The given expression [tex]\rm 12x^2-13x+3[/tex]equivalent to (3x - 1)(4x - 3) option second is correct.
What is a quadratic expression?A quadratic expression is a second-degree algebraic expression represented by the:
[tex]\rm f(x)=ax^2+bx+c[/tex] ........(1)
Where a, b, and c are the constants and
We have the quadratic expression:
[tex]\rm f(x)=12x^2-13x+3[/tex]
[tex]\rm f(x)=12x^2-9x-4x+3[/tex] (we can write -13x as a sum of -9x and -4x)
After taking common term, we get:
[tex]\rm f(x)=3x(4x-3)-(4x-3)[/tex]
[tex]\rm f(x)=(4x-3)(3x-1)[/tex] or
[tex]\rm f(x)=(3x-1)(4x-3)[/tex]
Thus, the given expression [tex]\rm 12x^2-13x+3[/tex] is equivalent to (3x - 1)(4x - 3).
Learn more about quadratic equations here:
brainly.com/question/2263981
Find the value of f(5) for the function.
F(x)=6+3x
Answer:
21
Explanation:
To solve this problem, you substitute in the 5 for the x creating this equation: f(5)=6+3(5).
f(5)=15+6
f(5)=21
Please help me ASAP
Answer:
109
Step-by-step explanation:
the sum of 37 and 72 is equal to x
proof:
37+72 = 109
three angles of a triangle form 180 degree
to find the angle which is not given,
180 - 109 = 71
as you can see, angle with the measure 71 degree and angle x form a straight line, which means their sum is 180
so,
x = 180 - 71
x = 109
that means ,
=> 37+72 = x
=> 109 = 109 [ 37+72 = 109, x = 109]
hope this helps :)
Answer:
Option D is correct answer that is 109° .Step-by-step explanation:
Question : -Find the value of x in this triangle .
Given : -Angle 1 = 37°Angle 2 = 72°Angle 3 = y° ( We are assuming it as y )Angle 4 = x°To Find : - We have to find the value of x .Solution : -We know that sum of all the interior angles of triangle is equal to 180° . Then ,
Angle 1 + Angle 2 + Angle 3 = 180°37° + 72° + Angle 3 = 180°109° + Angle 3 = 180°Angle 3 = 180° - 109°Angle 3 = 71°Therefore , Angle y = 71° .
Now , We know that Angle 3 and Angle 4 is equal to 180° because they are Linear pair . So ,
Angle 3 ( y )+ Angle 4 ( x ) = 180°71° + x° = 180°x° = 180° - 71°x° = 109°Therefore , value of Angle x is 109° .
#[tex] \rm{Keep \: Learning}[/tex]Suppose that the volume of a right circular cylinder is 288 cubic meters and the area of its base is 16 square meters. What is the height of the cylinder?
A. 12 m
B. 16 m
C. 18 m
D. 14 m
Answer: 18
Step-by-step explanation:
288 / 16 = 18
Answer:
C) 18 m
Step-by-step explanation:
Brody made his specialty dessert last night. He used 1/2 cup of white sugar and 2/3 cup of brown sugar. How much more brown sugar did Brody use than white sugar?
Answer:
1/6
Step-by-step explanation:
Tell me if you need one
Joanna draws a scale model of a rectangular table for a carpenter to build. On her drawing, \frac{3}{4} 4
3
of an inch represents 11 foot. In the drawing, the table is 7\frac{1}{2}7 2
1
long. How long, in feet, will the table be when the carpenter builds it?
The length of the rectangular table the carpenter builds given the scale is 110 feet
What is the length of the drawing?A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension
Length of the table = (11 x 7 1/2) ÷ 3/4
(11 x 15/2) x 4/3 = 660/6 = 110 feet
To learn more about scale drawings, please check: https://brainly.com/question/26388230
please help fast it is due
A right triangle with a 45 degree angle means the two short sides are the same, so y = 30
the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)
answer: x = 30sqrt(2) and y = 30
The table shows the number of colored pencils in lauren's backpack.
2
the ratio of black pencils to total colored pencils in lauren's backpack is 1 : 9. how many orange pencils does lauren have in her backpack?
3 pencils
pencils
9 penals
12 pencils
Answer:
3
Step-by-step explanation:
PLS HELP ASAPPPPP!!!!!
Answer:
first you write number 4,second the frequency you write number 5...for this data
I need more help!....
Answer:
1) Factored Form: y = (x - 3)(x + 1)
X intercepts: (-1, 0), (3, 0)
Axis of Symetry: x = 1
Vertex: (1, -4)
Domain: All real numbers - (-∞, ∞)
Range: y ≥ 4
2) Facotred Form: y = (x - 8)(x + 1)
X intercepts: (-1, 0), (8, 0)
Axis of symetry: x = 3.5
Vertex: (3.5, -20.25)
Domain: All real numbers - (-∞, ∞)
Range: y ≥ -20.25
Step-by-step explanation:
what make this equation true? 4s+3=63
★ 1st solve the given equation to find value of "s".
[tex]\sf{⇝4s+3=63} \\ \\ \sf{⇝arranging \: terms} \\ \\ \sf{⇝4s=63-3} \\ \\ \sf{⇝4s=60} \\ \\ \sf{⇝s=\cancel\frac{60}{4}} \\ \\ \sf{⇝s=15} \\ \\ [/tex]
★ substituting s= 15 to check whether the equation is true or not?
4(15)+3=6360+3=6363=63 LHS=RHS★ hence,the above equation is true !
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
What is the value of the x-coordinate of point A?
What is the mean for this list of numbers 4,8,12,13
Answer:
4, 8, 12, 13
In order to find the mean you must add all of the values together and then divide by the number of numbers. 4 + 8 + 12 + 13 = 37
Now we divide: 37 ÷ 4 = 9.25
So the mean is 9.25
I hope this helps! :)
What is the difference between surface area and lateral surface area?
Answer:
Surface area is the sum of all areas/faces of a solid, INCLUDING bases.
Lateral surface area is the surface area of a solid WITHOUT bases.
hope this helps :)
i will give 100 points
Part A
(√6)² x (√2)²6 x 212Part B
(∛3)³ x (√12)²3 x 1236Addtional Information:
[tex]\bold{(\sqrt{x} )^2 = x}[/tex][tex]\bold{(\sqrt[3]{x} )^3 = x}[/tex]Answer:
(a) 12
(b) 36
Step-by-step explanation:
Knowledge check: [tex]\sqrt{x} =\sqrt[2]{x}[/tex]
Apply the exponent rule:
[tex](\sqrt[n]{x})^n=x\quad\textsf{if}\:n\:\textsf{is odd or}\:x\geq 0[/tex]
Question (a)
[tex](\sqrt{6})^2 \times (\sqrt{2})^2=6 \times 2=12[/tex]
Question (b)
[tex](\sqrt[3]{3})^3 \times (\sqrt{12})^2=3 \times 12=36[/tex]
A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. If the company used 28,134.4cm cubed of steel, how many rods did it make?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.
P,Q and R are points on a circle, centre O, if angle OPQ=36 degree, what is the size of angle PRQ.
Answer:
18
Step-by-step explanation:
an angle subtended by a chord to the center is twice to that subtended by the same chord to the circumference
Open-Ended Write an equation for the line in slope-intercept form. Use pencil and paper. Which part of writing the equation is the most difficult? The easiest?
Explain.
Answer:
y=3x-2, The most difficult part is finding the m or slope. The easiest part is identifying the y-intercept
Step-by-step explanation:
Use the slope formula
How do you solve 2. 310x/4y times 8y/5x =
Answer: 0.924
Step-by-step explanation:
Given
[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]
Simplify [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]
[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]
Cancel y
[tex]0.5775x* \frac{8}{5x}[/tex]
Cancel x
[tex]0.5775* \frac{8}{5}[/tex]
Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]
[tex]\frac{0.5775*8}{5}[/tex]
Simplify
[tex]\frac{4.62}{5}[/tex]
Simplify
0.924
Yo I need to bring up my math grade bad so
y>-x+1
(please show it graphed already :D)
Answer:
Step-by-step explanation:
(27-241)¹⁵
please someone answer this asap!!1
Answer:
Phhshh- Ez
It's: -90407945526160061369845453076660224 or for factor: (In image below
Step-by-step explanation:
(27−241)
15
Subtract 241 from 27 to get −214.
