Answer:
my answer is 5 thats may final answer....
thaks for your question..
The function f(x) is a cubic function and the zeros of f(x) are -5, -3 and 1. The y-intercept of f(x) is -45. Write the equation of the cubic polynomial in standard form.
Step-by-step explanation:
Since -5, -3 and 1 are the zeroes of f(x),
(x + 5), (x + 3) and (x - 1) are factors of f(x).
=> f(x) = a(x + 5)(x + 3)(x - 1),
where a is a real constant.
We are given that when x = 0, f(x) = -45.
=> a(0 + 5)(0 + 3)(0 - 1) = -45
=> -15a = -45, a = 3.
Hence, f(x) = 3(x + 5)(x + 3)(x - 1)
= 3x³ + 21x² + 21x - 45.
Answer:
The function f(x) is a cubic function and the zeros of f(x) are -5, -3 and 1. The y-intercept of f(x) is -45.
(x+5), (x+3) and (x-1) are the factors of f(x).
Form : f(x)=a(x+5)(x+3)(x-1)
When f(x)=-45 and x=0, we get a=3
Equation of the cubic polynomial in standard form is :---
[tex]f(x) = 3(x + 5)(x + 3)(x - 1)\\ =3 ( {x}^{2} + 8x + 15)(x - 1) \\=3({x}^{3} + 8 {x}^{2} + 15x - {x}^{2} - 8x - 15) \\ =3({x}^{3} + 7{x}^{2} + 7x - 15)\\=\boxed{3{x}^{3}+21{x}^{2}+21x-45}[/tex]
3x³+21x²+21x-45 is the right answer.twelve less than a p
number is two
Answer:
P = 14
Step-by-step explanation:
First of all we know that P - 12 = 2
So, basically all we have to do is add 12 plus 2.
12 + 2 = P
P = 14
So, P should equal 14.
Answer:
p=14
Step-by-step explanation:
p - 12 = 2
+12 +12
p = 14
Hope this Helps!!!
what is 4140000 in standard form
Answer:
four million one hundred forty thousand
Step-by-step explanation:
just read it correctly and then write it down
Answer:
its 414 (03)
you take the first 3 numbers and put it and then you count how many zeros there are and you put 0 and how many there are withch is 4
Use the DistributiveProperty to write an equivalent expression
3(-6.45 + 5x)
Find the remainder when the function is
according to the question
3x-1=0
3x=1
x=⅓
so
f(x)=18x³+x-1
f(⅓)=18.(⅓)³+⅓-1
f(⅓)=18.⅓.⅓.⅓+⅓-1
f(⅓)=6.⅑+⅓-1
f(⅓)=⅔+½-1
f(⅓)=0
therefore the remainder is 0What is the nth term rule of the linear sequence below?
13, 7, 1, -5, -11,...
Answer:
aₙ = a₁ - 6* (n-1)
Step-by-step explanation:
a₁ = 13 = 13 - 6* (1-1)
a₂ = 7 = 13 - 6 * 1 = 13- 6*(2-1)
a₃ = 1 = 7 - 1 = 13 - 6 * 2 = 13 - 6 * (3-1)
........
aₙ = a₁ - 6* (n-1)
check: a₅ = 13 - 6*4 = -11
Answer:
7
Step-by-step explanation:
7/9
how many degrees would you rotate to get from vertex to vertex in a hexagon?
Answer:[10] Using the formula (n - 2)180/n for the vertex angle of a regular n-gon, we find that the vertex angle for a regular hexagon is 120 degrees and for a regular octagon it is 135 degrees.
Step-by-step explanation:
the ratio of the length to the breadth of a rectangle is 7:3. calculate the dimensions of the rectangle if the area is 525m²
Answer:
Length = 367.5 m.
Breadth = 157.5 m.
Step-by-step explanation:
The ratio is 7:3 .
There are 7 + 3 = 10 'parts' in the ratio.
So we work out the multiplier which is 525 / 10 = 52.5
Length = 7 * multiplier
= 7 * 52.5
= 367.5
Breadth = 3 * multiplier
= 3 * 52.5
= 157.5.
1 = $60, P = $750, r = 4%, t = ?. Find the amount of time.
Answer:
287.5 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = (1/0.04)((750/60) - 1) = 287.5
t = 287.5 years
mark is 11 3/4 years old.marian is 1 1/2 years older than mark and jane is 1 1/5 years older than marian.how old is jane?
Jane is 19 9/20 years old. If Marian is 11/2 years bigger then Mark, you would have to add both ages up and then get the answer of 17 1/4. Then it said that Jane is 11/5 years older than Marian which means that you would have to add again to find the final answer. 11/5=2 1/5 and then add 17 1/4 which you get 19 9/20. So Jane is 19 9/20 years old.
Answer:
22/3 years old jane
Step-by-step explanation:
add 11+11 =22
2+5=7
7-3=4
so, she's 22/3 years old
The sum of two numbers is 150. The larger number is 20 more than the smaller number
What is the smaller number?
What is the larger number?
Answer:
the smaller number is 65
the larger number is 85
Step-by-step explanation:
Hope this helps! :)
I GOT ONE QUESTION HERE I NEED HELP OR ASSISTANCE ON
Answer:
(k + 0.04)(k - 0.04)
Step-by-step explanation:
a² - b² = (a + b)(a - b)
k² - 0.0016 = k² - (0.04)²
= (k + 0.04)(k - 0.04)
Hint: 0.0016 = [tex]\frac{16}{1000}=\frac{4^{2}}{100^{2}}=(\frac{4}{100})^{2} = (0.04)^{2}[/tex]
20 out of the 80 students on the football team walk home. What percent of the football players walk home?
Answer:
25%
Step-by-step explanation:
Total number of students on the football team = 80
Number that walk home= 20
Then percent of the football players walk home can be computed as
= 20/80 × 100%
= 0.25 ×100
= 25%
Hence, percent of the football players walk home is 25.
the 8th term of 3, 3/2, 3/4
Answer:
3/12
Step-by-step explanation:
what is the total price of a book if barnes and nobles gets it for 4.25 and the markup is 30%
5+(-13)=????
??????????
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
what best describes pi?
Answer: D
Step-by-step explanation:
number π is a mathematical constant, the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.
Answer:
I would say answer D is the correct one.
Step-by-step explanation:
9. At Ethan's tree Farm, the taller trees are braced by wires that extend 2 feet below the top of a tree, to a stake
in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree?
Answer:
22'
Step-by-step explanation:
25^2=15^2+x^2 where x=tree height less the 2' from the top
x=20'
Add the 2' from wire connection to top of tree.
22'
please help i’ll mark brainliest
Answer:
A
Step-by-step explanation:
it is A
The slope of the tangent to a curve at any point (x, y) on the curve is x divided by y . Find the equation of the curve if the point (2, -3) is on the curve.
A) x2 + y2 = 13
B) x2 + y2 = 25
C) x2 - y2 = -5
D) x2 - y2 = 5
Answer:
I THINK MAYBE C hope this helps
Step-by-step explanation:
4. Mikael worked 5 hours on Tuesday and 6 hours on Wednesday. She
earned $88. What was her pay rate?
Pls answer
Help me pls with this
Answer:
5 units
Step-by-step explanation:
radius is just half the diameter
What is the slope of the lime that passes through the points (-8, 3) and (-8, 2)?
Wiwite your answer im simplest form
simplify the square root of 2 multiplied by the square root of 18
simplify the ratio go 35:14
Answer:
5:2 is the lowest you could simplify it to
Step-by-step explanation:
To simplify the ratio [tex]35:14[/tex], we find the greatest common divisor of 35 and 14, and then we divide 35 and 14 by the greatest common divisor.
The greatest common divisor that you can use to simplify 35:14 is 7. This means the answer to the ratio [tex]35:14[/tex] simplified is:
[tex]5:2[/tex]
Here is the math to illustrate better:
35÷7 = 5 and 14÷7 = 2
Thus, [tex]35:14[/tex] ratio simplified is [tex]5:2[/tex]
The Chang family ate 12 cookies in 10 minutes at this rate,how long would it take the family to eat 60 cookies
Answer:
50 min :)
Step-by-step explanation:
12 cookies in ten min
12*5=60
10*5=50
Is sec (−θ) equal to sec θ or - sec θ? How do you know?
Answer:
sec(- θ ) = secθ
Step-by-step explanation:
The relationship between sec and cos is
sec x = [tex]\frac{1}{cosx}[/tex]
Now cos(- x) = cosx
Thus
sec(- θ ) = secθ
Graph the line y = -1/2x - 2
Answer:
Step-by-step explanation:
Basically -1/2 is the slope meaning you go down 1 and go to the right by 2 and then the -2 is the y-intercept meaning when x=0 y=-2
What is the outlier in the data set shown below?
A. 6
B. 36
C. 40
D. 46
The outliers of the given data seta are -
- 0.5 and 23.5
What is outlier of a data?An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.
Given is a dataset shown in the image.
Arrange the data in ascending order -
(6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 15, 15, 40)
(x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈, x₉, x₁₀, x₁₁, x₁₂, x₁₃, x₁₄, x₁₅, x₁₆)
First quartile -
Q{1} = (x₅ + x₄)/2 = (9 + 8)/2 = 8.5
Q{1} = 8.5
Third quartile -
Q{3} = (x₁₂ + x₁₃)/2 = (14 + 15)/2 = 14.5
Q{3} = 14.5
Interquartile range -
IQR = Q{3} - Q{1}
IQR = 14.5 - 8.5
IQR = 6
Outliers -
(numbers less than Q1 – 1.5 × IQR) = - 0.5
(numbers greater than Q3 + 1.5 × IQR) = 23.5
Therefore, the outliers of the given data seta are -
- 0.5 and 23.5
To solve more questions on outliers, visit the link below -
https://brainly.com/question/26958242
#SPJ1
Find the equation of the exponential function represented by the table below: 0 1 1 1 3 2 9 3 27
Answer:
Step-by-step explanation:
comwe kid 56 67
