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
please help me to solve problems
Answers
Step-by-step explanation:
ajhai ans Pani chaiyo ki sabai ko ans pathau
Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.
a. x+60⁰+30⁰=180⁰
x+90⁰=180⁰
x=180⁰-90⁰
x=90⁰
b. x+3x+40⁰=180⁰
collect like terms
4x+40⁰=180⁰
4x=180⁰-40⁰
4x=140⁰
Divide both sides by 4
x=35⁰
c. x+(x+7)+(x+5)=180⁰
3x+12=180⁰
3x=180⁰-12
3x=168⁰
x=168⁰÷3
x=56⁰
d. 52+x+y=180⁰
keeping in mind, two sides of this triangle are equal...
180⁰-52⁰=128⁰
128⁰÷2=64⁰
x=64⁰
x=64⁰ y=64⁰
e. b+a+90⁰=180⁰
right angled triangle
180⁰-90⁰=90⁰
90⁰÷2=45⁰
b=45⁰
b=45⁰ a=45⁰
f. Angles on a straight line equals 180⁰
180⁰-130⁰=50⁰
x=50⁰
Back to the triangle, in which two are equal,
50⁰+x+y=180⁰
180⁰-50⁰=110⁰
110⁰÷2=55⁰
y=55⁰
y=55⁰ z=55⁰
To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.
-343 as a power of (-7)
Answers
Answer:
[tex]-342^{-7}[/tex]
Step-by-step explanation:
If we represent 343 as a power of (-7)
we get [tex]-342^{-7}[/tex]
the equation will be this
= -347 × -347 × -347 × -347 × -347 × -347 × -347
The diagram shows triangle QRS with side SR on ray ST.
Part A. What is the measure of ∠QRS?
Part B. What is the measure of ∠Q?\
PLEASE HELP WITH ALL SERIOUSNESS AND A PROPER EXPLANATION
Enter the correct answers in the boxes.
Answers
The measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know in the triangle the sum of the two interior angles is equal to the exterior angle.
Angle RQS + Angle RSQ = Angle TRQ
4y + y = 145
5y = 145
y = 29
The measure of angle QRS = 180 - Angle RQS - Angle RSQ
= 180 - 4(29) - 29
Angle QRS = 35 degree
The measure of angle Q = 4y = 4(29) = 116 degree
Thus, the measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.
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Liam is a tyre fitter question
Answers
Answer:
a) 168
b) 3
Step-by-step explanation:
a) 56÷4=14 14×12=168
b) 56÷4=14 56-14=42 42÷14=3
Let's caunt how many min for only one tyre and one van
It will take 56 min /4 = 14 min
So it will take only 14 min for 1 tyre in one van.
Let's solve a
A) 12 tyres to 3 van.
If we will say it will take 14 min for each tyre in one van
So 12 tyres will take 14 min * 12 = 168 min which is equal 2 hours and 48 min .
B) as we said it will take only 14 min for 1 tyre.
So 42/14 =3
So he will install 3 tyres in 42 min
Complete the following statement.
The ratio of adults to children at a family reunion is 16 to 10. If there are 91 people at the family reunion, there are
adults and
children.
Answers
Answer:
56 adults and 35 children
Step-by-step explanation:
sum the parts of the ratio 16 + 10 = 26
Divide 91 by 26 to find one part of the ratio
91/26 = 3.5 ← 1 part of the ratio
16 parts = 16 × 3.5 = 56 ← number of adults
10 parts = 10 × 3.5 = 35 ← number of children
Therefore it 56 adults and 35 children.
To Check the Answer: 56 + 35 = 91
What percent represents the part of the model shaded green. A.60% B.62.5%. C.66.7% D.75%
Answers
Answer:
60%
Step-by-step explanation:
3/5 = 6/10 = 60%
Answer:
A. 60%
Step-by-step explanation:
3/5 =30/50=60/100
Please answer ASAP
The price of a dozen exercise book is 72 dollars find the cost of 18 exercise books
Answers
Answer:
$108Step-by-step explanation:
Dozen = 12
Use the ratio:
12 ⇒ 7218 ⇒ xFind x:
x = 72*18/12 = 108How far did the cargo ship travel in one hour?
a
The ship travels 50 nautical miles in 1 hour.
b
The ship travels 25 nautical miles in 1 hour.
c
The ship travels 75 nautical miles in 1 hour.
d
The ship travels 100 nautical miles in 1 hour.
Answers
Answer:
needs a image not much information working with
ASAP PLS!!
-GIVING OUT BRAINLIEST
Answers
Answer:
The answer is (C)
Step-by-step explanation:
Simplify
2^4 x 2^3/
2^5 x 2^4
leaving your answer in index form.
Answers
Answer:
2^-2
Step-by-step explanation:
When multiplying indices or exponents with the same base number, you can add the powers:
2^4 x 2³ = 2^7 (4 + 3 = 7)
2^5 x 2^4 = 2^9 (5 + 4 = 9)
When dividing indices or exponents with the same base number, you can subtract the powers:
2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)
Jennifer has 84.5 yards of fabric to make. She makes 6 identical curtains and has 19.7 yards of fabric remaining. How many FEET of fabric does Jennifer use per curtain?
Answers
Answer: 118.2
Step-by-step explanation:
Each year the local country club sponsors a tennis tournament. Plays starts with 128 participants. During each round, half of the players are eliminated. How many players remain after five rounds?
Answers
Answer:
128 divided by 2 for 5 times is your answer enjoy my.kiddo
Solve for X then find the measure of angle B
Answers
Answer:
Below in bold.
Step-by-step explanation:
The 2 angles are equal so
8x - 8 = 5x + 25
3x = 33
x = 11.
m < B = 8(11) - 8 = 80 degrees.
yeah, uhm can someone help me with this?
Answers
Answer:
-24
Step-by-step explanation:
[tex]x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24[/tex]
How many solutions does this linear system have?
y = -6x+2
-12x - 2y = -4
one solution: (0,0)
O one solution: (1.4)
O no solution
O infinite number of solutions
Answers
Answer:
in finity
Step-by-step explanation:
Both provide ATP molecules, but only fermentation occurs when oxygen is present.
okokoo
The linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of linear equations are y = -6x+2 and -12x - 2y = -4
To solve this system, we can substitute the expression for y from the first equation into the second equation, as follows.
-12x - 2y = -4
substitute y = -6x + 2 from first equation
-12x - 2(-6x + 2) = -4
Distribute the negative sign
-12x + 12x - 4 = -4
0 = 0
The equation 0 = 0 is a true statement, which means that the system has infinitely many solutions.
Hence, the linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.
To learn more on Equation:
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what is this frfr??????????????????
Answers
Answer:
7
Step-by-step explanation:
7x-6=43
+6 +6
7x=49
/7 /7
x=7
Answer: x=7
is the answer
Three out of nine cats weigh less than 15 pounds.
What is the decimal equivalent for the number of cats weighing less than 15 pounds?
Answers
Answer:
0.333...
Step-by-step explanation:
3 out of 9 can be written as 3/9 which reduces to 1/3.
1/3 = 0.333...
Only answer please please
Answers
Answer: D
Step-by-step explanation:
Answer:$22.50
Step-by-step explanation:
The three friends already paid the entrance fee. The question asks how much MORE will they pay for 5 MORE rides (8-3 rides). Since tickets are $1.50 each, and we have 3 people:
($1.50/ticket)*(5 tickets/person)*(3 persons) = $22.50 more.
[Note how the units cancel, leaving just $]
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
Its A
Step-by-step explanation:
took the test a while ago
Anyone know these answers for math??
Answers
Answer:
7) No
8) Yes
Step-by-step explanation:
7) 15 + 2y = -12 - 4y when y = -0.5
15 + (2*-0.5) = -12 - (4*-0.5)
15 + -1 = -12 - (-2)
15 - 1 = -12 + 2
14 = -10
The numbers are different on both sides so -0.5 is not a solution
8) 5 - 2( 3x + 5 ) = 3 - 10x when x = 2
5 - 2( (3*2) + 5 ) = 3 - (10*2)
5 - 2( 6 + 5 ) = 3 - 20
5 - 2*11 = 3 - 20
5 - 22 = 3 - 20
-17 = -17
The numbers are similar on both sides so 2 is a solution
FIND THE FACTORS OF THE FOLLOWING POLYNOMIAL 3y²-2y-1
Answers
Answer:
y
[tex] y2 - 2y - 3[/tex]
[tex](y - 1)(y + 3) [/tex]
[tex](3y - 1)(3y + 3)[/tex]
Step-by-step explanation:
you multiple the 3 with the 1
then factor
then divide by 3 again but the denominator goes in front of the y.
guys pls help me!!!!!!
