Answer:
the
Step-by-step explanation:
The polynomial function B(x) = -21x + 20 with a factor of (x - 4) is
- 21x² + 104x - 80.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, the polynomial function
B (x) = - 21x + 20 has a known factor of (x - 4).
This as a product of two factors can be written as,
(- 21x + 20)(x - 4).
= - 21x² + 84x + 20x - 80.
= - 21x² + 104x - 80.
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Help pls it would be much appreciated need it asap
Answer:
( 6, -3 )
Step-by-step explanation:
what's the exact length of the segment
Answer:
√13
Step-by-step explanation:
length √(2^2+3^2)=√13.
30. The table below shows the average temperature of a lake in months since April in a certain year. Find
the equation for the curve of best fit using a quadratic model, then predict the average temperature of
the lake during December of the same year. Round all answers to the nearest hundredth.
Month
Temp (°F)
April
59
May
68
June
71
July
78
August
74
1
Answer:
The temperature, in December is 47 °F
Step-by-step explanation:
The given data for the temperature are;
Month [tex]{}[/tex] Temp (°F)
April [tex]{}[/tex] 59
May [tex]{}[/tex] 68
June [tex]{}[/tex] 71
July [tex]{}[/tex] 78
August [tex]{}[/tex] 74
Let x represent the month, and f(x) = y represent the temperature, we have;
y = a·x² + b·x + c
When x = 1, we have, f(1) = a·1² + b·1 + c = 59
f(1) = a + b + c = 59...(1)
When x = 2, we have, f(2) = a·2² + b·2 + c = 68
f(2) = 4·a + 2·b + c = 68...(2)
When x = 3, we have, f(3) = a·3² + b·3 + c = 71
f(3) = 9·a + 3·b + c = 71...(3)
When x = 4, we have, f(4) = a·4² + b·4 + c = 78
f(3) = 16·a + 4·b + c = 78...(4)
When x = 5, we have, f(5) = a·5² + b·5 + c = 74
f(3) = 25·a + 5·b + c = 74...(5)
Subtracting equation (3) from equation (5), we get;
25·a + 5·b + c - (9·a + 3·b + c) = 74 - 71
16·a + 2·b = 3...(6)
Subtracting equation (1) from equation (2), we get;
4·a + 2·b + c - (a + b + c) = 68 - 59
3·a + b = 9...(7)
Multiply equation (7) by 2 and substract from equation (6) gives;
16·a + 2·b - 2 × (3·a + b) = 3 - 2 × 9
16·a + 2·b - 6·a - 2·b = 3 - 2 × 9
16·a - 6·a + 2·b - 2·b = 3 - 2 × 9 = -15
10·a = -15
a = -15/10 = -1.5
a = -1.5
From, 3·a + b = 9, we have;
3 × (-1.5) + b = 9
b = 9 + 4.5 =13.5
b = 13.5
From, a + b + c = 59, we have;
-1.5 + 13.5 + c = 59
c = 59 - (-1.5 + 13.5) = 47
c = 47
The quadratic equation becomes, y = a·x² + b·x + c = -1.5·x² + 13.5·x + 47
f(x) = y = -1.5·x² + 13.5·x + 47
For December, we have, x = 9, and f(x) = -1.5×9² + 13.5×9 + 47 = 47
The temperature, in December = 47 °F
ratios that are equivalent to 40:28
Answer:
10:7
Step-by-step explanation:
The system of inequalities,
x + y 2 10
is modeled in the graph below.
--x + y = -2
Select the region that contains solutions to the system of inequalities.
Solutions to the system of inequalities lie in one ofthe regions shown on the coordinate plane.
Region A
O Region B
O Region
O Region D
B
A
D
PLEASE HELPP ME
Answer:
wait you can message me if you want
btw can u make me the brainless huhu
2j^3-8j^2 please help
Answer:
Your answer is: [tex]2j^{2}(j-4)[/tex]
Factor [tex]2j^{2}[/tex]out of [tex]2j^{3} -8j^{2}[/tex]
Step-by-step explanation:
Hope this helped : )
4b + 3 = 2b + 13 Can someone please help me with this problem
Answer:
b = 5
Step-by-step explanation:
[tex]4b - 2b = 13 - 3 \\ 2b = 10 \\ b = 5[/tex]
The product of 17 x .67 is ?
Answer:
11.39
Step-by-step explanation:
Have a great day! :)
Please Help! need a step by step answer will give brainly
Answer:
If I know I will defiantly answer .but where is the question
I NEED HELP WITH THIS PLZ HELP ME WITH MATH! I"M GIVING 20 points for someone who answers it. PLZ HELP ME WITH MATH!
Answer: [tex]\frac{x^8}{256y^{20}}[/tex]
If the font is too small, it says x^8 all over top 256y^20 as one big fraction.
========================================================
Work Shown:
[tex]\left(\frac{5x^3}{20xy^5}\right)^4\\\\\\\left(\frac{x^2}{4y^5}\right)^4\\\\\\\frac{\left(x^2\right)^4}{(4^1)^4\left(y^5\right)^4}\\\\\\\frac{x^{2*4}}{4^{1*4}y^{5*4}}\\\\\\\frac{x^{8}}{4^{4}y^{20}}\\\\\\\frac{x^{8}}{256y^{20}}\\\\\\[/tex]
plz help asap!!!!!!!
Answer:
A
move the numbers around and you'll get it
At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. Which is the better deal? Explain your reasoning.
Answer:
The second vendor because when you purchase 6 liters, it costs less to get it from the second vednor.
Step-by-step explanation:
Compare the price at 6 liters.
3.80(3)= $11.40
$2.70(4)= $10.80
Which situation represents an example of a non-proportional relationship?
A. A restaurant charges $1.75 for each soft drink.
B. A cell phone company charges customers 10 cents per text sent or received.
C. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
D. A dog walker charges $10 to walk one dog for 30 minutes.
Option c is the correct answer. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
What is a proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. That constant is known as the "constant of proportionality".
So a non-proportional relationship is basically a line that does not cross the origin of a graph. So using the linear exhaustion of a line, y=mx+b, a proportional relationship would be something along the lines of y=mx+0 because b, which is the w intercept is 0. I
Having said that, here is the equation for a line:
a) would be y=1.75x (because it is only charging per drink, and nothing else, there is no b value or y-intercept). This means this is a
b) would be y=0.10x (because it is only charging per amount of texts, and nothing else, there is again no b value, so the y-intercept is 0, crossing the origin). (THIS IS ALSO NOT THE ANSWER)
c) y=20x+50 (x is the number of months, which then determine the amount of money you spend at the gym based on how many months you go there. Plus, you have to add in the cost of the gym membership as well, being 50$. So, in this case, because 50 is being added to the 20x, the b value or y-intercept would be 50.
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help T^T ion wanna fail this class
whats the slope to this
Answer:
-14/15
Step-by-step explanation:
(z^2 - 3z) (z + 1)
Answer:
z³ - 2z² - 3z
Step-by-step explanation:
(z² - 3z)(z+1) = (z²*z) + (z²*1) + (-3z*z) + (-3z*1) = z³ + z² - 3z² - 3z
= z³ -2z² - 3z
Answer:
Today : Saturday, 07 November 2020
Hour: 20.04 WIB (Indonesia)
_______________________________
(z² - 3z) (z + 1)
= z³ + z² - 3z² - 3z
= z³ - 2z² - 3z
PLEASEEEE HELPPP ME this is due today!!!
What is mZCAD?
O 80°
O 20°
O 80°
O 100°
O 110°
Answer:
The angle of CAD is 100°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so you will have to find the angle of CAB :
∠CAB + ∠ACB + ∠ABC = 180°
∠CAB + 80° + 20° = 180°
∠CAB + 100° = 180°
∠CAB = 180° - 100°
∠CAB = 80°
Next, you have to subtract it from 180° because straight line have a degree of 180°
∠CAD = 180° - 80°
∠CAD = 100°
What are the first three terms of the Arithmetic Sequence an = 11 – 3(n – 1)?
Answer:First three terms: 11,20,29 .
Step-by-step explanation:
Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).
I hope this is right
Jackson bought a new computer for $800. He put $135 down and got a student discount of $55 his mom gave him half of the balance for his birthday. How much does Jackson still owe for the computer?
Answer:
Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.
Step-by-step explanation:
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
- NK
- MK
- MF
- [tex]A_{AMNFD}[/tex]
Answer:
[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]
Step-by-step explanation:
According to the statement, we find the following inputs:
[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]MD = 9[/tex]
[tex]NF = 5[/tex]
Given than longer base and shorter base are parallel to each other, we conclude that:
[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]
[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]
[tex]\angle KND = 45^{\circ}[/tex]
[tex]\angle FND = 90^{\circ}-\angle KND[/tex]
[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)
[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]
[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)
[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)
[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)
If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:
[tex]DO = MO \approx 6.364[/tex]
[tex]NO = OF \approx 3.536[/tex]
The value of MK is obtained from the following relationship:
[tex]MK = \frac{MD-NF}{2}[/tex]
[tex]MK = \frac{9-5}{2}[/tex]
[tex]MK = 2[/tex]
And the value of KD is calculated from this expression:
[tex]KD = MD-MK[/tex]
[tex]KD = 9-2[/tex]
[tex]KD = 7[/tex]
Now by the Pythagorean Theorem we find that:
[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]
[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]
[tex]NK \approx 7.001[/tex]
And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:
[tex]MF = NO + DO \approx 7.001[/tex]
Lastly, the area of the isosceles trapezoid is determined by the following formula:
[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]
[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]
If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:
[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]
[tex]A_{AMNFD} = 49.007[/tex]
can someone graph y=x+4 i hate khan academy
Answer:
I hope this is good enough:
Step-by-step explanation:
I dis graph it just use demo's graphing system.
