Answer:
[tex]\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}[/tex]
Step-by-step explanation:
A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,
[tex]\sf\implies p(x)= 12x^2+7x+1[/tex]
And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .
Step 1: Multiply the coefficient of x² with the constant term .
Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .
Step 2: Look out for the possible factors of the number .
Here the obtained number is 12 . So the possible factors of 12 is
1 *12-1*-122*6-2*-64*3-4*-3Step3: Choose the factor whose sum is equal to the coefficient of the middle term .
Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .
Step 4: After proper arrangements take out the common term and then factorise.
After suitable rearrangment we get ,
[tex]\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}[/tex]
Meghan had to go to the grocery store and pick up 1 gallon of milk ($2.55), 2 dozen eggs (1 dozen $1.25), a loaf of bread ($2.99), and 2 boxes of grits (a box $1. 76). She only had $20 on her to spend. Will Meghan have enough money to cover her grocery items? Explain the steps that you took to solve this problem.
Answer:
yes she will, she will have $8.44 left
Step-by-step explanation:
$2.55 + $2.50 + $2.99 + 3.52 = $11.56
20 - 11.56 = $8.44
April wants to use 30% of her land for planting trees. How many acres, to the nearest tenth, does she want to use to
plant trees in 95 acres of land?
Answer:
28.5 acres
Step-by-step explanation:
95 acres total
30% is being used for trees
95 acres * .3 = 28.5 acres
2x-8
The number 2 is a constant in the expression.
a. True
b. False
Answer:
False
Step-by-step explanation:
2 is next to a variable making it a coefficient.
Answer:
False
Step-by-step explanation:
The constant is 8 because it stands alone and has a fixed value 2 does not stand alone and does not have a fixed value
how many outcomes have exactly 1 head?
Answer:
4 possible
Step-by-step explanation:
Since there are 4 possible outcomes with one head only, the probability is 4/16 = 1/4.
Chile please help me cuz I’m lost ash
Answer:
1. acute angle, 2.right angle, 3.obtuse angle
Step-by-step explanation:
A rectangular yard contains a 120-square-foot garden. If seeds are scattered uniformly over the yard, what is the
probability that a seed lands in the garden?
67%
80%
83%
90%
Answer:
Did you ever figure it out if so pls tell me
Step-by-step explanation:
Will give brainlist if right! Number 13 and 14 plz
Answer:
13 - 14
14 - base area 30 and height 19
base area 285 and height 2
Step-by-step explanation:
1428/17/6=14
help right now plz lots o points BRAINLIEST
Answer:
x>-25
Step-by-step explanation:
hope this helps!
Answer:
[tex]x < 25[/tex]
Step-by-step explanation:
[tex]-\frac{3}{10} x -7 +7 < \frac{1}{2} + 7[/tex]
[tex]-\frac{3}{10} x < \frac{15}{2}[/tex]
[tex]-\frac{3}{10} x (\frac{10}{3} ) < \frac{15}{2} (\frac{10}{3} )[/tex]
[tex]x < \frac{150}{6}[/tex]
[tex]x < 25[/tex]
Hope it helps!
An 80 meter rope is suspended at its two ends from the tops of two 50 meter flagpoles. If the lowest point to which the midpoint of the rope can be pulled is 36 meters from the ground, then the distance, in meters, between the flagpoles is:
A. 6√39
B. 36√13
C. 12√39
D. 18√13
E. 12√26
Please ignore the other doodles in the picture
Answer:
qwerty
Step-by-step explanation:
-
1) The product of two positive numbers is
equal to 2 and their difference is equal to 7/2.
Find the two numbers
Answer:
I hope my answer will helps you.
A block exerts a force of 120 Newton's on the ground the block has an area of 2meTers squared Work out the pressure
The pressure exerted by the block can be obtained as 60 N/m².
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
Since, the pressure is obtained as the ratio of Force to area.
It can be worked out using the following operation as,
Pressure = Force ÷ Area
⇒ 120 ÷ 2 = 60 N/m².
Hence, the pressure can be obtained as 60 N/m².
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Tyler finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of the square cutouts used to make it. This is the graph Tyler gets if he allows x to take on any value between -1 and 7.
What is the approximate maximum volume for his box?
Answer:
Step-by-step explanation:
Domain: 0<x<3.5
To get 3.5: 7/2=3.5
Negatives and decimals can't be used
Approximate maximum volume for this box? 55
The proper domain of Noah's graph should be 0 to 3.5 and the maximum of the graph is at y = 60.
It is required to find the approximate maximum volume for his box.
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
Given:
From the attached graph (see attachment), we have the following observations:
1.The x values starts from -1 and ends at 60
2.The domain of the graph is from 0 to 4 (i.e. x-values 0 to 4 have corresponding y-values on the graph)
3.x-values 0 to 3.5 have corresponding non-negative y-values
4.Other values of x have corresponding negative y-values
5.The maximum of the graph is at y = 60
Because the volume of a box cannot be negative, the x-values to use must correspond to non-negative y-values.
Hence, the proper domain of Noah's graph should be 0 to 3.5 and the maximum of the graph is at y = 60.
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The perimeter of a quadrilateral garden is 4x2+3x-4. The first side is represented by x2+2x+15. The second and third sides are each represented by x2-x-10. What expression represents the fourth side? Write a justification of your result.
Answer:
[tex]y = x^{2} + 3x + 1[/tex]
Step-by-step explanation:
Perimeter equals the sum of the lengths of the sides.
Let y = the length of the fourth side
[tex]4x^{2} + 3x - 4 = x^{2} + 2x + 15 + x^{2} -x - 10 + x^{2} - x - 10 + y[/tex]
[tex]4x^{2} + 3x - 4 = 3x^{2} - 5 + y[/tex]
[tex]x^{2} + 3x + 1 = y[/tex]
114.3 is what percent of 288? Round to the nearest hundredth. Please don’t get this wrong.
Answer:
39.69%
Step-by-step explanation:
Hope this helps!!
Write v as a matrix that could be used in transformation calculations.
Using the matrix at the right that represents rectangle ABCD, list the coordinates of C:
Answer:
1. A
2. C: (8, -5)
Step-by-step explanation:
edge
1. A
2. c
Step-by-step explanation:
edge 2021
Which is one way for individual citizens to have a positive impact on air quality?
How much interest will Jamal owe when he graduates from college if he took out a $2,500 student loan during his last year of college? The interest rate was 5 percent and payments were deferred during that year
Solve the equation for -2/3x= -12
A. -18
B. -8
C. 8
D. 18
Answer:
D, 18.
Step-by-step explanation:
1. We need to separate any value from x, so we must remove (-2/3) from the left side of the equation and place it on the right by dividing by (-2/3).
-2/3(x) = -12
2. We recognize that the negatives cancel each other out, so it cannot be A or B. Also, remember that dividing by a fraction or decimal will always increase the value of your answer. Therefore, the answer must be 18.
x = -12 times -3/2
x = 36/2
x = 18
Help please 878777056586
Answer:
The answer is 3
Step-by-step explanation:
Because 4x6=24
2x2x2=8
24 divided by 8=3
Hope this helped and have a great day!
A grain trader buys the following amounts from three suppliers: 3,200 pounds, 7,200 pounds and 600 pounds. What is the total weight of this purchase
The total weight of the grain purchase is 5.5 tons when grain trader buys the following amounts from three suppliers: 3,200 pounds, 7,200 pounds and 600 pounds.
To find the total weight of the grain purchase in tons, we need to convert the weight from pounds to tons and then sum them up.
Given the weights from the three suppliers:
Supplier 1: 3,200 pounds
Supplier 2: 7,200 pounds
Supplier 3: 600 pounds
To convert pounds to tons, we divide the weight in pounds by the conversion factor of 2,000 (since there are 2,000 pounds in a ton).
Supplier 1's weight in tons: 3,200 pounds / 2,000 = 1.6 tons
Supplier 2's weight in tons: 7,200 pounds / 2,000 = 3.6 tons
Supplier 3's weight in tons: 600 pounds / 2,000 = 0.3 tons
Now, we can calculate the total weight by summing up the weights from each supplier:
Total weight in tons: 1.6 tons + 3.6 tons + 0.3 tons = 5.5 tons
Therefore, the total weight of the grain purchase is 5.5 tons.
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How to play the full song fires edge on bb clarinet (actual notes)
Answer:
cool
Step-by-step explanation:
Please... I just gave out 70 points and no one helped me. They just took the points and left
7. A computer software manufacturer wanted to know if its customers were satisfied with
the graphics in a new game program called Zinger they released six months ago. The
company randomly polled 1000 of the 50,000 people who had purchased the program.
Here is part of the results of the poll:
Zinger Program Graphics Percent
Satisfied with Graphics 42%
Not Satisfied with Graphics
No Opinion 13%
a. What percent of the 1000 game users surveyed were not satisfied with the graphics
of Zinger? (2 points)
b. Based on the survey findings, how many of the current 50,000 game users would the
company expect to not be satisfied with the graphics or to have no opinion? (3
points)
c. Based on the survey findings, the software manufacturer has decided to create a new
version of the game program with improved graphics. Why did they make this
decision? (2 points)
Please I don't have any more points
Answer:
A)
45% of customers were not satisfied with the graphics.
B)
22,500 people are expected to not be satisfied with the graphics.
6,500 people are expected to have no opinion.
C)
The majority of people are unsatisfied with the graphics.
Step-by-step explanation:
The company polled 1,000 out of the 50,000 people who had purchased the program.
42% was satisfied with the graphics.
And 13% had no opinion.
Part A)
When totaled, those satisfied, unsatisfied, and with no opinion should be 100%.
Since 42% are satisfied and 13% have no opinion, this leaves 100 - 42 - 13 or 45%.
So, 45% of customers were not satisfied with the graphics.
Part B)
Since 45% of the polled were unsatisfied with the graphics, 45% of the total 50,000 can also be expected to not be satisfied.
45% of 50,000 is 0.45(50000) = 22500.
So, 22,500 people are expected to not be satisfied with the graphics.
Likewise, 13% had no opinion.
So, 13% of 50,000 is 0.13(50000) = 6500.
6,500 out of the current 50,000 customers are expected to have no opinion with the graphics.
Part C)
Since the majority of people are unsatisfied with the graphics (45% > 42%), it is reasonable to create a new version with improved graphics.
The answers are in the photo. Hope this helps! ;)
In your own words what is the definition of reflection (in geometry)
Answer:
a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip
Step-by-step explanation:
Concession stand sales for football games totaled $1,563. The actual cost for the food and beverages was $395. How much profit did the concession stand make?
Answer:
$1168 i think
Step-by-step explanation:
The sales tax in your city is 8.8 and an item costs $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
PLEASE HELP ME QUICK!!
Pythagorean Theorem
a=33, b=?, c=44.1
A) 858.5
B) 11.1
C) 1024
D)29.3
Answer:
d
Step-by-step explanation:
44.1^2-33^2=855.81
sqrt of 855.85 = 29.25423046
round to the nearest tenth to get 29.3
could someone please help and fast?
Answer:
x=28
Step-by-step explanation:
Answer:
x=28
Step-by-step explanation:
50 - 22 = 28
Please mark as brainliest.
learning task 4 answer the following show your solution using decimal and proportion methods
1. in survey the barangay had a certain number of families and 60% of them are identified and belong to the poor or marginalized sector if the total families is 150 how many families are belong to the poor sector?
2. lola remedios went to groceries to buy her daily needs if the total amount of her groceries is P 2,500.00 what would be the new amount if the store granted her 20% senior citizens discounts?
3. a passenger bus can accommodate 60 sits. During pandemic they reduce their accommodation to 50%. what is the actual sits can accommodate by the passengers?
Answer:
1. 90 families
2. P 500
3. 30 sits
Step-by-step explanation:
The computation is shown below:
1. The number of families belong to the poor sector is
= 150 ×60%
= 90 families
2. The new amount is
= P 2,500 × 0.20
= P 500
3. The actual sits accommodated by the passengers is
= 60 sits ×50%
= 30 sits
9) using opposite operations, solve for m
4m+8=12
Answer: 1
Step-by-step explanation:
4m + 8 = 12
=> 4m = 4
=> m = 1
Answer:
Subtract 8 from both sides now your left with 4m and 4. Divide 4 from both sides to get 1. 1 is your answer
d. Lauren and Gina's mother told her daughters they can
swim in the pool for 20 minutes. First, they swam laps in
the pool for 7 minutes. Then they swam underwater for
one minute. Then they played water polo for 8 minutes.
How much longer can they stay in the pool?
Answer:
4 minutes left
Step-by-step explanation:
20 - 16 = 4
The longer can they stay in the pool 4 minutes left.
We have given that,
Lauren and Gina's mother told her daughters they can
swim in the pool for 20 minutes.
First, they swam laps,
The pool for 7 minutes.
Then they swam underwater for one minute.
Then they played water polo for 8 minutes.
We have to determine the longer can they stay in the pool.
How many seconds in 1 minute?1 minute =60 second
4 minutes left
20 - 16 = 4
The longer can they stay in the pool 4 minutes left.
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