Answers
Answer:
X = 126
Step-by-step explanation:
180 - 54 = 126
54+x=180
A game spinner has 8 sections, 3 red, 1 blue, 2 yellow, and 2 green. What is the probability that you will spin a yellow?
Answers
Answer:
1/4 Percent
Step-by-step explanation:
add all them up and youll get 8 the see the yellow takes up 1/4 percent of the numbers.
What’s the perimeter of 4 feet long and 4 feet wide
Answers
4 times 4 so your awnser is 12
Hope that helps :)
Answer:
16
Step-by-step explanation:
4+4+4+4
Wanda purchased some gifts for her kids and husband online. She bought a doll for $14.59, 2 games for $10.95 each, and 2 movies for $9.99 each. The web site had a promotional offer of $10 off and no shipping fees for any purchase totaling at least $40. Wanda was charged 7.25% tax on her total purchase. How much did Wanda pay for her online purchase?
Answers
Answer:
50.37
Step-by-step explanation:
I NEED HELPPP WHEN THESE!!! please can someone help
Answers
Answer:
a: 36
b: 10
c: 3.2
d: a
Step-by-step explanation:
Answer:
A = 36
B = 10
C = 3.2
D = a
Step-by-step explanation:
The square roots and power of 2s zero each other out.
PLS HELP WILL MARK BRAINLIEST!
Answers
More than means addition.
C is the correct option.
= (2x + 4) + 9 - 4y + 3x
= 2x + 4 + 9 - 4y + 3x
= 5x + 13 - 4y
= 5x - 4y + 13
Answer:
5x-4y+13 (c)
Step-by-step explanation:
9-(4y-3x)+(2x+4)
9-4y+3x+2x+4
3x+2x-4y+9+4
5x-4y+13
Pablo owes his sister $9. His sister Nina owes their mother three times that amount. What number on the number line represents Nina’s debt?
Answers
Answer:
Step-by-step explanation:
Nina's debt = 3 * 9 = $ 27
Debt is represented using negative sign.This represents (-27) on the number line.
Answer:(-27)
Step-by-step explanation:
i got it right on edge 2022
Write a function to represent the point (x, y) rotated 90° counterclockwise about the origin.
Answers
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).
R(x, y )= (- y, x )
Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
Learn more about Coordinates:
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Algebra 2 - Standard form of a quadratic function
1. A field goal kicker discussed his performance with this coach. Based on the coach’s data, the kicker usually kicks the ball so it reaches a maximum height of 50 yards
after it has traveled 25 yards down the field. What is the equation, in standard form, of the kick? Round your answer to the nearest hundredth
2. If the goal posts are 10 yards high, what is the minimum and maximum distance that his kick will make it over the goalpost? Round your answer to the nearest hundredth
Answers
Using quadratic function concepts, it is found that:
1) The equation is [tex]y = -0.08x^2 + 4x[/tex]
2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A quadratic equation has the following format:
[tex]y = ax^2 + bx + c[/tex]
In this problem:
The ball was kicked from the ground, thus [tex]y(0) = 0[/tex], which means that c = 0.Item 1:
The vertex is: [tex]V(x_v,y_v)[/tex], in which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
In this problem, it is (25,50). Thus:
[tex]-\frac{b}{2a} = 25[/tex]
[tex]-b = 50a[/tex]
[tex]b = -50a[/tex]
[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]
[tex]-b^2 = 200a[/tex]
[tex]-(50a)^2 = 200a[/tex]
[tex]-2500a^2 - 200a = 0[/tex]
[tex]200a(-12.5a - 1) = 0[/tex]
Then, as [tex]a \neq 0[/tex]
[tex]a = -\frac{1}{12.5} = -0.08[/tex]
[tex]b = -50a = -50(-0.08) = 4[/tex]
Thus, the equation, in standard form, is:
[tex]y = -0.08x^2 + 4x[/tex]
Item 2:
The distances are the values of x for which:
[tex]y = 10[/tex]
Then
[tex]-0.08x^2 + 4x = 10[/tex]
[tex]-0.08x^2 + 4x - 10 = 0[/tex]
Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:
[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]
[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]
[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]
The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A similar problem is given at https://brainly.com/question/24713268