Given:
The expression is
[tex]x^3(2x-6)+x^2(2x-6)[/tex]
To find:
The factors of the given expression.
Solution:
We have,
[tex]x^3(2x-6)+x^2(2x-6)[/tex]
First taking [tex](2x-6)[/tex] common, the given expression can be written as
[tex]=(2x-6)(x^3+x^2)[/tex]
Taking [tex]x^2[/tex] common from [tex](x^3+x^2)[/tex], we get
[tex]=x^2(2x-6)(x+1)[/tex]
Therefore, the factors of the given expression are [tex]x^2(2x-6)(x+1)[/tex].
You purchase 3 action figures per week. You have 27 action figures, which is 60% of the total number of action figures you need to complete your collection. How many weeks until your collection is complete?
Answer:
27/.6=45 total in collection
45-27=18
18/3 per week=6 weeks
Step-by-step explanation:
The number of weeks until your collection is complete should be 6 weeks.
Calculation of the number of weeks:Since You purchase 3 action figures per week. You have 27 action figures, which is 60% of the total number of action
So here total collection should be
[tex]27\div 0.60[/tex] = 45
Now the number of weeks should be
[tex]= (45 - 27) \div 3[/tex]
= 6
hence, The number of weeks until your collection is complete should be 6 weeks.
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Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Sı.
. CBFG is a rectangle of area S2.
• ADEB is a right trapezoid of area S3.
1) Express S1, S2 and S3 in terms of x.
2) Let S = S1 + S2 -S3.
Answer:
1) S1 = 4·x² - 12·x + 9
S2 = 12·x² - 26·x + 12
S3 = 6·x² - 5·x - 6
2) S = 10·x² - 33·x + 27
Step-by-step explanation:
The length x in cm > 1.5
Segment AB = 2·x - 3, segment BC = 4·x - 6, segment AD = 2·x + 3 and segment BE = 4·x + 1
1) a) The area of the right triangle ABC = S1 = 1/2 × Base × Height
The base of the triangle ABC = Segment BC = 4·x - 6
The height of the triangle ABC = Segment AB = 2·x - 3
Therefore, The area of the triangle ABC = S1 = 1/2 × (4·x - 6) × (2·x - 3) = 1/2 × (8·x² - 12·x - 12·x + 18) = 4·x² - 12·x + 9
S1 = 4·x² - 12·x + 9
b) The area of the rectangle CBFG = S2 = Base × Height
The base of the rectangle CBFG = BC = 4·x - 6
The height of the rectangle CBFG = BF = 3·x - 2
The area of the rectangle CBFG = S2 =(4·x - 6) × (3·x - 2) = 12·x² - 8·x - 18·x + 12
The area of the rectangle CBFG = S2 = 12·x² - 26·x + 12
S2 = 12·x² - 26·x + 12
c) The area of the trapezoid ADEB = S3 = 1/2 × (Long side + Short side) × The height of the trapezoid ADEB
The long side of the trapezoid ADEB = BE = 4·x + 1
The short side of the trapezoid ADEB = AD = 2·x + 3
The height of the trapezoid ADEB = AB = 2·x - 3
The area of the trapezoid ADEB = S3 = 1/2 × (4·x + 1 + 2·x + 3) × (2·x - 3) = 6·x² - 9·x + 4·x - 6
∴ The area of the trapezoid ADEB = S3 = 6·x² - 5·x - 6
S3 = 6·x² - 5·x - 6
2) S = S1 + S2 - S3 = 4·x² - 12·x + 9 + 12·x² - 26·x + 12 - (6·x² - 5·x - 6) = 10·x² - 33·x + 27
If a1=2 and an=2an-1 find the first 5 sequences
Answer:
The first 5 terms of the sequence are 2, 4, 8, 16 and 32.
Step-by-step explanation:
Given:
[tex]a_{1}[/tex] = 2
[tex]a_{n}[/tex] = 2[tex]a_{n-1}[/tex] -----------------(i)
To get the first 5 terms of the sequence, substitute in turn, n = 1, 2, 3, 4, 5 into equation (i).
The first term (when n = 1) has been given as:
[tex]a_{1}[/tex] = 2
The second term (when n = 2) is given as:
[tex]a_{2}[/tex] = 2[tex]a_{2-1}[/tex]
[tex]a_{2}[/tex] = 2[tex]a_{1}[/tex] (but [tex]a_{1}[/tex] = 2 )
=> [tex]a_{2}[/tex] = 2(2)
=> [tex]a_{2}[/tex] = 4
The third term (when n = 3) is given as:
[tex]a_{3}[/tex] = 2[tex]a_{3-1}[/tex]
[tex]a_{3}[/tex] = 2[tex]a_{2}[/tex] (but [tex]a_{2}[/tex] = 4 )
=> [tex]a_{3}[/tex] = 2(4)
=> [tex]a_{3}[/tex] = 8
The fourth term (when n = 4) is given as:
[tex]a_{4}[/tex] = 2[tex]a_{4-1}[/tex]
[tex]a_{4}[/tex] = 2[tex]a_{3}[/tex] (but [tex]a_{3}[/tex] = 8 )
=> [tex]a_{4}[/tex] = 2(8)
=> [tex]a_{4}[/tex] = 16
The fifth term (when n = 5) is given as:
[tex]a_{5}[/tex] = 2[tex]a_{5-1}[/tex]
[tex]a_{5}[/tex] = 2[tex]a_{4}[/tex] (but [tex]a_{4}[/tex] = 16 )
=> [tex]a_{5}[/tex] = 2(16)
=> [tex]a_{5}[/tex] = 32
Therefore, the first 5 terms of the sequence are 2, 4, 8, 16 and 32.
Different observers reporting different conclusions when watching the same event may indicate unreliability in what type of data collection
Answer:
Personal observation.
Step-by-step explanation:
Worthy of note is to say that, it's is practically impossible to have a line of different people retell what they heard, saw or experienced in the same way. Because of the fact that human being differs, there's always a difference in the retelling of the story eventually. Everyone seems to retell the story in a manner they can relate to, in a manner of what they understand, and that's given rise to unreliability in personal observation. Not that they're wrong, nor that one is right than the other, but that they're just not reliable.
PLEASE HELP!! IM BEING TIMED!!!
Solve for X
Options: 6.5
14
10
19.25
Answer:
x = 10
Step-by-step explanation:
x = 10
Use the figure below to Find midsegment please help
Answer:
38 units.
Step-by-step explanation:
4x + 6 = [tex]\frac{1}{2}(4x + 44)[/tex] {midpoint theorem}
4x + 6 = [tex]\frac{1}{2}*4x + \frac{1}{2}*44[/tex]
4x + 6 = 2x + 22
4x -2x + 6 = 22
2x + 6 = 22
2x = 22 -6
2x = 16
x = 16/2
x = 8
Length of midsegment = 4x + 6 = 4*8 + 6
= 32 + 6
= 38
(a-b)-(4a+3c)-(c-2a) full process please
Answer:
-a - b - 4c
Step-by-step explanation:
(a - b) - (4a + 3c) - (c - 2a) = a - b - 4a - 3c - c + 2a
= a - 4a + 2a - b - 3c - c {Combine like terms}
= -a - b - 4c
WHOEVER ANSWERS FIRST GETS BRAINLIEST PLSSSSS HELP MEH
Cami drank 7¼ liters of water Monday, 5½ liters of water on
Tuesday, 9¾ liters of water on Wednesday, and 6¼ of water on
Thursday. How much water did Cami drink during that four day span?
Answer:
29
Step-by-step explanation:
7 1/4 + 9 3/4 = 17
6 1/4 + 5 1/2 = 12
17 + 12 = 29
Answer:
She drank 28,75 liters.
Ms. Blankenship had $80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick costs $1.40, and each box of crayons costs $0.59. How much money did Ms. Blankenship have left after these purchases?
Answer:
$16.32
Step-by-step explanation:
First you need to find how much each thing is going to cost.
So for 32 glue sticks, it will cost $44.80 because you multiply 32 by 1.40.
Next you need to find the cost of thebox of crayons, which is $18.88 because you multiply 32 by 0.59.
Then you add those two totals together and you get 63.68.
Lastly you subtract that from 80 to see how much money Ms. Blankenship has leftover which is $16.32.
Hope this helps. :)
Find the zeros
f(x)=(x+3)( x-2)
g(x)=(2x-3)(x+4)
h(x)=(-2x+4)(x+1)
P(x)=3(x+3)(2x-1)
Answer:10
Step-by-step explanation:
WILL GIVE BRAINLIEST
what is the end behaivor of function h options for both are [negative infinity], [positive infinity], or [a constant]
EDIT : NEGATIVE AND NEGATIVE IS CORRECT FOR PLATO USERS <3
Answer:
. Negative infinity
. Negative infinity
[tex] \sqrt{17.3} [/tex]
Find the answer to /17.3 giving your answer correct
to 1 decimal place.
Answer:
[tex]\sqrt{17.3}[/tex] = 4.159..... so approx 4.2
Step-by-step explanation:
At the movie theatre, child admission is $5.10 and adult admission is $8.80. On Saturday, 157 tickets were sold for a total sales of $1144.80. How many child tickets were sold that day?
Answer:
64 child tickets
Step-by-step explanation:
Let's set this up a system of equations. Number child tickets is c and adults are a.
5.1c+8.8a=1144.8
c+a=157
We can now solve by elimination. Let's multiply the second equation by -8.8 so that we are left with the child tickets.
-8.8c-8.8a= -1,381.6
We combine the two equations.
-3.7c=-236.8
Divide both sides by -3.7
c=64
Have a wonderful day! :D
Find the perimeter and area of the figure shown.
Answer:
perimeter = 18.81 units
area = 15 unit²
HELPP ‼️‼️‼️ THIS IS DUE LIKE IN A MIN
Answer:
1, -2
Step-by-step explanation:
The x axis is 1 to the right, and the y axis is 2 down.
The word "less than" represent what operation?
Answer:
The term 'less than' is used to indicate the relationship between two values.The term 'less than' symbolically represented as '<'.Step-by-step explanation:
The term 'less than' is used to indicate the relationship between two values.It expresses that one value will be lesser than the other.
The term 'less than' symbolically represented as '<'.
We can implement certain operations like comparing values, heights, and numbers.
For example, there are 3 pencils in one bag A, and 8 pencils in bag B.
When we compare the two, we can easily observe that bag A has fewer pencils than bag B.
Thus,
Pencils in Bag A < Pencils in Bag A
3 < 8
Can someone pleaseeeeeeeeeee solve these for me
Answer:
16. (See the attachment)
Step-by-step explanation:
None
What is equivalent expression to 2a
Answer:
2a
Step-by-step explanation:
up at the top is the answer
What is the product?
Two-thirds times 12.33
4.11
8.22
24.66
36.99
Answer:
[tex]\frac{2}{3} * 12.33=8.22[/tex]
Step-by-step explanation:
Given
Two-thirds times 12.33
Required
Solve
Two-thirds means [tex]\frac{2}{3}[/tex]
Mathematically, Two-thirds times 12.33 implies
[tex]\frac{2}{3} * 12.33[/tex]
Solving further
[tex]\frac{2 * 12.33}{3}[/tex]
[tex]\frac{24.66}{3}[/tex]
[tex]8.22[/tex]
Hence:
[tex]\frac{2}{3} * 12.33=8.22[/tex]
Answer:
8.22 is your right answer! The person above me has it down cold! You should mark him brainliest! :)
Step-by-step explanation:
1. 2y = 2x - 2
2. x+y=9
Can someone please help me
Answer:
it's just asking you to rearrange it into y=mx+c form
2y=2x-2
y=x-1
x+y=9
y = -x+9
Type the correct answer in the box.
Simplify the given expression into the form , where a and b are rational numbers.
2(-36-3i)+5(+2i)12-2i)
Answer:
[tex]\huge\boxed{-8+8i}[/tex]
Step-by-step explanation:
[tex]2(-36-3i)+(5+2i)(12-2i)\\\\\text{use the distributive property and FOIL}\\\\=(2)(-36)+(2)(-3i)+(5)(12)+(5)(-2i)+(2i)(12)+(2i)(-2i)\\\\=-72-6i+60-10i+24i-4i^2\\\\i=\sqrt{-1}\to i^2=-1\\\\=-72-6i+60-10i+24i-4(-1)=-72-6i+60-10i+24i+4\\\\=(-72+60+4)+(-6-10+24)=-8+8i[/tex]
The expression in the form of a + ib is
-88 + 8i
where a = -88 and b = 8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2(-36 - 3i) + (5 + 2i)(12 - 2i)
Remove the parenthesis.
-72 - 6i + 60 - 10i + 24i + 4
Add like terms.
-88 + 8i
This is in the form of (a + ib).
Where a = -88 and b = 8
Thus,
-88 + 8i is our final expression.
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What is the measure of an interior angle of a regular 99-gon?
Answer:
17460°
I hope it will be useful.
please find what number x is
Step-by-step explanation:
Hey there!
Given;
The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.
Now, taking reference angle as angle 41°. We get;
Perpendicular= 26
Base = X
and Reference angle = 41°.
We know that the ratio of tan is p/b. So, let's use this ratio.
[tex] \tan(41°) = \frac{26}{x} [/tex]
[tex]0.869 \times x = 26[/tex]
[tex]x = \frac{26}{0.869} [/tex]
Therefore, The value of x is 29.90.
Hope it helps...
Drag a description to match each equation
Answer:
welp umm no one can answer lol
Step-by-step explanation:
A cube has a surface area of 600 square meters. What is its volume?
A.600 m³
B.300 m³
C.100 m³
D.1000 m³
Answer: D, 1000 m^3.
Step-by-step explanation: We can find the volume by breaking down the surface area.
The formula for the surface area of a cube is 6*x^2 with x being the side length and 6 being the number of sides. Thus we can form the equation as follows:
600 = 6*x^2 - original equation
x^2 = 100 - divide both sides by 6
x = 10 - square root both sides
Thus, the side length is 10.
We can find the volume with the formula l*w*h or, in this case, x^3.
We know that x = 10, so x^3 must be 1000.
Thus, the answer is D, 1000 m^3.
Answer:
give the other guy brainliest please
Step-by-step explanation:
and yes it is 1000
Brad places a marker on the ground 10 ft. away from the base of a tree at a botanical garden. He walks back towards the tree until he is standing 4 ft. away from the marker, and he is 6 ft. tall. Assuming that the top of Brad's head, the top of the tree, and the marker form two simliar triangles, how tall is the tree
Answer:
15ft
Step-by-step explanation:
Calculation for how tall is the tree
First step Let the proportion be x/10ft = 6ft /4ft
Second step is to cross-multiply by 4x
4x =10ft*6ft
4x = 60
Third step is to divide both sides by 4
4x = 60
4x/4=60/4
x=15 ft
Therefore the tree will be 15ft tall
Solve for x: 2x + 8 = 4x - 10
Answer:
x = 9
Step-by-step explanation:
2x + 8 = 4x - 10 Given
2x + 8 - 2x = 4x - 10 - 2x Subtraction property of equality
8 = 2x - 10
8 + 10 = 2x - 10 + 10 Addition property of equality
18 = 2x
18 ÷ 2 = 2x ÷ 2 Division property of equality
9 = x Answer
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Solution of the given equation 2x+8=4x-10 is x=9.
Solution of an equation are the values to the unknown variables that makes the equality in the equation true
Given equation is :
2x+8=4x-10, consider it as equation (1)
To solve this equation firstly, we isolate the terms which contain x in the LHS and the constant terms in RHS.
Then, the equation will become:
2x-4x = -10-8
Solving the LHS and RHS:
-2x = -18
Divide both the sides by -2, we get:
x = -18/(-2)
x = 9
That means x=9 satisfies the given equation.
Hence, x=9 is the solution of the given equation.
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What is the slope of the line in the graph?
Slope = ______
Answer:
1/1 or 1
Step-by-step explanation:
Answer:
1 or 1/1
Step-by-step explanation:
Which expression is equivalent to (4x^3)(2x)^-4
1/4x
4/x
8/x
128/x
Of course ima do 100 points, but sadly that means you only get 50 for answering.
Answer:
1/4x
4/x
128/x
Step-by-step explanation:
Brainliest pls Hit the thank you button
Help? I'm in Algebra and I'm the most unintelligent person that you can know and please comprehend that
9515 1404 393
Answer:
2×5×11 = 110
Step-by-step explanation:
The factors are separated by the × (multiplication) sign. Common factors are numbers that are factors of both products.
It can be useful to list the factors in order of size, for easier comparison.
1st product:
2 × 3² × 5² × 11 × 17
2nd product:
2 × 5 × 7 × 11² × 13²
Ignoring exponents (for the moment), the numbers that appear in both products are 2, 5, 11. (I've highlighted them so you can see them more easily.)
Now, we consider the exponents. We want to determine the lowest exponent of each of these factors.
2 has the same exponent in both products: 1
5 has exponents of 2 and 1. The least of these is 1.
11 has exponents of 1 and 2. The least of these is 1.
So, the greatest common factor (GCF) is ...
2¹ × 5¹ × 11¹ = 2×5×11 = 110 . . . . greatest common factor
(Comment on answer format: the given numbers are shown as a product of factors. It is not clear whether the desired answer format should match, or should have the value multiplied out. We have shown both ways.)
_____
Check
If we factor out the "greatest common factor," the given products can be written as ...
(2×5×11) × (3² × 5 × 17)
(2×5×11) × (7 × 11 × 13²)
You will notice that the right factors of each of these products have nothing in common. So, we have found the greatest common factor.