rewrite the equation by completing the square. 2 2 − 48 = 0 x 2 2x−48=0
Answers
The two possible values for x that satisfy the equation 2x² - 48 = 0 are 0 and 24.
To rewrite the equation 2x² - 48 = 0 by completing the square:
We can find the value of x that satisfies this equation by completing the square. The first step is to factor out the coefficient of the squared term:
2(x² - 24) = 0
To complete the square, we need to add and subtract the square of half the coefficient of x:
2(x² - 24 + 12² - 12²) = 0
Next, we can simplify the expression inside the parentheses:
(x - 12)² - 144 = 0
We can add 144 to both sides to isolate the squared term:
(x - 12)² = 144
Finally, we take the square root of both sides to solve for x:x - 12 = ±12x = 12 ± 12x = 24 or x = 0
The two possible values for x that satisfy the equation 2x² - 48 = 0 are 0 and 24.
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Related Questions
Solve the system by substitution
Question 1)
X=2x
X-y=9
Question 2
Y= -3x
4x -2y= -20
Solve either or or both doesn’t matter
Answers
Answer:
I think its:
Q1= x=(9+y)/2
Q2= x=(-20-6xy)/4
Step-by-step explanation:
Q1)
X-y=9
2x-y=9
2x=9+y
x=(9+y)/2
Q2)
4x-2y=-20
4x-2(-3x)=-20
4x+6xy=-20
4x=-20-6xy
x=(-20-6xy)/4
Please show how u got the answer (due: at 11:59)
Answers
Answer: 5. 420, 6. 450, 7. 750, 8. 756
Step-by-step explanation:
The scale shown is not balanced. Drag base ten blocks to the box to show the amount that x needs to be to balance the scale.
Answers
The amount that x = 153 needs to be to balance the scale. Thus,we would need to drag, One block from A, 5 columns of blocks form B and 3 blocks from C to balance the scale.
What is a Scale?a scale is a device used to measure the weight or mass of an object by comparing it to a known reference weight or mass. It works by using the principle of equilibrium, where the weight on one side is balanced by an equivalent weight on the other side. This allows for accurate measurement of the weight or mass of an object.
This is sometimes represented in math as an equation.
We have an equation given in the above image:
221 = x + 68; to find the required blocks to balance the scale, we must find x.
To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 68 from both sides:
221 - 68 = x + 68 - 68
153 = x
Therefore, x = 153.
Since each Set "A" is a block of 100 Units, Set "B" is a block of 10 Units, and Set "C" is a Unit, we would need to drag, One block from A, 5 columns of blocks form B and 3 blocks from C to balance the scale.
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Full Question;
The scale shown is not balanced. Drag base ten blocks to the box to show the amount that x needs to be to balance the scale. See the attached image.
Remove all perfect squares from inside the square root. √20 = urgent need help now first actual answer gets the thingy
Answers
Answer:
\(2\sqrt{5}\)
Step-by-step explanation:
\(\sqrt{20}\)
20 can be written as a product of 4 and 5.
\(\sqrt{4 \times 5}\)
4 is a perfect square.
\(\sqrt{4} \times \sqrt{5}\)
Square root of 4 is 2.
\(2 \times \sqrt{5}\)
please help on this question
Answers
Answer:
B. 9
Step-by-step explanation:
the trapezoids are the same size so the length of AB is the same length of RS
Colin buys a car for £45500. It decreases in price 6% per year. How much will it be worth in 3 years?
Answers
Answer:
The answer is 33,710 euros.
Step-by-step explanation:
Start by multiplying 45,550 by 6%. This will give 2,730. over the next three years the price decreases, so multiply 2,730 by 3, which is 8,190. Finally, subtract 45,550 by 8,190 to get 33,710.
Use the given x and y values to write a direct variation
equation.
x = 2, y = 30
Answers
Answer:
y = 15x
Step-by-step explanation:
Given x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 2, y = 30, then
30 = 2k ( divide both sides by 2 )
15 = k
y = 15x ← equation of variation
the difference between six times a number and the number is 105
Answers
Answer:
6n-n=105..............
Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he has rolled 185 fours. Find the experimental probability of not rolling a four, based on Jimmy’s experiment. Round the answer to the nearest thousandth.
Answers
In this case, the experimental probability is D. 0.860
Why is this so?First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.
In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.
Then, the probability of rolling a 5 will be equal to:
P1 = 140/1000 = 0.14
Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:
P2 = 1 - 0.14 = 0.86
then the correct option is D
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.
