Answers
Answer:
[tex] x = 1, \: \: x = \frac{2}{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{3x + 1} - \sqrt{2 - x} = \sqrt{2x - 1} \\ \\ squaring \: both \: sides \\ \\ ( \sqrt{3x + 1} - \sqrt{2 - x})^{2} = ( \sqrt{2x - 1} ) ^{2} \\ \\ 3x + 1 + 2 - x - 2( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = 2x - 1 \\ \\ \cancel{ 2x} + 3 - 2( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = \cancel{ 2x} - 1 \\ \\ 3 - 2( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = - 1 \\ \\ - 2( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = - 1 - 3 \\ \\ - 2( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = - 4 \\ \\ ( \sqrt{3x + 1} ) ( \sqrt{2 - x} ) = 2 \\ \\ squaring \: both \: sides \: again \\ { [( \sqrt{3x + 1} ) ( \sqrt{2 - x} )] }^{2} = {2}^{2} \\ \\ (3x + 1)(2 - x) = 4 \\ \\ 6x - 3 {x}^{2} + 2 - x = 4 \\ \\ - 3 {x}^{2} + 5x - 2 = 0 \\ \\ 3 {x}^{2} - 5x + 2 = 0 \\ \\ 3 {x}^{2} - 3x - 2x + 2 = 0 \\ \\ 3x(x - 1) - 2(x - 1) = 0 \\ \\ (x - 1)(3x - 2) = 0 \\ \\ x - 1 = 0, \: \: 3x - 2 = 0 \\ \\ x = 1, \: \: x = \frac{2}{3} [/tex]
Related Questions
Angle 1 is an alternate exterior angle to
Answers
Answer:
Angle 7
Step-by-step explanation:
Angle one is an alternate exterior angle to angle 7.
Find an
expression which represents the sum of (2x + 9) and (6x + 6) in simplest
terms.
MARKED WITH A GOOD REVIEW OR BRAINLIEST:)
Answers
Answer:
Step-by-step explanation:
[tex](2x + 9) + (6x + 6)[/tex]
[tex](2x + 6x) + (9 + 6)[/tex]
[tex]8x + 15[/tex]
PLEASE HELP
Use the formula √(x2−x1)2+(y2−y1)2 to find the distance between the points(8,2) and (3,8) to the nearest tenth please
Answers
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(3-8)^2+(8-2)^2} =\sqrt{25+36 }=\sqrt{61} \approx 7.81[/tex]
1) Which is the image of (2, 3) under a 180 degree rotation about the
origin?
Answers
Answer:
(-2,-3)
Step-by-step explanation:
Hope this helps!
martha can paint a room in 8 hours. jamie can paint the same room in 4 hours. how long to the nearest tenth of an hour will it take them to paint the room together
Answers
Answer:
in 1 hr martha finishes 1/8th of the room
in 1hr jaime finishes 1/4th of the room
combined in 1hr they can finish (1/8 + 1/4) = 3/8th of the room.
for painting the whole room both of them together it takes the 8/3 hrs = 2.67hr
A rectangle has area x3 + 3x2 - 18x in.2 and width x + 6 in. What is the length in inches?
Answers
Answer:
HOPE THIS HELPS
Step-by-step explanation:
The area = length * Width.
We know the width = X+6 inches and Area = x^3+3x^2–18x.
This problem can be solved just by dividing the area by width and we get a quotient as X^2–3x.
So the length is x^2–3x inches.
The length of the rectangle is [tex]\rm x(x-3)[/tex].
Given
The area of the rectangle = [tex]\rm x^3+3x^2-18x[/tex] square inches
The width of the rectangle = x + 6 inches
Area of the rectangleThe area of the rectangle is equal to the product of length and width of the rectangle.
Let the length of the rectangle be L.