Approximately how long will it take for $700 to double if it is invested at 4% annual
interest, compounded continuously?
Round your final answer to the nearest whole year and do not label units.
Answer: 17 years
Step-by-step explanation:
Exponential equation for compund amount( compunded continuously):
[tex]A=Pe^{rt}[/tex] , where P= Principal value , r= rate of interest , t= time.
Given: A= 2P
r =4%= 0.04
To find : t
Substitute all values in the formula , we get
[tex]2P=Pe^{0.04t}\\\\\Rightarrow\ 2=e^{0.04t}[/tex]
Taking natural log on both sides
[tex]\ln2=\ln e^{0.04t }\\\\\Rightarrow\ 0.693147=0.04t\\\\\Rightarrow\ t=\dfrac{ 0.693147}{0.04}\\\\\Rightarrow\ t=17.3286\approx17[/tex]
hence, it will take 17 years (approx).
4b
6c for b = (-3) and c = 5
Answer:
Today: Friday, 06 November 2020
Hour: 10.15 WIB (Indonesia)
_______________________________
so,
6c = 6 × 5 = 30
4b = 4 × (-3) = -12
Example:
4b - 6c
= 4(-3) - 6(5)
= -12 - 30
= - 42
4b + 6c
= 4(-3) + 6(5)
= -12 + 30
= 18
Help me answer the question please
Answer:
A
Step-by-step explanation:
4x - 2 and 3x + 6 are alternate angles and congruent, thus
4x - 2 = 3x + 6 ( subtract 3x from both sides )
x - 2 = 6 ( add 2 to both sides )
x = 8
PLEASE HELP!!! GIVING BRAINLIST
If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14
Answer:
D. 14
make y the subject of the formula in equation 1 and then substitute it in equation 2
What is the range of the data? 2.3 4.5 6.7 1.1 11.6 4.5 11.7 8.5 3.2 6.7 7.9
Answer:
10.6
Step-by-step explanation:
range is the difference between the lowest and the highest number
example: the lowest number wold be 1.1 and the highest is 11.7 you need to subtract them and then you have your answer!!!
The range of the given set of data is 10.8.
The given data is 2.3, 4.5, 6.7, 1.1, 11.6, 4.5, 11.7, 8.5, 3.2, 6.7, 7.9.
We need to find the range of the given data.
What is the range of the data?The range is the difference between the highest and lowest values within a set of numbers. To calculate the range, subtract the smallest number from the largest number in the set.
From the given set of data, we can see that the lowest observation is 1.1 and the highest observation is 11.7.
Now, range=11.7-1.1=10.8
Therefore, the range of the given set of data is 10.8.
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Find the equation of the line shown.
Answer:
4y + x = 8
Step-by-step explanation:
firstly, we choose any 2 points on the line
point 1 = (0,2)
point 2 = (4,1)
x1 = 0, x2 = 4
y1 = 2, y2 = 1
from,
[tex] \dfrac{y2 - y1}{x2 - x1} = \dfrac{y- y1}{x- x1} [/tex]
[tex] \dfrac{1 - 2}{4 - 0} = \dfrac{y- 2}{x- 0} [/tex]
[tex] \dfrac{ - 1}{4} = \dfrac{y- 2}{x- 0} [/tex]
Cross multiplying,
-1(x) = 4(y - 2)
-x = 4y - 8
4y + x = 8
Help i give Brainest A metro car in New Orleans travels 4 miles in 3 minutes. If the relationship between distance, in miles, and time, in minutes, of the metro car is proportional which equation represents the relationship between distance, d, and time, t? i
Q1.is the given value of the variable , s, a solution to the inequality?s > -2.25; s = -2.21.yes 2.no
Q2.which value of the variable is a solution of the inequality?t > -7
1. -9
2. -8
3. -7
4. -6
Answer:
- 6
Step-by-step explanation:
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