By the binomial theorem,
(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴
(1 + 2x)³ = 1 + 6x + 12x² + 8x³
In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying
• x⁴ and 1 to get x⁴;
• 4x³ and 6x to get 24x⁴;
• 6x² and 12x² to get 72x⁴; and
• 4x and 8x³ to get 32x⁴.
Add these up:
x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴
50 points! PLEASE HELP WITH THIS! Show how you got the answers!!! WIll mark as brainliest!!! DONT ANSWER IF YOU DONT KNOW IT!!
Answer:
8. 9.1
9. 12.2
Step-by-step explanation:
8. let x represent the missing side:
Using pythagoras theorem;
13.3² = x² + 9.7²
x² = 13.3² - 9.7²
x² = 82.8 taking the square root of both sides;
x = 9.1
9. let y represent the missing side:
Using pythagoras theorem;
y² = 10² + 7²
y² = 149 taking the square root of both sides;
y = 12.2
I’m doing a percent equation I need help please here’s the question. Blank percent of 20 = 14
Answer:
x = 70
Step-by-step explanation:
x% 20 = 14
x / 100 * 20 = 14
x / 5 = 14
x = 14 * 5
What is the factored form of the expression 9x^2- 24x + 16?
O (3x – 4)^2
O (4x + 3)^2
O (3x + 4)^2
O (4x – 3)^2
Step-by-step explanation:
Rewrite 9x2 as (3x)2
.
(3x)2+24x+16
Rewrite 16
as 42
.
(3x)2+24x+42
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
24x=2⋅(3x)⋅4
Rewrite the polynomial.
(3x)2+2⋅(3x)⋅4+42
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2
, where a=3x and b=4
.
(3x+4)2
*will give brainliest*
While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is (no solution, one solution, infinite solutions).
If
x
=
5
and
y
=
4
, evaluate the following expression:
3
x
²
+
3
x
y
+
y
²
Step-by-step explanation:
3x²+3xy+y²
3×5²+3×5×4+4²
3×25+60+16
75+60+16
151
hope it help u
can u show horozontally
I need help as soon as possible thank you!
Answer:
15
Step-by-step explanation:
the answer for:
Consider the quadratic equation x^2 - 6x - 16 = 0.
A. Solve the equation, and discuss how the type of roots affects the appearance of the graph of the function y = x^2 - 6x - 16.
B. What is the vertex of the graph of x^2 - 6x - 16 = 0?
C. What is the equation of the axis of symmetry?
D. Use this information to draw a rough sketch of the graph of the function.
Answer:
A. Solution=(x-8)(x+2),Zeros are 8,-2
The integer coefficient of x² is >1 and so the graph which is a parabola,curves downward and opens upward
B. The vertex or turning point is the minimum point =-b/2a=-(-6)/2(1)=3
f(3)=(3)²-6(3)-16=-25
the vertex occurs at y=-25
C. Equation of the axis of symmetry =-b/2a
which is x=3
What is the upper bound of the function f(x)=4x^4-25x^2-5x-13?
9514 1404 393
Answer:
DNE
Step-by-step explanation:
An even-degree polynomial with a positive leading coefficient has no upper bound. The upper bound does not exist (DNE).
Which of the following best describes how the y values are changing over each interval? x y 1 20 2 40 3 80 4 160 5 320 They are increasing by 20 each time. They are increasing by 40 each time. They are being multiplied by 2 each time. They are being multiplied by 4 each time.
Answer:
They are being multiplied by 2 each time.
Step-by-step explanation:
The y values are increasing by the multiplication of 2.
What is an sequence ?"Sequence and series is one of the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements. An arithmetic progression is one of the common examples of sequence and series.
In short, a sequence is a list of items/objects which have been arranged in a sequential way.
A series can be highly generalized as the sum of all the terms in a sequence. However, there has to be a definite relationship between all the terms of the sequence."
The given sequence is 20, 40, 80, 160, 320
So it is clear that the each term of the sequence is being multiplied by 2. Hence, C is the correct option.
To know more about sequence here
https://brainly.com/question/21961097
#SPJ3
Help me out guysss I’ll give u a starrrrr<3!!!
Answer:
1. 20
2. 16
3. 50
4. 0
5. 12
6. -12
7. 45
8. 99
9. 54
10. 49
You're suppose to do the opposite of each problem. So since it's division, you would multiple. (Example: x/4=2 (4 x 2=8) (x=8) (8/4=2<---- answer proven)
Plzz help with this mayhs question
Answer:
1::5
Step-by-step explanation:
Assume that it is equally likely for a child to be born a boy or a girl and that the Lin family is planning on having 2 children. How many elements are
there in the samples space for the genders of the two children?
Answer: It depends on if the girl genes are dominant or if the boy genes are recessive. If the girl genes are more dominant then Lin is probably going to have more girls than boys.
Step-by-step explanation: Listen I haven't gotten the question yet so I don't know the answer
r = x^2/y work out the value of r
Answer:
r=244745.8 (approximately)
Step-by-step explanation:
r=x²/y
ry-x²=0
r(59000)-(380000)²=0
r=380000²/59000
r=144400000/59
r=244745.8 (approximately)
What is 52 percent of 210?
Answer:
109.2
Step-by-step explanation:
Answer:
109.2
Step-by-step explanation:
(Weird name)
Graph the equation 4x+8y=24
Answer:
The slope would be -1/2 with a y-intercept of (0, 3).
I hope this helped you find the answer to your problem.
WILL GIVE BRAILLEST IF YOU HELP ME!
Answer:
3 centimeters per minute so solving the equation 15 divided by 4 for the y value equal to 30
Step-by-step explanation:
BRAINLIEST PLEASE
! what is the domain of the function graphed?
Answer:
Domain: (-∞, ∞)
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from negative infinity to infinity:
(-∞, ∞)
50 points
Which statement best describes the reason the Hebrew people left Egypt?
The Hebrew people were fleeing Egyptian slavery.
The Hebrew people were forced to leave by the pharaoh.
The Hebrew people were seeking more land and resources.
The Hebrew people were invited back to Canaan to live freely.
Answer:
Step-by-step explanation: The Hebrew people were seeking more land and resources.
Answer:
The Hebrew people were seeking more land and recources
Step-by-step explanation:
is the answer 117? or am i wrong
Answer:
Correct
Step-by-step explanation:
You do the equation the same as you would a rectangle.
9 * 13 = 117
Answer:
well you need to do this,(2 times 9)+(2 times 13) =44
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
42
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
The answer is 9 I'm pretty sure
The perimeter of the picture is
36 inches. What is the height of
the picture?
Х
8 inches
Answer:
x = 10 inches
Step-by-step explanation:
P = 2 x (L + W)
36 inches = 2 x (8 + W)
36 = 16 + 2W
2W = 20
W = 10 inches
Can someone please help me, i've just been sitting here trying to figure this out. please help me
Answer:
A) y=0.45x + 2.9
B) the plant grows 0,45 inches per day
C) the height and the number of days are highly related
D) 5.55
Step-by-step explanation:
Am in a rush sorry lol don’t have time to explain
PLEASE HELP. SOON. I really need help i’m struggling a lot lol
Answer: A
Step-by-step explanation: trust me bro
Geometry...Please help as soon as possible please and Thank you!!!
Answer:
Step-by-step explanation:
Statment1. BD bisects ∠ABC
Reason1. Given
Statment 2. ∠ABD≅∠DBC (A)
Reason2. Definition of angle bisector
Statment 3. BD≅BD (S)
Reason3. Reflexive propriety
Statement 4. ∠BDA≅∠BDC (A)
Reason 4. Given
Statement 5 ΔABD≅ΔCDB
Reason 5. ASA theorem of congruency
Help plzzzzzzzzzzzzzz
Answer:
side HA and side AT
Step-by-step explanation:
What is the slope of the linear function represented in
the table?
Answer: 1/7
Step-by-step explanation: The points create a posotive line so the answer has to be posotive. You then have to look at the rise over run. (0,1) is 1 unit higher than (-7,0) and the run is the ditance between the 2 x exvalues. 7. Rise/run = 1/7
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
i need help with math rlly bad
Step-by-step explanation:
what's the question sweetie?
Which expression is equivalent to 5x2 – 8 ?
explain
Answer:
10x+−8
Step-by-step explanation:
multiply 5 x 2 = 10
turn 8 to -8
now your answer is 10x+-8
A package of golf balls costs $22 and a package of golf tees costs $4. The expression $22b + $4t represents the total cost for, b, packages of golf balls and, t, packages of golf tees. Find the total cost of 2 packages of golf balls and 3 packages of golf tees
Answer: $56
Step-by-step explanation: $22(2)+$4(3) = $56