A. 0.140
B. 0.167
C. 0.667
D. 0.860
In 2005, it took 18.54 currency units to equal the value of 1 currency unit in 1915. In 1990, it took only 13.30 currency units to equal the value of 1 currency unit in
1915. The amount it takes to equal the value of 1 currency unit in 1915 can be estimated by the linear function V given by V(x) = 0.3584x + 13.9132, where x is the
number of years since 1990. Thus, V(11) gives the amount it took in 2001 to equal the value of 1 currency unit in 1915. Complete parts (a) and (b) below.
a) Use this function to predict the amount it will take in 2008 and in 2017 to equal the value of 1 currency unit in 1915.
In 2008, it will take currency units.
(Round to two decimal places as needed.)
Answers
Answer:
2008 - 1990 = 18
x = 18
v(x) = 0.3584x + 13.9132
= 0.3584 × 18 + 13.9132
= 6.4512 + 13.9132 = 20.3644 = 20.36
in 2017
2017 - 1990 = 27
= 9.6768 + 13.9132 = 23.59
5) A submarine is cruising at -40 meters (40 meters below the surface). It
descends 20 meters, then rises 35 meters. What is the submarine's new depth? *
-25 m
-95 m
25 m
15 m
Answers
Answer:
-25
Step-by-step explanation:
You begin with -40, then decrease by 20 so your new value is -60, then increase by 35 so your final value is -25m... hope this helps (:
Help Please???
An amusement park prices tickets at $55 and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing, that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.
1. daily earnings of the amusement park after one $2 increase
daily earnings before any $2 increases
number of tickets sold before any $2 increases
2. price of a ticket after x increases of $2
number of tickets sold after x increases of $2
number of tickets sold before any $2 increases
Answers
Answer:
THE COMMENT IS CORRECT
Step-by-step explanation:
Thanks, man.
Answer:
Use the given information to complete the sentences.
The constant of the polynomial expression represents the
daily earnings of the amusement park before any $2 increases
in the price of a ticket.
The binomial is a factor of the polynomial expression and represents the
number of tickets sold after x increases of $2
in the price of a ticket.
Step-by-step explanation:
This year, a small business had a total revenue of 62100. If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?
Answers
Answer:
45000
Step-by-step explanation:
100 + 38 = 138 (Percentage of this year's revenue)
138% = 62100
1% = 62100 ÷ 138 = 450
100% = 450 x 100 = 45000
14√(a2 - 10) - b = 0
If a > 0 and b = 1 in the equation above, what is the value of a?
(A) √11
(B) √14
(C) 4
(D) 8
Answers
The answer is B. √14
A cone with volume 1216 m³ is dilated by a scale factor of 14.
What is the volume of the resulting cone?
Enter your answer in the box.
m³
Answers
The volume of the resulting cone is 3, 336, 704m³
How to determine the valueGiven that the volume of a cone is 1216 m³. We need to find the volume of the resulting cone when the original cone is dilated by a scale factor of 14.
We know that the volume of a cone with radius of the base 'r' and height 'h' is given by;
Volume 1 = 1/3 πr²h = 1216 m³
After dilation, both the radius and height will be increased by 14 times, so the new volume of the resulting cone will be
Volume of dilation = 14³ × 1/3 πr²h
Substitute the value
Volume of dilation = 14³ × 1216
Find the cube
Volume of dilation = 2744 × 1216
Multiply the values
Volume of dilation = 3, 336, 704m³
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You have $20 to buy snacks for
yourself and 4 friends. If you
buy a bag of chips for each
person, and still have $13.75
left, how much did you spend
on each bag of chips?
Answers
you spent $6.25 on everybody ($20-$13.75)
and $6.25 divided by 5 is $1.25 :)
Which expression is equivalent to -2(39 - 2) - (48 + 3)?
1.-10g+7
2.-10g + 1
3.7g-1
4.-1g + 7
Answers
Answer:
2 (assuming equatin you meant was -2(3g - 2) - (4g + 3))
Step-by-step explanation:
-2(39 - 2) - (48 + 3)
-78+4-48-3
= - 125
(assuming that your equation instead is -2(3g - 2) - (4g + 3)
-6g+4-4g-3
-10g+1
1. Rey Mercado has a house valued at $250,000. His mortgage is
for $180,000. How much money can he borrow if the bank will
lend 80 percent of the equity in the home?
