Answers
Answer:
STEP1:
4 Simplify — 1
Equation at the end of step1:
4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+(4•a2))+2a)-4) (a3)
STEP2:Equation at the end of step 2
4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+22a2)+2a)-4) (a3)
STEP 3 :
Equation at the end of step3:
4 (((((((2•(a3))+(4•(a2)))-2a)-————)-22a2)-4a)+16)•(5a2-4a-4) (a3)
STEP 4 :
4 Simplify —— a3
Equation at the end of step4:
4 (((((((2•(a3))+(4•(a2)))-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3
STEP 5 :
Equation at the end of step5:
4 (((((((2•(a3))+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3
STEP 6 :
Equation at the end of step6:
4 ((((((2a3+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3
STEP7:Rewriting the whole as an Equivalent Fraction
7.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using a3 as the denominator :
2a3 + 4a2 - 2a (2a3 + 4a2 - 2a) • a3 2a3 + 4a2 - 2a = —————————————— = ————————————————————— 1 a3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP8:Pulling out like terms
8.1 Pull out like factors :
2a3 + 4a2 - 2a = 2a • (a2 + 2a - 1)
Trying to factor by splitting the middle term
8.2 Factoring a2 + 2a - 1
The first term is, a2 its coefficient is 1 .
The middle term is, +2a its coefficient is 2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1
Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 2 .
-1 + 1 = 0
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Adding fractions that have a common denominator :
8.3 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2a • (a2+2a-1) • a3 - (4) 2a6 + 4a5 - 2a4 - 4 ————————————————————————— = ——————————————————— a3 a3
Equation at the end of step8:
(2a6+4a5-2a4-4) (((———————————————-22a2)-4a)+16)•(5a2-4a-4) a3
STEP9:
Rewriting the whole as an Equivalent Fraction :
9.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using a3 as the denominator :
22a2 22a2 • a3 22a2 = ———— = ————————— 1 a3
STEP10:
Pulling out like terms :
10.1 Pull out like factors :
2a6 + 4a5 - 2a4 - 4 =
2 • (a6 + 2a5 - a4 - 2)
Checking for a perfect cube :
10.2 a6 + 2a5 - a4 - 2 is not a perfect cube
Trying to factor by pulling out :
10.3 Factoring: a6 + 2a5 - a4 - 2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -a4 - 2
Group 2: a6 + 2a5
Pull out from each group separately :
Group 1: (a4 + 2) • (-1)
Group 2: (a + 2) • (a5)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
10.4 Find roots (zeroes) of : F(a) = a6 + 2a5 - a4 - 2
Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -2.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant :
Related Questions
I need help asap!! ty
Answers
That what I got
Answer:
17/5
Step-by-step explanation:
put the value of pi in 2/3p+3
now,
[tex] \frac{2}{3} \times \frac{3}{5} + 3[/tex]
3 cancels 3 and
2/5 +3
=
[tex] \frac{2 + 3 \times 5}{5} [/tex]
hence your answer will be 17/5
Solve the system of equations by the substitution method. x+4y=6 y=3−x
Answers
Answer:
x = 2, y = 1
Step-by-step explanation:
x + 4y = 6 and y = 3 - x have to be rearranged: x + 4y = 6 and x + y = 3
You subtract the equations to eliminate one of the variables (x) so that the other can be found
let (3x+24) represent the measure of a right angle. what are the possible values of x?
Answers
Answer:
x=22
Step-by-step explanation:
because 3x+24=90
3x=90-24
3x=66
x=22
brainlist please
QUWX is a field in the shape of a Trapezium whose parallel sides are 121m and 56m and the non parallel sides are 82m and34m. find the cost of ploughing the field at Rs 14.89 per square kilometre.(help with this one)
Answers
Answer:
hence the total cost to plough the trapezium field
is Rs. 893500.50
Step-by-step explanation:
the required answer may be wrong .... but this is the way to do it....
hope this helped you...☺️
comment if any confusion
What is 4 plus 3 plus 6 plus 10
Answers
Answer:
23
Step-by-step explanation:
4+3+6+10
4+3 = 7
7 + 6 = 13
13 + 10 = 23
This is super easy, no offense
write the equation for the slope intercept form
Answers
Answer:
y=2/3x-1
Step-by-step explanation:
Where on the coordinate plane is the point (-85, 52) located?
