t
Let h represent the distance function in miles, and h(t) the dependent variable.
Then h(t)=3t
When we put t=4
Then h(4)=3×4 =12 miles.
Step-by-step explanation:
Bro hazel, kris, trey, Eli, sowwy help
Answer:
? there is no picture.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ummm
Select all expressions that are equal to 64 3/2
Which statement best explains the relationship between
lines AB and CD?
They
Le
parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.
Answer:
A. parallel because their slopes are equal.
Step-by-step explanation:
because parallel means matching
meaning they have the same slope
r f(x)
--2-1
-11-3
0-5
1-7
Which function rule defines f(x)?
Answer:
B. f(x) = -2x - 5
Step-by-step explanation:
✔️Find the rate of change:
Rate of change using two of the given pair, say (0, -5) and (1, -7)
Rate of change (m) = ∆f(x) / ∆x = (-7 -(-5)) / (1 - 0) = -2/1 = -2
✔️Find y-intercept (b):
y-intercept (b) = -5 because the y-intercept is the value of f(x) when x = 0.
✔️Substitute m = -2 and b = -5 into f(x) = mx + b
Thus,
f(x) = -2x + (-5)
f(x) = -2x - 5
:((((((((((((( i need help
Answer:
5d
Step-by-step explanation:
Every member pays 5 dollars. So the number will multiply by 5 everytime a member pays.
I need some help with this
Answer:
(3) Median
Step-by-step explanation:
I would say median because it most likely wouldn't be any of the others. Mean would be thrown off with the outlier 0.80. Mode wouldn't really work for this. I don't think standard deviation would work because this isn't coninuous data.
Hope it helps and is correct!
20 is 80% of what number?
Answer:
25 is answer.
80% of x=20
x=20×100/80=25
3. Amanda's computer weighs 56 ounces.
How many pounds does it weigh?
The answer is 3.5 pounds
There are 4 cups of flour in 3 batches of cookies . How many cups are in one batche.
Answer: Around 1.33 Cups per batch
Step-by-step explanation:
4 / 3 ≈ 1.33
Answer:
1 1/3
Step-by-step explanation:
Math
'Here are 5 number cards, '2' '5' '7' '8' '9'. One of the cards is removed and the mean average of the remaining 4 cards is 6. Which card was removed (Please show your working).
Answer:
9
Step-by-step explanation:
'Here are 5 number cards, '2' '5' '7' '8' '9'. One of the cards is removed and the mean average of the remaining 4 cards is 6. Which card was removed (Please show your working).
the equation of the line please
Answer:
x = 4
Step-by-step explanation:
The line is a vertical line. The equation of a vertical line is represented as x = k.
Where, k is the point at where the line intercepts the x-axis.
In the graph given, the line intercepts the x-axis at 4. k = 4.
Therefore the equation of the vertical line would be:
x = 4
Amanda is a sunflower farmer. Her farm is in the shape of a parallelogram with a height measuring 13 kilometers and a base measuring 12 kilometers. What is the total land area Amanda uses?
Answer:
156
Step-by-step explanation:
To find the area of a rectangle you have to to base x height. Its the same with parrallograms becase most of them look like the attached image. If you simply take one of the triangles off one side and put it on the other it becomes a rectangle. This was the formula A= bh still works.
what is ( 7v + 5 ) – ( 2v + 2 )
Answer:
5v+3. I hope I helped :'D
Steps for answer!
1. Remove parentheses.
7v+5-2v-2
2. Collect like terms.
(7v-2v)+(5-2)
3. Simplify.
5v+3
Select the correct answer. Consider these functions: f(t)=-312 + 51 g(t) = 12 + 2 What is the value of Alg(-2))? A. -28 OB. C. 12 OD 146
Answer:
It is c.12
Step-by-step explanation:
I just took the test(Plato)
Help.
Which graph represents the solution to 5 times a number, n, is less than 65?
Answer: help
Step-by-step explanation: I need help too
Enter an answer in the response box that correctly fills in the blank.
Rebecca spent $5.95 on 7 cookies. Rebecca spent $
Round your answer to the nearest cent if necessary.
per cookie
Answer:
Step-by-step exRebecca spent $5.95 on 7 cookies. Rebecca spent $
Round your answer to the nearest cent if necessary.
per cookieplanation:
The bowl has a diameter of 10 inches. What is its radius?
Answer:
r = 5 inches
Step-by-step explanation:
because if your trying to find the radius from the diameter you divide by 2
A sum of money was divided bety
Mary and Dónal. Mary got of 5/8
he money and Dónal got the res
Dónal got €2:40, how much did Mary get
Answer:
4.00
Step-by-step explanation:
each one of the eights is 80 cents. the way to figure it out was to just divide it by 3 or in a different place however many fractions you have/need.
If you want to unload a low interest rate bond, you would have to sell your bond at a premium
True or false
Answer:
true
Step-by-step explanation: