Answer:
StPart 1) The expression is
Part 2) The area of the schoolyard when x=40 m is A=2,800 m^2
Part 3) The domain is all real numbers greater than zero and less than 75 meters
Step-by-step explanation:
Part 1) Write an expression for A(x)
Let
x -----> the length of the rectangular schoolyard
y ---> the width of the rectangular schoolyard
we know that
The perimeter of the fencing (using the wall of the school for one side) is
so
-----> equation A
The area of the rectangular schoolyard is
---> equation B
substitute equation A in equation B
Convert to function notation
Part 2) What is the area of the schoolyard when x=40?
For x=40 m
substitute in the expression of Part 1) and solve for A
Part 3) What is a reasonable domain for A(x) in this context
we know that
A represent the area of the rectangular schoolyard
x represent the length of of the rectangular schoolyard
we have
This is a vertical parabola open downward
The vertex is a maximum
The x-coordinate of the vertex represent the length for the maximum area
The y-coordinate of the vertex represent the maximum area
The vertex is the point (37.5, 2812.5)
using a graphing tool, see the attached figure
therefore
The maximum area is 2,812.5 m^2
The x-intercepts are x=0 m and x=75 m
The domain for A is the interval -----> (0, 75)
All real numbers greater than zero and less than 75 meters
ep-by-step explanation:
Mrs. Fry has 5 children their ages are 5,
10, 12, 15, and 8. What is the mean
age of her children?
Answer:
The mean of the ages of the Fry children is 8.
Step-by-step explanation:
To find the mean, you add up all of the numbers given, and then divide the sum by how many numbers you are given.
5+10+12+15+8 = 40 40/5 = 8
I need help with all 8!
PLEASE HELP WILL GIVE POINTS ABD BRAINLYIST ASAP
Garnet has a container with 15 1/2
cups of flour in it. She can make one dozen muffins with 2 1/2 cups of flour.
How many dozens of
muffins can Garnet make with the flour she has?
Answer:
6
Step-by-step explanation:
2.5x6=15 and thats the closest it'll get. To be exact, it's 6.2, but i dont know if you need that.
who would like some points? 23x23x23x23x23x23x23x23
first correct answer = brainliest
Answer:
78310985281
Step-by-step explanation:
What is the value of y in 3y + 9 = 45
Y=12, this is just a guess. Sorry if its wrong.
Determine the solution to the following system of equations.
y = -2x2 + 4x + 8
y = -4x + 16
Answer: (2, 8)
Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.
Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.
Therefore, the solution to the given system of equations is (2,8).
The solution of the system of equations will be;
⇒ x = 2
⇒ y = 8
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
⇒ y = - 2x² + 4x + 8
⇒ y = - 4x + 16
Now,
Since, The system of equations are,
⇒ y = - 2x² + 4x + 8 ..(i)
⇒ y = - 4x + 16 ..(ii)
Substitute the value of y from (ii) in equation (i), we get;
⇒ - 4x + 16 = - 2x² + 4x + 8
⇒ - 2x² + 4x + 8 + 4x - 16 = 0
⇒ - 2x² + 8x - 8 = 0
⇒ - x² + 4x - 4 = 0
⇒ x² - 4x + 4 = 0
⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1
⇒ x = 4 ± √16 - 16 / 2
⇒ x = 4 / 2
⇒ x = 2
And, y = - 4x + 16
⇒ y = - 4 × 2 + 16
⇒ y = - 8 + 16
⇒ y = 8
Thus, The solution of the system of equations will be;
⇒ x = 2
⇒ y = 8
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Is this a function? Why or why not?
Answer:
no. a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.
No links man and please if you have a question about anything comment it.
Answer:
29=1/2
30=1/5
31=1/12
32=1/6
33=1/7
Step-by-step explanation:
I just counted the numbers and then put them as fraction.
Shawn earns $250 per week grooming animals Write an algebraic expression to represent the amount of money that Shawn earns
Answer [tex]m=250w[/tex]
Step-by-step explanation:
To write an engebraic expression, you should first start off by defining the variables.
Money earned = m
Weeks = w
Next, you have to define the relationship.
Shawn earns $250 per week, so in 2 weeks, he will earn 500, 3 weeks, 750, and so on. I did this by mulitplying, so amount of weeks times the amount of money earned would equal the total money he earned over "w" amount of weeks.
To create the expression, you just have to put the numbers and variables together.
m (money earned over "w" weeks) = 250 (money per week) w (number of weeks).
m=250w
The function f(x)= x^2 is graphed above. Which of the graphs below represents the function g(x) = x^2 -3?
Answer:
bottom left graph
Step-by-step explanation:
The function g(x) is a translation of function f(x). It is the function f(x) moved 3 units down.
The vertex of the parabola of f(x) is (0, 0).
The vertex of the parabola of g(x) is (0, -3).
Answer:
A professor compares the number of students at his school majoring in statistics, engineering, both, or neither. If the number of students majoring in both is 20, how large is the population?
Answer:
1,946
Step-by-step explanation:
251+175+1500+20=1,946
Help 10 pts!
If a point is randomly selected from the rectangular area of the graph, what is the probability that it will be in the blue region?
Round answer to the nearest whole percentage?
A. 49%
B. 59%
C. 69%
D. 79%
Answer:
D. 79%
Step-by-step explanation:
Took the the on USA Test prep
If a point is randomly selected from the rectangular area of the graph, the probability that it will be in the blue region is 79%.
What is the probability?The ratio of the number of favorable outcomes to the total number of outcomes of an event is known as probability.
It is given that, the length=20, the width=10, and the radius of half circle=10.
Calculate the area of the rectangle.
Knows the area of the rectangle is the product of length and width.
So,
[tex]\Rightarrow \text{Area of rectangle}=\text{10}\times \text{20} \\ \Rightarrow \text{Area of rectangle}=200 \\[/tex]
Calculate the area of the half-circle.
Knows the area of the half-circle[tex]=\frac{\pi r^{2} }{2}[/tex].
So,
[tex]& \Rightarrow \text{Area of half circle}=\frac{3.14\times 10\times 10}{2} \\ & \Rightarrow \text{Area of half circle}=\frac{314}{2} \\ & \Rightarrow \text{Area of half circle}=157 \\[/tex]
Calculate the probability that it will be in the blue region.
Knows the formula for the probability, [tex]\text{Probability}\left( \text{Event} \right)=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]
So,
[tex]& \Rightarrow \text{Probability}=\frac{\text{157}}{200} \\ & \Rightarrow \text{Probability}=0.78539 \\ & \therefore \text{Probability }\%=79\% \\[/tex]
Thus, the correct answer is an option (D). i.e., 79%.
Learn more about the probability, here
https://brainly.com/question/24756209
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $580 and her stock in Company B was worth $5950. The stock in Company A has increased 5% since last year and the stock in Company B has increased 18%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary). plz dont do for points do to help meeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I think it’s 7.8 repeating
Step-by-step explanation:
so is not 30 so what is it? I’ll mark brainliest
Answer:
15
Step-by-step explanation:
in a triangle
base (b) = 5 cm
height (h) = 6 cm
Area of the triangle
= 1/2 * b * h
= 1/2 * 5 * 6
= 5 * 3
= 15 cm²
hope it helps :)
Please, multiply the following Algebric sum.........
3ab+2bc, 5bc
Answer: The required product of two given algebraic expressions =15abc +10b²c²
Step-by-step explanation:
Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc
i.e. The required product = (3a+2bc) x (5bc)
= 3a x 5bc + 2bc x 5bc [Using right distributive property: (a+b)c= ac+bc]
= (3x 5) abc + (2 x 5) (bc)²
= 15abc +10b²c²
Therefore, the required product of two given algebraic expressions = 15abc +10b²c²
Lucy bought a broken toy. She repaired it and sold it to her friend. Lucy made the following list to help her calculate her profit. -Price paid for the toy: $5.25 -Cost to repair the toy: $1.33 -Selling price of the toy: $10.00 How much profit did Lucy make by selling the toy?
Answer:
6.08
Step-by-step explanation:
10.00 - 5.25 + 1.33
In a promotion at a store, each customer gets a chance to randomly draw a ticket from a box. There are 100 tickets. 20 tickets say "winner" and 80 tickets say "sorry, try again". Assume two customers play and that the ticket is not replaced after the first customer plays.
A) What is the probability that the second customer wins, given that the first customer wins?
B) What is the probability that the second customer loses, given that the first customer wins?
C) What is the probability that the second customer wins, given that the first customer loses?
Answer:
It's B
Step-by-step explanation:
A number cube has 6 different faces, numbered 1 to 6. All faces have an equal probability of being rolled. What is the probability of rolling a 5?
If a person trys to say to pick a link to find the answer I will report you and email brainly!!
Answer:
its a 1/6 chance
Step-by-step explanation:
each face has a 1/6 chance of being rolled since there are 6 faces
Find sin x, sin z, cos x, and cos z. Write each answer as a simplified fraction
Answer:
sin x=55/73
Sinz=48/73
cosx=48/78
cosz=55/73
Step-by-step explanation:
Using SOHCAHTOA
6. Samuel runs 100 yards in 16 seconds. Jake runs 150 yards in 30 seconds. Who had the greater
speed while running? Justify your answer.
Answer:
samuel runs 200 yards in 32 seconds, while jake runs 15o yards in 30 seconds. samuel has greater speed than jake
Step-by-step explanation:
Please find the radius and the circumference will give brainlyest
can someone find the area of this/explain how they did it?
thanks ! it means a lot. no links pls !!!
Answer: 1914 sq. ft
Step-by-step explanation:
area of circle= pi x radius squared
=3.14 x 10^2
=3.14x100
=314
area triangle= 1/2 base x height
=1/2(20x60)
= 1/2(1200)
= 600
area of rectangle= length x width
=50 x 20
= 1000
add the totals 1000 + 600 + 314=1914 sq. ft.
The equation of the line with slope 4 and y -intercept 4 can be written in the form y = m x + b where the number m is: the number b is:
Answer: [tex]m:4; \ b=4[/tex]
Step-by-step explanation:
Given
Slope is 4
Y-intercept is 4
For the slope-intercept form of line i.e. [tex]y=mx+b[/tex]
[tex]m=\text{slope of line}\\b=\text{Y-intercept of the line}[/tex]
So, we can write
[tex]y=4x+4[/tex]
[tex]m:4; \ b=4[/tex]
PLease answer ill give brainlest
Answer:
12
Step-by-step explanation:
1.5 cups a person
1.5 x 8 is 12
Bill can throw a football 31 yards and 1 foot. Gil can throw a football 23 yards and 2 feet. How much further can Bill throw the football?
Answer:
23 ft
Step-by-step explanation:
94 - 71 = 23 feet
PLEAESE HELP ME I WILL GIVE BRAINLYEST!!!
(01.04 MC)
What is the sign of the product (3)(−25)(7)(−24)? (10 points)
Group of answer choices
Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive
Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative
Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative
Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
Answer:
Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
I will give brainliest!! Pls help!!!
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
How many times does this polynomial change signs?
f(x) = 3x5 – 2x4 – 6x3 + x2 - 4x – 9
Answer:
3 sign changes from the highest order term to lowest
Ill give brainliest ------
Answer:
about 63.59 ft squared
Step-by-step explanation:
9/2 = 4.5--> Radius
Now we use the Area formula: piR^2 (Pi x radius squared)
4.5^2 = 20.25
20.25 x 3.14 = 63.59 -(rounded answer)
Sam is a second grader and weighs 35 kilograms. How many milligrams does Sam weigh?
Answer:
35,000,000 miligrams
Step-by-step explanation:
1 kilograms= 1,000,000
1,000,000×35=35,000,000