2. Your credit card was stolen. You reported the theft within
24 hours. Before the theft was reported, the thief charged
$2,450 at a jewelry store and $1,245 at an electronics store.
How much of the fraudulent charges will you have to pay?
3. Jacki Marshall owes a balance of $5,000 on one credit card that charges 19 percent interest. She can pay off the balance in two years with monthly payments of $252.04. She has another credit card with a balance of $7,500 that charges 20 percent interest.
She can pay off the balance in two years with monthly payments of $381.72. Jacki owns a home valued at $150,000. She can get a home equity loan for $12,500 at 8 percent interest. Jacki can repay the loan in two years with monthly payments of $565.34. How much money will Jacki save if she takes out a home equityloan to pay off the credit card balances?
Answers
Answer:
1. $56,000
2. $3,695
3. $1,644.48
Step-by-step explanation:
1. Equity = valuation - mortgage
= $250,000 - $180,000
= $70,000
80% = 80/100 = 0.8
Therefore, 80% of the equity = 0.8 × $70,000
= $56,000
2. Total charges = jewelry charge + electronics charge
= $2,450 + $1,245
= $3,695
3.
First credit card:
Total payment = two years × monthly payments
= 2 × 12 × $252.04
= $6,048.96
Interest = total payment - balance
= $6,048.96 - $5,000
= $1,048.96
Second credit card:
Total payment = two years × monthly payments
= 2 × 12 × $381.72
= $9,161.28
Interest = total payment - balance
= $9,161.28 - $7,500
= $1,661.28
Home equity loan:
Total payment = two years × monthly payments
= 2 × 12 × $565.24
= $13,565.76
Interest = total payment - balance
= $13,565.76 - $12,500
= $1,065.76
Money saved = (total of interest from credit cards) - home equity loan interest
= ($1,048.96 + $1,661.28) - $1,065.76
= $1,644.48
is f(x)=c Surjective, Injective or Bijective ?
Answers
Answer:
idk p:
Step-by-step explanation:
oof 9:::::::::::::::::::::::::
Answer:
Bijective (I believe)
Step-by-step explanation:
A bijective function, f: X → Y, where set X is {1, 2, 3, 4} and set Y is {A, B, C, D}. For example, f(1) = D.
(x-5)^2 - (x+1)^2+ (x+3)*(x-3)
Answers
Step-by-step explanation:
here's the answer to your question
Find the missing side lengths. Leave your answer as radicals in simplest form.
Answers
The values of the sides are;
41. x = 18√3. Option D
42. x = 6√3. Option A
How to determine the valuesUsing the different trigonometric identities, we have;
41. Using the tangent identity, we have;
tan 60 = 9√2/y
cross multiply the values
y =9√2 ×√3
y = 9√6
Using the sine identity;
sin 45 = y/x
1/√2 = 9√6/x
cross multiply the values, we have;
x = 9√2 ×√3 ×√2
x = 18√3
42. Using the cosine identity
cos 60 = 3√3 /x
cross multiply, we have;
x = 6√3
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Sorry um but help pleasee
Answers
Answer:
For the first one the answer is the 2nd and 3rd one
Step-by-step explanation:
the 2nd one is the 2nd and 3rd one
make brainliest please
I hope i am rigth
What is the average rate of change for this quadratic function for the interval
from x = 1 to x = 3?
O A. -8
B.-4
O O
C. 8
O D. 4
Answers
==========================================================
Explanation:
The table says that when x = 1, the output is y = -2.
So the point (1, -2) is on the parabola.
The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.
Find the slope of the line through those two points. The slope here is the same as the average rate of change.
m = (y2 - y1)/(x2 - x1)
m = (-10 - (-2))/(3 - 1)
m = (-10 + 2)/(3 - 1)
m = -8/2
m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.
help me with this math question
Answers
Answer:
the answer is d(4,-7)
Step-by-step explanation:
-7= -8+1
-7= -7
B - 2 is greater than equal to -1
Answers
The inequality B -2 ≥ -1 gives the value for B ≥ 1.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
B - 2 is greater than equal to -1
Writing the mathematical inequality is
B -2 ≥ -1
B ≥ -1 + 2
B ≥ 1
So, the value of B should be greater than 1.
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BONUS!! Brenda invests $4,848 in a savings account with an interest rate compounded semiannually. If the account balance after 6 years is $6,520.02, what is the interest rate?
(Hint: SADMEP-Do not round calculations until the final answer.)
Round your answer to the nearest percent. ( Two decimal places or a whole number percentage)
Answers
Assuming the interest is compounded semiannually, the interest rate that would be required in order for Brenda to end up with $6,520.02 is 0.68 or 68%.
How to calculate the interest rate?Mathematically, compound interest can be calculated by using this formula:
A(t) = P(1 + r/n)^{nt}
Where:
A represents the future value.n represents the number of times compounded.P represents the principal.r represents the interest rate.T represents the time measured in years.Substituting the given parameters into the compound interest formula, we have;
6,520.02 = 4,848(1 + r/2)^{2 × 6}
1.34488861386 = (1 + 0.5r)^{12}
1.34488861386 = (1.5r)^{12}
Taking the 12th root of both sides of the equation, we have:
1.02499998664 = 1.5r
r = 1.02499998664/1.5
r = 0.68 or 68%.
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Water drips from a faucet at a constant rate of 2/ 3 quarts in 15 minutes. What is the rate that the water drips in quarts per hour.
Answers
The rate that the water drips in quarts per hour, given the rate that the water drips in 15 minutes is 2 . 67 quarters per hour
How to find the rate ?The rate that the water drips from the faucet in 15 minutes is 2 / 3 quarts per quarter of an hour.
The number of 15 minute periods in an hour is :
= 60 minutes per hour / 15 minutes
= 4 periods
The rate that the water drips in quarts in an hour is :
= Rate of water in 15 minutes x Number of 15 minute periods in an hour
= 2 / 3 x 4
= 8 / 3
= 2 . 67 quarters per hour
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Roland needs 8 8 sheets of fabric that are each 45 4 5 yard long. use the drop-down menus to complete the equation. clear check 8 8 sheets 4 4 yards per sheet = = yards 5 5
Answers
Roland needs a 32/5 part sheet of fabric.
Given that,
Roland needs 8 sheets of fabric that are each 4/5 yard long.
We have to determine the length of the sheet of fabric required.
Complete the equation.
According to the question,
To complete the equation following all the steps given below.
Roland needs 8 sheets of fabric that are each 4/5 yard long.
Then,
(a/b)(c/d)
(8/1) (4/5)
32/5
Hence, Roland needs a 32/5 part sheet.
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Chandler's house is due west of Springtown and due south of Livingston. Springtown is 6 miles from Chandler's house and 10 miles from Livingston. How far is Livingston from Chandler's house, measured in a straight line
Answers
Livingston is approximately 8.2 miles away from Chandler's house, measured in a straight line.
To find the distance between Livingston and Chandler's house, we can use the Pythagorean theorem because we have a right triangle formed by Springtown, Chandler's house, and Livingston.
Let's assign variables to the distances:
Let x be the distance from Livingston to Chandler's house (in miles).
Let y be the distance from Springtown to Chandler's house (in miles).
Given information:
Springtown is 6 miles away from Chandler's house (y = 6).
Livingston is 10 miles away from Springtown.
Using the Pythagorean theorem:
According to the theorem, the square of the hypotenuse (the distance between Livingston and Chandler's house) is equal to the sum of the squares of the other two sides.
Applying the theorem, we have:
x² = y² + (10)²
x² = 6² + 10²
x² = 36 + 100
x² = 136
Taking the square root of both sides:
x = √136
x ≈ 11.66
Therefore, Livingston is approximately 8.2 miles away from Chandler's house, measured in a straight line.
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I WILL GIVE BRAINILY (20 PTS)
There are 15 questions, and John got an 84% on the quiz, how many questions did John get right and how many wrong?
Answers
Answer:
John got 13 questions right and 2 questions wrong.
Step-by-step explanation:
15 questions right equals 100%.
100 {divided by} 15 = % for each question right
Each question is worth (100 diveded by 15) 6.7%.
84% {diveded by} 6.7% = 12.5
100% - 84% = 16%
16% {divided by} 6.7% = 2.38
Because 12.5 has a higher dicimle value than 2.38 and when the amount he got right is added to the amount he got wrong it needs to equal 15, 12.5 becomes 13 and 2.38 becomes 2.
Answer:
\(\frac{n}{15} =\frac{84}{100}\)
\(n = \frac{21}{25}*5\)
\(n = \frac{21*15}{25}\)
\(n = \frac{315}{25}\)
\(n = \frac{63}{5} or 12.6\)