Answers
9514 1404 393
Explanation:
Both sides of the equation are squared.
[tex]\dfrac{x-12}{4}=\sqrt{x} \qquad\text{given}\\\\ \left(\dfrac{x-12}{4}\right)^2=x \qquad\text{square both sides}\\\\ \left(\dfrac{x}{4}-3\right)^2=x \qquad\text{divide out the fraction}\\\\ \dfrac{x^2}{4^2}-\dfrac{6}{4}x+9=x \qquad\text{$(a-b)^2=a^2-2ab+b^2$}\\\\\dfrac{x^2}{16}-\dfrac{5x}{2}+9=0 \qquad\text{subtract $x$}[/tex]
I like this better without fractions, so would multiply by 16 at this point (or earlier).
x^2 -40x +144 = 0
(x -36)(x -4) = 0
x = 4 or 36 . . . . . . x = 4 is extraneous
The solution is x = 36.
Related Questions
Which of the following expressions is equivalent to x+14−3x−27−11y
?
A
12x−11y−27
B
4x+11y+41
C
12x−38y
D
−2x−11y−13
Answers
Answer:
The answer is D)-2x-11y-13
Step-by-step explanation:
Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 3), and goes through (4, 0).
Answers
Answer:
f(x) = 3(x - 3)^2 - 3Step-by-step explanation:
Let the base function be
f(x) = ax^2It has the vertex at (3, -3), so it is translated 3 units right and 3 units down:
f(x) = a(x - 3)^2 - 3It has zero's at (2, 0) and (4, 0)
Substitute and solve for a:
a(x - 3)^2 - 3 = 0a(2 - 3)^2 = 3a = 3or
a(4 - 3)^2 - 3 = 0a = 3So the function is:
f(x) = 3(x - 3)^2 - 3See the attached
Answer:
f(x) = 3x2 – 18x + 24
Step-by-step explanation:
just took the test
Find the perimeter of the following triangle. Round your answer to the nearest hundredth.
Answers
Step-by-step explanation:
step 1. The perimeter (P) is the length around the triangle.
step 2. P = 6 + 5 + L (the length of the hypotenuse)
step 3. L = sqrt(6^2 + 5^2) = sqrt(61) where sqrt is the square root
step 4. P = 11 + sqrt(61) = 18.81.
In math what is 2x=y+b
Answers
Answer:
y= -2x+b
Step-by-step explanation:
-) Colin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win
more than 200 points. He wants to know how many gold coins he needs to find.
) Let g be the number of gold coins Colin finds. Which inequality represents the situation?
259 > 200
259 > 200
25 +9 > 200
25+ 9 > 200
Answers
Answer:
A
Step-by-step explanation:
25g>200
so A
if my answer helps please mark as brainliest.
Amanda plans on going to the amusement park this Friday. It costs $25.00 to
enter the park, and then $1.25 for every ride that Amanda goes on. What will be
the total cost if Amanda goes on 9 rides?
Answers
Answer:
$36.25
Step-by-step explanation:
To enter the park, Amanda pays 25 dollars.
+$25
It costs 1.25 for every ride that Amanda goes on.
Since we don't know the number of rides Amanda goes on, we will add a variable to represent the number of rides.
1.25x
Then, the passage says that Amanda goes on 9 rides. So, substitute 9 for x.
Equation: 25+1.25(9)
Then solve:
$36.25
Someone help for 5 and 6
Answers
15. Asher weighs 15 pounds less than three times the weight of Audrey, his sister. Asher
weighs 27 pounds. Write an equation that can be used to find w, the weight of Audrey. Then,
solve the equation
Equation:
Solution:
Answers
Answer:
15x-y=27
Step-by-step explanation:
I think if im wrong my apologies haven't done that in a bit
The weight of Audrey will be 14 pounds based on the given equation formation.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Suppose the weight of Asher is x then according to the given question,
x = 3w - 15
And, x = 27
27 = 3w - 15
3w = 42
w = 14 pounds
Hence "Weight of Audrey will be 14 pounds based on the given equation formation".
For more about the equation,
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Stacey has 4 sheets of paper make cards. Each card requires 1/3 sheet of paper. How many cards can Stacey make?
Answers
Answer:
12 cards
Step-by-step explanation:
there are three 1/3 in a whole piece of paper. if we have 4 sheets and can make 3 cards out of 1 sheet, multiply 3 by 4 and get 12.
There are 600 seats in the Marshall Middles School Auditorium. Students are sitting in 4/5 of the seats in the auditorium. Teachers are sitting in 55 of the seats. How many seats are not being used?
A. 60
B. 65
C. 70
D. 75
Answers
Answer:
B. 65
Step-by-step explanation:
600 * 4/5 = 480 seats used by students
55 teachers + 480 students= 535 seats used
600-535 = 65 seats left over
please i need help if you know it please let me know how you got it if u want if u dont its finee
Answers
In this case the c (hypotenuse) is x. Our equation will look like this:
x^2=15^2+8^2
x^2=225+64
x^2=289
We do the square root to undo ^2
x = 17
(-6-4) divided by (-5)
Answers
Answer:
2
Step-by-step explanation:
Simplify the following:
(-6 - 4)/(-5)
Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.
-6 - 4 = -(6 + 4):
(-(6 + 4))/(-5)
Hint: | Evaluate 6 + 4.
6 + 4 = 10:
(-10)/(-5)
Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.
The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):
(-2)/(-1)
Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).
(-2)/(-1) = (-1)/(-1)×2 = 2:
Answer: 2
The equivalent value of the fraction is A = 2
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the numerator of the fraction be p
Let the denominator of the fraction be p
Now , A = p/q
when the value of p = ( -6 - 4 )
And , when the value of q = ( -5 )
On simplifying the equation , we get
A = ( -6 - 4 ) / ( -5 )
So , the left hand side of the equation is equated to the right hand side by the value of ( -6 - 4 ) / ( -5 )
A = ( -6 - 4 ) / ( -5 )
A = ( -10 ) / ( -5 )
On simplifying , we get
Divide by -1 on both numerator and the denominator , we get
A = 10/5
A = 2
Therefore , the value of A = 2
Hence , the fraction is A = 2
To learn more about fractions click :
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If there are 24 cats in the exhibit, how many tigers do you have?
Answers
Answer:
8
Step-by-step explanation:
If you have 8 loins and 4 tigers you add those up, you now have 12, if you have 24 cats that means that you double that, 12 x 2 =24 (boom) so now you know you just have to double 4 into 8.
Because for every 8 loins there are there are 4 tigers.
(double trouble)
Number 15
Please help I need to turn this in today!
Answers
Answer:
d is equal to or greater than 9
Step-by-step explanation:
Subract thirteen from both sides of the equation.
ayuda please es mi examen
Answers
Answer: B. 10
Step-by-step explanation: Hope this help :D
Help plzzzzz when this question ASAP
Answers
i am pretty sure this is the answer:
y=5x+4
Answer: y=5x+4
Step-by-step explanation:
Meagan is buying a large box from the post office to send a birthday gift to her grandmother in Enid, Oklahoma. The dimensions of the box are 18 inches × 15.5 inches × 14 inches. What is the volume of the largest gift she can send to her grandmother?
suck at finding volume
Answers
Answer:
Hmm this is hard lemme think
Step-by-step explanation:
The answer should be 18 vol. bc it said what is the biggest gift she can send her grandma
Answer:
answer should be 18 vol
Step-by-step explanation:
PLZ HELP ME I BEG OF YOU!?!
Answers
Answer:
5/9
[tex] \frac{5 \div 9}{4 \div 15} = \frac{5 \times 15}{9 \times 4} = \frac{25}{12} [/tex]
Solve the system of equations - 8x - 5y = -13 and - 4x – 5y = 11 by
combining the equations.
Answers
Answer:
(6,-7)
Step-by-step explanation:
subtract them:
-8x - 5y = -13
-4x - 5y = 11
you get
-4x = -24
so x = 6
plug x into the second equation:
-24 - 5y = 11
-5y = 35
y = -7
so your solution is (6,-7).
Answer:
Your solution is (6, -7).
Step-by-step explanation:
Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.
-8x - 5y = -13
-4x - 5y = 11
Let's change the second equation into one with one variable on each side.
-5y = 4x + 11
y = -4/5x - 11/5
Now, plug this into your first equation.
-8x - 5(-4/5x - 11/5) = -13
Distribute the -5 sign.
-8x + 4x + 11 = -13
Combine the like terms.
-4x + 11 = -13
-4x = -24
Isolate x by dividing both sides by -4.
x = -24/-4
x = 6
Now plug this back into either equation.
y = -4/5(6) - 11/5
Multiply.
y = -24/5 - 11/5
Subtract.
y = -35/5
Simplify.
y = -7
Your solution is (6, -7).
Check this by plugging in these values into the equation you have not checked yet.
-8(6) - 5(-7) = -13
-48 + 35 = -13
-13 = -13
Your solution is correct.
Hope this helps!
Find the x- and y-intercepts of the graph of the linear equation 3x+6y=2
Answers
Answer:
x-intercept: 2/3
y-intervept: 1/3
Step-by-step explanation:
3x + 6y = 2
You're supposed to 'cover them'.
If you want to find the x-intercept, you will cover 6y like it doesn't exist. So now, it's going to be:
3x = 2
You'll then solve for x, which will be the x-intercept
3x/3 = 2/3 (Divide both sides by 3)
x = 2/3 or 0.66... (the 6 goes on forever)
Now, to find y, you'll act like x doesn't exist. It's going to be:
6y = 2
Solve for y, which will be the y-intercept
6y/6 = 2/6 (Divide both sides by 6)
y = 1/3 or 0.33... (the 3 goes on forever)
If you put them as coordinates:
x-intercept: (2/3, 0)
y-intercept: (0, 1/3)
Is it true or false?
Answers
Answer:
True
Step-by-step explanation:
Circumference is diameter x [tex]\pi[/tex]
When you divide [tex]\pi[/tex], you get diameter
The difference between six times a
number and one is seventeen
Answers
Answer:
3
Step-by-step explanation:
17 + 1 = 18
18/6 = 3
w
Dan's circular
pool has a
circumference of
18.84 meters.
What is the
diameter of the
pool?
(use
13.14)
IS
Answers
Answer:
6 MetersExplanation:
Diameter = Circumference ÷ πCircumference: 18.84
π: 3.14
18.84 ÷ 3.14
= 6 MetersOrder these numbers from least to greatest.
5.019, 5.1982, 5.5, 5.19
Answers
Answer:
5.019 < 5.19 < 5.1982 < 5.5
Step-by-step explanation:
You have to look at the place values
pls help me it is important
Answers
Answer:
pls help me too
Step-by-step explanation:
Write the equation of the line that has a slope of four and passes through the point 6,5
Answers
Answer:
4x-y=19, y=4x-19
Step-by-step explanation:
I learned a really quick way to do these in geometry.
Let's use standard form or ax+by=c.
Slope of 4: 4x - y = c.
Passes through point 6,5.
4(6) - 5 = c
c= 24-5
c=19
4x-y=19
y=4x-19
Plz help !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
x^2 + 7x + 5x + 35
7x : II
5x: III
35: IV
James is a botanist studying the production of beans by two types of bean plants.
He noticed that the string bean plant produced 30% more beans than the lima bean
plants. Based on James' observation, if the string bean plants produced 130 string
beans, how many lima beans did the lima bean plant produce?
Answers
Answer:
100 lima beans
Step-by-step explanation:
We can write an equation with s = string beans and l = lima beans:
s = 1.3l
We can now plug in 130 = s to get:
130 = 1.3l
We divide both sides by 1.3 and get:
100 = l
That means the lima bean plant produced 100 lima beans
Answer:
91
Step-by-step explanation:
130 * 30% =
130 * 0.3 =
39
130 - 39 = 91
Is this relation a function?
Answers
Answer: I dont think so
Step-by-step explanation:
Rate of change and slope. Can anybody help me? This is a major and I do not understand the problem.
Answers
Step-by-step explanation:
1. the rate of change is constant. the slope is 3
2. the rate of change is variable, because it's not consistent.