Answers
Answer:
x = 5,-2
Step-by-step explanation:
Multiply the whole equation by 3(x+1) to get rid of the denominator.
[tex] \large{ \frac{x + 2}{3} \times 3(x + 1) = \frac{2(x + 2)}{x + 1} \times 3(x + 1)} \\ \large{(x + 2)(x + 1) = 2(x + 2) \times 3} \\ \large{ {x}^{2} + 3x + 2 = 6(x + 2)} \\ \large{ {x}^{2} + 3x + 2 = 6x + 12}[/tex]
Then we solve the equation.
[tex] \large{ {x}^{2} + 3x + 2 - 6x - 12 = 0} \\ \large{ {x}^{2} - 3x - 10 = 0} \\ \large{(x - 5)(x + 2) = 0} \\ \large{x = 5, - 2}[/tex]
Since we are also solving rational equation, make sure that x ≠ -1 for this problem. Because if x = -1, the denominator is 0 which is undefined. Since our solutions are x = 5,-2 and not -1. Therefore the answer is x = 5,-2
Related Questions
Mark hopes to one day earn $10,000. Estimate how
many clients Mark would need.
Answers
Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.
Answers
Transformation of function f with a feature of the transformed function.
g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)What is asymptote?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique
Given function is : f(x)= log x
g(x)= -f(x+3)= - log(x+3)g(x)=-f(x-3) is vertical asymptote of x=3
j(x)= f(x+3) = log (x+3) thenj(x)= f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}h(x)=3f(x)-3 is domain of (0, ∞)
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Answer:
Step-by-step explanation:
CAN SOMEONE HELP PLS :D will mark brainliest ;)
Answers
Answer: the second one/ \/36/6
Step-by-step explanation:
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold Thin crust 312 Thick crust 245 Stuffed crust 179 Pan style 304
Answers
Question:
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 312
Thick crust 245
Stuffed crust 179
Pan style 304
Based on this information, of the next 4500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answer:
1060 thick crusts
Step-by-step explanation:
Given
The above table
Required
Expected number of thick crust for the next 4500
For last week data, calculate the proportion of thick crust sold
[tex]\hat p = \frac{Thick\ crust}{Total}[/tex]
[tex]\hat p = \frac{245}{312+245+179+304}[/tex]
[tex]\hat p = \frac{245}{1040}[/tex]
[tex]\hat p = 0.235577[/tex]
For the next 4500;
[tex]n = 4500[/tex]
The expected number of thick crust is (E(x)):
[tex]E(x) = \hat p * n[/tex]
[tex]E(x) = 0.235577 * 4500[/tex]
[tex]E(x) = 1060.0965[/tex]
[tex]E(x) \approx 1060[/tex]
a box in mrs booths class contains 200 loose white or yellow golf balls
Answers
Answer:
Dot Plot
Step-by-step explanation:
Is there a question? Like a second part? Or a dot plot orrr a graph?
Andrea constructed a triangle. Angle 1 and 3 are the same size and angle 2 has a measurement of 70 degrees. What is the measurement of angle 1 and 3
Answers
Answer:
Step-by-step explanation:
By triangle sum theorem,
Sum of all angles of a triangle is 180°.
m∠1 + m∠2 + m∠3 = 180°
(m∠1 + m∠3) + m∠2 = 180°
2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]
2(m∠1) = 110°
m∠1 = 55°
Therefore, m∠1 = m∠3 = 55°
OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-
Answers
Answer:
it would be $1800
Step-by-step explanation:
if each hoop costs $600, and they buy 3, 600 x 3 = 1800
Answer:
1800
Step-by-step explanation:
600 * 3 = 1800
What is equivalent to 8?
A:2^3
B:3^-2
C:2^-3
D:3^2
Answers
Answer: A:2^3
Step-by-step explanation:
8=2*2*2=(2)^3
Please Help. What expression is equivalent to 6( t - 5 ) + 3
A. 6t - 2
B. 6t - 12
C. 3 ( 2t - 11 )
D. 3 ( 2t + 9 )
Answers
Explanation: The simplified version of 6(t-5)+3 is 6t+27, and D gives us the same answer.
Amad collected 42 plates in February for a project he plans to make. He had collected a total of 91 plates by the end of March. Which equation can be used to find the number of plates Amad collected in March? A. 42 * p = 91 b. P - 91 = 42 c. 91 / p = 42 d. P + 42 = 91
Answers
Answer:
Option D: P + 42 = 91
Step-by-step explanation:
Plates collected in February = 42
Total Plates collected = 91
Plates in February + Plates in March = total plates
42 + P = 91 or
P + 42 = 91
Which of the following points lie on the graph of y=x^2-2x+6
Answers
Answer:
Did this help?
Step-by-step explanation:
What is the percent of change? Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease. $99 to $74
Answers
The percent of change is -25.25252525 repeating percent, and it is a decrease
Explanation:
Where: 99 is the old value and 74 is the new value. In this case we have a negative change (decrease) of -25.25252525 percent because the new value is smaller than the old value.
The table below shows the score
Analisa and Luke earned on four science
projects.
Science Project Scores
Project Analisa Luke
95 90
2
81 84
3
76 95
4
88 91
5
2
?
Analisa and Luke worked on a fifth
science project together. They each
carned the same score on the project.
When the fifth score is included in the
table, Analisa's mean score does not
change
Which of the following statements
describes how Luke's mean score
changes when the fifth score is included
in the table?
Answers
Answer:
It increases by 2.5
Step-by-step explanation:
yeah
These numbers tell how many books five different students read in the past six months. 8, 11, 15, 22, and 6 a) Create a different set of five pieces of data with a greater mean, but with at least two values less than the values in the set of data above. b) Create a different set of five pieces of data with a lower mean, but with at least two values greater than the values in the set of data above. How did you make it work? c) Create a different set of five pieces of data with a lower mean, but with a higher median than the original set.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Origibal data set
8, 11, 15, 22, 6
Rearranging The value :
x : 6, 8, 11, 15,22
Mean = Σx / n
n = sample size =5
Mean = (6+8+11+15+22) = 62
Mean = 62 / 5 = 12.4
Median = 1/2(n+1)th term
Median = 1/2(6)th term = 6/2 = 3rd term = 11
A.)
X = 4, 5, 15, 23, 19
MEAN = (4 +5 + 15 + 23 + 19) / 5 = 13.2
B.)
X = 2, 6, 5, 23, 34
Mean = (2+6+5+23+24) / 5
Mean = 60 / 2 = 12
C.)
X = 3, 7, 12, 21, 13
X = 3, 7, 12, 13, 21
Mean = (3+7+12+13+21) /5 = 11.2
Median = 1/2(6)th term = 6/2 = 3rd term = 12
If a population of 10,000 increases by 5% every year, how large will the population be in 5 years?
______________________________
Answers
Answer:
10.500
Step-by-step explanation:
step by step explenation
Part C Calculate the perimeter of ABC by adding the side lengths. Show your work.
Answers
Answer:
What is the lenght and the other things?
Step-by-step explanation:
Brainliest?
Answer:
see photo
Step-by-step explanation:
What is the solution to the system of equations graphed below?
a. (2,-3)
b. (-3,2)
c. (-2,3)
d. (3,-2
plz help i’m in a timed test
Answers
I believe it is (2, -3)
Explanation:
Because that’s where both lines cross, don’t quote me on this though.
Does anyone know this one?
Answers
Answer:
-3
Step-by-step explanation:
(-5) - (-2) = (-3)
hope it helps
Answer:
there is a three degree difference between san Diego and Los Angeles
What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?
Answers
Add 4.5
---
hope it helps
Answer: add 4.5 to both sides
Step-by-step explanation: this will allow the 4.5 to be removed from the y side and since you added it to one side you have to add it to the other side. This will give your y the value of 16.7.
Brainliest plz
Factor 9z^2 - 6x +1.
pls will mark you brainiest
Answers
Answer:
It is not factorable
Step-by-step explanation:
The expression is not factorable with rational numbers.
Answer:
This is not factorable.
Step-by-step explanation:
This is not factorable.
The USA Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point
C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?
Select the correct answer chorice below.
(x _ _)^2 _ (y_ _)^2 = _
Answers
[tex]\left(x-2\right)^{2}+\left(y-4\right)^{2}=25[/tex]
Hope this helps!
The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]
Equation of circle:The equation of circle is given as,
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
Where [tex](h,k)[/tex] is the coordinate of center and r is radius.
From the given figure,
It is observed that, the center of circular pool is (2, 4)
and radius is 5.
substitute the value of center and radius in above equation.
[tex](x-2)^{2}+(y-4)^{2} =5^{2}\\\\(x-2)^{2}+(y-4)^{2} =25[/tex]
The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]
Learn more about the equation of circle here:
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2) Check to see if x = 2 is the solution to this equation Explain your
reasoning with words and work. Be clear and completel
- 4x - 12 = 2x -8
Answers
-4(2)-12=-20
2(2)-8=-4
-20 does nothing equal to -4 which means x=2 is invalid
Can anyone help with this question geometry
Answers
Answer:
The answer would have to be shown in your working out, so look down below for an explanation.
Step-by-step explanation:
You would make each equation with the same letter equal to each other
5x- 10= 7x-20
3y= 5y-16
Then you would solve the equations
5x-10 = 7x-20
+20 +20
5x +10= 7x
-5x -5x
10= 2x
x= 5
-
3y = 5y-16
+16 +16
3y+16=5y
-3y -3y
16 = 2y
y = 8
And there's how you would prove that x=5 and y=8
Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.
Answers
(3.2)
Equation form:
X
x=3,y=2
identify the pattern then write the next three terms in each sequence 2,8,32,128
Answers
Step-by-step explanation:
the difference is the previous term multiplied by 4 to get the next term
2,8,32,128,512,2048,8192
Hope that helps :)
What is the theoretical probability of rolling anything other than a two on a fair six sided die?
Answers
Answer:
5/6 probability
Step-by-step explanation:
What is the best description of a food chain?
the competition among several species for the same food item
the transfer of energy from one organism to another
Answers
Answer:
the transfer of energy from one organism to another
Step-by-step explanation:
It is 1/2 mile from the students home to a store and back. In a week, she walked to the store and back home 1 time. In the same week, she rode her bike to the store and back 3 times. How many miles did she walk and ride to the store and back in that week?
Answers
Answer:
2
Step-by-step explanation:
So you will get the 1/2 and see how many times she does go back and forth and she did it 4 times so you would multiply 1/2 x 4 and get a total of 2
Hope It Helps
Answer:
2
Step-by-step explanation:
she walked to the store and back 1 time=1/2 mile :
from her house to the store=1/4 mile
she rode her bike to the store and back 3 times
So in total that week she went to the store and back 4 times
so 4 times 1/2 is 2
I WILL GIVE BRAINLIEST!!!
Answers
Answer:
F(x)=h(x)-8
I think
Step-by-step explanation:
How are youaefljsofjsnjvlsdnbvjklxfclkjmzlv