Answers
Let x and y be the two numbers. Let's say that either x = y or x < y. To keep things relatively simple, we'll make both of these numbers positive.
We are told that they add to 50, so
x+y = 50
which solves to
y = 50-x
Their product is
x*y = x*(y) = x*(50-x) = 50x - x^2 = -x^2 + 50x
So the function
f(x) = -x^2 + 50x
will give us the product f(x) for the input x. Keep in mind that if we know what x is, then y = 50-x is used to find y.
The function f(x) graphs out a parabola that opens downward. Check out the diagram below. This means the very peak point of the parabola is what we're after. This is the vertex. At the vertex, we'll have f(x) maxed out as much as possible. This occurs at the point (25,625) meaning x = 25 and y = 50-x = 50-25 = 25 both multiply to x*y = 25*25 = 625, which is the largest possible product.
In short, this provides a visual means to confirm you have the correct answers for part b.
Related Questions
The pentagon shown has 5 equal sides. The side lengths are represented by the expression 9k+4. What is the perimeter?
Answers
Answer:
5(9k+4)
45k+20
Step-by-step explanation:
You could add all the sides together or use distributive property and multiply the one side length by 5
Which detail in text number one do you better understand because of details in the text number two
Answers
Find a quadratic function f(x) = ax^2 + bx + C whose
graph passes through the points (-1,3), (1,1) and (2,6).
Answers
Answer:
Step-by-step explanation:
3-1
What is the sum of 1/8+5/15+3/8
Answers
Answer:
pls give me brainliest
Step-by-step explanation:
0.83333333333
Answer:
5/6
Step-by-step explanation:
Pls explain your answer. Thanks in advance. I will mark brainliest if u explain
Answers
Step-by-step explanation:
Using Trigonometry,
tan33° = Opposite/Adjacent = GF/DF.
Therefore GF = DF * tan33°
= 235tan33° = 152.6.
Angle GEF = Angle EDG + Angle DGE
= 33° + 34° = 67°. (Exterior Angle Theorem)
Using Trigonometry,
sin67° = Opposite/Hypotenuse = GF/EF.
Therefore EF = GF / sin67°
= 152.6 / sin67° = 165.8.
Hence the answer is the 1st option.
Answer:
the answer is A. GF =152.6 and EG=165.8
GF= 235*(tan(33))
EG= 152.6/(sin(67))
Anexo 5
Martes 26 do Brero de 2021
Instrucciones del planteamiento y relacionals columnas, para ello encuentra el recuadro con la
tracción equivalente
Circo JONN
El circo JOMI, ha hecho una gira alrededor de todo el continente
Americano
El tiempo de gira se repartió de la siguiente manera, la cuarta
parte del circo estará en Argentina, 4/32 partes en Brasil, una
octava parte en Venezuela, la dieciseisava parte en Bolivia, 5/32
portes en Cuba, 8/32 partes en México y el resto en Guatemala
2
8
Partes del tiempo se
32 presentó en México
32
10
32
Partes del tiempo se
presentó en Cuba
64
2
La dieciseisava parte la
invirtió en Bolivia.
8
1
4 Partes del tiempo se
32 presentó en Brasil
8
2
1 Partes del tiempo se
32 presentó en Guatemala
64
2
Una octava parte del
tiempo estuvo en Venezuela.
16
Answers
HELP ME FAST PLEASE!!!!!
Answers
Answer:
the first one
Step-by-step explanation:
kkrkrkrkrkrk
Answer:
(-4,1)
Step-by-step explanation:
Solve for the indicated measure for each of the following.
Answers
Answer:
x = 55°
Step-by-step explanation:
gcgjcgjcgcjgcjgjgccgjgcjcjgjgcjgcgjcgjc
How would you do this help
Answers
Answer:
Multiply the second equation by 2
Solution: [tex](-\frac{45}{11},\frac{29}{11})[/tex]
Step-by-step explanation:
1) In order to use the elimination method to solve systems of equations, you must first multiply one or both of the equations so that the coefficients of a pair of terms with matching variables share the same number, but have opposite signs.
In this case, the y terms must fit that requirement. The y term in the first equation is 2y and the one in the second equation is -y. They already have opposite signs, one positive and other negative, so we just need -y to be -2y. So, in order to do that, multiply by 2.
2) After multiplying the whole second equation by 2, you will get [tex]8x - 2y = -38[/tex]. Now, add the the two equations together, eliminate the y terms, and isolate x to find its value.
3) Then, substitute that x value back into one of the equations to receive the y-value.
To better explain these steps, I attached pictures below.
Combine the like terms 4x+ 17x + 5y + 19 - 28b + 48y +87a - 24x
Answers
First off, you need to circle every single thing on this expression, including the math symbols. So in order to do that, circle the symbols with the number behind:
19 - 28b -> (19) (-28b)
All of your numbers should end up like this:
(4x) (17x) (5y) (19) (-28b) (48y) (87a) (-24x)
Next, place an addition symbol in between all of them.
4x + 17x + 5y + 19 + (-28b) + 48y + 87a + (-24x)
Then, rearrange the numbers with the same variable (ex. a in “87a” is the variable), and the numbers without a variable as-well.
(4x + 17x + (-24x)) + (5y + 48y) + (19) + (-28b) + 87a
Finally, add all of the variables with the same letter with each other. You also need to add the numbers without one but since 19 is the only number without a variable in this expression you don’t add it to anything.
Your answer should come out to this:
-3x + 53y + 19 + (-28b) + 87a
A typical airplane flies at an altitude of 38,000 feet. Part A: Write an integer to represent an airplane's altitude.
Answers
Answer:
+ 38,000
Step-by-step explanation:
Given that:
Altitude of airplane = 38,000
The altitude of an object such as airplane in this scenario refers to the height of the airplane above sea level. The sea level is represented as a zero point (mid level) such that distance below are negative and those above are positive.
Hence, at an altitude of 38000 feets, altitude of airplane can be represented as +38,000 feets.
Combine like terms and write an equivalent expression
with the fewest number of terms.
3x + 5x – 1
Can someone help me?
Answers
Answer:
8 + -1 here you go hope this helps
PLEASE HELP ME ITS URGENT!!! PLEASEEE IM BEGGING U
Answers
Answer:
The answer would be C.
Step-by-step explanation:
5 * 6 = 30
3(10) * 1 = 30
Hence, your answer would be C.
Answer:
c = 10
Step-by-step explanation:
A utility company charges $0.12 per kilowatt-hour for energy a customer uses. They give a credit of $0.025 for every kilowatt-hour of electricity a customer with a solar panel generates that they don't use themselves.
A customer has a charge of $82.04 and a credit of -$4.10 on this month's bill.
What is the amount due this month?
Answers
Answer:$77.94
Step-by-step explanation:
PLEASE HELP ASAP!!
After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The
total increase was 31.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 31.5 °F.
Answers
Answer:
equation: 3.5x=31.5
number of hours: 9
Step-by-step explanation:
31.5/3.5=9
Therefore,
x=9, x=number of hours, number of hours=9
PLEASE HELP ILL MAKE YOU BRAINLEST
A small particle has a mass of approximately 0.00000043 grams. How would this number be expressed in scientific notation? Select one: O A. 4.30 x 10-7 O B. 4.30 x 10-6 O C. 4.30 x 107 O D. 4.30 X 106
Answers
Answer:
1. 4.3x10^-7
2. the picture is cut off
Simplify:
20x + 27y + 38y + 29x
Answers
Answer:
49x +65y
Step-by-step explanation:
add like terms
PLEASE GIVE ME THE ANSWER AND EXPLAIN HOW YOU WORKED IT OUT AND GOT THE ANSWER PLEASEEEEE ILL MARK YOU BRAINLIEST
Answers
Answer:
C, D
Step-by-step explanation:
Step 1: (3^2)^3 * 3^6 / 3^4
Step 2: (9)^3 * 3^6 / 3^4
Step 3: 729 * 3^6 / 3^4
Step 5: 729 * 729 / 3^4
Step 6: 531441 / 3^4
Step 7: 531441 / 81
Step 8: 6561
A = 27
B = 2187
C = 6561
D = 6561
E = 2187
Answer:
(SOMEONE HAS DELETED MY QUESTION SO I AM REPOSTING)
Step-by-step explanation:
Look at the image below!
Hope it helped! :)
Solve the system of equations using the method of your choice. y = 3x + 5 and y = -2x + 20 ***Write your answer as an ordered pair (x,y)
Answers
what is the meaning of altitude?
Answers
Answer:
1.
a settled way of thinking or feeling about something
Answer:
Altitude or height is a distance measurement, usually in the vertical or "up" direction, between a reference datum and a point or object. The exact definition and reference datum varies according to the context.
Step-by-step explanation:
Urgentttt Workkk help
Answers
Answer:
3, 15
Step-by-step explanation:
1/10 of a unit also just means dividing by 10. 1/2 is just dividing by 2. Hope this helped!
