Write a possible equation for a polynomial with zeros at -4, -5, 0, 1/3.
[tex]\begin{cases} x = -4\implies &x+4=0\\ x=-5\implies &x+5=0\\ x = 0\implies &x=0\\ x=\frac{1}{3}\implies &x -\frac{1}{3}=0\\ &3\left( x -\frac{1}{3} \right)=3(0)\\ &3x-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x+4)(x+5)(x)(3x-1)=\stackrel{\textit{original equation}}{0} \\\\\\ (x^2+9x+20)(x)(3x-1)=y\implies (x^3+9x^2+20x)(3x-1)=y \\\\\\ (3x^4+27x^3+60x^2)+(-x^3-9x^2-20x)=y[/tex]
[tex]3x^4+27x^3+60x^2-x^3-9x^2-20x=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 3x^4+26x^3+51x^2-20x=y~\hfill[/tex]
MTH208 Graded Assignment Unit 5 Test, Part 2. Relationships of Right Triangles, Including Trigonometry
(Score for Question 3:
of 5 points)
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and
show your work
А
30
14 cm
B
Answer:
PLEASE HELP do. Not comment just to get points.
Answer: 14 cm
Step-by-step explanation: A right triangle is an isosceles triangle.
Please help please please help me please help please please
Answer:
y - 6 = -3 ( x - 7)
Step-by-step explanation:
Use one of the points.
m is the slope
Y - Y1 = m(X - X1)
y - 6 = -3(x - 7)
y - 6 = -3x + 21
y - 6 + 3x - 21 = 0
y - 27 + 3x = 0
3x + y - 27 = 0
Mathematics questions are in the image, just answer them and no work included! i'll give brainlist to the most helpful answer!
1. 4
2. 6
3. 10
4. 30
5. 48
6. 55
7. 68
8. 148
9. 102
10. 38
Would appreciate brainly <3
Can anyone help me answer this
Answer:
(-4;5)
Step-by-step explanation:
Replace x and y by each of the possible solution until the equation is true. here it is true for (-4 ; 5), because:
3 * (-4) - 2 * 5 = -12 - 10 = -22
Please help me quickly thank you!
Answer:
i think it is a if its wrong sorry
Step-by-step explanation:
Answer:
its 115
Step-by-step explanation:
if you take the angle and look at the end if the triangle it shows the end of the angle as 50. if 50 is the top and right angle and you see another angle that looks like that spliting it in half it is 115. its 115 tho because the right side of the missing angle is bigger than the left. hopefully this helps
A. Determine the value of each function
1. For p(x)=-2x + 5, determine:
a. p(5)
b. p(0)
c. p(-1/2)
Answer:
a= -5
b=5
c=6
substitue each value as x
a fingernail grows about 0.1 millimeter eachday how much does a fingernail grow in 90 days
Answer:
9 mm
Step-by-step explanation:
90*0.1=9
Can anyone help me with this question?
Answer: Here you go
Explanation:
Raduis is 2.5cm
Diameter 5cm
Circumference 15.70796cm or 16 rounded up because 2 times pie time 2.5 because 2.5 is the radius which if you calculate is 15.7 because 2 x 3.1415 x 2.5 = 15.7
What is the slope of the line that passes through the points (−4,−1) and (18,−2) ?
A. − 3/14
B. 1 /14
C. 22
D. − 1/22
Answer:
D
Step-by-step explaination:
Use synthetic division to find the result when 3x^4 – 16x^3 + 29x^2 - 17x - 2 is divided by x – 2
Answer:
2
Step-by-step explanation:
Find the Solution in the Interval [0,2 pi]
tan(theta/7)+ square root3= 0
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The solutions to the equation are ...
tan(θ/7) +√3 = 0
tan(θ/7) = -√3
θ/7 = arctan(-√3) +nπ . . . . . . . for integer n
θ = 7(-π/3 +nπ) = 7π(n -1/3)
For n=0, θ = -7π/3 -- not in the required interval.
For n=1, θ = 14π/3 -- not in the required interval.
There are no solutions in the required interval.
Ivy bought a bike for $67.82. The sales tax was $4.79. How much money did Ivy spend on the bike before taxes?
Answer:
Step-by-step explanation:
$63.03 money
Which of the accounts below are considered accrued expenses?
Answer:
Accrued expenses are those liabilities that have built up over time and are due to be paid. Accrued expenses are considered to be current liabilities because the payment is usually due within one year of the date of the transaction. Accounts payable are current liabilities that will be paid in the near future.
Answer:
Wages expense, Interest expense
Step-by-step explanation:
Each day, a restaurant serves x meals that consist of 1/4 of a chicken each. It also makes soup
using 1/2 of a chicken each day. The chef expresses the number of chickens she uses each day
1/4x+1/2. How many chickens does she use in three days?
Answer:
2 1/4
Step-by-step explanation:
Find the sum or difference. Enter the answer as a fraction, using the slash ()
as the fraction bar.
2/15+5/15
Answer:
7/15
Step-by-step explanation:
2/15 + 5/15 = 7/15
Hoped this helped.
For a certain company, the cost function for producing x items is C(x)=30x+150 and the revenue function for selling x items is R(x)=−0.5(x−90)2+4,050. The maximum capacity of the company is 130 items.
The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
Answers to some of the questions are given below so that you can check your work.
Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?
The company can choose to produce either 60 or 70 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 60 items =
Number
Profit when producing 70 items =
Number
Can you explain, from our model, why the company makes less profit when producing 10 more units?
Profit, revenue and cost are related, and can be calculated from one another.
The profit function is [tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]The domain of the profit function is x > 0The profit when producing 60 items is 1650The profit when producing 70 items is 1600The cost function is given as:
[tex]\mathbf{C(x) =30x + 150}[/tex]
The revenue function is given as:
[tex]\mathbf{R(x) =-0.5(x -90)^2 + 4050}[/tex]
(a) Calculate the profit function
This is calculated using:
[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]
So, we have:
[tex]\mathbf{P(x) =-0.5(x -90)^2 + 4050 - 30x - 150}[/tex]
Evaluate like terms
[tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]
(b) The domain of the profit function
When profit is 0 or less, then it becomes no profit.
Hence, the domain of the profit function is x > 0
(c) The profit for 60 and 70 items
Substitute 60 and 70 for x in P(x)
[tex]\mathbf{P(60) =-0.5(60 -90)^2 - 30 \times 60 + 3900}[/tex]
[tex]\mathbf{P(60) =1650}[/tex]
The profit when producing 60 items is 1650
[tex]\mathbf{P(70) =-0.5(70 -90)^2 - 30 \times 70 + 3900}[/tex]
[tex]\mathbf{P(70) = 1500}[/tex]
The profit when producing 70 items is 1600
(d) Why producing 10 more units less profit
When a function reaches the optimal value, the value of the function begins to reduce.
This means that, producing 10 more units takes the profit function beyond its maximum point.
Read more about profit, cost and revenue at:
https://brainly.com/question/11384352
The set of all numbers less than or equal to -1
Answer:
-10,-100,-8,-7,-2,-4,-5,-20,-6,-3,-7
Would love it if your able to help me :)
Answer:
x = 2.83163
Step-by-step explanation:
Have a nice day!
and if you have questions on how I found it please ask.
—
Find the 13th term of the arithmetic sequence – 5x + 7, -11x + 5, -17x + 3
Answer:
maybe 13
Step-by-step explanation:
) 11. Last week, Raj camned $58. He spent $12 and saved the rest Nlichael earned 583 and Saved $20. Who saved the greater percent of his earnings
. To do the ham số y = 3x - 3
Step-by-step explanation:
subject arts and architecture what primary
с
6
D
15
8
B
?
А
1) Find the missing side length.
es
A) 14
B) 16
18
D) 20
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o
its
<
3
Answer:
The answer would be 19
Step-by-step explanation:
Using pythagoras theorem
15+6= 21
a^2+b^2= c^2
In this scenario,
c^2-a^2= b^2
Meaning it would be 21^2+8^2
= 377
Square root of 377 would be 19.416
?= 19.416
The missing side length of the right angle triangle is 20
How to solve missing sides using Pythagoras theoremPythagoras theorem States that the square of the longest side of a triangle is equal to the sum of the square of the opposite side and no square of the adjacent side.
The diagram is a right angle triangle with sides AB, BC and CA.The longest side is BCBC² = AB² + CA²
(15 + 6)² = x² + 8²
21² = x² + 8²
21² - 8² = x²
441 - 64 = x²
377 = x²
find the square root of both sidesx = √377
x = 19.41648783894759891856148511263886343
Approximately to the nearest whole number
= 20
Learn more about Pythagoras theorem:
https://brainly.com/question/654982
The copy machine at the library made a copy of Leslie 3 page essay in just 1/10 of a minute what is the speed of the copy machine
Answer:
30 pages/min
Step-by-step explanation:
NEED HELP ASAP! TYSM IF YOU DO
Which of the following equations represents the greatest value of x?
Equation 1
x^2 = 17
Equation 2
x^2 = 26
Equation 3
x^3 = 64
Equation 4
x^3 = 27
Answer:
Equation 2 represents the greatest value of x!
Step-by-step explanation:
Let's solve each equation for x.
Equation 1; x = 4.1 (about)
Equation 2: x = 5 (about)
Equation 3: x = 4 (exact)
Equation 4: x = 3 (exact)
Hope this helps. :)
Find the exact valueFind sin theta:/2
See picture. Show steps
Answer:
Step-by-step explanation:
Use the half angle formulas
sin(θ/2) = ±√((1 - cosθ)/2)
sin(θ/2) = ±√((1 - (3/5))/2)
sin(θ/2) = ±√((2/5)/2)
sin(θ/2) = ±√(1/5)
knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.
sin(θ/2) = +√(1/5) = √0.2
I know that x + 2 is a factor of P(x) = 2x^{3} + 5x^{2} + 5x + 6, but I just don't know how to do the second half
Answer:
explain it again
Step-by-step explanation:
i don't understand
pls help :) not understanding this thank you!!!
Answer: equals Z
Step-by-step explanation:
simple you do y divided by mass energy
Find the missing measurements
Answer:
O = 16.7 degrees
A = 73.3 degrees
Step-by-step explanation:
used a triangle calculator
an elevator descends 26 feet in 6s
Answer:
Starting position of mine shaft is = 10m above ground
but,
it moves in opposite direction so it travels the distance (-350 m ) below the ground.
Total distance covered by mine shaft = 10m - (-350m)
= 10 + 350
= 360m
Now, taken to cover a distance of 6m by it = 1 minute
Time taken to cover a distance of 1m by it = \frac{1}{6\ }\min
Therefore, tie taken to a cover a distance of 360m = \frac{1}{6}\times\ 360\ =\ 60\ \min\ \
60 minutes = 1 hour
thus, in one hour the mine shraft reaches = 350 below the ground
Step-by-step explanation: