complete an area model in the space below to find the area of a rectangle if the length is (3x+2) and the width is (2x-7)
Answers
The area of the rectangle, expressed as a polynomial in standard form, is 6x^2 - 17x - 14.
To find the area of a rectangle with length (3x + 2) and width (2x - 7), we can use an area model. The area of a rectangle is given by the product of its length and width.
First, let's draw a rectangle and divide it into four sections:
Copy code
---------------
| |
(3x + 2)| |
| |
---------------
| (2x - 7)|
--------------
The length of the rectangle is (3x + 2) and the width is (2x - 7). We can distribute the values to each section of the rectangle:
Copy code
---------------
| 3x + 2 |
(3x + 2)| |
| 3x + 2 |
---------------
| 2x - 7 |
---------------
Now, let's multiply the values in each section:
Area = (3x + 2) * (2x - 7)
= 6x^2 - 21x + 4x - 14
= 6x^2 - 17x - 14
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Related Questions
If you have 100$ and then lose 25$ ,what is the percent change
Answers
Answer:
75 %
Step-by-step explanation:
100$= 100%
1$= 1%
75$ (left)= 75%
Paula is going to hire a makeup artist for a fashion show and is comparing prices. Shelley charges $40 as a booking fee and an additional $30 per hour. Ezra charges $35 per hour, plus a booking fee of $30. Depending on the length of the show, the cost could end up being the same for either artist. What would the cost be?
Answers
Answer:70
Step-by-step explanation:
The cost of booking was $100 as obtained by the length of the show.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
From the given information the two linear equations can be formed as,
30x + 40 and 35x + 30.
The cost would be the same when we'll equate these two equations.
30x + 40 = 35x + 30.
30x - 35x = 30 - 40.
- 5x = - 10.
5x = 10.
x = 10/5.
x = 2, So at two hours the cost would be the same and the total cost is,
$30(2) + 40.
$60 + 40.
= $100.
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Write the equation in slope-intercept form.
y−1=45(x+5)
Answers
Answer:
y=45x+226
Step-by-step explanation:
hope that's what you're looking for
have a nice day!!!
Answer:
Step-by-step explanation:
Slope intercept form of a line is y=mx+b so we need to solve for y.
y-1=45(x+5) first expand right side
y-1=45x+225 now add 1 to both sides.
y=45x+226
Andy learns in school that plants grow best when they receive an optimal range of water, sunlight, and nutrients. He decides to do an experiment with bean plants to test this idea. Over the course of a month, he is planning on giving five bean plants different amounts of water. His watering schedule is outlined below.
Plant
Amount of Water
Every Week
A
0 mL
B
10 mL
C
100 mL
D
1,000 mL
E
10,000 mL
What will be the most likely result of his experiment?
Question 2 options:
A. Plant A will die, while all of the other plants will flourish.
B. There will be no difference between the plants by the end of the fourth week.
C. Plant A and Plant E will die.
D. Plant E will grow faster than all of the other plants.
Question 3 (1 point)
Answers
Answer:
C. Plant A and Plant E will die.
Step-by-step explanation:
A0 mL
B 10 mL
C 100 mL
D 1,000 mL
E 10,000 mL
Plant A will get no water so it will Die
Plant E will be overwatered so it will rot and die
fine the equation of the line that goes through the point (2,-9) that is parallel to the line with equation y=-3/4x
Answers
Answer:
y=6x
Step-by-step explanation:
g=-9/2
c=0
y=-9/2x
3/4x*-9/2
y=6x
Help me to find two chords.
Answers
Answer:
I dont understand how to sorry
Answer:
the answer is 77
Step-by-step explanation:
a= b+c/2
78+76/2 = 77
PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS CORRECT!!!
Answers
Answer:
ab multiplied by ( A -B)
Step-by-step explanation:
5. Find 7568 more than 16498.
Answers
16498 + 7568 = 24066.So, the correct answer is 24066 To find 7568 more than 16498, we can perform the following calculation:
16498 + 7568 = 24066.
We can perform sum via many ways:
Place value: This approach adds numbers by using their place values. For instance, we would arrange the numbers according to their decimal places and add each place value column separately to get the sum of 23 and 45. 68 would be the total.
Comparable to place value addition, but with the integers arranged in columns, is the column addition technique. For adding higher numbers, this can be useful. For instance, we would arrange the numbers in columns and add each column separately to equal 234 + 567. 801 would be the total.
Mental addition: To add numbers quickly, utilize this technique. For instance, we may consider about 23 as 20 + 3 and 45 as 40 to add 23 and 45.
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in order to use an expert from a movie in your history class you must pay a royalty fee. the base fee is 50 and an additional .25 cents per minute of the film. the equation for this is?
Answers
Answer:
.50=.25x x= Minutes of watching the film.
Step-by-step explanation:
-x + 4 = -9 Solve the equation.
Answers
Answer:
-13
Step-by-step explanation:
Subtract 4 from both sides of the equation
+ 4 = − 9
+ 4 − 4 =− 9 − 4
Simplify
Solution:
= − 1 3
Answer:
x = -13
Step-by-step explanation:
I hope it helps you, sorry if it is wrong.
PLEASE HELP I WILL MARK BRAINLIEST
3y + 7 = x
Solve for y and x.
Answers
Answer:
x=3y+7
y=1/3x-7/3
Step-by-step explanation:
Answer:
y=6 x=25
Step-by-step explanation:
brainliest plz
Sara uses 7.6 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answers
Answer:
1.9
Step-by-step explanation:
7.6/4= 1.9
1.9*1= 1.9
ans is 1.9 pints
LOOK IF YOU DONT KNOW HOW TO PARAPHRASE JUST USE THIS WEBSITE AND TEACHERS NEVER NOTICE BOOK MARK IT IT WILL HELP YOU
Answers
Which of the following values are solutions to the inequality 6≥4x−5?
Answers
Answer:
The solution to the inequality is:
[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]
-5 and -6 are the solution values.
Step-by-step explanation:
Given the inequality
[tex]6\ge \:4x-5[/tex]
Let us solve the inequality
[tex]6\ge \:4x-5[/tex]
switch sides
[tex]4x-5\le \:6[/tex]
Add 5 to both sides
[tex]4x-5+5\le \:6+5[/tex]
Simplify
[tex]4x\le \:11[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}\le \frac{11}{4}[/tex]
Simplify
[tex]x\le \frac{11}{4}[/tex]
Thus, the solution to the inequality is:
[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]
In our case, we are given the values -6, 8, and -5
We have already determined that the solution is x ≤ 2.75.
Since the solution is x ≤ 2.75, so -5 and -6 come under the solution set because -5 and -6 are less than 2.75.
Hence, -5 and -6 are the solution values.
The graph of the solution of the inequality is also attached below.
The solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
6 ≥ 4x − 5
Adding 5 both the side we get,
6 + 5 ≥ 4x − 5 + 5
⇒ 11 ≥ 4x
Dividing both the side by 4 we get,
11/4 ≥ 4x/4
⇒ 11/4 ≥ x
or, x ≤ 11/4
this is the required solution of the given inequality.
Thus, the solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.
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Write a ratio in three different forms.
Shawn biked 5 miles and ran 2 miles. What is the ratio of the distance Shawn ran to the distance he biked?
Answers
Answer:
2:5 is the answer
Step-by-step explanation:
Why is because it says What is the ratio of the distance Shawn ran to the distance he biked shawn ran 2 miles the ratio is 2: and comparing how he rode 5 miles is 2:5
Answer:
2:5
Step-by-step explanation:
im in k12 LOL
please help asap!!!!
Answers
Answer:
The area is 60. Thats all I know TwT
Step-by-step explanation:
FIND THE AREA
WORK PLEASEEE and thank you
Answers
Answer:
Some ways on how to solve the questions:
Use formulas as given by your teacher.
Application of the Pythagorean Theorem would be useful for 5 and 6.
For 7-10 use a formula as given by your teacher (just basic operations like plugging in the formula for those questions)
For 11 and 12 draw it out.
How many squares are there in this diagram?
Answers
Answer:
well sense you got the answer now, ima just take the points.
Step-by-step explanation:
its a 4x4 square with 16 squares
Which of the following is not a true statement? *
a. The boundary line of y > x + 1 is a solid line.
b. The boundary line of y < 2x - 3 is not a solid line.
c. 3x + y < 2 is an example of linear inequality
d. (1, 1) is a solution of x + 3y > 2
Answers
Answer:
b. The boundary line of y < 2x - 3 is not a solid line.
