Answer:
y=-5/2x+3/2
Step-by-step explanation:
5x+2y=3
2y=3-5x
2y=-5x+3
y=-5/2x+3/2
The perimeter of a rectangular piece of land is 280m. People divide the land into two small pieces: a square, a rectangle. The total perimeter of the two small plots is 390m. Calculate the area of the original piece of land.
Step-by-step explanation:
Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m
Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m
If 4 small square flower bed of side length 1 m are made at center.
To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.
Perimeter of the rectangle = 2 × ( length + breadth )
= 2 × ( 25/2 + 26/5 )
= 2 × ( 177/10 )
= 177/5 m
= 35.4 m
Area of the rectangular land = Length × Breadth
= 25/2 × 26/5
= 5 × 13
= 65 m²
Area of a flower bed = side × side = 1 × 1 = 1 m²
Area of 4 flower bed= 4 × 1 = 4 m²
Area left in the land = 65 - 4 = 61 m²
Therefore, Perimeter of the land is 35.4 m
Area of land is 65 m²
Area of the land left after flower beds is 61 m²
5. Identify the type of function and the degree of the function: f(x)=6x +3x² -11
A. Quadratic, degree 3
B. Quadratic, degree 2
C. Cubic, degree 6
D. Quartic, degree 11
Answer:
B. Quadratic, degree 2
Step-by-step explanation:
ALl you have to see is the degree. The degree is the largest exponent of the expression. The largest exponent here is 2 and since there is only one answer with a degree of two, the answer is b.
Answer:
B
Step-by-step explanation:
the largest exponent is 2 i.e the degree is 2
Can you please help me with this question.
Answer:
I have helped you on the other question you asked. It's the same question.
solve this to pretty pretty pls
Answer:
3) 161
Step-by-step explanation:
Indeed this is pretty easy :D
What we need to find is the surface area of the rectangular prism excluding the area of the hole. First, let's find out the width of the box, we can do this by using the area, the length, and the height, and we can write:
[tex]V=lhw[/tex]
(Formula to find the volume of a rectangular prism)
[tex]140=(4)(7)w\\ 140=28w\\ 5=w[/tex]
Now that we have the width, can find the area of the top part of the prism:
[tex](5)(4)=20[/tex]
The area of the top part of the prism is 20, and the circle has 1/4 of the area of that:
[tex]A_{circle} = \frac{A_{top part} }{4}\\ A_{circle} = \frac{20}{4} \\ A_{circle} = 5[/tex]
So the area of the circle is 5. Now we just need to find the surface area of the rectangular prism and subtract that result with the area of the circle:
[tex]A_{circle}=5\\ SA_{rec.pri.}=2(lh+lw+wh)\\ SA_{rec.pri.}=2((4)(7)+(4)(5)+(5)(7))\\ SA_{rec.pri.}=2(28+20+35)\\ SA_{rec.pri.}=2(83)\\ SA_{rec.pri.}=166[/tex]
Subtract these two results...:
[tex]166-5=161[/tex]
And we are done!
A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x + 1,000 represents this situation.
What is f(3), and what does it represent?
900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
900 square feet;, f, (3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
900 square feet; , f, (3) represents the total number of square feet the construction crew has paved after 3 hours.
1,900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
1,900 square feet;, f, (3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
Answer:
1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
The function of the construction crew is an illustration of a linear function
The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours
The function is given as:
To calculate f(3), we substitute 3 for x
Multiply 300 and 3
Add 900 and 1000
This means that the value of f(3) is 1900.
And it represents the total number of square feet paved after working for 3 hours
1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
A number minus 33 is at least -5
Answer:
28
Step-by-step explanation:
Put in calculator 28-33= -5
Please find the range of these numbers
Answer:7
Step-by-step explanation:range is highest number subtracted by lowest
Answer:
17
Step-by-step explanation:
The formula for range is max-min.
The max is 91 and the min is 74
91-74=17
PLEASE HELP QUESTION IN PICTURE
Answer:
-3/2
Step-by-step explanation:
1) find the slope of (-9,-4), and (3,4)
4-(-4)=8, and 3-(-9)=12
the slope is 8/12 or 2/3 when simplified.
the PERPENDICULAR slope is the negative reciprocal of the slope, so
-3/2 is the answer.
Wendy went to Starbucks and spent $15.75 on coffee. She had to pay 8% in sales tax. She then wanted to tip the baristas 20%. What was her total bill with tax and tip?
20.52 is the answer Sol ed
Which expression would be easier to simplify if you used the commutative
property to change the order of the numbers?
O A. 80 + 20 + (-17)
O B. 2/3 +(-1/3) + 1/5
O C. (–19) + (-10) + 7/8
O D. (-80) + 43+ (-120)
Answer:
Step-by-step explanation:
THE ANSWER IS A. 80 + 20 + (-17)
calculate the simple interest and compound interest on ₹5000 for 2 years at 10% per annum. how much more is the compound interest then the simple interest?
Answer:
Simple: 6000
Compound: 6050
Difference: 50
Step-by-step explanation:
Simple interest formula: A = P(1+rt), where A = final amount, P = initial amount, r = rate, and t = time. Plug our values in to get
A = 5000(1+10% * 2)
convert 10% to a decimal by dividing by 100 and plug that in
10% = 0.1
5000(1+0.1*2) = 5000(1.2) = A = 6000
Compound interest formula: A = P(1+r)^t
Plug our values in
5000(1+0.1)^2 = 6050
Difference = 6050 - 6000 = 50
I NEED ANSWER ASAP PLEASE I NEED ANSWER NOW ITS DUE IN 20 MINS
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? 36 characters 144 characters 360 characters 432 characters.
Answer:
432 characters
Step-by-step explanation:
There are 36 inches in a yard, so there will be 36 times 12 characters:
(36 in/yd)(12 char/in) = 432 char/yd
432 characters can be expected per yard of text.
PLEASE NO LINKS AND NO NEGATIVITY
A cylinder has a height of 7 centimeters and a diameter of 24 centimeters. What is its volume?
Answer:
[tex]to \: know \: \: the \: solution[/tex]
[tex]refer \: to \: the \: attatchment[/tex]
I hope this helps you !!I have three bits of tinsel measuring the following: 2.3m, 45cm and 750mm. How long is my tinsel altogether in metres?
How many solutions does this system of equations have?
Exactly one
None
Infinitely many
Exactly two
Answer:
Infinitely many
Step-by-step explanation:
what is the vertex of the porabola
Answer:
what is the vertex of the porabola by nagla 3by 7
Who has the shorter insect?
Does the point (4, 8) satisfy the equation y = 2x?
Answer:
Yes
Step-by-step explanation:
You can answer this question by putting in the x-value [the 4 in (4, 8)] in for the x variable to see if you get the y-value [the 8 in (4, 8)] as the solution.
y=2(4)
y=8
Since 8 was the answer then yes, (4, 8) satisfies the equation y = 2x.
Dividing 3/5 into what number gives you 20
Answer:
12
Step-by-step explanation:
Set up equation like this with x being the number
X / (3/5) = 20
X * (5/3) = 20
so multiply both sides by 3/5 so
X = 20 (3/5)
therefore,
X = 12
we can check to make sure this is right by plugging it back in:
12 / (3/5) = 20 so it is true
Find the roots 5x^2+16=7x^2/3
Answer: I Got No solution for this problem
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
No solution
Help me help help helppppppppppp
Answer:
61.2$
Step-by-step explanation:
I think that's how it's done.
Interest earned: $76
Principal: $800
Interest rate:?
Time: 2 years
Answer:
19%
interest earned = base × time × rate
interest rate = interest earned/ base × time
76/800*2 = 0.19 = 19%
please help me if you know thank you :)))
Answer:
a) -inf b) DNE c) 2 d) 3 e) 1
Step-by-step explanation:
Im not 100% sure about c and d
Which graph represents the function y= 2x – 4?
GIF
st
4
3
3
-3
...2
2+
2
1
+
-3 -2 -1
2
5 4 -3 -2 -1
2
3
-5 -4 -3 -2 -1
2
-2
-2
O
Answer:
4
Step-by-step explanation:
The graph of the function is attached in the solution.
What is graph?A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.
Given is an equation, y = 2x-4, we need to determine its graph,
So, for the same, finding the coordinates,
y = 2x-4
Put x = 0
y = -4
(0, -4)
Put x = 1
y = -2
(1, -2)
Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.
Hence. the graph of the function is a straight line.
Learn more about graphs, click;
https://brainly.com/question/17267403
#SPJ7
Please answer these questions.(please include work/explanation)(1)
Answer:
Hi there!
I will help you answering the questions, if you do not understand what I'm working about, you can ask me on comment section.
Number 1First of all, we need to multiple the separated function.
[tex] \sf2(3x + 4)(x - 1)(x - 3) \\ = \sf(6x + 8)(x - 1)(x - 3) \\ \tt multiple \: the \: first \: equation \\ \tt(6x + 8) \: with \: (x - 1) \\ \sf = (6x \times x + 6x \times - 1 + 8 \times x + 8 \times - 1)(x - 3) \\ = \sf({6x}^{2} + 2x - 8)(x - 3) \\ \tt then \: multiple \: the \: last \: one \\ \tt (6 {x}^{2} + 2x - 8) \: with \: (x - 3) \\ \sf = \boxed{ \bold{ \red{ {6x}^{3} - 16x {}^{2} - 14x + 24}}}[/tex]
So the right answer is A
━━━━━━━━━━━━━━━━━
Number 2the graph has four zeros at :
-4-2/309After that we make them equal with 0, here is the thing:
x = -a is equal with x + a = 0
So we can conclude that :
-4 → x + 4 = 0-2/3 → 3x + 2 = 00 → x = 09 → x - 9 = 0Then we substitute them to a function :
x(x + 4)(3x + 2)(x - 9) = 0
3x⁴ - 13x³ - 118x² - 72x = 0
Then we looking on the option which one is equal with the answer above.
The right answer is B
━━━━━━━━━━━━━━━━━
Hope It Helps!
‼️‼️‼️PLS HELP I WILL MARK U BRAINLIEST‼️‼️‼️
Which translation can be used to prove that figures two and three are congruent?
A) (x, y) —> (x, y - 4)
B) (x, y) —> (x - 3, y + 1)
C) (x, y) —> (x + 2, y)
D) (x, y) —> (x + 1, y - 3)
Answer: a I think
Step-by-step explanation:
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answer:
361/900
Step-by-step explanation:
[tex]\left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}[/tex]
Just gonna attach a picture of the problem so it’s easier
Answer:
You have to find the intercept hope this helps
Step-by-step explanation: