Answers
Answer:
The choose (D)
Step-by-step explanation:
[tex] \frac{x - 16}{ {x}^{2} + 6x - 40 } + \frac{1}{x + 10} \\ = \frac{x - 16}{(x - 4)(x + 10)} + \frac{1}{x + 10} \\ = \frac{(x - 16) + (x - 4)}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]
Related Questions
There are 35 times as many students at Wow University as teachers. When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty. How many students attend Wow University.
A. 237
B. 249
C. 8295
D. 8124
Answers
Answer:
C. 8296
Step-by-step explanation:
Answer:
c.8295
Step-by-step explanation:
8544-12 = 8532
8532-237 =8295
there are unspecified number of cows and hens in a den. if there are total of 30 heads and 80 legs in a den, find the number of cows and hens in a den.
Answers
Let x be the number of cow.
Number of hens=180-x.
Since cows have 4 legs and hens 2,
So, 4x+2(180-x)=420.
or, 4x+360–2x=420
or, 2x=420–360
or, 2x=60
or,x=30.
So, number of cows is 30.
Step-by-step explanation:
Hope this helps you^_^ Please mark as the brainliest.
find the inequality represented by the graph
Answers
Answer:
y < 5/2x + 5
Step-by-step explanation:
slope goes up 5, then over 2 ( 5 on top, 2 on bottom --> 5/2)
y intercept is +5
Answer:
Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y = x/2
if cos7x-cos8x/1+2cos5x=cos(ax)-cos(bx),where a,b are positive integers, then a²+b²=??
pls help! :(
Answers
Step-by-step explanation:
[tex]hope \: its \: helful[/tex]
if cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx), where a, b are positive integers, then a²+b²= 100.
The given equation is:
cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx)
The LHS can be expanded as follows:
cos7x - cos8x/1 + 2cos5x = (2*cos4x*sin3x)/(2*cos2x) = sin3x
The RHS can be expanded as follows:
cos(ax) - cos(bx) = -2sin((a + b)/2)*sin((a - b)/2)
For the given equation to be true, the following must be true:
sin3x = -2sin((a + b)/2)*sin((a - b)/2)
3x = 180(a + b)/2
3x = 180(a - b)/2
Solving for a and b, we get a=6 and b=3.
Therefore, a² + b² = 6² + 3²=100.
To learn more about positive integers, here
https://brainly.com/question/26051073
#SPJ2
kiro and lito were assigned the same book to read for a class. kiro started reading on Saturday, and he's reading 20 pages a day. Lito didn't start until Sunday, but he is reading 25 pages a day. How many days will it take Lito to catch up to kiro and how many pages will they have each read?
what system of equations represents this situation and how do you solve it?
Answers
I can solve this like any other equation. Firstly, I can subtract 20d on the left hand side to give me 20 = 5d. Then, I can divide by 5. This gives me 4 = d, or d = 4. This means that it takes Lito 4 days to catch up. I can then multiply 20 * 4 and 25 * 4 to give me 100 pages.
The system of equations is 20 + 20d = 25d, and the amount of pages they each read is 100.
Three men and six women are waiting to be interviewed for jobs. If they are all selected in random order, find the probability that all men will be interviewed first.
Answers
Answer:
1/84Step-by-step explanation:
Total people:
3 + 6 = 9Probabilities of men:
P(first man) = 3/9 = 1/3P(second man) = 2/8 = 1/4P(third man) = 1/7Required probability is:
P(first 3 men) = 1/3*1/4*1/7 = 1/84The number of days ahead travelers purchase their airline tickets can be modeled by an exponential distribution with the average amount of time equal to 15 days. Find the probability that a traveler will purchase a ticket fewer than ten days in advance. How many days do half of all travelers wait
Answers
Answer:
The right answer is:
(a) 0.4866
(b) 10.3972
Step-by-step explanation:
Let X be the number of days,
X is [tex]exp(\lambda)[/tex],
⇒ [tex]\lambda =\frac{1}{15}[/tex]
now,
⇒ [tex]F_x(x) = P(X \leq x)[/tex]
[tex]=1-e^{-\lambda x}[/tex]
[tex]=1-e^{-\frac{x}{15} }[/tex]
or,
[tex]x>0[/tex]
(a)
⇒ [tex]P(X<10)=F_x(10)[/tex]
[tex]=1-e^{\frac{10}{15} }[/tex]
[tex]=1-e^{\frac{2}{3} }[/tex]
[tex]=0.4866[/tex]
(b)
If the medium be m, then
[tex]P(X=m) = \frac{1}{2}[/tex]
[tex]=2^{-1}[/tex]
⇒[tex]1-e^{-\frac{m}{15} } = \frac{1}{2}[/tex]
[tex]e^{-\frac{m}{15} } = 2^{-1}[/tex]
[tex]m= 15\ ln2[/tex]
[tex]=10.3972[/tex]
Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?