The area of the rectangle is given by;
[tex]\rm Area \ of \ the \ rectangle =Length \times Width\\\\[/tex]
Substitute all the values in the formula;
[tex]\rm Area \ of \ the \ rectangle =Length \times Width\\\\\rm x^3+3x^2-18x= L \times (x+6)\\\\L=\dfrac{ x^3+3x^2-18x}{x+6}\\\\L = \dfrac{ x(x+6)(x-3)}{x+6}\\\\ L = x (x-3)[/tex]
Hence, the length of the rectangle is [tex]\rm x(x-3)[/tex].
To know about rectangles click the link given below.
https://brainly.com/question/14383947
Solve the inequality: 5x + 7 < -23
Answers
Step-by-step explanation:
Given
5x + 7 < - 23
Subtracting 7 from both sides
5x + 7 - 7 < - 23 - 7
5x < - 30
Dividing both sides by 5
5x / 5 < - 30 / 5
x < - 6
Hope it will help :)
Answer: x = 14/5
Step-by-step explanation:
1. Add 7 to both sides.
5x=7 +7
5x=7+7
Simplify 7 +7 to 14
5x = 14
5x=14
Divide both sides by 5
x =14/5
x = 14/5
Hoped this help <3 !
The process of eliminating a radical from the denominator of a radical expression is called
Answers
Answer:
rationalizing the denominator
Thank 0d0
Step-by-step explanation:
Jonathan owns a food truck that sells tacos and burritos. He sells each taco for $3 and each burrito for $6.75. Jonathan must sell at least $550 worth of tacos and burritos each day. Write an inequality that could represent the possible values for the number of tacos sold, t, and the number of burritos sold, b, that would satisfy the constraint.
Answers
Answer: 3t + 6.75b _> 550
Answer:
3b+6.75t> 550
Step-by-step explanation:
Hope this helps
i don’t know the answer
Answers
Answer:
C
Step-by-step explanation:
In order to be able to find the circumference in relation to radius, you have to use the formula C = 2πr
Hope this helped :)
Which ratio best defines experimental probability
Answers
Answer:
The experimental probability of an event is defined as the ratio of the number of times the event occurs to the total number of trials performed.
Step-by-step explanation:
Answer:
The Experimental Probability of an experiment is defined as: Ratio of the number of times the event is occurring to the total number of trials of the experiment
Step-by-step explanation:
construct independent equilateral triangle PQR
Answers
Answer:
1st take PQ - 6 cm
then take an arc of PR of 6cm , and form QR of 6cm ...
Which expression is NOT equivalent to 3^5?
A. 3^7 – 3^2
B. 3^5×3^0
C. 3^1×3^4
D. 3^6÷3^1
Answers
Answer:
APart 1:
A.53 =53
B.3^5/3^-6 =177147
C.(1/4)^3 • (1/4)^2 = 1 /1024
D.(-7)^5/(-7)^7 = 1/49
Step-by-step explanation:
I tried my best for part 2 but i'm pretty sure it's not right. I think 1/1024 and 1/49 has a value between 0 and 1
The weights in pounds of Renold's 7 dogs are 18, 22, 17, 20, 18, 20, and 18. The mean, median and mode of the weights are given below. Mean = 19 median = 18 mode = 18 Which value describes the weight that occurred most often? Median = 18 Median = 18 Mean = 19 Range = 5 Mode = 18
Answers
Answer:
Mode = 18
Step-by-step explanation:
Given the weights in pounds of Renold's 7 dogs are 18, 22, 17, 20, 18, 20, and 18.
Mode is the weight of the dogs occurring most in the dataset. It is the value with the highest frequency.
From the data given, you can see that 18pounds occurs 3 times and it has the highest occurrence compared to other weights of the dogs.
Hence the value that describes the weight that occurred most often is the Mode which is equal to 18
ill mark brainlist plss help
Answers
Answer:
Step-by-step explanation:
Height of model = 20 ft ⋅ (2 in)/(5 ft) = 8 in
Given the graph of a quadratic function, use the intercepts and another point on the graph to write the equation of the function in standard form.
Answers
Answer:
-2x^2 +8
hope this helps ;)
Does this graph have any vertical asymptotes? If so, where?
Answers
Answer:
There are no vertical asympotes for this rational function.
Step-by-step explanation:
For rational functions, a vertical asymptote exists for every value of the independent variable such that function become undefined, that is, such that denominator is zero. Let be the following rational function:
[tex]C(p) = \frac{25000\cdot p}{100-p}[/tex], [tex]0\le p < 100[/tex]
There is a vertical asymptote for this case:
[tex]100-p = 0[/tex]
[tex]p = 100[/tex]
Which is out of the interval given to the rational function. Hence, we conclude that there are no vertical asympotes for this rational function.
Help I’m not sure of the answer?
Answers
Answer:
C) 1/3^32
Step-by-step explanation:
2 * -4 = -8
-8 * 4 = -32
1/3^32
Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D
-Lil G
Help Please? Due today. Brainliest 50 pts.
Answers
Answer:
0.0125 Is the answer
What are the zeros of f?
A graph of f(x) = 6x2 - 11x + 3 is shown on the grid.
A 3
A
B
2 and 9
C
1 1/2 품
11
12
1
IX
6
1
2
3
4
5
-6 -5 -4 -3 -2 -1
D
and
1 2 3 4
Answers
Answer:
x= 1/3 , 3/2
step by step
that should be the right answer
Can someone help me plz
Answers
Answer: 10(x+7.5)=200
Step-by-step explanation:
In 2010, the price of a laser printer was $1599. In 2018, the price of the same type of printer had dropped to $579. Find the percent of decrease. Round to the nearest percent.
Answers
Answer:
nearest percentage=64%
Step-by-step explanation:
math
Each marble bag sold contains 4 green marbles for every 3 blue marbles if a bag has 21 blue marbles how many green marbles does it contain
Answers
So you can cross multiply and divide:
3x = 84
x = 28
Or you can say 3 times what equals 21? The answer is 7. Then multiply 4 times 7 to get the answer. Whichever makes more sense to you :)
The Quadratic Formula gives which roots for the equation 3x2 + 3x = 2?
Answers
Answer: x=x=-3+/- sqrt 33/6
Step-by-step explanation:
Jasmine and 4 friends moved 23 pounds of dirt. Each friend moved the same amount of dirt. How much dirt did each friend move?
Answers
PLEASE I NEED HELP URGENTLLY, AND PLEASE SHOW WORK
Gina has $90.87 in her checking account. Each week she withdraws $6.99 for
a bus pass. After 4 weeks, by how much will Gina’s checking account balance
have changed? How many bus passes can Gina buy if she does not add any
money to her checking account?
Find the change in the account balance and the number of bus passes
Gina can buy.
1. A bus pass costs each week.
2. Gina withdraws $6.99 each week for weeks.
3. Because the amount in Gina’s account is decreasing, the change in her
account balance is represented by a number.
4. Write an equation to find the change in Gina’s account balance:
bus pass cost × number of weeks = change in Gina’s account balance
× =
5. After 4 weeks, Gina‘s checking account balance changes by .
6. How much money does Gina have in her checking account to start?
7. Write an equation to find the number of bus passes Gina can buy:
account balance , cost of bus pass = number of passes
, =
8. Gina can buy bus passes.
Answers
Answer:
Ok, so I say that the answer is 100
A 200g packet of Oreos costs $3, how much would a 50g packet cost?
HELP MY EXAM-
Answers
Answer:
0.75
Step-by-step explanation:
200g-3$
50g-x
200x=3×50
x= 3.50/200
x= 0.75
[tex]n^{2} +3n-12=6[/tex]
Answers
Answer:
Step-by-step explanation:
n² + 3n - 18 = 0
n = [-3 ±√(3²-4(1)(-18)]/[2(1)] = [-3 ±√81]/2 = 3, -6
Simplify.
(-2)^4(-2)
Answers
Answer:
−32
Step-by-step explanation:
(−2)^4(−2)
=(16)(−2)
=−32
Answer:
The answer is -32
Step-by-step explanation:
I just did it.
do parallel lines have tha same slope
Answers
Answer:
The slopes of parallel lines are equal.
Step-by-step explanation:
Two lines are parallel if their slopes are equal and they have different y-intercepts.