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]
Texas is home to about 70% of the 47 species of bats in the United States. About how many species of bats live in Texas?
Answer:
33
Step-by-step explanation:
70% of 47 is 33 species
Answer:
32.9
Step-by-step explanation:
A variable needs to be eliminated to solve the system of equations below.
Choose the correct first step.
-10x + y = 64
-10x + 5y = 40
Answer:
-10x + y = 64
Step-by-step explanation:
hope it helps
please help asap!!!!!!!!!!!!
7853.98mm
Step-by-step explanation:
Circumference is pi times diameter so the diameter is 100 millimeters
Diameter is 2 times the radius so the radius is 50 millimeters
Area is pi times the radius squared so the area is about 7853.98 millimeters squared
Answer:
A = 795.77
Step-by-step explanation:
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=1002
4·π≈795.77472
Can someone please help i will mark brainliest i need help asap.
Answer:
14.3
Step-by-step explanation:
14.3
Answer:
13 inches or 13.3 feet
Step-by-step explanation:
:)
pls help LOTS OF POINTS!!!! HELP!!!!!!
Answer:
8
Step-by-step explanation:
kiran's backpack weighs 3 pounds less
than Claire's backpack.Claire's backpack weighs 14 pounds.how much does kiran's backpack weighs?select ALL that apply.
x +3=14
3×=14
×=14-3
×=14÷3
Answer: x+3=14 and x=14-3
Step-by-step explanation:
What is the value of X?
Answer: x=1
Step-by-step explanation:
In any parallelogram, the two diagonal bisects each other. (For visual, please look at the attachment below)
-----------------------------------------------------------------------------------------
Given
6x=5x+1 (They are the two segments of one diagonal. Since they are
bisected, they are equal)
Subtract 5x on both sides
6x-5x=5x+1-5x
x=1
Hope this helps!! :)
Please let me know if you have any questions
Factor as the product of two binomials.
x^2 – 100
Answer:
(x+10)(x-10)
Step-by-step explanation:
hi!!! what’s the area and formula for this problem??
Answer:
134.28 m²
Step-by-step explanation:
I suppose this is an isosceles triangle
tan 75° = 2 + √3 = 3.73 = h / 6 (h: height and 6 = 12/2, 1/2 of base)
h = 6 x 3.73 = 22.38
Area = (12 x 22.38) / 2 = 134.28
I need help with only B pls
Answer:
The population is increasing
Step-by-step explanation:
You can tell that function is increasing from the equation because the rate of change is [tex]\frac{5}{4} = 1.25[/tex]
Since this value is greater than [tex]1[/tex] it indicates that the population is being increased.
plz mark me brainliest. :)
How do you find the perimeter of any closed figure?
Answer:
add the lengths of each side of the shape. If there are units, include units in your final result.
Step-by-step explanation:
add the lengths of each side of the shape. If there are units, include units in your final result.
Answer:
add up all of the sides. hope this helps!
Step-by-step explanation:
Perimeter is a one-dimensional measurement that represents the distance around a closed geometric figure or shape (no gaps). To find perimeter, add the lengths of each side of the shape. If there are units, include units in your final result.
find the geometric mean of 8 and 17
Hello, if you know the answer, please explain how you got the answer to this
Answer:
b
Step-by-step explanation:
because the bottom part of the triangle shrunk by 4
Simply 5 sin theta sec theta
Answer:
d 5 tan theta
Step-by-step explanation:
5 sin theta x 1/cos theta
5 (sin theta/cos theta)
5 tan theta
WILL MARK YOU BRAINLIEST
Answer:
because WXYZ is a rhombus
=> WX // YZ
=> ZWX + WZY = 180⁰
=> WZY = 180⁰ - ZWX = 180⁰ - 77⁰ = 103⁰
xy^2/xy + x^2y^2
ANSWER ASAP WILL GIVE BRAINLY
Answer:
x (y^2xy + xy^2)
Step-by-step explanation:
Solve for x 6 = 2( x + 0)
Answer:
x = 3
Step-by-step explanation:
Answer: x = 3
Step-by-step explanation:
Help i dont know the answer
Answer:
25
Step-by-step explanation:
In her first 5 days, she reads 80 pages. That means that per day, she reads 16 pages. Then, she had 400 pages left, since 480-80 = 400.
So, you divide 400/16 = 25 days.
please help again :,)) is it one solution, all solutions, or one
please show your work.
Answer:
Infinite many solutions
Step-by-step explanation:
If you graph it there is only 1 line
Simplify 5x - 3(x – 2) – x
Answer:
x - 2
Step-by-step explanation:
distributive property first since you stick with parentheses first (PEMDAS)
so 3x - 6 is what it would be.. then you would want to think of the equation as 5x - 3x - 2 - x. seems somewhat complicated but to others not so much.
Next you’re gonna just want to subtract, but you should probably make the problem easier so you can just subtract across right? it’d be 5x - 3x - x - 2. that way all the x variables are together and anything else is separate.
