Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex]2x^4(2x^2 + 3x + 4)[/tex] is [tex]4x^6 + 6x^5 + 8x^4[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The given expression is simplified as:
[tex]2x^4(2x^2 + 3x + 4) = 2x^4 \times 2x^2 + 2x^4 \times 3x + 2x^4 \times 4\\2x^4(2x^2 + 3x + 4) = 4x^6 + 6x^5 + 8x^4[/tex]
Thus,
The product of [tex]2x^4(2x^2 + 3x + 4)[/tex] is [tex]4x^6 + 6x^5 + 8x^4[/tex]
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Answer:
4x^6 + 6x^4 + 8x^4
Step-by-step explanation:
its the only option with a 6 in the 2nd term.
Find the value of y in the solution to the system of equations shown. 3y=18x+6 y=2x+14
Answer:
y=14
Step-by-step explanation:
because I solved it and got 14 ......
The value of y in the solution to the system of equations given is 20.
What is Linear Equations in Two Variables?Linear equations are equations which are in the form of ax + by + c = 0, where a, b, and c are real numbers and also coefficients of both the variables, x and y, must not be equal to zero.
There are infinitely many solutions for a linear equation in two variables.
System of linear equations in two variables consist of two or more equations which are linear in two variables.
System of equations given here are,
3y = 18x + 6 and y = 2x + 14
We are solving this by substitution method.
Substituting y = 2x + 14 in 3y = 18x + 6, we have,
3 (2x + 14) = 18x + 6
Applying distributive property on the left hand side of the equation,
(3 × 2x) + (3 × 14) = 18x + 6
6x + 42 = 18x + 6
42 - 6 = 18x - 6x
36 = 12x
x = 3
Substituting x = 3 in y = 2x + 14,
y = (2 × 3) + 14
y = 20
Hence, the value of y in the solution to the system of linear equations 3y=18x+6 and y=2x+14 is 20.
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Plsss help me I have 10 minutes to answer the question
Answer:
-36
Step-by-step explanation:
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What are the solutions to the following equation?
(x+5)2=36
Question 3 options:
-1 and 11
31 and 41
-41 and -31
-11 and 1
Answer:
We have a problem here, Houston.
Step-by-step explanation:
Is "(x+5)2=36" supposed to be (x+5)^2=36 ?
If so,
x = ± 11
-----------------------
If it is indeed (x+5)2=36
then:
2x + 10 = 36
2x = 26
x = 13
None of the answer options fir either of these two interpretations of the equation provided. Please check the equation.
Answer:
-11 and 1
Step-by-step explanation:
did the test
NEED HELP ASAP!! thank you!
Which best describes the range of the function f(x) = 2/3(6)^xafter it has been reflected over the x-axis?
y=[ ? ]°
Z
48x
Hsshsjaiauayuaaiekossusiaiaiajsbsbd
Answer:
Hi, I think y is equal to 42
peter comapred 2 pencils. The figure below shows the two lengths
3\4 an 5\6
what is the difference in the lengths of the 2 pencils.
If Bob won $1000000 and Sally won $1000000 $673,000 how much money is Sally has more than Bob
What is the factored form of this expression?
x2 + 9x + 16
O (X - 4)(x + 4)
O (x+4)2
O (x + 3)2
The expression cannot be factored.
Answer: The answer is D (4). The expression cannot be factored.
What is the quotient? StartFraction 2 y squared minus 6 y minus 20 Over 4 y 12 EndFraction divided by StartFraction y squared 5 y 6 Over 3 y squared 18 y 27 EndFraction.
Answer:
b on edge or 3(y-5)/2
Step-by-step explanation:
took the test right now
Which situation is best represented by the equation below? m = 7h + 4 Fran makes and sells hats. The selling price for each of her last 7 hats was $4. What is m, the amount of money Fran made Bobby has 7 times as many cowboy hats in his collection as Norm. Norm has 4 more fishing hats in his collection than BobE Cara earns $7 per hour babysitting plus $4 for transportation. What m, the amount of money Cara makes for h hours of b. Seven people contributed to a fundraiser and raised 4 times as much money as was needed, h. How much money, m, did the
Answer:
Cara earns $7 per hour babysitting plus $4 for transportation.
Step-by-step explanation:
When Cara works for 1 hour, she earns 7*1 + 4 = 11 dollars. The value of h increments as Cara babysits longer, but she gains the 4 dollar transportation fee regardless of her workhour.
I need more brainliest I will answer your questions if need. 25 points
Answer:
Why is the energy that results from a roller coaster's position at the top of a hill referred to as potential energy?
Step-by-step explanation:
.
Answer
if x=3 find y
y- x^3+x^2+9
Step-by-step explanation:
lol was i correct im not sure
your answer is correct, dw.
Answer:
you are correct :)
Step-by-step explanation:
-x^2 - 6x + 16 --> reverse the operations...
x^2 + 6x - 16 --> factor
(x + 8)(x - 2) --> hope this helps
:D
ASAP PLSSS ALL MY POINTS Use sigma notation to represent the sum of the first seven terms of the following sequence: 4, 10, 16, …
the summation from n equals 1 to 7 of negative 4 plus 6 times n
the summation from n equals 1 to 7 of 4 plus 6 times n
the summation from n equals 1 to 7 of 2 plus 6 times n
the summation from n equals 1 to 7 of negative 2 plus 6 times n
Answer:
Step-by-step explanation:
Answer:
i really need help on this one too
Step-by-step explanation:
.
Select four different ways of representing functions. How can you tell if a relationship is a function?
Complete the explanation.
Answer:
a function can be represented verbally, algebraically, numerically, and graphically which here would be: A, B, E and D
True or False?
a. If x is a nontrivial solution of Ax = 0, then every entry in x is nonzero.
b. The equation x= x2u + x3v, with x2 and x3 free (and neither u nor v a multiple of the other), describes a plane through the origin.
c. The equation Ax = b is homogeneous if the zero vector is a solution.
d. The effect of adding p to a vector is to move the vector in a direction parallel to p.
In a situation where x is a nontrivial solution, then every entry in x should not be nonzero. Therefore, it's false.
What is a nontrivial solution?A nontrivial solution simply means a system of equation where the determinant of the coefficient is zero. When x is a nontrivial solution of Ax = 0, then at least one entry should be nonzero.
The equation x= x2u + x3v, with x2 and x3 free (and neither u nor v a multiple of the other), describes a plane through the origin. This is true. Since they're free variables, the space span has dimensions and this spans through the origin.
The equation Ax = b is homogeneous if the zero vector is a solution. Since x = 0 is a solution. Therefore, Ax = b. Hence, b = 0.
The effect of adding p to a vector is to move the vector in a direction parallel to p. It should be noted that adding p to a vector moves it in a direction that's parallel.
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Solve the following equations for all values of x. Express your answers in simples a+bi form.
Answer:
Solution
or,X(X-1)=9(X-3)
or,X2-X=9X-18
or,9X+X=18-X2
or,10X=18-X2
I think it will help you.
PLS HELP HURRY !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
no solution
Step-by-step explanation:
-2y-3y+8=8-5y-12
-2-3y=-5y
-5y+8=8-5y-12
inverse operation: add 5y to both side
-5y+8=8-5y-12
+5y +5y
-5y+5y=0, so it cancels out both -5ys
8=8-12
8=-4
there is no value for y to make the equation true, so there is no solution
Help please its for pre-calc homework due in 10 min
If you put the problem on a graph, the graph will show you (2,4)^2 and it'll be in a U-shape.
This probably won't help but let me know. :)
a wall is 15 cm long,0.2m wide and 2m high. how many bricks of size 15cm×8cm×5cm each are required to construct the wall?
Answer:
100 bricks are required to construct the wall.
Step-by-step explanation:
All calculations should be done with unit in centimetres.
volume of the wall = length * width * height
= 15 * 20 * 200
= 60000 cm³
one brick volume = length * width * height
= 15 * 8 * 5
= 600 cm³
So to fill the entire wall with x walls: volume of wall / one brick volume
→ 60000 / 600
→ 100 bricks
Which expression is equivalent to mc014-1?
Need the answer super confusing for me
Answer:
A) True
B) False
C) True
Step-by-step explanation:
i need help finding the answer
Answer:
length of RT = 4
Step-by-step explanation:
triangle RST has been enlarged by 3 as the length of ST is 3x longer than BC
so the length of RT (12) can be divisible by 3 that gives AC the length of 4cm
which image is a translation
Answer:
The second one
Can u answer 25 1/3 - 17 5/6
Answer:
[tex] \boxed{ \sf{7 \frac{1}{2} }}[/tex]
Step-by-step explanation:
convert to fraction form a/b
25 1/3 - 17 5/6
[tex]25 \frac{1}{3} = \frac{25 \times 3 + 1}{3} = \frac{76}{3} [/tex]
[tex]17 \frac{5}{6} = \frac{17 \times 6 + 5}{6} = \frac{107}{6} [/tex]
Now, we have 76/3 - 107/6
→ Solution[tex] \frac{76}{3} - \frac{107}{6} [/tex]
[tex] \frac{76 \times 2}{6} - \frac{107}{6} [/tex]
[tex] \frac{152}{6 } - \frac{107}{6} [/tex]
[tex] \frac{45}{6} [/tex]
simplify
[tex] \purple{ \boxed{ \frac{45}{6} = 7 \frac{3}{6} = 7 \frac{1}{2} }}[/tex]
Please tell me if I’m right or wrong
Answer:
to be honest i think it would be c
Step-by-step explanation:
A company is selecting 6 people to be on a committee. There are 26 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random and each employee will have a different position on the committee
10 3/9- 10 2/5 Im to lazy to do it please help me out.
Answer:
[tex] \boxed{ \ - \frac{3}{45} }[/tex]
Step-by-step explanation:
10 3/9 - 10 2/5
we need to convert mixed fractions to improper fractions
[tex]10 \frac{3}{9} = \frac{10 \times 9 + 3}{9} = \frac{93}{9} [/tex]
[tex]10 \frac{2}{5} = \frac{10 \times 5 + 2}{5} = \frac{52}{5} [/tex]
Now, we have 93/9 - 52/5
We need to equate the denominators, before subtracting them.
[tex] \frac{93}{9} - \frac{52}{5} = \frac{93 \times 5}{45} - \frac{52 \times 9}{45} [/tex]
[tex] \frac{465}{45} - \frac{468}{45} [/tex]
[tex] \frac{ - 3}{45} [/tex]
[tex] \boxed{ - \frac{3}{45} }[/tex]
The result of 10 3/9- 10 2/5 is - 3/45
Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.
Darius’s scores: 96, 54, 120, 87, 123
Barb’s scores: 92, 98, 96, 94, 110
Barb says that she is the winner. Darius says that it is a tie. Who is correct?
- Barb is correct if both the mean and median scores are considered.
- Barb is correct if only the median score is considered.
- Darius is correct if both the mean and median scores are considered.
- Darius is correct if only the median score is considered.
Answer:
D. Darius is correct if only the median score is considered.
Step-by-step explanation:
Answer:
The correct answer is option D: Darius is correct if only the median score is considered.
Step-by-step explanation:
I did the test and got it correct
Hope this helps! Have a nice day!
use multiplcation to solve the proportion. a/40 = 3/10
Answer:
a=12
Step-by-step explanation:
a/40=3/10
10 x 4=40, so
3 x 4=12
a=12
Answer:
[tex]\boxed{\sf{x=12}}[/tex]
Step-by-step explanation:
Isolate the term of a from one side of the equation.
Solution: Multiplication property of equation.
a/40=3/10
First, multiply by 10 from both sides.
[tex]\sf{\dfrac{a}{40}\cdot \:10=\dfrac{3}{10}\cdot \:10}[/tex]
Solve.
a/4=3
Then, multiply by 4 from both sides.
4a/4=3*4
Solve.
3*4=12
a=12
As a result, the correct answer is a=12.
I hope this helps you! Let me know if my answer is wrong or not.