Answer: Its C!( 15 units)
Step-by-step explanation:
Which polynomial can be factored using the binomial theorem?
100x2 + 70x + 49
100x2 + 210x + 49
1,000x3 – 2,100x2 + 1,470x – 343
1,000x3 – 2,800x2 + 1,960x – 343
Answer:C
Step-by-step explanation:
The polynomial can be factored using the binomial theorem is
1,000x³ – 2,100x² + 1,470x – 343.
What is Binomial Theorem?Assertion that the sum of the nth power of the product of two positive integers a and b may be written as the sum of the n + 1 terms of the form for any positive integer n.
If a and b are real numbers and n is a positive integer, then
[tex](a + b)^n =^nC_0 a_n + ^nC_1 a_{n-1} b_1 + ^nC_2 a_{n-2} b_2 + ... 1.[/tex]
Given:
Using Binomial we can write
(a+ b)³ = a³ + b³ + 3a²b + 3ab²
and, (a+ b)² = a² + 2ab + b²
So, 100x²+ 70x + 49 and 100x² + 210x + 49 cannot be factors using Binomial Theorem because the correct expansion would be
(10x+ 7)² = 100x² + 140x + 49
and, 1,000x³ – 2,100x² + 1,470x – 343 can be factored using Binomial theorem.
As, (10x - 7)³ = 1000x³ -2100x² + 1470x - 343.
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Find the value of x.
(Reposted)
Answer:
one circle has a total angle of 360. Hence, 360-101= 3x+2+x-35
259=4x-33
292=4x
x=73 degrees
Helpppppppppppppppppp
Answer:
6
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
90 Degrese Rotation
Which is an equation for the line that contains (-1, -2) and has a slope of -5?
Enter the value for x that makes the equation 1/2 (4x – 8) + 3x = 36 true.
Answer:
x = 8
Step-by-step explanation:
1/2(4x – 8) + 3x = 36
~Simplify left side
2x - 4 + 3x = 36
~Combine like terms
5x - 4 = 36
~Add 4 to both sides
5x = 40
~Divide 5 to both sides
x = 8
Best of Luck!
through: (-3, -4) and (2, 1)
Answer:
y = 1x - 1
Step-by-step explanation:
[tex]\frac{y2-y1}{x2-x1}\\\frac{1-(-4)}{2-(-3)}\\\frac{1+4}{2+3}\\\frac{5}{5}=1\\y=1x+b\\1=1(2)+b\\1 = 2 + b\\-1 = b\\y = 1x-1[/tex]
Marta received $5 for helping her dad in the back yard. She spent $2.40 on drinks and $1.33 on snacks. A)Write an equation to show how much money she has left. Remember to define your unknown. B)Solve the equation from part (a). Show your work
Answer:
5-( 2.40+1.33 )= $1.27
Step-by-step explanation:
If you add $2.40 to $1.33 you get $3.73, the total amount of money she spent on drinks and snacks. Then you would need to subtract $3.73 from $5.00, which is $1.27.
I hope this helps!
This is the second time I put this, PLEASE ANSWER!!!
Subtract.
7h 15min 12s
2h 03min 46s
OPTIONS:
5 hours, 11 minutes, 26 seconds
5 hours, 11 minutes, 34 seconds
5 hours, 12 minutes, 26 seconds
5 hours, 12 minutes, 34 seconds
Answer:
5h 11m 26sec
Step-by-step explanation:
7h 15m 12 sec
2h 03m 46 sec
-----------------------
5h 11m 26sec
Answer:
7h 15m 12s
-2h 03m 46s
...................
5h 11m 46s
Step-by-step explanation:
How do u do this I am so confused please help!!
Answer:
x = √145
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify Variables
Leg a = 12
Leg b = x
Hypotenuse c = 17
Step 2: Solve for x
Substitute [PT]: 12² + x² = 17²Isolate x term: x² = 17² - 12²Exponents: x² = 289 - 144Subtract: x² = 145Isolate x: x = √145the slope and y intercept of y=-8x
Answer:
m = -8
b = 0
Step-by-step explanation:
In slope intercept form [ y = mx + b ], m = slope and b = y-intercept.
We aren't given a b value, but we are given a m value which is -8.
Best of Luck!
Identify the elementary row operation(s) being performed to obtain the new row-equivalent matrix. Original Matrix −1 −1 2 −1 2 −7 3 −5 4 4 −6 3 New Row-Equivalent Matrix −1 −1 2 −1 0 −9 7 −7 0 0 2 −1
Answer:
124589l
Step-by-step explanation:
Nası ndsl merhaba hocam nasılsınız merhaba canım nasılsın merhaba canım benim ya da arama yapmayınız nasılsın bir yöntem olup olmadığını düşünelim sırasıyla görüşmek dileğiyle iyi geceler tatlı uykular haram olsun
Help!- How dilations are used in everyday life ? How about similarity transformations ?? How are they meaningful
Answer: Dilations can be used in architecture in order to make a sample of their final design. They must dilate the scale and measurements to match to their sample.
A you tube plugg in: please check : (
If you could please check out our you tube channel, Evimero Academy
Thank you so much and have a wonderful day
it's a two step equation
Answer: -15=x
Step-by-step explanation: subtract 10 on each side then divide -5 on both sides to isolate the variable
-5x=+10-85
5x=-75
x=-75/5=> x= -15
..............................................................................
thank you love <3 greatly appreciated.
Help I only got a limited time
Answer:
Red
Step-by-step explanation:
Y intercept is 1
Slope is -2 (line is going down so the slope is negative)
Answer:
the yellow box
Step-by-step explanation:
How would you use a table to graph –3x + 4y = 23?
Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line
Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed
pls help (15 pts)
whats the value of p
Solve problem in photo (8th math)
HELP PLEASE! IT"S DUE IN 5 MINUTES!!!
Answer: where’s the question??
Step-by-step explanation:
Answer:
what do you need help with??
Step-by-step explanation:
3x^2+ 4x + 5 for x = -2
Rafael said 5 equals – 5. Is Rafael correct? Use the number line and words to support your answer.
Answer: Rafael is incorrect
Step-by-step explanation: 5 is not equal to -5. It is the additive inverse, or negative reciprocal.
Answer:
No he is not because 5=5 when talking about absolute value I think sorry I couldn't show the number line
Step-by-step explanation:
Evaulate A+7 when a=4
Answer:
11
Step-by-step explanation:
Plug in 4 for a and solve.
4+7 = 11
Answer:
4+7=11
Step-by-step explanation:
What is the value of y in the solution to the system of equations?
One-thirdx + One-fourthy = 1
2x – 3y = –30
Answer:
y-value = 8
Step-by-step explanation:
1/3x + 1/4y = 1 is the same as 4/12x + 3/12y = 1
which is the same as (4x + 3y)/12 = 1
which is the same as 4x + 3y = 12
add both equations and the 'y' will cancel and you will have 6x = -18
x = -3
2(-3) - 3y = -30
-6 - 3y = -30
-3y = -24
y = 8
Answer:8
Step-by-step explanation:
The cost for an order of 100 kilograms of steel bars is $230. The cost for an order of 150 kilograms of steel bars is $320. Write an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x). Show or explain how you found your equation.
Answer:
y = 9x/5 + 50
Step-by-step explanation:
We are represent the information as coordinate (x,y)
If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)
Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;
(150, 320)
Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c
m is the slope
c is the intercept
Get the slope;
m = y2-y1/x2-x1
m = 320-230/150-100
m = 90/50
m = 9/5
Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c
230 = 9/5(100)+c
230 = 9(20)+c
230 = 180 + c
c = 230-180
c = 50
Get the required equation
y = mx+c
y = 9/5 x + 50
Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50
z+ 3/2 = 0
what do i do next .?
Step-by-step explanation:
z+3/2=0
find the LCM of z +3/2
2z+3/2=0
cross multiply
0=2z+3
-3=2z
z=-3/2
z=-1.5
Having trouble,Whats 1/3 (-2/4)
Answer:
-1/6
Step-by-step explanation:
im assuming you meant multiply them? if so then
1 -2 -2 -1
--- * --- = --- = ---
3 4 12 6
or
1/3=4/12 and -2/4=-6/12
4/12*-6/12=-24/144=-1/6
Answer:
-1/6
Step-by-step explanation:
just multiply 1/3x2/4=
and then in front of the answer put the negative sign
PLEASEE HELP AND SHOW WORK IF YOU CAN
Answer:
M=54.62
O=59.69
N=65.68
Step-by-step explanation:
M is the smallest, and N is the largest:)
you can use cossincalc . com !!
Rectangle ABCD has points at A (4, −2), B(4, 4), C(8, 4), and D(8, −2). After undergoing a transformation, its new points are A'(2, −1), B'(2, 2), C'(4, 2), and D (4, −1). Is the new figure congruent to the old figure? Why or why not?
Answer:
The new figure is not congruent with the old figure. They are similar
Step-by-step explanation:
Transformations
We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.
It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.
This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.
Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.
But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.
In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.
Answer:
10
Step-by-step explanation:
The measure of an angle∠I is 10 degrees between the 450 cm and 640 cm sides.
What is the Cosine Rule?The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
c² = a² + b² − 2ab cos(C)
The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.
In the given triangle ΔHIJ,
Sides:
h = 450 m
i = 210 m
j = 640 m
The angle of ∠I is 10 degrees between the 450 cm and 640 cm sides.
According to the cosine rule,
j² = h² + i² − 2ab cos(I)
Substitute the values in the Cosine Rule,
450² = 210² + 640² - 2(210)(640)cos(I)
After solving we get the value of angle ∠I :
∠I = 9.56038°
Rounded to the nearest degree.
∠I = 10°
Thus, the measure of an angle∠I is 10 degrees.
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A high school is designing a new football field. The field is 125 meters long, including the end zones. If 1 meter = 3.2 feet, how long, in feet is the length of the football field?
Group of answer choices
A: 200 ft
B: 400 ft
C: 40 ft
D: 80 ft