Step-by-step explanation:
It's a linear inequality thus its boundary line must be a solid line.
The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?
Answers
Answer: [tex]16p^{2} -9[/tex]
The area of the rectangle is [tex]16p^{2} -9[/tex].
What is a rectangle?A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
The side length of square = 4p
The length of rectangle, l = 4p+3
The width of rectangle, w = 49-3
The formula of area of rectangle is
[tex]A=lw[/tex]
⇒ [tex]A=(4p+3)(4p-3)[/tex] [∵ [tex](a+b)(a-b)=a^{2}-b^{2}[/tex] ]
⇒ [tex]A=(4p)^{2} -3^{2}[/tex]
⇒ [tex]A=16p^{2} -9[/tex]
Hence we can conclude that the area of the rectangle is [tex]16p^{2} -9[/tex].
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4. Margo is shopping for art supplies. She has a budget of $50 to spend. She buys 8 packages of
construction paper and receives $33.12 in change. Which equation could be used to find the
price of one package of construction paper?
A. 50 - 8x
B. 50- 33.12+8x
C. 33.12 = 8x
D. 50+ 33.12 - 8x
Answers
Answer:
I'm not sure but maybe try B
A metallic cylinder of diameter 14 cm and height 49 cm is melted and cast into cubes with side 22 7 cm. How many cubes will be formed
Answers
Answer:
22 cubes are formed.
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 14 cm
Height of the cylinder, h = 49 cm
The side of the cube, a = 7 cm
Let there are n cubes formed. So,
[tex]n=\dfrac{\text{volume of cylinder}}{\text{side of cube}^3}\\\\=\dfrac{\pi r^2 h}{a^3}\\\\=\dfrac{\dfrac{22}{7}\times (7)^2 \times 49}{(7)^3}\\\\n=22[/tex]
Hence, there are 22 cubes that are formed.
word problem that represents 8 times -0.25
Answers
Answer:
If bob buys 8 choclates, which each of them are 0.25 dollars each, how much money does he have if he has 0 dollars?
Step-by-step explanation:
Find the value of x, Round to the nearest tenth.
19
16
X
Answers
a2 + b2 = c2
19 2 + 16 2 = x 2
361+256=x 2
617=x
STEW Merlin made 7
−
8
gallon of stew. Then he
ate 3
−
4
gallon of stew. How much stew was left over?
Answers
7-3=4
But if he made 8 gallons of stew and ate 3 then their are 5 gallons left.
8-3=5
What amount of tax will be owed on an income of 63,280 if city income tax rate is 1.5% of all income
Answers
Answer:
multiply 63280 by 1.5% (.015). The answer is $949.20
Step-by-step explanation:
Graph and then find the perimeter of this shape. H(3, 0), I(3, 7), J(6, 7), K(6, 0)
Answers
Answer:
20 unitsStep-by-step explanation:
Graphed the points to find out it is a rectangle with sides 3 and 7.
Vertical segments with distance 7 - 0 = 7Horizontal segments with the distance 6 - 3 = 3The perimeter is:
P = 2(3 + 7) = 20 unitsAnswer:
50 points
Step-by-step explanation:
I did it and got an A
Photos fast charges a fee of $2.50 plus $0.05 for each picture developed. Photos quick charges a fee of $3.70 plus $0.03 for each picture developed. for how many will the total cost be the same at each shop?
Answers
The total cost will cost be the same at each shop for 60 pictures.
What is word problem?Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement.
Let for x number of picture, the total cost will cost be the same at each shop.
Total cost of x number of picture on Photos fast shop = $ (2.50 + 0.05x)
Total cost of x number of picture on Photos quick shop = $ (3.70 + 0.03x)
according to the question:
(2.50 + 0.05x) = (3.70 + 0.03x)
0.05x - 0.03x = 3.70 - 2.50
0.02x = 1.20
x = 1.20 ÷ 0.02
x = 60
Hence, for 60 number of picture, the total cost will cost be the same at each shop.
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While walking past a flag pole, Tommy looked down and noticed his shadow. Use the diagram below to
find the length of his shadow.
PLS HELP
Answers
Answer: 30ft
Step-by-step explanation:
3 positive integers numbers that add up to 10
Help please
Answers
Answer:
3+2+5
Step-by-step explanation: