Step-by-step explanation:
A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.
Perimeter of rectangle (3 sides)= 60 feet
Let 'x' be the width of the wall
[tex]Perimeter = 2(length)+2(width)\\60=2(length)+2x\\\\60-2x=2(length)\\\frac{60-2x}{2} =length\\Length =30-x[/tex]
Formula for the area of the rectangle is
[tex]Area=length \cdot width\\A=length(x)[/tex]
Replace the length we got using perimeter
[tex]A=(30-x)(x)\\A(x)= 30x-x^2[/tex]
To find out the maximum are we take derivative
[tex]A'(x)= 30-2x\\0=30-2x\\-30=-2x\\x=15[/tex]
find out second derivative to check whether x=15 is maximum
[tex]A''(x)=-2[/tex]
second derivative is negative
So, Maximum area at x=15
To find maximum area we plug in 15 for x in A(x)
[tex]A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225[/tex]
So, maximum area is 225 square feet
The area, A, of a square with a side of length x is given by A = x^2? Use this relationship to verify that doubling the length of the side of a square floor increases the area of
the floor by a factor of 2^2
Answer:
Hi
Step-by-step explanation:
How much would the account earn in 1 year of simple interest at a yearly rate of 2.33%? Round to the nearest cent.
Answer:
who knows what is the whole question
Step-by-step explanation:
What is the inverse for x+7/4
(Will give brainliest.)
Answer:
0.25(4x + 7)
Step-by-step explanation:
Evaluate: -0.7 - (-2.6 + -0.8) + 7.1
Answer:
8.36
Step-by-step explanation:
[tex]-0.7-(-2.6+ -0.8) +7.1\\ (add inside the parenthesis)\\\\-0.7 - 3.4 + 7.1\\\\=8.36[/tex]
The scale drawing of a rectangular city park measures 10.0 cm by 5.0 cm. The scale of the drawing is 1.0 cm = 4.5 m. What is the area, in square meters, of the park?
Answer:
2250m^2Step-by-step explanation:
In this exercise, we are going to be converting from cm to m, since we are asked to provide our answers in meters
Given that the scale is 1.0 cm = 4.5 m
let us convert the 10cm to the actual length
1 cm------4.5m
10 cm------x
x= 4.5*10
x= 45m
Also for the 5 cm
1 cm------4.5m
5 cm------x
x= 5*10
x= 50m
Hence the area of the actual rectangular park is
45*50= 2250m^2
1.) 6 quarts liters *(1 QUART = 0.946 LITERS) help please
Answer:
Let me figure it out first then I will give you the answer.
Lucy is going to the grocery store. She will buy 5 items. Every item she will buy is $2. Afterward, she will buy herself a milk shake for $3. How much will she spend at the store?
for which equations below is x = -3 a possible solution ?
lxl = 3
lxl = -3
l-xl = 3
l-xl = -3
-lxl = -3
Answer:
-/x/ = -3 (Sorry I couldn't put the lines)
Step-by-step explanation:
Negative and a negative = a positive
I hope this helps you :)
Three times the sum of
4 and t is the same as the
difference of t and 2
Answer:
3(4 + t) = t - 2
Step-by-step explanation:
Symbolically, we have:
3(4 + t) = t - 2
Name the y-intercept
A city has h a population of 2549786 people
Step-by-step explanation:
Braziliannngffcghjhhb
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how do u factorise 45x - 10
Answer:
-450
Step-by-step explanation:
The value of factors of the function are,
⇒ 5 (9x - 2)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The expression is,
⇒ 45x - 10
Now, We can factor the equation as;
⇒ 45x - 10
⇒ 5×9x - 5×2
⇒ 5 (9x - 2)
Thus, The value of factors of the function are,
⇒ 5 (9x - 2)
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ5
Prove that if 5(m - 1) = -25, then m = -4.
Answer:
The equation is true
Step-by-step explanation:
First, input -4 instead of m in the equation:
5(-4 - 1) = -25
Then, distribute:
-20 - 5 = -25
Finally, simplify:
-25 = -25
This equation is true, and that's how you prove it.
Hope this helps!
Answer:
M= -4
Step-by-step explanation:
1. Distribute the 5 into the parentheses
5m-5=-25
2. Now add 5 on both sides
5m=-20
3. Now divide 5 by -20
m=-4
A dolphin is at the surface of rhe water and then descends to a depth of 4 1/2 feet then the dolphin swims down another 2 3/4 feet what is the location of the dolphin relative to the surface of the water
Answer:
down 7 1/4 feet
Step-by-step explanation:
4 1/2 + 2 3/4 = 4 2/4 + 2 3/4 = (4+2) +(2/4 +3/4) = 6 +5/4 = 7 1/4
The dolphin is 7 1/4 feet below the surface.
Answer:
Step-by-step explanation:
math 1 work it out please w-2+2w=6 + 5w
Answer:
w = -4
Step-by-step explanation:
w - 2 + 2w = 6 + 5w
Add 2 to both sides.
w + 2w = 8 + 5w
Subtract w from each side.
2w = 8 + 4w
Subtract 4w from each side.
-2w = 8
Divide.
w = -4
What is f(5) for the function f(x)=2x+7
Answer:
Solution:
f(5)=2×5+7
=10+7
=17
Answer:
[tex]f(5)=17[/tex]
Step-by-step explanation:
[tex]f(5)=2(5)+7\\f(5)=10+7\\f(5)=17[/tex]
Mental Math In a toy store, the ratio of the number of dolls to the number of teddy bears is 6:5. If the
store has 240 dolls, how many teddy bears are in the store? Use pencil and paper. Describe the
mental math steps you use to solve this problem.
There are teddy bears in the store.
Answer: 200 teddy bears are in the store.
Answer:
the answer is 200 bears
Step-by-step explanation:
64 cm
64 cm
48°
*nor drawn to scale
What is the value of x?
o
A. 42°
B. 48°
Ο Ο Ο
C 64°
O D. 84
URGENT PLS I WILL GIVE MAX POINTS PLEASE
Answer: D
Step-by-step explanation:
My Teacher gave me the answer
You have $60 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=60 + (25+ 8)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?
Answer: 3 weeks
Step-by-step explanation:
25 + 8 = 33
33+ 60 = 93
220 / 93 = 2.3 or 3 weeks
Hope this helps
Plz mark brainliest
if a+b= -1 then the value of a^3+b^3 - 3ab= ?
Answer:
-1
Step-by-step explanation:
[tex](a + b)^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ ( - 1)^{3} = {a}^{3} + {b}^{3} + 3ab( - 1) \\ - 1 = {a}^{3} + {b}^{3} - 3ab\\ \\ \huge \red{ \boxed{{a}^{3} + {b}^{3} - 3ab = - 1}}[/tex]
Algebra 1. 9th Grade
-12-8=5/2x
Answer:
-1/8
Step-by-step explanation:
1) -12 - 8 = -20
2) -20 = 5/2x
3) (-20)(2x) = 5
4) -40x = 5
5) x = -5/40 = -1/8
Hope this helps!
2(4x - 3)=3(x+8)
The equation above is the problem I’m stuck on, I’m in algebra two and it’s been awhile since we’ve gone over this type of equation.
Answer:
x = 6
Step-by-step explanation:
2(4x - 3) = 3(x + 8)
1. Distribute the 2 and 3 into the parentheses.
2(4x) + 2(-3) = 3(x) + 3(8)
= 8x - 6 = 3x + 24
2. Subtract 3x from both sides.
8x - 3x - 6 = 3x - 3x + 24
= 5x - 6 = 24
3. Add 6 on both sides.
5x - 6 + 6 = 24 + 6
5x = 30
4. Divide by 5.
5x ÷ 5 = 30 ÷ 5
x = 6
Hope that helps.
Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
h() = -1612 + 641 + 100, where i represents time, in seconds.
Answer:
5.2 secondsStep-by-step explanation:
GivenThe function h(t) = -16t^2 +64t + 100To find: Time the ball to reach the ground (h = 0)? Solutionh(t) = -16t^2 +64t + 100Need to find the value of t, when h(t) = 0
-16t^2 +64t + 100 = 04t^2 - 16t - 25 = 04t^2 - 2*2t*4 + 16 = 41(2t - 4)^2 = 412t - 4 = √412t - 4 = 6.42t = 10.4t = 5.2Answer is 5.2 seconds
Answer:
5.2
Step-by-step explanation:
Find the value of k
Step-by-step explanation:
[tex]y = ax + b \\ a = \frac{y1 - y2}{x1 - x2} = 3 \\ y = 3x - 1 \\ y = (3 \times 4) - 1 = 11 = k[/tex]
Someone plzz answer only number 9 easy!!
(Correct will mark as brainliest)
Thanks guys
Answer:
4×102 +5×101 +6×100 +8 × 10-1 +1 × 10-2
I hope that made sense lol
Answer:
400 + 50 + 6 + 0.8 + 0.01
Step-by-step explanation:
This is the answer because:
1) Expanded form means to write a number with its full value. It is shown as a sum of each digit multiplied by its matching place value
2) Therefore, the answer is 400 + 50 + 6 + 0.8 + 0.01
Hope this helps!
Roselyn is driving to visit her family, which live 150150150 kilometers away. Her average speed is 606060 kilometers per hour. The car's tank has 202020 liters of fuel at the beginning of the drive, and its fuel efficiency is 666 kilometers per liter. Fuel costs 0.600.600, point, 60 dollars per liter. How long can Roselyn drive before she runs out of fuel?
Answer:
Your answer is 2 gallons
Step-by-step explanation:
Please help me
I need to submit it now!!
Answer:
Alicia is right, 11 is the answer
Step-by-step explanation:
ItS EaSy
Answer:
it is eleven I think first add 12 plus 3 then subtract 3 u get eleven so Alicia is right ✅
What is the slope of the equation: y = 4
Answer:
0
Step-by-step explanation:
Answer:
There's no slope or a slope of 0
Step-by-step explanation:
The variables "mx" represent the slope of a linear line.
Alebra 1 - 10pts
Solve for x.
x/4 ≥−8
A. x≤−2
B. x≤−32
C. x≥−32
D. x≥−2
Answer:
C. x≥−32
Step-by-step explanation:
Multiply both sides by 4
Answer:
C, you have to multiple both sides. Let me know if you need it explained further.
Step-by-step explanation:
WILL MARK BRAINLIEST NEED IT ASAP
Answer:
8
Step-by-step explanation:
6 x 9=54. 54+10=64. the square root of 64 = 8
Answer:
ANSWER IS 8
Step-by-step explanation: