2. The envelope below has a mailing label. L(x) = 6x + 5 W(x) = 6x + 5 M(x) = x +4 NOx) = x + 2 MR. AL GEBRA 123 INFINITY WAY POLYNOMIAL, XY 11235 a. Let A(x) = L(x).W(X) - M(x)•N(x). Find A(x).
Answers
Answer:
A(x) = 35x² + 54x + 17
Step-by-step explanation:
Relation in the polynomials has been defined as,
A(x) = L(x).W(x) - M(x).N(x)
L(x) = (6x + 5)
W(x) = (6x + 5)
M(x) = (x + 4)
N(x) = (x + 2)
By substituting the polynomials in the expression,
A(x) = (6x + 5)(6x + 5) - (x + 4)(x + 2)
= (6x + 5)² - (x + 4)(x + 2)
= (36x² + 60x + 25) - (x + 4)(x + 2) [Since, (a + b)² = a² + 2ab + b²]
= (36x² + 60x + 25) - [x(x + 2) + 4(x + 2)]
= (36x² + 60x + 25) - [x² + 2x + 4x + 8]
= (36x² + 60x + 25) - [x² + 6x + 8]
= (36x² - x²) + (60x - 6x) + (25 - 8)
= 35x² + 54x + 17
A(x) = 35x² + 54x + 17
Related Questions
Find x, AB, BC, AC if △ABC is isosceles with AB = BC.
Answers
Step-by-step explanation:
Since we are not given the required parameters, we can use the following parameters
Given:
∠ A = 5 x + 30 °
∠ B = 2 x
Since △ABC is isosceles with AB = BC, then ∠ A = ∠ C (the base angles of an isosceles triangle are equal)
Since sum of angle in a triangle are the same, then;
∠ A + ∠ B + ∠ C = 180°
Substitute the given functions and get x;
5x+30 + 2x + 5x+30 = 180
12x + 60 = 180
12x = 180-60
12x = 120
x = 120/12
x = 10°
∠ A = 5x+30
∠ A = 5(10)+30
∠ A = 80°
Since ∠ A =∠ C
∠ C = 80°
For ∠ B;
∠ B = 2x
∠ B = 2(10)
∠ B = 20°
Let AB = 1, since AB = BC, BC = 1
To get AC, use the sin rule;
a/sin∠ A = b/sin∠ B
a/sin80 = 1/sin20
asin20 = sin80
a = sin80/sin20
a = 0.9848/0.3420
a = 2.879
Hence AC ≈ 3
Note that the values of the sides and angles are assumed.
7. Give an example of a real number that is not rational.
Answers
Answer:
3.14
Step-by-step explanation:
In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, what will the membership be in 2020?
Answers
Answer:
5563.85 But round the nearest whole number is 5564
Step-by-step explanation:
Formule is P=Ie^(r)(t)
If, In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, then 5563.85 is the population in 2022.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
In 2010 the Network Club membership was 2,500.
Annual growth rate of approximately 8%
8% is converted to decimal value by dividing 8 with 100
8/100=0.08
[tex]P=Ie^{rt}[/tex]
p is the final population
I is the initial population
[tex]p=Ie^{0.08(10)}[/tex]
[tex]p=2500e^{0.8}[/tex]
p=5563.85
Hence, 5563.85 is the population in 2020.
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Angela asked each student in her class about the height of the fence around their house. She made the histogram below to
represent the heights of each student's fence.
Height of Fence
16
14
12
10
Students
8
6
4
2
8
10
12
6
Feet
Which statement is true?
OA. The data distribution is both symmetric and skewed.
OB. The data distribution is skewed to the right.
OC. The data distribution is skewed to the left.
OD. The data distribution is symmetric.
Answers
Answer:
Angela asked each student in her class about the height of the fence around their house. She made the histogram below to
represent the heights of each student's fence.
Height of Fence
16
14
12
10
Students
8
6
4
2
8
10
12
6
Feet
Which statement is true?
OA. The data distribution is both symmetric
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
please help asap! xoxo
Answers
Answer:
First one obv false
the second one since they all times 3/4 so yes
Find EF. Please help!
Answers
Answer:
EF = 7 + 39 = 46
Step-by-step explanation:
EF = FG
x + 39 = 7x - 3
39 + 3 = 7x - x
42 = 6x
x = 42/6
x = 7
hope this helps :)
Someone help me please I don’t know how to do this
Answers
Step-by-step explanation:
A
y=10x
x:y=x:10x=1:10
Find the missing length of C given the polygons are similar figures.
Answers
2x4=8
The length of C is 8m
Hope this helps you!
What is the average rate of change in profit from Hour 5 to Hour 10?
Answers
Answer:
d
Step-by-step explanation:
so at 5 hours he was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600
$600 is the average rate of change in profit from Hour 5 to Hour 10
What is Rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity
The given table is
Hour Profit
0 $0
2.5 $500
5 $900
7.5 $1200
10 $1500
5 hours the profit is 900 and 5 hours later he is at a profit 1500
We need to subtract 900 from 1500 to find the average rate of change.
1500-900=600
Hence $600 is the average rate of change in profit from Hour 5 to Hour 10
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The measures of the angles of a triangle are shown in the figure below. Solve for X
Answers
Answer:
34Step-by-step explanation:
Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle
Answer:
34
Step-by-step explanation:
103+43=146
a triangle always adds up to 180 degrees
180-146=34
so that's the workings hope the answers right
Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
2.2%
Step-by-step explanation:
Use the percent error formula:
% error = | (approx - exact) ÷ approx | x 100
Plug in the approx. and exact values:
| (8.9 - 8.7) ÷ 8.9 | x 100
| (0.2) ÷ 8.9 | x 100
= 2.2
So, the percent error is 2.2%
Answer:1.2%
Step-by-step explanation:
∣experimental−actual∣
×100
The formula
∣
8.7
−
8.6
∣
8.6
×
100
8.6
∣8.7−8.6∣
×100
Plug in values
∣
0.1
∣
8.6
×
100
8.6
∣0.1∣
×100
Subtract
0.1
8.6
×
100
8.6
0.1
×100
Take the absolute value
0.0116279
×
100
0.0116279×100
Divide
1.16279
1.16279
Multiply by 100
1.2
%
1.2%
4.What number falls between -28 and -34 on the number line?
A.-29
B. 0
C.-25
D. -35
Answers
A forest covers 66,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answers
Answer:
132
Step-by-step explanation:
easy 66,000 * .002
Plz help very important question
Answers
9514 1404 393
Answer:
g(2a) = 8a
Step-by-step explanation:
Put the argument where the variable is and simplify.
g(a) = 4a
g(2a) = 4(2a) = 8a
g(2a) = 8a
Holly's checking account has a dollar balance. Emily's checking account has a dollar balance. Which of the following is true about their account balances?
A.
Holly's account balance > Emily's account balance
B.
Holly's account balance < Emily's account balance
C.
Holly's account balance = Emily's account balance
Answers
Answer:
C
Step-by-step explanation:
Both Holly and Emily have the same account balance thus it is equal to
Answer:
Dont listen to the person its actually B
Step-by-step explanation:
On a number line, smaller numbers are to the left of larger numbers.
Negative values are always less than positive values.
So, the following is true.
Holly's account balance < Emily's account balance
Is every relation also a function? Explain
Answers
Answer:
no
Step-by-step explanation:
they are not
Answer:
Step-by-step explanation:
In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.
Answer this CORRECTLY! The question will be placed first, I'll place the graphs and in order from A - D, then I want to see what you can do. 100 Points Sounds Nice....
Answers
Answer:
Option D
Step-by-step explanation:
x-axis is the Celsius and
y-axis is the Farenheit
If you look at the points in the table, you will notice that the only graph that contains points (0,32), (10,50), (15,59) is option D. You can assume point (30,86) will also be in the graph by looking at the way the line is going.
This is the same as graphing a line with a point (x,y).
I hope this helps.
-8 - x = x - 4x
how does x equal to 4 and how do u do this
Answers
Answer:
x=4
Step-by-step explanation:
-x=-3x+8
-x+3x=-3x+8+3x
2x=8
2x/2 = 8/2
x = 4
Decide whether each of the following is greater than 1 or less than 1 and explain your answer.
1.) 1/2 ÷ 1/4 =
2.) 1 ÷ 3/4 =
3.) 2/3 ÷ 7/8 =
4.) 2 7/8 ÷ 2 3/5 =
Answers
Answer:
4.) 2 7/8 ÷ 2 3/5 =
1. Greater than 1
2. Greater than 1
3. Less than 1
4. Greater than 1
Step-by-step explanation:
I took the quiz
Write the equation of the line that goes through the point (1,3) & is
PARALLEL to the line y=2x+8 *
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
Let the equation of the line be y = mx + c
since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)
sub (1, 3):
3 = 2(1) + c
c = 1
therefore, the equation is y = 2x + 1
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Complete the real-world situation that could be modeled by the equation 150 − 8x = 170 − 12x. Xavier has $150 in his lunch account. He spends $ for lunch each day. Zack has $ in his lunch account. He spends $ each day. After how many days will the boys have the same amount of money in their accounts?
Answers
Answer:
5 days
Step-by-step explanation:
The question above is modeled by the equation :
150 − 8x = 170 − 12x.
After how many days will both have ye same amount :
Number of days = x
Collect like terms
-8x + 12x = 170 - 150
4x = 20
x = 20/4
x = 5 days
The boys will have the same amount in their account after 5 days.
what is the y intercept
Answers
Set x as 0 and solve
Ignore the dumb kid who said y=8
Write an equation for each problem, then solve for x.
A number increased by 8 equals 32. Find the number. ______________________
Four times a number is 48. Find the number. ______________________
Double a number decreased by 18 is 116. Find the number. ______________________
Add twelve to eight times a number and the result is eighty-four. Find the ______________________
number.
Increase my age by eleven years and I become thirty-seven. Find my age. ______________________
7)Solve each of the following word problems.
a) Amber is 7 years younger than her sister Carley. Together their ages total 43 years.
How old are Amber and Carley?
Amber: ___ years old Carley: ___years old
b) Jordan & Nevin have collected 160 buttons. Jordan has 25 buttons more than twice as
many buttons as Nevin. How many buttons do they each have?
Jordan: _____ buttons Nevin: ____ buttons
c) There are three members in the Murphy family. Mom, Dad & Brittany. Dad is 3 years
older than Mom. Brittany is 32 years younger than her Dad. If the sum of their ages is 64,
find the age of each member of the Murphy family.
Mom: _____years old Dad: ____years old Brittany: ____years old
d) The sum of three numbers is 138. The second number is twice the first and the third is 7
less than the second. What are the numbers?
1st #: _____ 2nd: _____ 3rd: _____
Answers
Subtract 8 from both sides to isolate x.
x = 24
2. 4y = 48
Divide each side by 4 to isolate y
y = 12
3. 2z - 18 = 116
Add 18 to each side, then divide each side by 2 to isolate z
z = 67
4. 8a + 12 = 84
Subtract 12 from each side and divide each side by 8 to isolate a.
a = 9
5. b + 11 = 37
Subtract 11 from each side to isolate b
Age = 26 years
7.
a. 2x - 7 = 43
Add 7 to each side and divide by two to isolate x.
x = 25
Carley is 25 years old and Amber is 18 years old.
b. x + 2x + 25 = 160
Combine like terms, subtract 25 from each side, and divide each side by 2 to isolate x.
Nevin (x) has collected 45 buttons. Jordan has collected 115 buttons.
c. x + x + 3 + x - 29 = 64
Combine like terms, add 26 to each side, and divide by 3 to isolate the variable.
x = 30
Mom (x) is 30 years old, Dad is 33 years old, and Brittany is one year old.
d. x + 2x + 2x - 7 = 138
Combine like terms, add 7 to each side, and divide by 5 to isolate the variable.
x = 29
29, 58, 51
Proving the Parallelogram Side Theorem
Given: ABCD is a parallelogram.
Prove: AB=CD and BC=DA
Angles Segments Triangles Statements Reasons ZBAC ZBCA DAC ZDCA B с Statements Reasons A Assemble the proof by dragging tiles to the Statements and Reasons columns.
Answers
Answer:
A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA = (sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
Step-by-step explanation:
The solution is, ABCD is a parallelogram.
What is parallelogram?A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
here, we have,
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other.
The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA = (sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
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Read the excerpt from A Short Walk Around the Pyramids and through the World of Art.
This is another bronze sculpture, and it is also in a museum. Called Knife Edge Mirror Two Piece, it is a huge work by the British sculptor Henry Moore and stands at the entry of the East Building of the National Gallery of Art in Washington, D.C.
Which text feature would best help readers understand important details in this excerpt?
a drawing of British sculptor Henry Moore
a picture of Knife Edge Mirror Two Piece
a drawing of Henry Moore
a table numbering the sculptures in the East Building
Answers
Answer:
B. a picture of Knife Edge Mirror Two Piece
Step-by-step explanation:
pls give brainliest, u don't have to
Did it on edge, hope u have a good day :)
Answer:
b
Step-by-step explanation:
A forest fire wipes out many trees in an ecosystem. The main limiting factor would be
a.water
b.shelter
c.herbivores
d.predators
Answers
i need help on my finals
Answers
Answer:
Slope of line A is 1/3
Equation of Line B is y = 2x + 4
Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line
Answers
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
The equation which is parallel to the line JK is
a) Parallel is 5x + 3y = 13
b) Perpendicular is 6x - 10y = 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be J ( -5 , 5 )
Let the second point be K ( 1 , -5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )
m = 10 / -6
m = -5/3
The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope
So , the equation of line parallel to JK is 5x + 3y = 13
And , the equation of line perpendicular to line JK is 6x - 10y = 7
Hence , the equation of line is solved
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Solve (x-4)^2 = 5
A. x= 4 +- square of 5
B. x= 9 and x= -1
C. x= 5 +- square of 4
D. x= -4 +- square of 5
Answers
Answer:
A
Step-by-step explanation:
Assuming you mean the square root of five, then the answer is A.
You start by taking the square root of both sides.
√(x - 4)^2 = ±√5
x - 4 = ±5
x = 4 ±5
which one is it?? answer right for brain liest
Answers
Answer:
20 (D)
Step-by-step explanation:
2.5 miles in 1/8 of a mile
so multiply by 8 to get 1 hour
2.5 * 8 = 20