This is an interesting problem. The underlying solution is to solve a system of equations.
First we need to define what's a cubic polynomial function :
f(x) = [tex]ax^{3}+bx^{2}+cx+d[/tex], where a,b,c,d are constant values.
We assume from the problem that f(-1) = 40, and that the zeros of our unknown function are -6,-5 and -2.
This gives us a system of equation to solve :
[tex]-216a +36b-6c+d=0\\-125a+25b-5c+d=0\\-8a+4b-2c+d=0\\-a+b-c+d = 40\\[/tex]
Good luck
Evaluate the function for each input listed in the table, and graph the resulting ordered pairs on the coordinate plane.
x f(x) = 2x
0
1
2
3
4
Answer:
0
2
4
6
8
Step-by-step explanation:
f(x) = 2x
f(0) = 2 * 0 = 0
f(1) = 2 * 1 = 2
f(2) = 2 * 2 = 4
f(3) = 2 * 3 = 6
f(4) = 2 * 4 = 8
The complete table of the linear function f(x) = 2x for x = 0 to 4 is:
x 0 1 2 3 4
f(x) 0 2 4 6 8
How to evaluate the function values?The function is given as:
f(x) = 2x
When x = 0, we have:
f(0) =2(0) = 1
When x = 1, we have:
f(1) =2(1) = 2
When x = 2, we have:
f(2) =2(2) = 4
When x = 3, we have:
f(3) =2(3) = 6
When x = 4, we have:
f(4) =2(4) = 8
So, the complete table is:
x 0 1 2 3 4
f(x) 0 2 4 6 8
Read more about linear functions at:
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Plz help I need help
Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
Hi,
Recall that the area of a parallelogram is the product of the base b and the height or "altitude" h. So the formula is : b * h. b = 20 here, and h = 6, so we get : 20 * 6 = 120.
Now we have to compute the area of the semicircle, remember the formula for the area of a circle is : πr² where r is the radius of the circle. If we watch the figure, we already have the value of the diameter d = 8. So the radius is equal to half the diameter : r = 8 /2 = 4
Now applying the formula we get : πr² = π * 4² ≈ 50.3 rounded to the nearest tenth place.
But we don't wont the area of the circle, we want half the area of it, since it's a semicircle : πr² / 2 ≈ 25.1 rounded to the nearest tenth place.
Now to get the whole area of the figure, we need to sum the area of the parallelogram with the area of the semicircle : 120 + 25.1 ≈ 145.1 rounded to the nearest tenth place.
Good Luck
Can someone help me on this question! It’s really confusing
is that all of the question?
There is an equation that has a slope of 3 and it crosses the y-axis at (0, -1).
What is the equation of this line?
Answer: y = 3x - 1
Step-by-step explanation:
y = 3x + c
-1 = 3(0) + c
-1 = 0 + c
-1 - 0 = c
-1 = c
y = 3x - 1
What is formed when the number of electrons is changed?
Question 2 options:
isotope
radioisotope
a new element
ion
Answer:
A New Element
1/2 : 10 = 2 12 : x
What is the value of x
Rewrite the linear equation in the form y = mx + b.
x + 2y = -8
nonsense answers will be reported.
Determine the better buy. A: $9.60 for 3 gallons B: $16.00 for 400 fl ounces
1 gallon = 128 fl ounces
Answer:
A is better, you pay 0.015 less than option B.
Step-by-step explanation:
1 gallon = 128 oz so:
3 x 128 = 384 oz
9.60 / 384 = $0.025 per oz
16.00 / 400 = $0.04 per OZ
What is the missing term in the factorization?
100x2−36=4(5x+?)(5x−3)
Enter your answer in the box.
Answer:
100x^2-36=4(5x+3)(5x-3)
Given matrices A and B shown below, find (−4)A+(−9)B.
see the answer in the attached picture.
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer:
2924
Step-by-step explanation:
2752 ÷ 16 = 172 ← number of points per coin
After collecting 17 points he will have collected
2752 + 172 = 2924 points in total
Answer:
2924
Step-by-step explanation:
x + 2y = 10
y=x-4
Choices are:
(0,4)
(2,6)
(6,2)
(8,0)
Work shown
5
6
✓
Question 19 (5 points)
Simplify by using long division:
x+2x-6
8
9
x-2
.
A) x + 4 - 22
4
x-
11
12
>
B) x +4 +
14
15
C) x + 2 +
17
18
D) x + 2 -
2-42
✓
20
Question 20 (5 points)
Answer:
1. 2/5
2. 3/20
3. 6 1/9
4. 1/5
5. 11
6. 1
7. 3/13
8. 1 5/11
9. 2
10. 6 1/2
11. 20/27
12. 2 3/16
13. 4 13/18
14. 1 45/98
Hope this helps!
Step-by-step explanation:
carlos registro la altura de una planta cada una semana y se dio cuenta que esta crecio constantemente 3 cm durante las primeras 4 semanas. cuando comenzó a realizar las mediciones lq planta media 12cm ¿ cuál es la variable dependiente y la independiente?
Answer:
yo soy inteligente
Step-by-step explanation:
pero no me se la respuesta de la perunta
1. What reasons did the members of the Constitutional Convention have for creating the Electoral College?
2. How have voters in America changed since the Constitution was created?
3. Should the Electoral College continue to be used? Why or why not? Use examples from your research to support your answer.
Please help me~!!
Answer:
Non veg se mujhe Run movie ka kawuaa biryaani yaad aa gya
Step-by-step explanation:
Accha bhai koi mujhe batao
Pahle murgi ya anda
Wait your answer
3+(-5)+9-12÷2
lol easy
How to factor 3x³+3x²-36
Answer:
[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]
Step-by-step explanation:
Firstly, divide all parts of the equation by 3:
[tex]3x^3 + 3x^2-36[/tex]
[tex]3(x^3 + x^2-12)[/tex]
Now focus on the equation:
[tex]x^3 + x^2-12[/tex]
We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:
1 12
2 6
3 4
1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:
[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]
We can confirm this is simplified by multiplying together:
[tex](x - 2) (x^2 + 3x + 6)[/tex]
[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]
= [tex]x^3 + x^2 - 12[/tex]
Meaning it is simplified.
Now, put the equations together:
[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]
Hope this helps!
given deductions for this week: federal tax $61.34, FICA $52.05, and state $7.92 what is the annual federal tax deduction?
- $6,308,.12
-$3,189.68
-$3,152.06
-$1,594.84
Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.
Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:
The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.
$ 61.34 x 52 = X $ 3,189.68 = X
Therefore, the annual Federal Tax deduction is $ 3,189.68.
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Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Adjoa's got 4265.46 Ghc as his take home pay for the past month.
The question gave us his gross salary, which means everything he earned. At the same time, giving us a particular number as deduction. To calculate the net salary, all we have to do is to subtract the deduction from the gross salary, And thus;
4687.24 - 421.78 = 4265.46 Ghc
to learn more, see here https://brainly.com/question/16688602
What is the measure of 1
Answer:60
Step-by-step explanation:The measure of 1 is 60 because it's only half the size of 120
PLEASE HELP ITS MATH THANK YOUUUU
hhhhhhhhhhhheeeeeeeelllllllllllpppppppppppp me
Who does edge still in 2021?
Everyone uses this sofware to develop there decent knowledge about different courses that are best taught by Artificial Intelligence (A.I.).
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.
list five rational numbers between -1 and 0
Answer:
-1 ,-1/2 , -3/4 , -1 /4, -5 / 8 , -7 / 8 , -13 / 16, 0.
Step-by-step explanation:
Pls help I’ll brainlest and add extra points
Janice is a travel agent. She receives a 7% commission based on the value of the trips she
books. Today she spent 5 hours arranging a $6,300 cruise for a couple.
Based on her commission percentage, Janice was able to earn $441 in commission which translates to $88.20 per hour
The commission that Janice earned is found by:
= Commission percentage x Value of trip booked
= 7% x 6,300
= $441
The amount she earned per hour is therefore:
= Commission earned / Number of hours worked
= 441 / 5
= $88.20
In conclusion, Janice earned $441 in commission and earned $88.20 per hour.
Find out more at https://brainly.com/question/14473634.
The rest of the question is:
a. How much commission did she earn?
b. What was her mean hourly pay for the work she did?
Match the following sentences on the left with their algebraic expression on the right.
a. The product of 5 and the sum of a number and 8
Product means multiplied, so that means 5 multiplied by some number plus 8, thus, 5(x+8)
b. A number less than 12
12-x would equal less than
c. The product of five and a number divided by 2
Again, product means multiplied, so its saying 5 times something, all divided by 2, thus, 5x/2
Please give brainliest :) hope this helps!
Answer:
A number less than twelve = 12 - x = b
The product of five and a number divided by two = 5x/2 = c
The product of five and the sum of a number and eight = 5(x+8) = a
Step-by-step explanation:
A number less than twelve
12 minus a number
12 - x
The product of five and a number divided by two
A number times 5 divided by 2
5x/2
The product of five and the sum of a number and eight
A number plus 8 times 5
(x+8)*5
5(x+8)
Are constants like terms
Step-by-step explanation:
yes , all constant are like terms.