Answer:
[tex]\hookrightarrow \sf x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096[/tex]
solving steps:
[tex]\rightarrow \sf (x + 4)^6[/tex]
[tex]\bold{rewrite \ the \ following}[/tex]
[tex]\rightarrow \sf (x + 4)^2 (x + 4)^2 (x + 4)^2[/tex]
[tex]\bold {formula \ used : \sf (x+a)^2 = (x^2 + 2xa + a^2)}[/tex]
[tex]\rightarrow \sf (x^2 + 8x+16) (x^2 + 8x+16) (x^2 + 8x+16)[/tex]
[tex]\bold{simplify \ by \ removing \ parenthesis}[/tex]
[tex]\rightarrow \sf (x^4 +8x^3 + 16x^2 + 8x^3 +64x^2 + 128x+16x^2+128x+256 ) (x^2 + 8x+16)[/tex]
[tex]\bold{basic \ addition \ of \ integers }[/tex]
[tex]\rightarrow \sf (x^4+16x^3+96x^2+256x+256) (x^2 + 8x+16)[/tex]
[tex]\bold{remove \ parenthesis}[/tex]
[tex]\rightarrow \sf (x^6 + 16x^5 + 96x^4 + 256x^3 + 256x^2 + 8x^6 + 128x^4 + 768x^3 + 2048x^2 + 2048 + 16x^4 + 256x^3 + 1536x^2 + 4096x + 4096)[/tex]
[tex]\bold {final \ answer:}[/tex]
[tex]\rightarrow \sf x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096[/tex]
Teresa invests $200.00. It earns 5% interest annually
Answer:
200 invests and 5% earned
Step-by-step explanation:
200 plus 5% is 210 dollars
Use algebra tiles to find (6x² + 5x + 3) - (4x + 2).
.
Answer:
6x^2-4xdot+5x-2dot+3
Step-by-step explanation:
correct me if im wrong i dont do this work yet
For what values of a are the following expressions true?
| a-5 | = 5-a
what values of a are the following expressions true?
Expression :-|a-5| =5-a
Answer:-Try putting values of ( a )
Greater than 5 Less than 5 Equal to 5First attempt :- Greater than 5picking random number :-
Putting a = 6 :-
[tex] |a-5| =5-a \\ |6-5| =5-6 \\ | 1| = -1 \\ 1 \cancel = ( - 1) [/tex]
so a is not equal to 6
Putting a = 8
[tex]|a-5| =5-a \\ |8 - 5| =5-8 \\ |3| = - 3 \\ 3 \cancel = - 3[/tex]
a is also not equal to 8
so above values we can find a common result that a not equal to value bigger than 5
Second attempt :- Less than 5picking random number
Putting a equal to 1
[tex]|a-5| =5-a \\|1-5| =5-1 \\ | - 4| =4 \\ 4 = 4[/tex]
a can be equal to 1
Putting a equal to -3
[tex]|a-5| =5-a \\| - 3-5| =5-( - 3) \\ | - 8| = 8\\ 8 = 8[/tex]
a can be equal to -3
So we can have a common result that a can be equal to values less than 5
Third attempt :- a equal to 5putting a equal to 5
[tex]|a-5| =5-a \\ |5 - 5| =5-5 \\ |0| =0 \\ 0 = 0[/tex]
So we can say a can be equal to 5
Result :- (a) can be equal to or less than 5what is the point slope form of (2,5) , (4,9)
Answer:
y−5=2⋅(x−2)
Step-By-Step solution
lian has three lines on the board. lines m and n are parallel. lian says that the measure of <2 is 2/3 of the measure <1. What is the measure of <2?
Answer:
Its 3
Step-by-step explanation:
Which inequality is true?
Answer:
B is the answer.
[tex] \frac{1}{3} > 2 \frac{1}{2} [/tex]
is the answer...
The ratio of the width to the length of a rectangle is 3 to 5.
The perimeter of the rectangle is 64 cm.
What are the width and length of the rectangle?
Step-by-step explanation:
let width= 3x and length = 5x
perimeter = 64cm
now perimeter = 2(length+width)
64= 2(3x+5x)
64 = 16x
x = 4
therefore width= 3 X 4 = 12
length = 5 X 4 = 20
Which expression is equivalent to 2(a + 3)? (a + 2)3 3(a + 2), 6a + 2, or 2a + 6
Answer:
2a+6
I'm sure of it!!
trust me
Can some one help me
Answer:
the answer is 21 because 3x7 is 21
write step by step pls
1/2r−3=3(4−3/2r)
Answer:
r = 3
Step-by-step explanation:
[tex]\dfrac{r}{2} - 3 = 3(4 - \dfrac{3r}{2} )[/tex]
The first step to solve for "r" is to simplify the distributive property on the RHS. To simplify the distributive property, we need to multiply the term outside the parenthesis with the terms inside the parenthesis.
[tex]\rightarrow \dfrac{r}{2} - 3 = 12 - \dfrac{9r}{2}[/tex]
Now, add 9r/2 and 3 both sides to isolate the constants and variables.
[tex]\rightarrow \dfrac{r}{2} + \dfrac{9r}{2} = 12 + 3[/tex]
Simplify both sides.
[tex]\rightarrow \dfrac{10r}{2}= 12 + 3[/tex]
[tex]\rightarrow 5r = 15[/tex]
Divide 5 both sides.
[tex]\rightarrow \boxed{r = \frac{15}{5} = 3}[/tex]
The equation 2x2 − 3x + 1 = 0 is in quadratic form. true or false
Answer:
True
Step-by-step explanation:
The equation 2x² - 3x + 1 = 0 is in quadratic form.
Answer:
True.
Step-by-step explanation:
The equation [tex]2x^{2} - 3x + 1 = 0[/tex] is in quadratic form because it meets the quadratic formula: [tex]Ax^{2} + Bx + C = 0[/tex].
plzzzzzzzzzzzz help plzz
Answer:
The zoo was open 362 days and had an average of 272 visitors a day.
Step-by-step explanation:
365-3=362
98,464÷362=272
A company bought 28 desks for each
of its 17 offices. How many desks were
bought altogether?
Answer:
476
Step-by-step explanation:
THAT SHOULD BE 28*17 Wich is 476
Answer:
28 x 17 = 476
Step-by-step explanation:
It's saying it buys 28 desks for each office. Since there's 17 offices you have to add 28 17 times, so basically you multiply 28 by 17 and you get 476 which is the total number of desks bought.
ANSWER : 476 Desks
5. Ms. Martinville wants to order new Sharpies for
the classroom. At Walmart she can buy a package
of 16 Sharpies for $12.49 and on Amazon she can
buy a package of 24 Sharpies for $22.18. Where
should Ms. Martinville purchase her Sharpies in
order to get the best deal?
Order the sides of each triangle from shortest to longest
9514 1404 393
Answer:
9) AB, AC, BC or c, b, a
10) EG, (EF, FG) or f, (e, g)
Step-by-step explanation:
Sides are in the same order as their opposite angles. Generally the angle has an upper-case letter for its name, and the opposite side has the same lower-case letter for its name.
__
9) angle C is 32°, opposite side c, which is also labeled AB
angle B is 68°, opposite side b, which is also labeled AC
angle A is 80°, opposite side a, which is also labeled BC
Shortest to longest, the sides are c, b, a.
__
10) angle F is 50°, opposite side f, which is also labeled EG
The remaining two angles are both 65°, so have no smallest/largest order. Likewise their opposite sides are the same length, so have no shortest/longest order.
angles E and G are opposite sides e and g, also labeled FG and EF, which are the same length
The shortest side is f; sides e and g are longer and are the same length.
A store sells paint sets each paint set costs the same amount during a sale the store reduces the price of each paint set by $1.35 Jenny sends $6.88 on 2 paint sets at the sale price. What was the price of 1 paint set before the sale?
Answer:
$4.79
Step-by-step explanation:
divide $6.88/2
add $1.35 that's it
Money reduction on a paint set during a sale = $1.35
Cost of two paint sets Jenny bought in a sale = $6.88
Given :-
Cost of every paint set is equivalent .
Then :-
Cost of each paint set during the sale :-
[tex] = \frac{6.88}{2} [/tex]
[tex] = $3.44[/tex]
The cost of each painting set during the sale was $3.44 .
Cost of each paint set before the sale :-
[tex] = 3.44 + 1.35[/tex]
[tex] =$4.79[/tex]
Therefore , the cost of each paint set before the sale was = $4.79 .
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
(-2, -9)
explanation:
original coordinates of B: (7, 9)
use the formula: (x, y) ---> (x, -y)
if reflects over x-axis new coordinates: (7, -9)If horizontally shifted there will be change in x axis,
new coordinates (7-9,-9) → (-2, -9)Rashmi bought 2/3 meter of cloth and Madhu bought 2/5 meter of cloth. Who bought more cloth and how much?
Rashmi =4/15
Madhu=4/15
Rashmi=3/10
Madhu=3/10
Answer:
Reshmi bought more cloth by 4/15...
Step-by-step explanation:
1st equalize the denominator of 2/3 and 2/5
lcm of the denominators 3 and 5 is 15
2/3*5/5=10/15
2/5*3/3=6/15
Rashmi bought 10/15 m cloth
madhu bought 6/15 m cloth .
therefore, Rashmi bought more cloth
by how much more?
10/15-6/15 = 10-6/15=4/15
therefore, reshmi bought more cloth by 4/15
can someone answer this? thanks
The bill for the repair of a car was $357. The cost for the parts was $285. The cost of labor was $32 per hour. Use an equation to find out how long it took for the mechanic to repair the car?
Answer:
2.25 hours
Step-by-step explanation:
Hope this helps! sorry was a tad bit late
It took 2 hours and 15 minutes to repair the car.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that,
Total bill for the repair of car = $357
Let's say it took x hour to repair the car
So,
32x will be the labor cost
Now,
Labor cost + cost of parts = total bill
So,
32x + 285 = 357
32x = 72 ⇒ x = 2.25 hour
Now,
0.25 hour in minutes ⇒ 0.25 × 60 = 15 minutes.
Hence "It took 2 hours and 15 minutes to repair the car".
For more about the equation,
https://brainly.com/question/10413253
#SPJ2
1x7x8x4x5x3x4x6x9x8x2x12x4x8x69x6x8x9x5x3xx6x7x4x3x87x0
Answer:
0
Step-by-step explanation:
when anything is multiplied by zero it equals 0
HELP PLEASE! 40 POINTS AND WILL MARK BRAINLIEST.
Suppose you want to find the 40th term of a sequence. Would you rather use a recursive rule or an explicit rule? Explain your reasoning.
Answer:
Explicit rule, because you can find the 40th term directly using the explicit rule. You would need to find the first 39 terms before finding the 40th terms using recursive rule.
hope this helps...
Match each equation to its equivalent equation.
-6x - 2y = 10
2x + 5y = 18
-4x + 3y = 20
12x - 9y = -60
-24x - 8y = 40
4x + 10y = 36
Answer:
-6x - 2y = 10 and -24x - 8y = 40
-4x + 3y = 20 and 12x - 9y = -60
2x + 5y = 18 and 4x + 10y = 36
Step-by-step explanation:
first equation with second row second equation
third equation with second row first equation
second equation with second row third equation
Part I: Triangle ABC is called a special right triangle. What kind of special right triangle
is it (2 points)
Answer:
30-60-90 triangle
Angle BCD = 60
Hypotenuse is 2 times the length of short leg
The long leg is [tex]\sqrt{3}[/tex] times the short leg
BC = 20
Step-by-step explanation:
I think the explanations are in the questions.
You need to memorize the relationships
Counting Cookies: Hannah baked 120 peanut butter chocolate chip cookies. She
wants to put the same number of cookies in each bag. Can she put the following
numbers in each bag: 10,5,9,3, 20, 7. Explain your answer for each number.*
Answer:
10:12, 5:24, 9:13+1/3, 3:40, 20:6, 7:17+1/7
Step-by-step explanation:
You simply divide 120 by each of the numbers.
120/10=12, 120/5=24, 120/9=40/3, 120/3=40, 120/20=6, 120/7=12+1/7
I missed a whole lesson plz explain
Answer:
it would be c or b cause thats the only thing that would make scince
Step-by-step explanation:
billy has $3 bubble gum cost $.30. he bought four pieces how much money does billy have left
Answer: $1.08
Step-by-step explanation:
30cent x 4 = 120 cents. 1 dollar and 20 cents, $3 - $1.20 = $1.08
Answer:
Billy has 1.8 dollars left.
Step-by-step explanation:
So, .30 x 4 is 1.2. I subtracted 1.2 from 3 and got 1.8. I hope it's the right answer and wish you luck on the rest of your work!
Can anyone help me with this question?
Answer:
Penta Trinomial
Step-by-step explanation:
Highest power is 5 (penta)
Highest number of term is 3 (tri)
Answer:
6th degree trinomialStep-by-step explanation:
Given polynomial
4xy⁵ + 2xy - x⁴yIt has 3 terms so is trinomial
It has degrees as
First term = 1 + 5 = 6Second term = 1+1 = 2Third term = 4+1 = 5As the greatest degree is 6, this expression is 6th degree trinomial
Hey i need some help for practice
Find Each Quotient
-72 divided by (-2)=
-72 divided by 2=
72 divided by (-2)=
please let me know
Answer:
hows it feel?
What was the tone of Cross and Martha's letters?
Octavio's cousin, who is a young tech and coding whiz. In the basement of his mother's house, Daniel uses a 3-D printer
Step-by-step explanation:
What was the tone of Cross and Martha's letters?
Octavio's cousin, who is a young tech and coding whiz. In the basement of his mother's house, Daniel uses a 3-D printer
What was the tone of Cross and Martha's letters?
Octavio's cousin, who is a young tech and coding whiz. In the basement of his mother's house, Daniel uses a 3-D printer
Which sequence: an=-2(an-1),a1=4