Answers
Answer:
$19.68
Step-by-step explanation:
this is not really clearly defined.
I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.
x = what Marcia is paying
and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24
so,
x + x/2 + x/3 = 108.24
6x + 3x + 2x = 649.44
11x = 649.44
x = $59.04
Mario's part is x/3 = 59.04/3 = $19.68
Monica makes tomato sauce with the plants she grows in her garden. She uses 3 basil leaves in her sauce for every 8 tomatoes. She is making a big batch of sauce with 32 tomatoes from her garden.
Answers
Answer: 12 Basil leaves
Step-by-step explanation:
Given
Monica uses 3 basil leaves for every 8 tomatoes
For 32 tomatoes she needs
[tex]\Rightarrow 3\ \text{basil leaves}\equiv8\ \text{Tomatoes}\\\\\Rightarrow 4\times 3\ \text{basil leaves}\equiv4\times 8\ \text{Tomatoes}\\\\\Rightarrow 12\ \text{basil leaves}\equiv 32\ \text{Tomatoes}[/tex]
Thus, she needs 12 basil leaves.
PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.
Answers
Answer:
BFG = 135
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
3x+15 = 5x-5
Subtract 3x from each side
3x+15-3x = 5x-5-3x
15 = 2x-5
Add 5 to each side
15+5 = 2x-5+5
20 = 2x
Divide by 2
20/2 = 2x/2
10 =x
We know that AFG + BFG = 180 since it forms a straight line
AFG + BFG = 180
3x+15 + BFG = 180
3(10) + 15 + BFG = 180
30+15 + BFG = 180
45 + BFG = 180
BFG = 180-45
BFG = 135
Answer:
<BFG = 135
Step-by-step explanation:
They are the same angle, so they will be equal to eachother.
3x + 15 = 5x - 5
-3x -3x
----------------------
15 = 2x - 5
+5 +5
-----------------------
20 = 2x
----- ----
2 2
10 = x
3(10) + 15
30 + 15
45
180-45 = 135
The answer is 135.
Number 2 let’s see who knows???
Answers
Answer:
13-3=10
10-4=6
Step-by-step explanation:
man id hate to have to do this work literally just use your fingers or something
i need serious helpplease its confusing....
Answers
area: 40p² + 24p
wide: 8p
(40p² + 24p)/ 8p
5p + 3
so, length: 5p + 3 -> (a)
perimeter = wide x 2 + length x 2
16p + (10p + 6)
26p + 6 -> (b)
pls help. even if it’s just one question
Answers
Answer:
a, (5;1) R = [tex]\sqrt{7}[/tex]
b, (-2; 4) R = [tex]2\sqrt{2}[/tex]
c, (4;7) R = 7
d, (-3; -6) R = 7
Step-by-step explanation:
Solve the inequality 8 + n > 4.
Answers
Answer:
n>-4
Step-by-step explanation:
8+n>4
n>4-8
n>-4
Answer:
-4
Step-by-step explanation
Subtract 8 from 4 to get -4.
N = -4
God Bless.
Which number lines have points that represent additive inverses? Check all
that apply
-54-3 -2 -1 0
1
2
3
4 5
-513 2-1
0
1
2.
3
4 5
5 4 3 2 1
1
2
3 4
-54-3-2-1
0
1
2
3 4 5
Answers
Answer:
2nd and fourth one
Step-by-step explanation:
I just did it and if you look at both of them and if you look closely they each have a negative and a positive
HURRY PLEASE!
Evaluate –5u for u = –4.
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{-5u}[/tex]
[tex]\huge\textsf{= -5(-4)}[/tex]
[tex]\huge\textsf{= 5(4)}[/tex]
[tex]\huge\textsf{= 20}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{20}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which is the right answer?
Answers
Answer:
b the answer
Step-by-step explanation:
6(2x-11)<-3+5x Need help asap
Answers
Answer:
x <9
Step-by-step explanation:
6(2x-11)<-3+5x
Distribute
12x -66 < -3+5x
Subtract 5x from each side
12x-5x -66 < -3+5x-5x
7x -66< -3
Add 66 to each side
7x-66+66<-3+66
7x<63
Divide by 7
7x/7 <63/7
x <9
3. The volume of a cube is 216 cm'. What is the length of one side?
O 6 cm
6 cm3
72 cm
O 72 cm
Answers
Answer:
6 cm
Step-by-step explanation:
6 cm×6cm×6cm=216 cm³
The graph below shows a proportional relationship between y and x .
What is the constant of proportionality?
y/x?
Answers
Answer:
49/1
Step-by-step explanation:
The point is on (1,49)
I need the answer to this
Answers
Help fast!
Describe at least two ways to find or
estimate the year the population of the town
will be 40 thousand. (You don't have to
actually find the value.)
Answers
Take the natural logarithm (Ln) on your calculator of both sides:
Ln(2222.2222)=Ln(e) 0.035n
Ln2222.2222 just gives you a number and Ln(e) cancel each other so you have:
Ln(2222.222222)= 0.035n, divide both sides by 0.035 and you will find “n”(the number of years after 2000).
The second method is trial and error, keep plugging in numbers for n starting at “1” and see what number gets you closest to 40,000 when you calculate the equation
HELP.... please??????????????
Answers
Answers:
Functions
y = -x+11y = 2x^2-6x+4y = -7Not functions
x = 3x^2+y^2 = 81y^2 = -5x-12=======================================================
Explanation:
A function is possible if and only if any given x input leads to exactly one y output.
For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would not be a function. We would need x to pair with only y value to have it be a function.
We have the same thing going on with y^2 = -5x-12 as well.
For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.
-----------------
In summary, we have these three non-functions:
x = 3x^2+y^2 = 81y^2 = -5x-12Everything else is a function. You can use the vertical line test as a visual way to check.
The mean age of the students in this class is 15.75. The standard deviation is 1.55. Determine the number of standard deviations from the mean required to include
of the ages listed.
13, 17, 18, 15, 16, 14, 15, 18, 17, 16, 15, 16, 13, 15, 17, 17
Answers
Answer:
1.774 standard deviations
Step-by-step explanation:
From the data, the minimum value is x = 13 and the maximum value is x' = 18. The mean X = 15.75 and the standard deviation, σ = 1.55.
The difference between the mean and the minimum value is the deviation from the mean. So, X - x = 15.75 - 13 = 2.75. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.
So, 2.75/1.55 = 1.774.
So, the number of standard deviations to contain the value 13 is 1.774σ
Also, the difference between the maximum value and the mean is the deviation from the mean. So, x' - X = 18 - 15.75 = 2.25. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.
So, 2.25/1.55 = 1.452.
So, the number of standard deviations to contain the value 18 is 1.452σ
Since 1.774σ > 1.452σ and 1.774σ would contain both the values of 13 and 18, the number of standard deviations from the mean required to contain the values is 1.774 standard deviations.
b) If x² + 11x +k can be factored then the one value of k could be
(pls answer me?)
Answers
using the format that
b²=4ac
where b=11 a=1 c=k
(11)²=4×1×k
121=4k
k=30.25
Answer:
10, 18, 24, 28, 30
Step-by-step explanation:
Using the sum product pattern you find all numbers with factors that add up to 11. hope this helps :)
3. The upward velocity of the water in a particular fountain is given in feet per second by
v = -32t + 44, where t is the number of seconds after the water leaves the fountain. While
going upward the water slows down until, at the top, the water has a velocity of zero. How long
does it take each water particle to reach its maximum height?
Answers
ll,,Step-by-step explanation:
This one is really confusing me
Answers
Answer:
D) 9
Step-by-step explanation:
8 + 9 + 10 + 7 =39
48 - 39 = 9
Answer:
Last option: 9
Step-by-step explanation:
48-8-9-5-10-7=9
Find m arc DC.
Please help!
Answers
Answer:
51
Step-by-step explanation:
complete the table
x - 2 7 10
y - 30 36
Answers
Answer:
x-15
y 42
Step-by-step explanation:
Which equation is equivalent to
= 27x+2?
3*-3-3x+2
3* - 33x+6
3-*- 33x+2
3-* - 33x+6
Answers
Answer:
D
Step-by-step explanation:
(1/3)^x=27^(x+2)
3^(-x)=3^(3(x+2))
3^(-x)=3^(3x+6)