5x - 3x is 2x - x or - 1x is x or 1x.
i think just using the variable x for it being 1 is easier so now we have the problem x - 2.
anything else? nope! that’s the simplified equation.
hope that i was able to help :)
I need help Please!!!!
Answer:
48 inches
Step-by-step explanation:
[8/3](18) =48
Kristen bought a skirt for $25 and tennis shoes for $60. There was 7% tax charged on the total. How much is the total purchase price after tax?
Answer:
$90.95
Step-by-step explanation:
$25+$60=$85
$85x0.07=$5.95
$85+$5.95=$90.95
Answer: $90.95
60+25= 85
85*.07= 5.95
85+5.95= 90.95
Classify each angle
Name Each Angle in Four Ways
Answer:
1) Obtuse angle
2) Obtuse angle
3) Acute angle
You can do 4 and 5. I will give you a hint that acute angles are less than 90 degrees and obtuse angles are more than 90 degrees. And if it is a straight line it is 180 degrees.
6) Angle KLM, MLK, Obtuse angle, and angle 5.
7) Angle DCB, BCD, Obtuse angle, and angle 5.
You can do 8. I will give you a hint that the letters will start from end-middle-end and it can be opposite. If getting confused then look what I did. On muber 6, my I typed angle KLM and angle MLK. Both of them are same but look on how I typed. Also while naming angles, they will be in capital.
Hope this helps, thank you !!
you can buy 3 t-shirts for $22.50. write and solve a proportion that shows how many t-shirts you could buy with $110
Answer:
14.6 T-Shirt
Step-by-step explanation:
Well, you divide 22.50 and 3 and you get 7.5.
Once you get 7.5 you divide it by 110 which is 14.6
The winning time for a race are shown in the table.
Which answer describes the average rate of change from year 2 to year 4?
A) the winning time increased by an average of 0.4 second per year from year 2 to year 4.
B) the winning increased by an average of 0.8 second per year from year 2 to year 4.
C) the winning time increased by an average of 0.475 second per year from year 2 to year 4.
D) the winning time increased by an average of 0.267 second per year from year 2 to year 4.
Answer:
The winning time increased by an average of 0.4 second per year from year 2 to year 4.
Step-by-step explanation:
I just took the quiz
The winning time for a race displayed in the table would be:
A). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.
Find the increase in winning time:Given that,
Year Winning Time(seconds)
1 27.5
2 28.4
3 28.7
4 29.2
5 29.44
The total change in the time = (0. + 0.3 + 0.5 + 0.24)/4
= 0.485 seconds
If we round off, it becomes 0.5 seconds.
Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.
Thus, option A is the correct answer.
Learn more about "Time" here:
brainly.com/question/26941752
After a hike, a group of s students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expression represents how many granola bars each student has?
Answer:
40/s
Step-by-step explanation:
Number of granola boxes = 5
Number of granola per box = 8
Total granolas = 8 * 5 = 40 granola bars
Number of students = s
If each students takes equal share : Number if granola bars taken by each :
Total number of granola bars / number of students
= 40 ÷ s
40/s
You purchase a new shirt that cost $15.00. Sales tax is added at the register at a rate of 8%. How much sales tax will be added to the cost of the shirt when you pay for it.
Answer:
16.2 U.S. Dollars - I hope this helps! :D
Step-by-step explanation:
PLEASEEE HELP MEEEEE EASY 10 POINTSSS
Answer:
y = -3x + 3
Hope this helps, thank you !!
Four positive whole numbers add up to 96
One of the numbers is a multiple of 19
The other three numbers are equal.
What are the four
numbers?
Multiple of 19
goes here
Other four Positive whole number is 13
What is whole number?The whole numbers are the numbers without fractions and it is a collection of positive integers and zero. It is represented by the symbol “W” and the set of numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}. Zero as a whole represents nothing or a null value.
According to the question
First, we consider that if we add together three equal numbers, the result must be a multiple of three. For example, 7 + 7 + 7 = 21, or 11 + 11 + 11 = 33.
Algebraically, we'd say that n + n + n = 3n.
So this means that if we subtract the first number (the one that's a multiple of 19) from 97, we will have a result that is a multiple of 3.
What could the first number be? 19, 38, 57 or 76 . Any other value is larger than the sum of 7, which is not possible if all the integers are non-negative.
Based on this, we can find all possible sums of the other four numbers, by subtracting each of the numbers above from 96:
96 - 19 = 77
96 - 38 = 58
96 - 57 = 39
96 - 76 = 20
Remember what I said earlier? The other four numbers must add to a multiple of 3. The only one of those sums above that is a multiple of 3 is 39. Therefore, we conclude that the first number is 57, and the other four numbers are each 13 (because 39 / 3 = 13).
Hence, other four number is 13
To learn more about whole number from here
https://brainly.com/question/17429689
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A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
8x+9y= -82
-x-9y=89
Answer:
Step-by-step explanation:
Hey could U help me with this question