9514 1404 393
Answer:
p(x) = 3(x -2)^4(x +2) . . . in factored form
p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96 . . . in standard form
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The exponent of the factor is the multiplicity of the zero. The product of factors can be multiplied by 3 to make the leading coefficient be 3.
p(x) = 3(x -2)^4(x -(-2))
= 3(x^4 +4(-2)x^3 +6(-2)^2x^2 +4(-2)^3x +(-2)^4)·(x +2)
= 3(x^4 -8x^3 +24x^2 -32x +16)(x +2)
= 3(x^5 -6x^4 +8x^3 +16x^2 -48x +32)
p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96
Which type of function best models the data in the set of ordered pairs?
(-2, 16),(-1, 8), (0,4), (1, 2), (2,1)
Your answer:
A.Linear
B.Quadratic
C.Exponential
Answer:
C) Exponential
Step-by-step explanation:
If you divide the consecutive y-values, you'll get a consistent result of 2:
16/8 = 2
8/4 = 2
4/2 = 2
2/1 = 2
This type of pattern corresponds to an Exponential Function.
Can you help me
algebra 1
See the picture above for the solution.
Multiply 3hrs 30mins by 4
Answer:
14 hours
Step-by-step explanation:
f(x) = x + 2 and g(x) = x2 – 4
What is (fºg)(x)?
x² –2
x² + 4x
x² + 4x-2
Answer:
x^2-2
Step-by-step explanation:
Sorry I dont have an explanation, its saying its saying its not valid and I am in a rush rn.
Answer:
for the first box its: x²-2
for the second box its: 2
for the third box its: B
for the fourth box its: 12
Step-by-step explanation:
i just did the assignment on edge
If f(x) = –2x3, g(x) = 3x – 5, and h(x) = x – 1, what is f(g(h(3)))?
–129
–54
–53
–2
Answer:
[tex]f(x) = - 2 {x}^{3} \\ g(x) = 3x - 5 \\ h(x) = x - 1 \\ g(h(x)) = 3(x - 1) - 5 \\ = 3x - 3 - 5 = 3x - 8 \\ f(g(h(x)) )= - 2 {(3x - 8)}^{3} \\ f(g(h(3)) )=- 2 {(3(3) - 8)}^{3} \\ = - 2 {(9 - 8)}^{3} \\ f(g(h(3)) )=- 2[/tex]
What is the difference?
Х
1
x?+3x+2 (x+ 2)(x+1)
(x+2)(x+1)
X-1
6x+4
-1
4x+2
1
X+ 2
x-1
x² + 3x+2
2
Step-by-step explanation:
your correct answer is the last one (x-1)/x²+3x+2.
the second equation lcm will be x²+3x+2 if you expand it .
hope this helps you.
The difference of the Expression is (x -1) / (x² + 3x + 2).
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have,
x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)
Now, simplifying the expression as
x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)
= x/ (x² + 2x + x + 2) - 1/ (x+ 2)(x+ 1)
= x/ x(x+ 2) + (x+ 2) - 1/ (x+ 2)(x+ 1)
= x/ (x+2) (x+1) - 1/ (x+ 2)(x+ 1)
= (x-1) / (x+ 2)(x+ 1)
= (x -1) / (x² + 3x + 2)
Thus, the difference of the Expression is (x -1) / (x² + 3x + 2).
Learn more about Expression here:
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Line b passes through points (6, 7) and (1, 1). Line c passes through points (7, 10) and (2, 4). Are line b and line c parallel or perpendicular?
Answer:
b and c are parallel lines
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
Calculate the slopes m of the lines using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 7 ) and (x₂, y₂ ) = (1, 1 )
[tex]m_{b}[/tex] = [tex]\frac{1-7}{1-6}[/tex] = [tex]\frac{-6}{-5}[/tex] = [tex]\frac{6}{5}[/tex]
Repeat with (x₁, y₁ ) = (7, 10 ) and (x₂, y₂ ) = (2, 4 )
[tex]m_{c}[/tex] = [tex]\frac{4-10}{2-7}[/tex] = [tex]\frac{-6}{-5}[/tex] = [tex]\frac{6}{5}[/tex]
Since slope are equal then line b and line c are parallel lines
Multiply.
[−8 ⋅ 4/11] ⋅ [(−0.1) ⋅ 22]
What is the product?
pls help!!!
HELP! DUE SOON! X^2=6
Answer:
x² = 2
x = sqrt. of 6
x = (+-)2.449
Step-by-step explanation:
brainliest plz
solve in step wise.
Adam has $100 in his savings account. He earns $12 a week for babysitting. How much money will Adam have after 3 weeks of babysitting
Answer:
$136
Step-by-step explanation:
.
Simplify: -8(13 – 5c + 12d)
a -104 – 5c + 12d
b -104 - 40c - 96d
c -104 -13c + 4d
d -104 + 40c – 96d
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Simplification ~
[tex] - 8(13 - 5c + 12d)[/tex][tex]( - 8 \times 13) + ( - 5c \times - 8) + ( - 8 \times 12d)[/tex][tex] - 104 + 40c - 96d[/tex]Correct choice is D
Simplify: -8(13 – 5c + 12d)
= −8 (13−5c+12d)
= (−8×13) + (−5c×−8) + (−8×12d)
= - 104 + 40c - 96d
Correct option is D
▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪
Answered by:-Cutest Ghost (･◡･)▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪
Roxanne is using successive approximation to solve this equation.
She started from a graph, where she found the solution to be between and 0. Using the lower and upper bounds from the graph, Roxanne started the first iteration of successive approximation. Where did Roxanne make a mistake, and what was the error?
Answer:
B. Roxanne made a mistake at step 5. She should have used x - 1/2 as the new upper bound.
Step-by-step explanation:
Based on the successive approximation method, Roxanne made a mistake at step 5. She should have used x = -1/2 as the new upper bound.
What is successive approximation?In Science, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.
In this scenario, Roxanne started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that Roxanne made a mistake at step 5 because she should have used x = -1/2 as the new upper bound.
Read more on successive approximation here: https://brainly.com/question/9761975
A constant head permeability test is performed on a soil that is 2 cm x 2 cm square and 2.5 cm long. The head difference applied during the test is 18 cm, and 5 cm3is collected over a time of 100 sec. a) Compute the permeability based on these test conditions and results b) A falling head test is to be done on the same soil specimen in teh same time (t1 - t2
Answer:A
Step-by-step explanation:por que se calcula correctamente
Một ông 43 tuổi đến khám tổng quát. Phân tích nước tiểu thấy có đường niệu. Bạn vừa biết có một test T dung phát hiện bệnh tiểu đường như sau: 138 cho T+ trên 150 người bị tiểu đường và 24 cho T+ trên 150 người không bị tiểu đường. a) Tìm độ nhạy, độ chuyên, dương giả, âm giả của T b) Bằng phương pháp thử máu (T’) có độ nhạy 0.8; độ chuyên 0.96; đem áp dụng cho hai nhóm trên thì giá trị đoán trước là bao nhiêu nêu T’ dương tính. c) Với bệnh nhân này, nếu T dương tính bạn cho là có khả năng 90% bị tiểu đường còn nếu T' cũng dương tính thì khả năng bị tiểu đường là bao nhiêu
Answer:
Step-by-step explanation:
Directions: Find the value of x.
Answer:
approximately 7 cm
Step-by-step explanation:
I’m not absolutely sure so double check
Si el punto (5,0) está en una gráfica, żes (5,0)
la intersección con el eje y de la gráfica? Explica
Answer:
Can you put it in English pls..
Step-by-step explanation:
Which of the following satisfies 3x+1=4(mod9)
Answer:
X=1
Step-by-step explanation:
3x+1=4
3x=4-1
3x=3
x=1
If a square has a perimeter of 36cm how long is each side of the square
Answer:
9 cm
Step-by-step explanation:
→ Remember how many sides a square has
4
→ Divide it by the perimeter
36 ÷ 4 = 9
Step-by-step explanation:
you know what a square is ?
it is a closed shape with 4 sides.
all 4 sides are equally long.
all 4 inner angle are 90 degrees.
you know what a perimeter is ?
it is the circumference, the whole way one time around the shape, around the outline of a given structure.
if you don't know the terms, for heaven's sake, please ask your teacher, your friends, your parents or us here directly.
don't wait. don't be afraid or ashamed.
because this here is an extremely simple problem to solve, once you understand the words used.
so, as per the explanations, the perimeter of a square is the sum of the lengths of all sides. and because all sides are equally long, this means the perimeter is simply 4 times the length of one side.
36 = 4×side
side = 36/4 = 9cm
so, each side of the square is 9cm long.
hey i need help with how to multiply 8/9 and 1/4. HELP ME OOOUUUUTTTT!!!!!!!!!!!!!!
Explanation:
Multiply the numbers up top: 8*1 = 8
Multiply the numbers in the bottom: 9*4 = 36
The two fractions 8/9 and 1/4 multiply to 8/36. Reduce this to 2/9 after dividing both parts by the GCF 4.
In other words,
8/4 = 2
36/4 = 9
Hello there! :)
When multiplying fractions, we multiply the numerator times the numerator and the denominator times the denominator. We reduce if it's necessary.
So multiply:
[tex]\frac{8}{9} *\frac{1}{4} \\[/tex]
Reduce and get:
[tex]\frac{2}{9} *\frac{1}{1} \\\frac{2}{9}[/tex]
And that's our final answer. Hope it helps you!
~Just a joyful teen
[tex]SilentNature[/tex]
Find The Size Of Angle AED
(Explain How)
[tex] - 110 \: degree[/tex]
6. Han followed these instructions to make the image. a. Given line), mark 2 points on the line b. Construct congruent circles a and b centered at the points on ). c. Construct line e through the intersection points of a and b. d. Construct circle e centered at 1 intersection point of a and ó. Mark the 2 intersection points of d'and. e. Construct aangruent carcles Anand i centered at the points on g. Construcline through the intersection points of Anand Write a statement about each pair of lines in this construction. (3 statements) pls help
Three statements are as follows -
1. It is a straight line drawn with a straightedge and cuts across the lines.
2. Both drawn with the same compass width.
3. Corresponding parts of congruent triangles are congruent.
This construction works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
This is how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
Hence the three statements of the image are -
It is a straight line drawn with a straightedge and cuts across the lines. Both drawn with the same compass width.
Corresponding parts of congruent triangles are congruent.
To learn more about construction of image
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What is the geometric series
1,-5,25,-125.......n=8 please this is 30 points
Answer:
-5
Step-by-step explanation:
b1 = +1
b2= -5
b3 = +25
b4 = -125
q = -5 (if u times it -5, u will have every second + or -)
q = [tex]\frac{b2}{b1}[/tex] = -5:1 = -5
9514 1404 393
Answer:
the sum of 8 terms of the series is -65104.
Step-by-step explanation:
The first term is 1.
The common ratio is (-5)/(1) = -5.
The sum of 8 terms is ...
S8 = a1(r^8 -1)/(r -1)
S8 = 1((-5)^8 -1)/((-5) -1) = 390624/-6 = -65104
The sum of 8 terms is -65104.
__
The 8th term is 1·(-5)^(8-1) = -78,125.
ℎ(?=4?Ȓ12 ?ћ???=?Ď(?−18
Answer:
4
Step-by-step explanation:
just trust me
The test will have 25 questions. Each question will be worth
3 marks each. How many marks will the test be out of?
Answer:
75 marks
Step-by-step explanation:
one question worth 3 marks
so 25×3=75
Seven large hamburgers are shared equally among twelve people at a dinner. Which of the following shows the amount of a hamburger that each person eats?
cut 6 into half's and spit the last into 7th's
If f(x) = 4x - 1 and g(x) = 2x - 4, what is (f o g)(x)?
View image for answer choices!
HELP
____________
[tex] \: [/tex]
f(x) = 4x - 1
g(x) = 2x - 4
Soo :
(f o g)(x) = ...
= f(g(x))
= f(2x - 4)
= 4(2x - 4) - 1
= 8x - 16 - 1
= 8x - 17✔ (D.)
.
What term describes the amount you must pay in order to be considered “up-to-date” with your credit card payments?
Interest
Minimum payment
Closing balance
Answer:
Minimum payment
Step-by-step explanation:
A minimum payment is the least amount that one must pay to be "up-to-date" with one's credit card payments.
In this exercise we have to use the knowledge of finance and identify in the given statement which term is used correctly:
Minimum payment
So the term used in this exercise corresponds to:
A minimum fee happen the minimal amount your credit card issuer will acknowledge toward your charge card balance each temporal length of event or entity's existence. You must pay not completely this amount for your fee to be deliberate "according to schedule," and to prevent late charge for service or privilege and other punishment.
See more about finance at brainly.com/question/10024737
hi pls help me!!! thank you
Step-by-step explanation:
Circumference (C):
[tex]C = 2\pi r = 2\pi(5\:\text{ft}) = 31.4\:\text{ft}[/tex]
Area (A):
[tex]A = \pi r^2 = \pi(5\:\text{ft})^2 = 78.5\:\text{ft}^2[/tex]
Solve the photo displayed above ⬆️
Answer: 216
Step-by-step explanation:its just 6x6x6
