Answers
Answer:
[tex]x = \frac{5}{3}[/tex]
Step-by-step explanation:
The expression under the square root is [tex]\sqrt{4x^2 - 20x + 25}[/tex]
This is equivalent of [tex](2x-5)^2[/tex]
We can check this by using the formula
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
where [tex]\\a = 2x so a^2 = (2x)^2 = 4x^2\\\\b = -5 so b^2 = (-5)^2 = 25\\\\2ab = (2)(2x)(-5) = -20x\\[/tex]
So
[tex]\sqrt{4x^2 - 20x + 25} = \sqrt{(2x-5)^2}[/tex] which is [tex](2x-5)[/tex]
(The square root of the square of an expression is the expression itself)
So that gives us
[tex]2x - 5 = 5-2x\\[/tex]
Collecting like terms on each side gives us
[tex]2x + 2x = 5 -(-5)\\\\4x = 10\\\\x = 10/4 = 5/3[/tex]
Related Questions
The system of x+2y=5 and 3x+6y=k has infinite solutions find the value of k
A. 18
B. 5
C. 15
D. 10
Answers
Joyce paid $220 for an item at the store that was 30 percent of the original price. What was the original price?
Answers
Answer:
if 220=30%
100%=?
220×100÷30
=$733.333
Matthew bought a video game for 25 dollars the following week his friend found the game on sale and bought it for 17 dollars what is the percent of decrease in price of the game
Answers
Answer:
14% decrease
Step-by-step explanation:
they making me write more since I'm ambitious
Find the percent error in this situation:
Experimental value: 4.8 g/cm3
Theoretical value: 5.8 g/cm3
2.08%
17.2%
1.72%
20.8%
Answers
Answer:
the percent error is -17.2%
Step-by-step explanation:
The computation of the percent error is shown below:
As we know that
Percent error is
= (Experimental value - theoretical value) ÷ (theoretical value)
= (4.8 - 5.8) ÷ (5.8)
= -17.2%
Hence, the percent error is -17.2%
9. If the area of a square is given by the polynomial 4x2 – 36x + 81, then which of the following expressions represents the length of one side of the square?
A 2x - 9
B 2x + 9
C 4x - 18
D 4x + 18
Answers
Answer:
it is b
Step-by-step explanation:
Me Pekzer has a problem he has become obsessed with TickTock's he makes them all the time now when he started counting he had made 544 different TickTock's he did some calculations and determined the number of TickTock's he made was growing by 11% each week write an equation to represent this situation .
Answers
Answer:
544w + 11%
Step-by-step explanation:
544 is the number he started with, so if he increases 11% by w (the amount of weeks) then you will get your anwser based on the number of weeks he increases
Which relation is a function?
{(1, −1), (−2, 2), (−1, 2), (1, −2)}
{(1, 2), (2, 3), (3, 2), (2, 1)}
{(1, 4), (2, 3), (3, 2), (4, 1)}
{(4, 2), (3, 3), (2, 4), (3, 2)}
Answers
Answer:
c
Step-by-step explanation:
because all the x values in c are different
plzzzzzzzzzzz hurry.
Answers
Answer:
c maybe i think. tell me if its right
Please help me What is the domain of the function y=2 square root x- 6
Answers
Answer: Mark me brainliest..
Step-by-step explanation: and imma put the answer inside the comments if you do so. youve got nothing to lose! :D
How do I show work for this?
Answers
Answer:
you don't because its not relivant
Step-by-step explanation:
Answer:
You dont need too. Im assuming this is ALEKS
Step-by-step explanation:
A computer program is tested by 5 independent tests. If there is an error, these tests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5, respectively. Suppose that the program contains an error. What is the probability that it will be found (a) by at least one test
Answers
Answer:
0.8488 = 84.88% probability that it will be found by at least one test.
Step-by-step explanation:
Either there are no errors discovered, or there is at least one error discovered. The sum of the probabilities of these outcomes is 1.
Probabilities of no errors discovered:
If there is an error, these tests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5. So, of not discovering the errors, the probabilities are: 0.9, 0.8, 0.7, 0.6, 0.5.
The probabilities of none discovering the error is:
[tex]p = 0.9*0.8*0.7*0.6*0.5 = 0.1512[/tex]
(a) by at least one test
None: 0.1512
At least one: 1 - 0.1512 = 0.8488
0.8488 = 84.88% probability that it will be found by at least one test.
Question 7
1 pts
Emily has two bags of marbles. The first bag contains 4 red marbles and 6 blue.
The second bag contains 6 blue marbles, and 2 green marbles. Emily will
randomly select 1 marble from each bag.
What is the probability that Emily will select a blue marble from each bag?
Answers
Answer:
likely
because there are 12 blue marbles more then others
What should you do first to simplify 8 + (2 x 5) ?
Answers
Answer:
18
Step-by-step explanation:
8+(2)(5)
=18
Answer:
18
Step-by-step explanation:
8 + (2×5)
=8 + 10
= 18
hope this will help you ☺✌
28800000, 1440000, 72000, 3600, 180, ...
Answers
Answer: I'm confused. What are you asking here?
Step-by-step explanation:
(4x-20)° what is the value of x
Answers
Answer: 4(x−5)
Step-by-step explanation:
I think this is right. If it’s not Im sorry. But if it is hope this helps!
Marshall has 3 bags in each of his 2 toy chests. Each bag has 5 marbles. How many
marbles does he have in all?
A. 10
B. 15
C. 30
D. 35
< Back
Clear Answer
Next >
Answers
Answer:
C. 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
3 bags in each of 2 toy boxes. 3x5=15. That Would be the answer but he has 2 toy boxes go he has 6 bags. 15x2=30 or 15+15=30
Solve these questions for 18 points (Solving Integers)
Answers
Answer:
x >= 9
x <= 32
x > -24
x > -5
x <= 10
x > -6
Step-by-step explanation:
first, write it down as inequalities:
5x >= 45
x/4 <= 8
x/-3 < 8
7x > -35
x/2 <= 5
3x > -18
then, solve the inequalities
5x >= 45
x >= 45/5
x >= 9
x/4 <= 8
x <= 8*4
x <= 32
x/-3 < 8
x > 8 * -3
x > -24
7x > -35
x > -35/7
x > -5
x/2 <= 5
x <= 5*2
x <= 10
3x > -18
x > -18/3
x > -6
The city of Gainesville is trying to determine the average price for a gallon of gas. They randomly sampled 28 gas stations and found the sample mean to be $2.58 with a standard deviation of $0.09. Assume that all of the assumptions are met. Calculate a 95% confidence interval for the population mean gas price in Gainesville.
Answers
Answer:
The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54
The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.
The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.
How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656
Answers
Answer:
21,656
Step-by-step explanation:
What is the value of 4.6 – t when t = 3.1?
Answers
Answer:
4.6-t
4.6-3.1
THAT EQUALS
1.5
SOOO 1.5 IS U ANSWER
Step-by-step explanation:
Step-by-step explanation:
=4.6-t
=4.6-3.1
=1.5
hope it helps.
If a person walks 1/7 mile in 10 min how far will that person walk in one hour
Answers
Answer:
6/7 mile
Step-by-step explanation:
1/7 = 10
?= 10x6
1/7 x 6= 6/7
I need help finding the area of this shape can you please help
Answers
Answer: 139.27
Step-by-step explanation:
So let find the area of the black swuare the length is 10 and the widith is 10, using bxh the area is 100. Now let find the aea of the semi-circle. The area of a fill circle is pi radius squared so a semi circle area will be 1/2( pi radius squared). The radius is 5 so we can calculate 1/2 of 25 pi equal = 39.27. Now let add the areas: 100+39.27=139.27.
Find the x-and y-intercepts.
4x + y = 12x - 1
The x-intercept is
The y-intercept is
Answers
Answer:
The x-intercept is [tex]\frac{1}{8}[/tex]
The y-intercept is -1
Step-by-step explanation:
Lets find x-intercept:
for y substitute 0
4x+0=12x-1
subtract 4x both sides
0=8x-1
add 1 both sides
1=8x
divide 8 both sides
[tex]\frac{1}{8}[/tex]=x
lets find y-intercept:
for x substitute 0
4(0)+y=12(0)-1
multiply 4(0) and 12(0) which would equal 0 in this case, you dont have to write the 0s.
y=-1
Hopefully it helps
PLEASE HELP ASAP THIS IS DUE SOON
Answers
Answer:
y= 2/1x
Step-by-step explanation:
1. Mark two points on the coordinate place (1,2) (2,4)
2. Subtract y1 from y2 and x1 from x2
(1, 2) 1
(2, 4) 2
4-2 y, 2-1 x
3. Put y on top of x as a fraction after you've subtracted it (2/1)
4. y= 2/1x
i think this is right...maybe?
Suppose that the functions g and f are defined as follows.
g(x)=-3+2x^2
f(x)=9-6x
a. Find (g/f)(2)
b. Find all values that are NOT in the domain of g/f
If there is more than one value, separate them with commas.
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x[/tex]
Calculating the value of [tex](\frac{g}{f})(2)[/tex]:
[tex]\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)[/tex]
[tex]=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\[/tex]
x=[tex]- \frac{\sqrt{3}}{2}[/tex] and x=[tex]\frac{\sqrt{3}}{2}[/tex] are not in the domain.
Domain: [tex]x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)[/tex]
explain how to find 27 percent of 16
Answers
Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.
4.32
(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)
Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above
Answers
Answer:
A
Step-by-step explanation:
48x^2-8x-18x=3
8x(6x-1)-3(6x-1)
(8x-3)(6x-1)
8x-3
Answer:
Step-by-step explanation:
48x2 - 26x + 3
48x2 - 18x - 8x + 3
6x( 8x - 3) - 1(8x - 3)
(8x - 3) and (6x - 1) are the factors
Option A is the correct answer
Chai Hu deposited $5500 in a savings account earning 6% interest compound quarterly if he makes no other deposits or withdrawals how much will he earn in 25 days
Answers
Answer:
5,477.63
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 6%/100
r = 0.06 per year,
Then, solve our equation for P
P = A / (1 + r/n)nt
P = 5,500.00 / (1 + 0.06/4)(4)(0.068448)
P = 5,500.00 / (1 + 0.015)(0.273792)
P = $ 5,477.63
Summary:
The principal investment required to get
a total amount of $ 5,500.00
from compound interest at a rate of 6% per year
compounded 4 times per year
over 0.068448 years
is $ 5,477.63.
** i got this from calculator soup
Which number will you read 'two-tenths'?
Answers
Answer: two-tenths as a fraction is 2/10, and as a decimal it's 0.2.
Step-by-step explanation: The "0" is the ones place and the "2" is the tenths place. There is a chart below.
On your wedding day you leave for the church 30 minutes before the ceremony is scheduled to start. The church is only 10 miles away, but you have to make an unanticipated stop for construction work on the road. As a result, your average speed for the first 15 minutes is only 5 miles per hour. What average speed do you need to go for the rest of the trip to get to the church on time
Answers
Answer:
You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time
Step-by-step explanation:
We use the following relation to solve the question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
First 15 minutes:
Time of 15 minutes = 0.25 hour, so [tex]t = 0.25[/tex]
Velocity of 5 miles per hour. So the distance is of:
[tex]d = vt = 5*0.25 = 1.25[/tex]
Final 15 minutes:
The will need to drive 10 - 1.25 = 8.75 miles in 15 minutes = 0.25 hours. So, the average speed will need to be of at least:
[tex]v = \frac{d}{t} = \frac{8.75}{0.25} = 35[/tex]
You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time