Answers
We are given the equation:
√(4x - 2) + 3 = 5
Subtracting by 3 on both sides
√(4x - 2) = 2
Squaring both sides
4x - 2 = 4
Adding 2 on both sides
4x = 6
x = 3/2
Step-by-step explanation:
Hey there!
Given;
[tex] \sqrt{4x - 2} + 3 = 5[/tex]
Shift "3" on right side.
[tex] \sqrt{4x - 2} = 5 - 3[/tex]
[tex] \sqrt{4x - 2} = 2[/tex]
Squaring on both sides.
[tex] {( \sqrt{4x - 2} )}^{2} = {2}^{2} [/tex]
Simplify it.
[tex]4x - 2 = 4[/tex]
[tex]4x = 4 + 2[/tex]
[tex]x = \frac{6}{4} [/tex]
[tex]x = \frac{3}{2} [/tex]
Therefore, X = 3/2.
Hope it helps...
Related Questions
How do break down what is the percentage of change in cost of the pizza
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I need help with 10 please!!!!!!!
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From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)
That means cut ( b ) and ( d ) choice, they both are wrong.
Now look at ( a ) and ( c ).
For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2). f(x) = -2x is just slope and intercepts y-axis at (0,0)
So the answer is ( c )
Lin swims 10 laps in the pool in 25 minutes.
How many minutes per lap is that?
I am not good at math (о´∀`о)
Answers
Answer:
The answer is 2.5 minutes per lap.
Step-by-step explanation:
Divide the number of minutes by the amount of laps:
25/10 = 2.5
To check your answer, multiply 2.5 my the amount of laps.
2.5 x 10 = 25
I hope this helped you! If it did, please consider rating, pressing thanks, and/or giving my answer 'Brainliest.' Have a wonderful day. :)
Answer:
40 seconds per lap
Step-by-step explanation:
10 divided by 25 is 0.4
So im pretty sure the anser is 40 secounds
Sorry if im wrong- im not that great at math eaither I just used a calculator.
Is 0 a real rational irrational integer whole natural number?
Answers
Answer:
0 is a rational, whole, integer and real number. Some definitions include it as a natural number and some don't (starting at 1 instead).
Answer:
0 is a rational, whole, integer and real number.
plese help
plese
plese
Answers
15 seats were empty, so 45 out of 60 seats were taken. 45 divided by 60 is 0.75, which is 75%
There are 30 chickens at a farm that are white. This number represents 12% of the total number of chickens at a farm. How many total chickens are at this farm?
Answers
Answer:
3.6
Step-by-step explanation:
30 of 12% =3.6
hope this helped
Answer:
3.6
Step-by-step explanation:
In a group of 20 students, there are 7 boys.
What is the ratio of girls to boys?
O 13:20
O 13:7
07:20
07:13
Answers
Answer:
13:7
Step-by-step explanation:
20 - 7 = 13 girls
Girls Boys
13 7
Answer:
it would be 7:20 im pretty sure
Step-by-step explanation:
PLEASE ANSWER ASAPPP!!!! REALLY EASY
Chloe and Kiera both wrote numbers, shown below. Chloe: 634,915 Kiera: 369,451 Which statement below is true about Chloe’s and Kiera’s numbers?
Answers
The value of the 6 in Kiera's number is 10x greater than the 6 in Chloe's number
Given the set of test scores: 71, 75, 80, 81, 81, 84, 89, 93. If a score of 50 is added to the data set, which statement is true? Select all that apply. Choose all that apply:
The mean decreases.
The median decreases.
The standard deviation increases.
The range increases.
Answers
Answer:
The standard deviation increases, it's mean, medium and mode, if you put them in order and then go through and get your middle number it'll be 81.
If a score of 50 is added to the data set,
The standard deviation increases.
The range increases.
What is mean?"It is the average of all elements of the data set."
What is median?"It is the middle number in a sorted list of numbers."
Formula to calculate the standard deviation:[tex]SD=\sqrt{\frac{\sum{(x-M)^{2}} }{N} }[/tex]
where, SD is the population standard deviation
N : the size of the population
x : each value from the data
M : the mean of the data
Formula to calculate the range of the data:range = maximum value - minimum value
For given situation,
Consider the original set of test scores: 71, 75, 80, 81, 81, 84, 89, 93
N = 8
range R = 93 - 71
⇒ R = 22
Mean M = (71 + 75 + 80 + 81 + 81 + 84 + 89 + 93)/8
⇒ M = 654/8
⇒ M = 81.75
Now, we find the median K
First we sort given data set: 71, 75, 80, 81, 81, 84, 89, 93
The middle numbers are 81 and 81
So, the median is the average of 81, 81
So, K = 81
Now, we calculate the standard deviation.
[tex]SD=\sqrt{\frac{[(71-81.75)^{2}+(75-81.75)^{2}+...+(89-81.75)^{2}+(93-81.75)^{2}] }{8} }[/tex]
⇒ SD = 6.61
Consider, the set of test scores with 50 added to the data set.
N = 9
range R = 93 - 50
⇒ R = 43
Mean M = (71 + 75 + 80 + 81 + 50 + 81 + 84 + 89 + 93)/9
⇒ M = 704/9
⇒ M = 78.22
Now, we find the median K
First we sort given data set: 50, 71, 75, 80, 81, 81, 84, 89, 93
The middle number is 81.
So, the median is K = 81
Now, we calculate the standard deviation.
[tex]SD=\sqrt{\frac{[(71-81.75)^{2}+(75-81.75)^{2}+...+(50-81.75)^{2}+(93-81.75)^{2}] }{9} }[/tex]
⇒ SD = 11.76
So, we can observe that if a score of 50 is added to the data set, the correct statements are:
The standard deviation increases.
The range increases.
Learn more about mean, standard deviation, median, range here:
https://brainly.com/question/17998130
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Consider the equation a(3-x)=-2x+b What values of a and b make the solution of the equation x=-2? Write a number from the box onto each blank to complete the answer.
Answers
Answer:
4x-7
Step-by-step explanation:
Which of the following is a biconditional statement?
Question 17 options:
A)
If x ≠ 5 then x2 ≠ 25
B)
If x2 = 25, then x = 5 or x = –5
C)
x = 5 if x2 = 25
D)
x = 5 if and only if x + 5 = 10
Answers
It is D
I just took the test and got it right
The biconditional statement is x = 5 if and only if x + 5 = 10.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Biconditional statement.
This means,
The statement and its converse are both true.
Now,
x = 5 if and only if x + 5 = 10
This shows that both the statement and its converse are true.
Thus,
x = 5 if and only if x + 5 = 10 is a biconditional statement.
Learn more about expressions here:
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For which equation does x = 2?
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Answer:
what are the equations
Step-by-step explanation:
How many hundreds are in 200 + 10 + 6
Answers
Answer:
Two.
Step-by-step explanation:
200 + 10 + 6 = 216
216 divided by 100 is 2.16
Therefore there are two hundreds in 200 + 10 + 6
Who ever gets it right gets a Brainliest
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Answer:
im pretty sure thats a trench ;_;
Step-by-step explanation:
The number of patients who reported that a new drug had relieved their pain. discrete or continuous?
Answers
Answer:
Continuously
Step-by-step explanation:
Continuously
10. The table below shows the sales for a flower company for the years 2007 through 2012. Answer the given questions about
this table on your answer sheet.
14 -
A) Graph the data on the scatter plot and draw a line of best fit for the data.
FLOWER SALES
$420
Sales
$395
Year
(in
thousands)
Sales in
$370
2007 $305
thousands)
2008
$345
$330
2009
$345
$330
2010
$370
$305
2007 2008 2009 2010 2011 2012
2011
$395
2012
$420
year
B) Write an equation for the line of best fit for this data.
Let x represent the years since 2007 and y represent the
sales, in thousands of dollars.
C) According to your equation, in what year will the
sales reach about $500 (in thousands)? Use
mathematics to explain how you determined your
answer
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angle?
Can yo help me w this pls
Are these proportional?
Yes | No
Answers
Answer:
yes
Step-by-step explanation:
multiply 6 for the numerators and denominaters
Answer:
Yes they are proportional
Step-by-step explanation:
May I please have brainliest?
After a 15% increase, a town has 115 people. What was the population before the increase?
Answers
Answer:
100 people
Step-by-step explanation:
Population Of People=115Percentagencrease=15%
The New Population corresponds to 115%
(That is 100+15)
We want to find the population that corresponds to 100% that is the original population.
Therefore Original Population;
[tex] \frac{100}{115}\times {115}{} [/tex]
[tex]100 \: people[/tex]
Find the area of the shaded region in the figure below, if the diameter of the circle is 8 and the height of the rectangle is 10.
Use 3.14 for pi and round to the nearest hundredth.
Answers
Answer:
73.72 units²
Step-by-step explanation:
Area of the shaded region = Area if the rectangle - area of the semicircle
Area of the rectangle = length*width
Length = 10 units
Width = 8 units
Area of rectangle = 10*8 = 80 units²
Area of semicircle = ½(πr²)
radius (r) = 8/2 = 4 units
π = 3.14
Area of semicircle = ½(3.14*4) = 3.14*2 = 6.28 units²
Area of the shaded region = 80 - 6.28 = 73.72 units²
Answer: 54.88
Step-by-step explanation:
The shape shown is a circle that overlaps a rectangle. The shaded region is a rectangle with half a circle cut out. To find the area of the shaded region, we can find the area of the rectangle and the area of the overlapping semi-circle and subtract them. The rectangle has a height of 10. The width of the rectangle is the diameter of the circle, 8. First, find the area of the rectangle:
AAA=length×width=10⋅8=80
To find the area of the circle, we need to find the radius. The radius is one half the diameter, therefore r=4. Use the value of r to solve for the area:
AAA=πr2=3.14⋅(42)=50.24
Now we can subtract half the area of the circle from the area of the rectangle:
Area of rectangle−Area of half circle=Area shaded region
80−50.242
A=54.88
So the area of the shaded region is 54.88.
What is the solution to -4|-2x + 6| = -24?
x = 0
x= 0 or x = -6
x = 0 or x = 6
no solution
Answers
x=0 or x=6
bla lee la. la la lee bla
Answers
Answer:laaa vidas so las vi vi ras ony laa viras so las vi vi ras
Step-by-step explanation:laaaa vidas so las vi vi ras boty hastice hastice sola vi vi rasss*birb falling*
(2x+5)^2
is it 4x^2+20x+25?
Answers
I can't help solve my friends problems,I got too much to do help him out please
Answers
Answer:
the ask a question about the question isnt working
Step-by-step explanation:
but can you zoom in its really glitchy and blurred from far away
Yeah I would also need it zoomed in please.
2l+2w for l = 5.2 and w = 6.7
Answers
Answer:
23.8
Step-by-step explanation:
2(5.2) + 2(6.7) = 23.8
Answer:
23.8 ...............
Step-by-step explanation:
I asked my alexa.
What's the slope and y-intercept?
Help please!!!
Answers
Answer:
slope of fig 1st(m)= 1/4
y-intercept of 1st fig=-1
slope of fig 2= -1
y-intercept of 2nd fig=2
Step-by-step explanation:
A teacher kept track of what students consumed at a school picnic. For three grades, the ratios of the amount of water consumed to the amount of fruit juice consumed were equivalent
6th: 5 water 6 juice
7th 20 water ___ juice
8th 10 water ____juice
Answers
Answer:
the first one is 21 and the second one is 11
Step-by-step explanation:
I am not 100 percent sure
Fihd the area of the triangle.
6
8
square units
Answers
Answer:
area of triangle is
[tex]\frac{1}{2} * b*h\\\\\frac{1}{2} *6*8\\\\6*4=24[/tex]
What will answer the question 2+2?
Answers
Answer: 4.
Step-by-step explanation: 2 + 2 is 4.
A newspaper’s cover page is 3/
8 text, and photographs fill the rest. If 2/
5 of the text is an article about
endangered species, what fraction of the cover page is the article about endangered species
Answers
Answer:
The answer is 0.15
Step-by-step explanation:
In this 2/5 of 3/8 is about endangered species
Therefore to obtain the answer we need to multiply the two fractions
2/5 × 3/8
Fraction of the cover page about endangered species is therefore = 2/5 × 3/8
= 0.15
not sure need help
Answers
Answer:
A (1,-3)
Step-by-step explanation:
it is asking where on the graph is each point. it even gives you where it is located.
The coordinates of the triangle A"B"C" are A"(3, 2), B"(-1, 4) and C"(2, 0).
From the given graph, the coordinates of triangle ABC are A(1, -3), B(5, -1) and C(2, -5).
1) We know that, the reflection of point (x, y) across the y-axis is (-x, y).
Here,
A(1, -3)→A'(-1, -3)
B(5, -1)→B'(-5, -1)
C(2, -5)→C'(-2, -5)
2) The transformation with <4, 5> are
A'(-1, -3)→A"(-1+4, -3+5)
= A"(3, 2)
B'(-5, -1)→B"(-5+4, -1+5)
= B"(-1, 4)
C'(-2, -5)→C"(-2+4, -5+5)
= C"(2, 0)
Therefore, the coordinates of the triangle A"B"C" are A"(3, 2), B"(-1, 4) and C"(2, 0).
To learn more about the reflection over y-axis visit:
https://brainly.com/question/15175017.
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