Answer:
1/10= 3
1/2=15
Step-by-step explanation:
If the whole unit is 30, then one tenth of it would be three (3x10=30) and one half of it would be 15 (2x15=30)
To find 40% of 75, Priya calculates 25⋅75 . Complete the statement about whether her calculation gives the correct value for 40% of 75. Her calculation is , 1 of 4. Select Choice because 25 and 40% are , 2 of 4. Select Choice . b. If x represents a number, complete the statement about whether 25⋅x always represents 40% of that number. , 3 of 4. Select Choice because 25 are 40% are 4 of 4. Select Choice .
Answers
Answer:
See Explanation
Step-by-step explanation:
See comment for correct presentation of the question
Given
[tex]Expression = 40\% * 75[/tex]
[tex]Priya = \frac{2}{5} * 75[/tex]
Required
Is Priya correct?
We start by simplifying the expression.
[tex]Expression = 40\% * 75[/tex]
Express 40% as fraction
[tex]Expression = \frac{40}{100} * 75[/tex]
Simplify fraction: Divide numerator and denominator by 20
[tex]Expression = \frac{40/20}{100/20} * 75[/tex]
[tex]Expression = \frac{2}{5} * 75[/tex]
By comparing:
[tex]Expression = \frac{2}{5} * 75[/tex]
and
[tex]Priya = \frac{2}{5} * 75[/tex]
We can conclude that Priya is correct because:
[tex]40\% = \frac{2}{5}[/tex]
Solve for X
1) 8(1 + 5x) + 5 = 13 + 5x
Answers
Answer:
X=0
Step-by-step explanation:
[tex]8(1 \times 5x) + 5 = 13 + 5x \\ 8 + 40x + 5 = 13 + 5x \\ 40x + 13 = 13 + 5x \\ 40x - 5x = 13 - 13 \\ 35x = 0 \\ x = 35 \times 0 \\ x = 0[/tex]
The solution to the equation is x = 0.
Here, we have,
Let's solve the equation step by step:
Distribute the 8 to the terms inside the parentheses:
8 + 40x + 5 = 13 + 5x
Combine like terms on both sides of the equation:
40x + 13 = 5x + 13
Subtract 5x from both sides to isolate the variable terms on one side:
40x - 5x + 13 = 5x - 5x + 13
Simplifying:
35x + 13 = 13
Subtract 13 from both sides to isolate the variable term:
35x + 13 - 13 = 13 - 13
Simplifying:
35x = 0
Divide both sides of the equation by 35 to solve for x:
35x/35 = 0/35
Simplifying:
x = 0
Therefore, the solution to the equation is x = 0.
To learn more on equation click:
https://brainly.com/question/14468218
#SPJ6
can somebody please help me !
Answers
Answer:
27
Step-by-step explanation:
Christina collected 27 cans.
27 cans plus Zachary's 54 = 81.
Hope this helps!
Plz mark Brainliest!
PLZ HURRY!!!!
Michael has 4 pairs of boots, 10 pairs of basketball sneakers, 6 pairs of Vans, and 4 pairs of flip flops. What percent of Michael's shoes are Vans?
Answers
Answer:
25%
Step-by-step explanation:
6/24 = 0.25 = 25%
Find the sum. Write the answer in its simplest form. -7.1+(-5.63)
Answers
Answer:
-12.73
Step-by-step explanation:
since you are adding a negative, it is the same as subtracting. subtract -7.1 from -5.63 to get -12.73. hope this helps
Which of the following shapes are used to compose this figure?
a
3 cm
triangle
trapezoid
circle
parallelogram
Answers
triangle trapezoidis the answer
Find the slope of the line.
Answers
Answer:
In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line
Solve the equation 0.5x = 16 for x using the division property of equality.
x =
Answers
Answer:
32
Step-by-step explanation:
got it right on edge
A forest covers 52000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answers
Given:
Total forest area = 52000 acres
Area of old growth trees in the forest = 0.4%
To find:
The area of old growth trees.
Solution:
We have,
Total forest area = 52000 acres
Area of old growth trees in the forest = 0.4%
Area of old growth trees is
[tex]Area=0.4\% \text{ of total forest area}[/tex]
[tex]Area=\dfrac{0.4}{100}\times 52000[/tex]
[tex]Area=0.4\times 520[/tex]
[tex]Area=208[/tex]
Therefore, the area of old growth trees is 208 acres.