Answers
Right answer but i am not conform
x = - 85
y = 52
Graph: y+2= -3/4 (x + 4)
Click or tap the graph to plot a point.
Answers
Put the dot on the 5 on the Y-axis
Step-by-step explanation:
Put the initial dot on the 5 on the y-axis (vertical), then it's rise over run if plotting a line. Since it's 3/4 you would go up 3 and over to the right four. You can get the rest of the line by going down 3 from the initial point on five, down left 3.
The y-intercept of the line is (0, -5) and plot the coordinate points (0, -5) and (4, -8) on the graph.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given equation is y+2= -3/4 (x+4).
Graph the line using the slope and y-intercept, or two points.
Slope: -3/4
y-intercept: (0, -5)
Plot the coordinate points (0, -5) and (4, -8)
Hence, plot the coordinate points (0, -5) and (4, -8) on the graph.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ7
Factor each polynomial x^2-9x+10
Show your work
Answers
Answer:
not factorable
Step-by-step explanation:
[tex]x^{2} - 9x +10\\[/tex]
The easiest way to factor is to find two numbers of the "a" value (the coefficient before [tex]x^{2}[/tex]) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:
1 -10 --> 1(-10) gives you -10
1 -1 --> 1(-1) gives you -1
adding these together -10 + (-1) = -11 which does not equal -9.
You could stop here and conclude that this is not factorable by inspection.
Another method: using the quadratic formula to find its roots.
Roots: [tex](\frac{9-\sqrt{41} }{2}, 0)[/tex] and [tex](\frac{9+\sqrt{41}}{2}, 0)[/tex]
In a certain Algebra 2 class of 29 students, 8 of them play basketball and 16 of them play baseball. There are 11 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answers
Answer:
18/29
Step-by-step explanation:
The probability that a student chosen randomly from the class plays basketball or baseball is 18/29
How to determine the probability?The given parameters are:
Students = 29Basketball = 8Baseball = 16Neither = 11The number of students that play basketball or baseball is:
Basketball or Baseball = Students - Neither
This gives
Basketball or Baseball = 29 - 11
Basketball or Baseball = 18
The probabilty is then calculated as:
P = Basketball or Baseball/Students
This gives
P = 18/29
Hence, the probability that a student chosen randomly from the class plays basketball or baseball is 18/29
Read more about probability at:
https://brainly.com/question/251701
Complete the following statement. Write your answer as a decimal or whole number. % of $600 = $120
Answers
Answer: 20%
Step-by-step explanation: 600*0.20 = 120
estimate 1.75 * 12.5
Answers
Answer:
21.875, round as needed.
Step-by-step explanation:
1.75 * 12.5
21.875
You can also round to:
21.88
21.9
22
Just depends on what your teacher is asking
Hellur, I need help with geometry homework....
Answers
Answer:
24
Step-by-step explanation:
all 3 corners of any triangle adds to 180
the big triangle gives you 94 and 41 which equals 135. even though there's a line cutting off the last corner it still counts towards the 180 of the big triangle
180 - 135 = 45
now you know 2 corners of the smaller triangle
111+45 = 156
156+x= 180
x= 24
-6/1 x - 3/5 divided by -0.25
Answers
Answer:
-14.4
Step-by-step explanation:
-6x(-0.6)x(-4)= -14.4
[tex] - \frac{6(5 - 2x)}{5x} [/tex]
i hope its help
plsss help it's urgent
Answers
Answer:
I think the answers are #4.A
#5.B
Find the average rate of change of the function from X1 to X2.
Function
f(x) = -7x + 16
x-Values
X1 = 0, X2 = 3
Answers
Answer:
75-82, in Exercises 75-82, find the average rate of change of the function from x1 to x2. function f(x) = 3x +8 x-values x1=0, x2=3
\frac { 3 ^ { p + 1 } - 3 ^ { p } } { 2 \times 3 ^ { p } } = 1
Answers
Answer:
Given equation:
[tex](3^{p+1} - 3^p) /(2 *3^p) = 1[/tex]Solving for p:
[tex]3^{p+1} - 3^p = 2 *3^p[/tex][tex]3*3^p - 3^p = 2 *3^p[/tex][tex]2 *3^p =2 *3^p[/tex]p - any real number
We can state the initial expression is correct for any value of p.
Answer:
True for all p
Step-by-step explanation:
Given equation:
[tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]
Multiply both sides by [tex]2 \times 3^p[/tex]:
[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]
Add [tex]3^p[/tex] to both sides:
[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]
[tex]\implies 3^{p+1}=3 \times 3^p[/tex]
Rewrite 3 as 3¹:
[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 3^{p+1}=3^{1+p}[/tex]
[tex]\implies 3^{p+1}=3^{p+1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies p+1=p+1[/tex]
Subtract 1 from both sides:
[tex]\implies p+1-1=p+1-1[/tex]
[tex]\implies p=p[/tex]
Therefore as both sides are equal, true for all p.
The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.
Answers
From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;
F = ma
In this case, m = 5kg, a = 6m/s^2 and we want to find F
F = 5 x 6
F = 30N
Therefore, a force of 30N is needed to accelerate a 5kg object at 6m/s^2.
A blank 2-column table with 3 rows. Column 1 is labeled Column A and Column 2 is labeled Column B. A blank graph has label B on the x-axis and label A on the y-axis. Weather data is collected to analyze wind speed according to temperature. Identify the variables as either input or output to label the table and graph. Column A = Column B = Label A = Label B =
Answers
A= temperature column B= wind speed. Label A= wind speed label B= Temperature
Please help I don’t get the question
Answers
Answer:
I need this in essay form......
Phaeton, who has just discovered that is he is the son of the sun god, pays a visit to his father and makes a special request. In this passage consider how the author uses literary elements such as plot and language to reinforce the theme of the dangers of pride.
can somebody please help me with this, also show work so that way i can copy because this is due tmr and i have no clue how to do this at all, thank you so much! (also its 8th grade math)
Answers
27 *100=135*x
2700=135x
Divide both sides by 135
20 =x
Function 1 is defined by following table what function has greater y- intercept?
Answers
Answer:
They both have the same y intercept
Step-by-step explanation:
(1,0)(0,3)
(0,3)(1,-1)
40 Points! I'm counting on you TT
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's find the slope of the line using the points (0 , 4) and (-8 , 0) from the given graph :
Slope (m) :
[tex] \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \dfrac{4 - 0}{0 - ( - 8)} [/tex][tex] \dfrac{4}{8} [/tex][tex] \dfrac{1}{2} [/tex]hence, the correct choice is C
LAM 1 Mod 6 Question 4b-s2.
Answers
Answer:
there is one line of symmetry if you look closely at the shape
PLEASE HELP DUE IN 30 MINUTES!!!
Shai has to bake a cake for a bake sale. The recipe calls for a quart of sugar. How many cups of sugar will Shai need?
A) 1.25 cups
B) 0.75 cups
C) 1.75 cups
D) 0.25 cups
Answers
Answer:
D
Step-by-step explanation: a cup is 4 quarts
138 cups of flour used in 46 dozen brownies. a
Answers
Answer:
whats the question?
When negative five is subtracted from a number the result is 10.
Find the number.
O 15
O -5
O -15
O 5
Answers
.............................
Answer:
D. 5
Step-by-step explanation:
Ok, so the number is represented by n.
n-(-5)=10.
Negative Times Negative makes Positive. The equation is now:
n+5=10
Subtract 5 from both sides.
n=5
Is the triangle isosceles, equilateral, or
neither?
70°
55°
55°
A. isosceles
B. equilateral
C. neither
Answers
Answer:
It is isosceles triangle because its base angles are equal .
plz mark me brainest
Answer: A. isosceles
Step-by-step explanation:
an isosceles triangle is a triangle that has two sides of equal length.
You can read about isosceles triangle more : https://en.wikipedia.org/wiki/Isosceles_triangle
please give me a brainliest answer
Write the equation of the line through
(4, 4) and (2, 2) in point-slope form.
Answers
Answer:
y-4=1x-4
Step-by-step explanation:
put in format : y2-y1=m(x2-x1)
y-4 = 1(x-4)
distribute
y-4=1x-4
what is the explicit rule for the geometric sequence 1/64, 1/16, 1/4, 1
Answers
Answer:
[tex]\frac{1}{\sqrt[n]{64}}[/tex]
Step-by-step explanation:
[tex]\frac{1}{\sqrt[1]{64}} =\frac{1}{64}[/tex]
[tex]\frac{1}{\sqrt[2]{64}} =\frac{1}{16}[/tex]
[tex]\frac{1}{\sqrt[3]{64}} =\frac{1}{4}[/tex]
[tex]\frac{1}{\sqrt[4]{64}} =\frac{1}{1}[/tex]