(−214)
15
Calculate −214 to the power of 15 and get −90407945526160061369845453076660224.
maths i need help i cant find the ans
Answer:
16 and 25
Step-by-step explanation:
they are square numbers
1^2 = 1 .. etc.
this is a I
There is an error 2*2 is 4 lol realised I wrote tht whoops
(2x-3)(3x+4) Pls help urgent
Answer:
[tex]\boxed{\sf{6x^2-x-12}}[/tex]Step-by-step explanation:
Use the distributive property.
Use the foil method formula.
Distributive property:
⇒ A(B+C)=AB+AC
Foil method formula:
[tex]\Longrightarrow: \sf{(A+B)(C+D)=AC+AD+BC+BD}[/tex]
(2x-3)(3x+4)→ 2x*3x+2x*4-3*3x-3*4
Solve.
[tex]\Longrightarrow: \sf{2x*3x+2x*4-3*3x-3*4=\boxed{\sf{6x^2-x-12}}}[/tex]
Therefore, the correct answer is 6x²-x-12.I hope this helps you! Let me know if my answer is wrong or not.
The rate for shipping by air express is $8.50 per 100 kg.
Which is the cost for a 250 kg shipment?
Answer:
It will cost $21.25
Step-by-step explanation:
We can use ratios to solve
8.50 x
-------- = -----------
100 kg 250 kg
Using cross products
8.50 * 250 = 100 x
Divide each side by 100
8.50 * 250/100 = x
21.25 = x
It will cost $21.25
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
7.093 cm
Step-by-step explanation:
[tex]4.5^2+x^2=8.4^2[/tex]
[tex]20.25+x^2=70.56[/tex]
[tex]x^2=50.31[/tex]
[tex]\sqrt{50.31}= 7.093[/tex]
This is the number in standard form: 500,802,009,612
What is the number in expanded form?
Dante is solving the system of equations below.
r+S-=-4
2r-35+=1
3r-2s+21= 3
He writes the row echelon form of the matrix. Which matrix did Dante write?
Answer:
The answer is the first matrix. Image attached.
Step-by-step explanation: Given that Dante is solving the system of equations:
In solving the above system of equations, Dante writes the row echelon form of the matrix. We are to select the correct row echelon of the matrix that he wrote.
We know that a matrix is said to be in row echelon form if the leading entry in each nonzero row is a 1 and each column containing a leading 1 has zeros everywhere else.
In the given options, these conditions are satisfied by the first option only. And also, if we write the solution from this matrix, we will have
r = -1, s = 0 and t = 3.
If we substitute these values in the given system, it will get satisfied.
Thus, the first matrix, attached herewith, is the correct matrix.
You want to rent a car. The cost is $120 per day. You are allowed 100 miles per day--but any mileage above that amount will cost $0.35 per mile. You rent the car for 5 days, and drive 925 miles. The car gets 25 miles to the gallon, and a gallon of gas costs $4.
pls help im so confused
Answer:
600$ rent for 5 days,
around 185 miles a day, meaning you are paying 0.35$x85=29.75 extra a day.
adding up to 120 a day+29.75=149.75 a day.
149.75x5=748.75 for 5 days not including gas prices.
925/25=185 gallons of gas. 4 dollars per gallon, meaning that 185x4=740 extra dollars in gas
748.75+740=1488.75$ for the entire trip.
1488.75
Two lines that are ____________ have one solution.
Answer:
Not parallel
Step-by-step explanation:
Could be perpindicular or not parallel
An exam has two papers. Anil scores 22 out of 80 on paper 1 and 75 out of 100 on paper 2. Work out his percentage score for the exam.
Answer:
53.89%
Step-by-step explanation:
total no. obtainable = 80 + 100 = 180
total scores acquired = 22 + 75 = 97
percentage = (total acquired/total possible) × 100
= (97/180) × 100
= 53.89 %
Name two sides that appear to be parallel
Step-by-step explanation:
These are sides that will never meet and are always the same distance apart. Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon.