Answers
First notice that
x ² + 5x + 6 = (x + 3) (x + 2)
so you can rewrite everything with a common denominator:
5 / (x ² + 5x + 6) + 7 / (x + 2) = 6 / (x + 3)
5 / (x ² + 5x + 6) + 7 (x + 3) / ((x + 2) (x + 3)) = 6 (x + 2) / ((x + 3) (x + 2))
5 / (x ² + 5x + 6) + 7 (x + 3) / (x ² + 5x + 6) = 6 (x + 2) / (x ² + 5x + 6)
(5 + 7 (x + 3)) / (x ² + 5x + 6) = 6 (x + 2) / (x ² + 5x + 6)
As long as x ≠ -3 or x ≠ -2, the denominators are never zero, so we can cancel them and be left with
5 + 7 (x + 3) = 6 (x + 2)
Solving for x is easy from here:
5 + 7x + 21 = 6x + 12
7x - 6x = 12 - 5 - 21
x = -14
Related Questions
I WILL MARK YOU AS THE BRAINLIEST IF YOU ARE CORRECT! Below is how tall (in meters) each of the five players on Deandra's basketball team is.
Find the median height.
Answers
So the number in the middle is 1.7
Write the equation of the graphed circle.
Answers
The ratio of cherry trees to apple trees at an orchard is 4 to 9. If there are 184 cherry trees, use a proportion to find a, the number of apple trees.
Answers
736 = 9x
736/9 = x
81.7 (round it to 82) = x
Can anyone help me I am stuck on this question! and tysm for the people who helped me! <3 Have a nice day!
Answers
Answer:
115.24
Step-by-step explanation:
15.35*4.25=65.2375
65.2375+50=115.2375
115.2375≈ 115.24
Answer:
$84.95
Step-by-step explanation:
50+15.35=65.35
15.35+4.25=19.6
65.35+19.6=84.95
Drove that
sinA+ sin5=2 sin A +5/2 COSA -5/2
Answers
Kenyin is taking a short multiple choice quiz with four questions on it. If each question has four choices and Kenyin guess at all the questions, what is the probability he gets exactly two of the three correct?
Answers
Kindly note that the question says 4; maybe the final question was intended to be the probability that he gets exactly 2 of the 4 correct. However. If it is the other way round. This a e procedure used in the solution should also be followed.
Answer:
0.21
Step-by-step explanation:
Number of options = 4
One correct answer per option ; hence, the probability of success, p = 1/4 = 0.25
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
x = 2 ; n = 4
p = 0.25 ; 1 - p = 0.75
P(x = 2) = 4C2 * 0.25^2 * 0.75^2
P(x = 2) = 6 * 0.0625 * 0.5625
P(x = 2) = 0.2109375
P(x = 2) = 0.21 (2 decimal places)
Note : if the question was 3, then put, n = 3 instead of 4
A book had length of 5 inches and a width of 8 inches what is the area of the book
Answers
someone please help me answer this!!
Answers
Answer:
17.9 units is the answer
Step-by-step explanation:
points are (-7,-2) and (9,6)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{9-(-7))^2 + (6-(-2))^2}\\\\d=\sqrt{(16)^2+(8)^2} \\\\d=\sqrt{256+64} \\\\d=\sqrt{320} \\\\d=17.88[/tex]
Rounding off,
d = 17.9 units
Can someone help me please?
Answers
Answer:
5 1/6
Step-by-step explanation:
A university council wants to determine the need for a new staff room. The council conducted a survey of the staff by randomly speaking to 860 staff members out of 2,844 staff members. The council found that 70% of those surveyed were in favor of building a new staff room. Assuming a 90% confidence level, which statement holds true?
As the sample size is appropriately large, the margin of error is 0.036.
As the sample size is appropriately large, the margin of error is 0.026.
As the sample size is too small, the margin of error is 0.026.
As the sample size is too small, the margin of error cannot be trusted.
To find a margin of error for a sample proportion, these assumptions must be met, where n is the sample size and is the sample proportion.
First rewrite the proportion of positive responses as a decimal number.
Now substitute the sample proportion and the sample size, 860, into the formulas for the assumptions to determine whether they are met.
Both values are greater than 10, so the assumptions are met, and the margin of error can be calculated.
Find the margin of error using this formula, where z is the critical value.
For a 90% confidence level, . Substitute the values of z, n, and into the formula for margin of error and evaluate.
Answers
Answer:
As the sample size is appropriately large, the margin of error is 0.026
Step-by-step explanation:
3. Julio deposited $3,000 in a savings
account that pays 2.5% interest
compounded annually. What is the total
value of the account after 4 years?
A $3,311.44
C $3,117.18
B $3,300.00
D $3.075.00
I
Answers
Kim kept track of how much cereal she ate for two months and found that she ate 256 ounces of cereal in that time.
How many pounds is that? (16 ounces = 1 pound)
A. 16 pounds
B. 8 pounds
C. 4,096 pounds
D. 32 pounds
Answers
Answer:
a 16 pounds
Step-by-step explanation:
256/16=16pounds
The probability distribution for a
random variable x is given in the table.
-5
-3
-2
0
2
3
Probability
.17
.13
.33
.16
.11
.10
Find the probability that -2
Answers
3
Question 5 (1 point)
Jasmine has 14 roses in a vase.
6
2 roses are yellow.
5 roses are pink.
3 roses are white.
4 roses are red.
9
12
What is the probability that Jasmine randomly selects a
red rose, replaces it, and then a pink rose?
1
A.
9
C.
28
5
3
10
B.
5
D.
49
91
Loo
Answers
Two numbers are in the ratio 9:2. If the
smaller number is 320, find the larger number
pls ans fast
Answers
Answer:
Large number from two numbers = 1,440
Step-by-step explanation:
Given:
Ratio of two numbers = 9 : 2
Smaller number from two numbers = 320
Find:
Large number from two numbers
Computation:
Large number from two numbers / Smaller number from two numbers = Ratio of two numbers
Large number from two numbers / 320 = 9 / 2
Large number from two numbers = 2,880 / 2
Large number from two numbers = 1,440
Allie is 26 years old. This is half of her
brother Alex's age, plus 5 years.
How old is Alex?
Answers
Answer:
18
Step-by-step explanation:
Find the value of x in the triangle shown below 9 3
Answers
Answer:
x = 9.4868
Step-by-step explanation:
For this problem we can use the Pythagorean Theorem
Pythagorean theorem = [tex]a^2+b^2=c^2[/tex]
IN THIS CASE C = X
A and B are the side and base lengths of a right triangle.
C is the Hypotenuse side.
[tex]9^2+3^2=c^2[/tex]
Solve...
81 + 9 = [tex]c^2[/tex]
90 =[tex]c^2[/tex]
[tex]\sqrt{90}[/tex] = c
c = 9.4868
A bag contains:
.
5 red marbles
6 blue marbles
3 green marbles
4 black marbles
2 yellow marbles
.
.
A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction
for the number of times a green or black marble will be drawn?
F. 14
G. 65
H. 7
J. 35
Answers
Answer:
i would say the answer is J. 35
Step-by-step explanation:
sowwy if i am wrong but if not can have brainliest
QUICK WHATS THE ANSWER
Answers
Answer:
132
Step-by-step explanation:
4 times 11 times 3 and that should be your answer
Helppppppppppppppppppppppppp
Answers
x= 1
y= 3
plug in to answer choices:
1) y= 3x
3*1 = 3
y= 3
Answer: y= 3x
I need help! Can you help me pls?
Answers
Answer:
The first one
Step-by-step explanation: the ABC triangle has a 25-degree angle and a 90-degree angle as you can see by the marks. The first triangle has a 25-degree angle and a 90-degree angle as you can see by the marks. The second one does have a 90-degree angle but it's a different shape and has no 25-degree angle. The third one has both angles 25 and 90 but if you look close it's a different shape. The last one does not have a 90-degree angle but it does have a 25-degree angle and it's a different shape.
So it would be the first option.
Helen puts 50 marbles into 9 jars. First, she puts in the greatest
possible number of marbles into each of the 1st 8 jars. Each of these
8 jars has an equal number of marbles. The remaining marbles are
then put into the 9th jar. How many more marbles does she need for
the 9th jar such that every jar has the same number of marbles?
Answers
Answer:
She needs 4 more marbles for the 9th jar.
Step-by-step explanation:
Multiples of 8:
M = {0, 8, 16, 24, 32, 40, 48, 56, ...}
First, she puts in the greatest possible number of marbles into each of the 1st 8 jars.
The total is the greatest multiple of 8 below 50, which is 48.
In each jar:
48/8 = 6
The remaining marbles are then put into the 9th jar.
50 - 48 = 2 in the 9th jar.
How many more marbles does she need for the 9th jar such that every jar has the same number of marbles?
All others have 6, the 9th has 2.
6 - 2 = 4
She needs 4 more marbles for the 9th jar.
For each part below, use the figure to fill in the blank.
Answers
Answer:
a) m<F = 70
b) AB = 6
Step-by-step explanation:
a)
Since this is an isoceles triangle, the base angles are equal so:
2x + 40 = 180
2x = 140
x = 70
b)
Since all of the angles are equal, this is an equilateral triangle. This also makes all of the sides equal and the same.
HELP ME PLEASE!!!!!!!!!!
Answers
Answer: option 3
Step-by-step explanation:
Today 108 people visited a water park during the first hour that the park was open. This number of people is 40% of the number of people who visited the water park during the first hour yesterday. How many people visited the water park during the first hour yesterday?
Answers
Answer:
40
___ x 108 = 43.2
100
4. If the sides of a square measure 9V3 units, then find the length of the diagonal.
Answers
Answer:
Step-by-step explanation:
To find the diagonal, use Pythagorean theorem,
diagonal² = side² + side²
= (9√3)² + (9√3)²
= 9²(√3)² + 9²(√3)²
= 81*3 + 81*3
= 243 + 243
= 486
diagonal = √486 = 22.05 units
I need help, pls help me?
Answers
Answer:
1 and 100
Step-by-step explanation:
Those are the chances of events
What is the slant height x of this square pyramid?
Answers
sin 60=x/4--------> x=4*sin 60------> 4*(√3/2)-------> 2 √3 m
the answer Part 1) is 2 √3 m
2) The base of a regular pyramid is a hexagon. What is the area of the base of the pyramid?
[area of the base}=[area of hexagon]
[area of hexagon]=6*[area of triangle]
area of triangle
sin 60=a/14-------> a=(√3/2)*14-------> a=7√3 cm
cos 60=(b/2)/14--------> (b/2)=cos 60*14-----> (1/2)*14---------> (b/2)=7
base of triangle=2*7--------> b=14 cm
[area of triangle]=14*7√3 /2--------> 49√3 cm²
so
[area of hexagon]=6*[49√3]--------> 294√3 cm²
i need help on 2 & 3 ASAP
Answers
Answer:
2)100
3)100
Step-by-step explanation:
pls help! i’m giving brainliest :)
Shonda is making cookies with her family. They mix 2 cups of flour with a half cup of sugar. How many cups of sugar will they need if they used 8 cups of flour?