You can use the simplified equation to find the solution.
The positive solution of given equation is x = 3
What is a positive solution of given equation?
When we find the solution of the equation, we find the values of the variables for which the given equation is correct. Sometimes the values of the solutions comes out negative and sometimes positive and sometimes both or can be 0 too.
To find positive solutions, we only consider those solutions which are positive.
Simplification of the given equation[tex]0 = \dfrac{1}{3}x^2 - 3\\ \\ \text{Adding 3 on both sides}\\ \\ 3 = \dfrac{1}{3}x^2\\ \\ \text{Multiplying 3 on both sides}\\\\ 9 = x^2\\ \\\\ \text{taking square root}\\ 3 = \pm x\\ x = \mp 3 \\ (x = 3), (x = -3)[/tex]
Thus, x = 3, and x = -3 are the solutions to given equation.
The positive solution to the given equation is x = 3.
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What is the product of −2 2/5 and −3 5/6 ?
The school store sells 18 folders for $4.50. Which is NOT a unit rate to describe this sale?
Will give BRAINLIEST if right!
Write the number in standard notation.
7.21×10^−3
721,000
72,100
0.000721
0.00721
To convert a number from scientific notation to standard form, consider 1.5625 x 10^4. First, focus on the exponential number, which is 10^4. Multiply the base number, which is 10, by itself the number of times indicated by the exponent, which is four. You would do that like this:
10 x 10 x 10 x 10 = 10, 000
Plug the product -- which is 10,000 -- into the original equation to get this:
1.5625 x 10,000 = 15, 625
Therefore, the standard form of this number is 15,625.
For a number in expanded form, convert the number, using basic addition. For example, consider the expanded number 10,000 + 2000 + 100 + 10 + 9. Add up these numbers to get the standard form. Your equation would look like this:
10,000 + 2,000 + 100 + 10 + 9 = 12,119
Therefore, the standard form of the number is 12,119.
write the place value of the underlined digit. round each number to the place of the underlined digit 2.348 *3 is underlined*
Determine the x- and y-intercepts of the graph of y=−12x−4
can someone please help me with this ?
Factor x4 y2 + x3 y3
It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end. How long will it take you to read 6.25 pages and also take the test?
Answer: It will take 10.5 minutes to read 6.25 pages and take the test.
Step-by-step explanation:
Hi, the expression that represents this situation is :
0.8 p + 5.5
Since each reading each page of the health book takes 0.8 minutes, we have to multiply that time by the number of pages read (p) and add the time that spent on taking the test (5.5).
So, if the number of pages is p=6.25, we simply replace p in the expression.
0.8 (6.25) +5.5 = 5+5.5 = 10.5 minutes
It will take 10.5 minutes to read 6.25 pages and take the test.
The ratio of the quantities of sugar and flour need to bake a cake is 2 to 5. What is the quantity of sugar needed for a cake, if 750 g of flour are used to make it
Determine the least common multiple of 12, 48, and 96.
12
36
48
96
Calculate 1/4+(-5/12)+(-2/3)
Ten identical cards are numbered 1 to 10. The cards are shuffled. One card is selected at random. what is the probability that the number written on it is:
10?
5?
Not 10?
An Odd Number?
A number less than 4?
A number greater than 7?
you have a 4x6 photo of you and your friend. You order a 5x7 print of the photo. Is the new photo similar to the original?
Marika and her three friends attended a school play. Tickets cost 5.75 each and marina paid for everyone find the total cost of the tickets justify answer by using distributive property
The total cost of tickets for Marika and her three friends to attend a school play, with each ticket costing $5.75, is calculated using the distributive property to be $23.
Explanation:The question asks to find the total cost of tickets for Marika and her three friends attending a school play, with each ticket costing $5.75, and to justify the answer using the distributive property.
To calculate the total cost, we can use the formula for the total cost which is the number of tickets times the cost of one ticket. In this case, Marika is buying tickets for herself and three friends, making it a total of 4 tickets.
Therefore, using the distributive property, the total cost can be calculated as 4 tickets × $5.75 per ticket.
Using the distributive property, we can represent this as:
(4 × $5) + (4 × $0.75) = $20 + $3 = $23
Thus, the total cost of the tickets is $23.
what's 7xb +2ya +7xb
Whats the relationship between 8.76x10^6 and 8.76x10^2
Calvin cleans 3/5 of his bathroom with 1/3 of a bottle of cleaning solution.At this rate, what fraction of the bottle of cleaning solution will Calvin use to clean his entire bathroom?
5/9 fraction of the bottle of cleaning solution will Calvin use to clean his entire bathroom.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b are two number, then their fraction can be represent as a/b.
Given that,
Calvin cleans 3/5 of his bathroom with 1/3 of a bottle of cleaning solution,
This implies that,
3/5 fraction of the whole bathroom takes 1/3 of the bottle
The entire bathroom will take= 1/3×5/3 = 5/9 of the bottle.
A 5/9 fraction will be used to clean the entire bathroom.
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what is the reciprocal of 3 and 1/5
The school auditorium has 448 chairs set out for the third grade performance what is 448 rounded to the nearest ten
What is the first answer to the first question
Answer:
2.99
Step-by-step explanation:
Use prime factorization to find the LCM of 10 and 12
-4k + 3.6=7.8 solve the equation
solve for k. 2S=n(a+k)
How do you do Mental Division?
Assume a trucker changes his tire every 40,000 miles, and that he starts with a brand new set of tires, how many sets of tires will he use in a year.
What does 3 divided by 5 equal to
Plot the line for the equation on the graph.
y−4=−1/4(x−5)
Answer: we will rewrite the given equation y-4 =[tex]\frac{-1}{4} (x-5)[/tex] in slope intercept form.
so, we get
y = [tex]\frac{-1}{4} x+\frac{21}{4}[/tex]
slope = [tex]-\frac{1}{4}[/tex] and y-intercept = [tex]\frac{21}{4}[/tex]
now, we have to make the table of x and y
now we consider different values of x to find the value of y corresponding values of x using equation y = [tex]\frac{-1}{4} x+\frac{21}{4}[/tex]
X Y
0 [tex]\frac{21}{4}[/tex]
1 5
2 [tex]\frac{19}{4}[/tex]
3 [tex]\frac{18}{4}[/tex]
have a look at the attachment for graph.
Attached graph is having a downward-sloping line with y-intercept (0, 21/4) and a slope of -1/4. Equation: y = (-1/4)x + 21/4.
To plot the line for the equation y - 4 = -1/4(x - 5),
first rewrite it in slope-intercept form (y = mx + b), where 'm' is the slope, and 'b' is the y-intercept.
y - 4 = -1/4(x - 5)
Distribute the -1/4 on the right side:
y - 4 = (-1/4)x + 5/4
Move -4 to the right side by adding 4 to both sides of the equation:
y = (-1/4)x + 5/4 + 4
Combine constants on the right side:
y = (-1/4)x + 5/4 + 16/4
Combine fractions on the right side:
y = (-1/4)x + 21/4
Now the equation in slope-intercept form (y = mx + b) where the slope (m) is -1/4, and the y-intercept (b) is 21/4.
To graph the line, follow these steps:
Plot the y-intercept point (0, 21/4).
Use the slope (-1/4) to find additional points. The slope -1/4 means that for every 4 units you move to the right, go down 1 unit.
Draw a straight line passing through the points you plotted.
Here are a few more points you can use to plot the line:
When x = 0, y = 21/4.
When x = 4, y = 21/4 - 1 = 17/4.
When x = 8, y = 21/4 - 2 = 13/4.
Now, plot these points on the graph and draw a straight line passing through them.
The graph should look like a downward-sloping line.
Attached graph.
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Which graph represents y=⌈x⌉ over the domain 3≤x≤6 ?
Answer:The third graph (left of the bottom) represents [tex]y=\left \lceil x \right \rceil[/tex]over the domain 3≤x≤6.
Step-by-step explanation:
The Least Interger Function is represented by [tex]y=\left \lceil x \right \rceil[/tex].
The least integer function is a discontinuous function whose value at any number x is the smallest integer greater than of equal to x .It is denoted by [tex]\left \lceil x \right \rceil[/tex].and It is also known as ceiling of x. For example
[tex]\left \lceil3.4\right \rceil=4,\left \lceil5.6\right \rceil=6. \left \lceil4.4\right \rceil=5[/tex]
So the third graph (left of the bottom) represents [tex]y=\left \lceil x \right \rceil[/tex]over the domain 3≤x≤6.
[we can see all the value of x starting from 3 pointed at y=3 and for x≤ 4 are converging to y=4 which is represented by solid dot and so on ... ]
You use the length of your shoe to measure your room. Your shoe is 9.75 inches long. You walk across the room, heel to toe, and count 17.5 shoe lengths.
About how long is your room in inches?
the length of the room is 170.63 inches.
The length of the room in inches is [tex]\( 9.75 \text{ inches/foot} \times 17.5 \text{ shoe lengths} = 170.625 \text{ inches} \), or approximately \( 170.63 \) inches.[/tex]
To calculate the length of the room, we first need to determine the total distance traveled by walking across the room, heel to toe, in terms of shoe lengths, and then convert that distance into inches.
Given:
- Length of shoe = 9.75 inches
- Number of shoe lengths walked across the room = 17.5 shoe lengths
First, we find the total distance walked in inches:
[tex]\[ \text{Total distance} = \text{Length of shoe} \times \text{Number of shoe lengths} \][/tex]
[tex]\[ \text{Total distance} = 9.75 \text{ inches/shoe} \times 17.5 \text{ shoes} \][/tex]
[tex]\[ \text{Total distance} = 170.625 \text{ inches} \][/tex]
Rounded to two decimal places, the length of the room is approximately 170.63 inches.
Here’s a bit more detail on each step:
1. Convert Shoe Length to Inches: Since each shoe length is 9.75 inches, we use this conversion factor to turn the shoe lengths into inches.[tex]\( 17.5 \) shoe lengths \(\times\) \( 9.75 \) inches/shoe = \( 170.625 \) inches.[/tex]
2. Round Off: We round off the final answer to two decimal places, giving us a room length of approximately \( 170.63 \) inches. This rounding is common in measurements where precision beyond two decimal places isn't necessary.
3. Explanation Summary: By multiplying the length of the shoe by the number of shoe lengths walked across the room, we can accurately calculate the total distance traveled and thus determine the length of the room.
complete question
You use the length of your shoe to measure your room. Your shoe is 9.75 inches long. You walk across the room, heel to toe, and count 17.5 shoe lengths.
About how long is your room in inches?
what is three fourths of 500