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
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
Please show ur work
Answers
Answer:
x = 11.2 mi
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}\\(14.4)^{2} = (9)^{2} + b^{2}\\207.36 - 81 = b^{2} \\126.36 = b^{2}\\\sqrt{126.36} = b\\b = 11.2[/tex]
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (14,4)² - (9)²
x² = 207,36 - 81
x² = 126,36
x = 11,2mi✔
70+2e+3e=180° answere me
Answers
Answer:
2e+3e=180-70
5e=110
e=110÷5
e=22
Fill in the missing information
Answers
Answer:
Step-by-step explanation:
1) AB ≅ AD Given
BC ≅ BD
2) Given
3) AC ≅ CA Reflexive property
ΔABC ≅ ΔADC
4) S S S Congruent
5)∠B ≅∠D CPCTC
HELP GUYS!! CAN U EXPLAIN ON HOW TO DO THIS I REALLY DONT UNDERSTAND TYY
Answers
Answer:
If your Simplifying well the answer would be 9/20
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 18 and 40 is 2
Divide both the numerator and denominator by the GCD
18 ÷ 2
40 ÷ 2
Reduced fraction:
9
20
Therefore, 18/40 simplified to lowest terms is 9/20.
A water ballon is launched straight up. The balloons flight is modeled by the function h(t)=16t^2+192t
Answers
Answer:Step by Step Solution
More Icon
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
h*(t)-(16*t^2+192*t)=0
STEP
1
:
Equation at the end of step 1
ht - (24t2 + 192t) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
ht - 16t2 - 192t = t • (h - 16t - 192)
Equation at the end of step
3
:
t • (h - 16t - 192) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.2 Solve : t = 0
Solution is t = 0
Equation of a Straight Line
4.3 Solve h-16t-192 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line h-16t-192 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
Calculate the X-Intercept :
When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000
h-intercept = 192/1 = 192.00000
Calculate the Slope :
Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.125/2.000 = 0.062
Geometric figure: Straight Line
Slope = 0.125/2.000 = 0.062
h-intercept = 192/1 = 192.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
t = 0
Step-by-step explanation:
need help!! I would give you brainliest if it is correct <3
Answers
Answer: No
Step-by-step explanation:
simplify the following expression
Answers
Answer:
x^4/64y^10
Step-by-step explanation:
Answer:
=4
Step-by-step explanation:
823 can be written as
3√82
=3√64
=3√(4)(4)(4)
=4
A spinner has 8 sections: 2 purple, 2 yellow, 3 blue,
and 1 red.
What is the probability of spinning and landing on
a color that is not yellow?
6
3
P(not yellow) = 6
P(not yellow) = 6/8
P(not yellow) = 2/8
Answers
Answer:
p=6/8
Step-by-step explanation:
there are 8 sections total and 6 sections that are not yellow
you have a 6 in 8 chance of landing on a color that isn't yellow/
6/8
hope this helps!
2. What is the value of the pass after 15 rides?
# of Rides Bus Pass Value Rule
0 $100.00
1 $98.25
2 $96.50
3 $96.75
15 ??? $73.75 ??? Is my answer 73.75 right? If not does anyone know the correct answer
!plz help!
Answers
Answer:
im really confused. but its 2,75$ per pass?/ride? sorry i cant help much
Step-by-step explanation:
A baker used 3kg of baking powder every for every 12kg of flour. if he used 180kg of flour for the Christmas season. how many kg of baking powder did he use in all. help now, please
Answers
Answer:
Step-by-step explanation:
12 kg of flour for 3 kg of baking powder
so 1 kg of flour = 3/12 or 1/4 of baking powder
180 kg of flour = [tex]\frac{1}{4}[/tex] × 180 kg of baking powder
= 45 kg of baking powder for 180 kg of flour
please give me a brainliest answer
Step-by-step explanation:
Step-by-step explanation:
12 kg of flour for 3 kg of baking powder
so 1 kg of flour = 3/12 or 1/4 of baking powder
180 kg of flour = 14\frac{1}{4}
4
1
× 180 kg of baking powder
= 45 kg of baking powder for 180 kg of flour
please give me a brainliest answer
Anna's car can go 180 miles on 5 gallons of gas. During a drive last weekend. Ann used 8 gallons of gas. How far did she drive?
Answers
Answer:
Ann drove miles
Step-by-step explanation:
You have to do 180 / 5 = 36 wich is how many miles is in 1 gallon
Then you do 36x8 = 288
Hope this helps !!
Have a blessed day <333
Just divide 180 by 5, which is 36, then multiply it by 8
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
Answers
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :This is question no picture soo iam in step question before.
x² = 3² + 4²
x² = 9 + 16
x² = 25
x = 5yd✔
A. 6
B. 7
C. 12
D. 24
Answers
Answer:
A
Step-by-step explanation:
If you count, the number is 12. Then divide that number by 2. You get 6.
[you divide by 2 because you need to find the average. i rlly don't know how to explain better]
Answer:
The answer is A.
6
Mya says the value of 6 in 0.006 is 1-10 of the value of 6 in 0.6. Is the correct?
Answers
Answer:
no, it is incorrect it is 1-100 the value
Step-by-step explanation:
0.006×10= 0.06
0.006×100=0.6
70 = 19 - 3x
what does x equal?
Answers
Step-by-step explanation:
→ 70 = 19 - 3x
→ - 19 + 70 = -3x
→ 51 = -3x
→ -3x = -51
→ x = -51/3 = -17
→ x = -17
therefore, value of x is -17.
hope this answer helps you dear!
Answer:
[tex]\boxed{\bf x=-17}[/tex]
Step-by-step explanation:
[tex]\bf 70=19-3x[/tex]
[tex]\bf 19-3x=70[/tex]
[tex]\boxed{\bf Subtract \: 19\: from\: both\: sides:}[/tex]
[tex]\bf 19-3x-19=70-19[/tex][tex]\bf -3x=51[/tex][tex]\boxed{\bf Divide \: both\:sides\: by -3:}[/tex]
[tex]\bf \cfrac{-3x}{-3}=\cfrac{51}{-3}[/tex][tex]\bf x=-17[/tex]I need help with a and b!
Answers
Answer: first a it’s left side is shorter while on the other polygoes there left sides longer for the first two
in the third one it goes size wise
Step-by-step explanation:
Find the slope of the line that goes through the given points. (2,2) and (3,2)
Answers
Answer:
0
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 2-2)/(3-2)
= 0/1
= 0
\text{walmart sells 6oz bottle of laundry detergent for 4.80. what is the price per ounce
SHOW ME HOW YOU SOLVED IT!
Answers
Answer:
Wsg luh girl
Step-by-step explanation:
Choose the appropriate condition for the following pairs of triangles to be congruent.
Answers
The graph below shows the solution to an inequality
Which inequality matches this graph?
A. 2y−5 x
C. 2x−5 y
Answers
The inequality that matches the graph shown above is 2x - 5y ≤ 10. This inequality represents all the points on or below the boundary line of the graph. The line passes through the points (0, -2) and (5, 0) and has a slope of 2/5.
To verify this, we can select a point not on the line, like (0, 0), and substitute its coordinates into the inequality. We get: 2(0) - 5(0) ≤ 10, which simplifies to 0 ≤ 10. Since this is true, all the points on or below the line satisfy the inequality.
The given graph shows the shaded region below the line 2x - 5y = 10, and on the line itself.
To find the inequality that matches the graph, we can identify the slope and intercept of the line and write it in slope-intercept form, y = mx + b. The slope is found by dividing the change in y by the change in x between two points on the line.
Taking the two points (0, -2) and (5, 0), we get a slope of (0 - (-2))/(5 - 0) = 2/5.The y-intercept is where the line crosses the y-axis, which is the point (0, -2).
Using this information, we can write the line in slope-intercept form as y = (2/5)x - 2. The inequality that matches the graph is the one that includes all the points on or below this line. Since the line itself is included, we use the less than or equal to sign, giving us the inequality 2x - 5y ≤ 10.
for such more questions on inequality
https://brainly.com/question/30238989
#SPJ8
6.
Find the area of a rectangle with
length 2x - 7 and width 3x +4.
Answers
Answer:
[tex]A=6x^{2} -13x-28[/tex]
Step-by-step explanation:
A=L(W)
A=2x-7(3x+4)
Use distributive property
[tex]A=6x^{2} +8x-21x-28[/tex]
Combine like terms
[tex]A=6x^{2} -13x-28[/tex]
There u go!!
The average height of a population is unknown. A random sample from the population yields a sample mean of x¯=66.3 inches. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.8 inches. Use the Empirical Rule to construct a 95% confidence interval for the true population mean height.
Answers
Answer:
(64.7, 67.9)
Step-by-step explanation:
(66.3-2*08, 66.3+2*0.8)
(66.3-1.6, 66.3+1.6)
(64.7, 67.9)
Given the definitions of f(x)f(x) and g(x)g(x) below, find the value of (f\circ g)(2).(f∘g)(2). f(x)= f(x)= \,\,-5x-11 −5x−11 g(x)= g(x)= \,\,2x^2+2x-5 2x 2 +2x−5
Answers
Kirsty is making a fruit drink for 9 people. How many oranges does she use?
Answers
Answer:
9
Step-by-step explanation:
Directions: Find the specified term of the geometric sequences given the first term and the common ratio.
Answers
Step-by-step explanation:
As you know
[tex] a_{n} = a_{1} \times {r}^{n - 1} [/tex]
1.
[tex]3 \times {3}^{4} = {3}^{5} \\ 3 \times {3}^{6} = {3}^{7} \\ 3 \times {3}^{8} = {3}^{9}[/tex]
2.
[tex]2 \times {2}^{4} = {2}^{5} \\ 2 \times {2}^{6} = {2}^{7} \\ 2 \times {2}^{8} = {2}^{9}[/tex]
3.
[tex] - \frac{1}{2} \times {( - 6)}^{4} = { \frac{ - 1}{2} } \times {6}^{4} \\ - \frac{1}{2} \times {( - 6)}^{6} = { \frac{ - 1}{2} } \times {6}^{6} \\ - \frac{ 1}{2} \times {( - 6)}^{8} = { \frac{ - 1}{2} } \times {6}^{8} [/tex]
Ms. Dirr is selling her car to her sister. The original price of the car was $24,179 and
each year the car decreasing (goes down) by $3000. Write a function rule where C =
value of the car and y = number of years
O C = 3000 - 24179y
O C = 24179 - 3000y
O C = 3000 + 24179y
OC - 24179 + 3000y
Answers
Answer: 24,179 - 3000y
Step-by-step explanation: Each year the car goes down by 3000 since you said it was decreasing, so y represents the year and you eould out it next to the 3000 to represent that 3000 is being decreased every year.
Can y’all help me with this question
Answers
Answer:
I'm 100% sure it's 50.
Step-by-step explanation:
Mark did 2/5 of a job and Alan did 1/3 of the remainder. The fraction of the job left undone
Answers
HELLOPPPPPPPPPPP PLEASEEE GEOMETRY
Answers
Answer:
the answer is low of contrapositive
Solve 4(x−5)=6x. You must SHOW EACH STEP for full credit.
Answers
Answer:
x = − 10
Step-by-step explanation:
Let's solve your equation step-by-step.
4 ( x − 5 ) = 6x
Step 1: Simplify both sides of the equation.
4 ( x − 5 ) = 6x
( 4 ) ( x ) + ( 4 ) ( − 5 ) = 6x ( Distribute )
4x + − 20 = 6x
4x − 20 = 6x
Step 2: Subtract 6x from both sides.
4x − 20 − 6x = 6x − 6x
− 2x − 20 = 0
Step 3: Add 20 to both sides.
− 2x − 20 + 20 = 0 + 20 − 2x = 20
Step 4: Divide both sides by -2.
− 2x / − 2 = 20 / − 2
x = − 10
