x + y = 50
Q = x * y
Combining the two:
Q = x * (50 - x)
Q = 50x - x^2
Q = -x^2 + 50x
Q = -(x^2 - 50x)
Q = -(x^2 - 2 * 25x + 25^2 - 25^2)
Q = 25^2 - (x - 25)^2
Q = 625 - (x - 25)^2
So what we got is an equation for parabola with a vertex at
(25 , 625) and it opens downward. We know that parabolas only have one critical
value, so if x and y are unrestricted, then there's no minimum product.
No, there cannot be a minimum product. The product of two numbers is maximized when the numbers are equal or close to each other.
Explanation:The student is asking if there can be a minimum product when x and y are numbers whose sum is 50 and we are trying to maximize the product xy. The answer is no, there cannot be a minimum product. This is because the product of two numbers is maximized when the numbers are equal or close to each other. In this case, when x = 25 and y = 25, the product xy is maximized at 625. If x and y were further apart, the product would be smaller.
Thus,
Q = x * (50 - x)
Q = 50x - x^2
Q = -x^2 + 50x
Q = -(x^2 - 50x)
Q = -(x^2 - 2 * 25x + 25^2 - 25^2)
Q = 25^2 - (x - 25)^2
Q = 625 - (x - 25)^2
A picture is enlarged by keeping its width the same and increasing its length. The scatter plot shows the perimeter of the picture (y) for different lengths (x):
Answer: This is the CORRECT answer ----> y = 2x + 20
Step-by-step explanation: slope, y2 - y1/x2 - x1
replace it with these numbers 120 - 60/50 - 20=60/30
than,simplified it we get 2/1. so, now we have the slope of our equation
y = 2x + b. but we still have b (or where the y intersects.) now are slope we have to change it to 1/2 because we are going backwards. So multiply 60 by .5, Thus will give us 30
Now we have y = 2x + 30, But that's not one of your answer,
So y = 2x + 20 cant be -20 because this is a positive y intersect and We know it is a slope of 2.
Therefore the answer is : y = 2x + 20
ALSO I know it's correct because I got it right on the test!! Hoped I helped :))
At the city museum, child admission is $5.20 and adult admission is $8.50 . on friday, three times as many adult tickets as child tickets were sold, for a total sales of $1074.50 . how many child tickets were sold that day?
What is the slope of the line that passes through the points (-3,-3) And (-9,5) ?
Hello!
Step-by-step explanation:
Slope: [tex]\frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}[/tex]
[tex]\frac{5-(-3)=5+3=8}{(-9)-(-3)=-9+3=-6}=\frac{8}{-6}=\frac{8/2}{-6/2}=\frac{4}{-3}[/tex]
Slope is -4/3
Answer is -4/3
Hope this helps!
-Charlie
Thank you!
:)
:D
Help Pre calc!
Identify the x values for which f(x) >- 2
I think the answer would be -2 <= x <= 2?
A social worker examines the level of aggression (measured on a 100-point scale) of four groups of individuals before they begin anger management classes. using the weighted mean, determine the overall mean level of aggression for all four groups. group 1: mean = 82, n = 15; group 2: mean = 87, n = 12; group 3: mean = 93, n = 22, and group 4: mean = 79, n = 11
Solve for a. 15(25−5a)=4−a
A- 0
B-−1
C-all real numbers
D- no solution
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
[tex]\dfrac{1}{5}(25-5a)=4-a[/tex]
We need to find the value of 'a'.
First we simplify the brackets :
[tex]\dfrac{1}{5}(25-5a)=4-a\\\\25-5a=5(4-a)\\\\25-5a=20-5a\\\\25-20=-5a+5a\\\\5=0[/tex]
which is wrong.
Hence, there is no solution.
Therefore, Option 'D' is correct.
What expression completes the equation 30/2+10
A. 3(2+3)
B. 7(2+1)
C. 6(3+7)
D. 5(4+1)
what is the algebraic expression for the following word phrase: the sum of 5 and 2x?
a. 7x
b. 5+2
c. 5x +2x
d. 5+2x
(please choose the correct one)
List in order the specific operations that you would use to isolate X in the following equation show the step that corresponds to each operation
7 + 3 (2 - 3x) = 67
Which age group is appropriate to receive the 2-dose hpv9 vaccine series?
The 2-dose HPV9 vaccine series is appropriate for individuals between the ages of 9 and 14, according to the CDC.
Explanation:The 2-dose HPV9 vaccine series is appropriate for individuals between the ages of 9 and 14 years old, according to the Centers for Disease Control and Prevention (CDC).
It is recommended to receive the first dose at the age of 11 or 12, and the second dose 6 to 12 months after the first dose.
If the vaccine series is started after the age of 14, three doses are required for full protection.
Learn more about HPV9 vaccine series here:https://brainly.com/question/5006982
#SPJ12
Round 90608.5881594 to 1 decimal place
Answer:
90608.6
Step-by-step explanation:
Round 90608.5881594 to 1 decimal place
To round the answer to 1 decimal place , we round the answer to nearest tenth.
In the given number , 5 after decimal point is in tenths place
8 is in hundredths place
Here 8 in hundredths place is greater than 5. If it is greater than 5 then we add 1 in tenths place
So 5 in tenths place becomes 6
90608.5881594 to 1 decimal place is 90608.6
Subtract the following military times: 2330 - 0540
To find the difference between two times in military format, convert each time to minutes. Subtract the later time from the earlier one, and then convert the result back to hours and minutes. The difference between 2330 and 0540 is 17 hours and 50 minutes.
Explanation:To calculate the difference between two military times, we first need to understand that military time runs on a 24-hour clock rather than a 12-hour clock. In this instance, you are being asked to subtract 05:40 from 23:30.
First, it would be easier to convert these times into minutes. So, 23:30 becomes (23*60) +30 = 1410 minutes. Similarly, 05:40 becomes (5*60) +40 = 340 minutes.
Then we subtract the two: 1410 - 340 = 1070 minutes. Now, we convert it back to hours and minutes. There are 17 hours and 50 minutes in 1070 minutes. Therefore, the difference between 2330 and 0540 in military time is 1750 or 17 hours and 50 minutes.
Learn more about Military Time here:https://brainly.com/question/30389605
#SPJ12
Final answer:
To subtract the military times 2330 from 0540, convert 1 hour to 60 minutes, add to the minutes of 2330, and then subtract both the hours and minutes separately. The result is 17 hours and 50 minutes.
Explanation:
Subtracting military times requires understanding the 24-hour clock system and being able to handle situations where you must "borrow" time from one hour to subtract minutes from another. To subtract 2330 (11:30 PM) from 0540 (5:40 AM), we need to do the following:
First, recognize that 2330 is later than 0540, so we will be finding how much time elapses from 0540 to 2330.Since we cannot subtract a larger minutes unit from a smaller one, we convert one hour from the hour's digit of 2330 into 60 minutes and add this to the 30 minutes already present, giving us 90 minutes.Now we have 22 hours and 90 minutes.Subsequently, subtract the minutes: 90 - 40 = 50 minutes.Finally, subtract the hours: 22 - 5 = 17 hours.The result is 17 hours and 50 minutes.
Write 0.76 as a fraction. then looking at the decimal, circle t for terminating or r for repeating
Each marble bag sold by jenny's marble company contains 3 yellow marbles for every 5 orange marbles. if a bag has 15 yellow marbles, how many orange marbles does it contain?
Chris had a tin of 24 cookies he has eaten 2/4 of the cookies how many cookies did he eat
How do u graph linear equations like this where it's just y=-5x ?Plz explain
Question 3(Multiple Choice Worth 5 points) (01.06) Jack and Jill had 5 pails of water. Each trip up the hill, Jack and Jill obtained 2 more buckets of water. Which of the graphs below represents Jack and Jill's number of pails over time? graph of line going through 1, 7 and 2, 12 graph of line going through 1, 7 and 3, 11 graph of line going through 2, 6 and 4, 7 graph of line going through 0, 2 and 6, 3
The graph which represents Jack and Jill's number of pails over time is:
graph of line going through (1,7) and (3,11) Step-by-step explanation:It is given that:
Jack and Jill had 5 pails of water. Each trip up the hill, Jack and Jill obtained 2 more buckets of water.
Let x be the number of hills they tripped.
and y denote the number of buckets of water they have.
Then the equation which represent the relationship between y and x is:
[tex]y=5+2x[/tex]
On making a table for x and y:
x y
1 7
2 9
3 11
4 13
5 15
6 17
Hence, the graph will pass through the points (1,7) (2,9) (3,11) (4,13) (5,15) (6,17) and many more.
A=12h(a+b) Solve for h.
The equation can be solved for h by isolating h on one side. This is achieved by dividing A by 12(a+b), resulting in h = A / 12(a+b).
Explanation:To solve for h in the equation A=12h(a+b), we first need to isolate h. This can be done by dividing both sides of the equation by 12(a+b). Therefore, the equation becomes: h = A / 12(a+b).
https://brainly.com/question/33839116
#SPJ12
To find the height h in A = 12h(a + b), isolate h by dividing both sides by 12(a + b), yielding [tex]\( h = \frac{A}{12(a + b)} \)[/tex]. This formula relates height to area and base lengths in geometric contexts.
To solve for h in the equation A = 12h(a + b), we need to isolate h on one side of the equation. Begin by dividing both sides by 12(a + b):
[tex]\[ \frac{A}{12(a + b)} = h \][/tex]
This gives us the expression for h. The solution is [tex]\( h = \frac{A}{12(a + b)} \)[/tex]. This formula represents the height h in terms of the area A, and the values of a and b.
The denominator 12(a + b) reflects the combined base lengths scaled by 12, and the height h is determined by the ratio of the given area A. This formula allows you to compute the height when the area and base lengths are known, providing a versatile tool for various geometric applications, especially in contexts like rectangular shapes or parallelograms.
Let −→ ab= h2, −3, −1i. if the coordinates of a are (2, −1, 5), what are the coordinates of the point b?
License plates in a particular state display 22 letters followed by 44 numbers. how many different license plates can be manufactured for this state?
The number of unique license plates are [tex]26^{22}[/tex] for the letters and [tex]10^{44}[/tex]for the numbers, then multiply the two results.
Each letter on the license plate can be any one of the 26 letters in the English alphabet.
So, for 22 letters, the total possible combinations are calculated as:
[tex]26^{22}[/tex]
Each number on the license plate can be any one of 10 digits (0 through 9).
So, for 44 numbers, the total possible combinations are calculated as:
[tex]10^{44}[/tex]
So, the total number of different license plates can be found by multiplying these two results:
Total combinations = [tex]26^{22}[/tex] × [tex]10^{44}[/tex]
geometry help me please
if <PQR measures 75°, what is the measure of <SQR?
Marissa is bu buying a shirt for each of her brothers and each of her 2 sisters. Each shirt costs $7.50 and she spends a total of $30. How many brothers does Marissa Have?
Using an equation, Marissa has 2 brothers with her 2 sisters, making 4 siblings.
What is an equation?An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
We can use an equation to solve the above problem.
The number of brothers that Marissa has = x
The number of sisters Marissa has = 2
The cost of each shirt = $7.50
The total amount spent = $30
The total number of shirts Marissa can buy with $30 = 4 ($30/$7.50)
Equation:
7.5x + 7.5(2) = 30
7.5x + 15 = 30
7.5x = 15
x = 2
Thus, Marissa has 2 brothers, based on the solved equation.
Learn more about equations at https://brainly.com/question/29174899.
#SPJ2
For safety. the recommended height of a zebra fence is 5 ft. Because of uneven ground surfaces, the actual height of the fence can vary from recommendation by 3 inWrite and solve an absolute value equation to find the maximum and minimum heights of the fence. Then, find the maximum and minimum heights of the fence
The maximum and minimum heights for the zebra fence, considering the 3-inch allowance, are 5.25 feet (63 inches) and 4.75 feet (57 inches), respectively. This was computed by converting the standard height to inches, and applying an absolute value equation to figure out the range for the fence's height.
Explanation:The recommended height of the fence is 5 ft, but this can vary by 3 inches due to uneven ground surfaces. The question asks for an equation to calculate the maximum and minimum heights.
To start, we need to convert all measurements to the same units. 5 feet is equivalent to 60 inches.
Next, we can set up the absolute value equation to represent the possible variation in height. This may look like |x - 60| ≤ 3. Here, x is the actual height of the fence.
Then, solve the equation to get our two possible results: x ≤ 60 + 3 and x ≥ 60 - 3. Therefore, the maximum and minimum heights of the fence are 63 inches (or 5.25 feet) and 57 inches (or 4.75 feet) respectively.
Learn more about Absolute Value Equation here:https://brainly.com/question/33804932
#SPJ2
write an equasion in slope-intercept form. What are the slope and y intercept? -2x - 11y = 5
y=-2/11x-5/11 is the required slope intercept form
Slope is -2/11
y intercept is -5/11
The given equation is -2x-11y=5, We need to find the slope intercept equation, slope and y intercept.
What is slope intercept form of a line?y=mx+c
m is the slope of the line
c is the y intercept of line
The given equation is -2x-11y=5
We need to separate the y variable to find the slope intercept form
-11y=5+2x
To convert the above equation to slope intercept form, we need to divide both sides by -11.
y=-5/11-2/11x
Therefore y=-2/11x-5/11 is the required slope intercept form for -2x - 11y = 5
Slope is -2/11
y intercept is -5/11
To learn more on slope intercept form click here:https://brainly.com/question/20786109
#SPJ2
Two non-perpendicular, non-bisecting, intersecting line segments definition
The area of circle h is 200.96 square feet. what are the radius and diameter of circle h? what is the circumference of circle h?
how do you write the decimal 0.7 as a fraction in simplest form
If f(x)=2x^2+1, what is f(x) when x=3
The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenario, and solve for the number of roses when there are 5 weeds. Weeds Roses 10 20 20 10