Answer:
1/5[8x³ –7x² –21x + 18]
Step-by-step explanation:
Let the polynomial be:
ax³ + bx² + cx + d
Where:
a => is the coefficient of x³
b => is the coefficient of x²
c => is the coefficient of x
d => is the constant term.
From the question given above,
Coefficient of x² (b) = a – 3 ..... (1)
Coefficient of x (c) = 3b ...... (2)
Constant term (d) = 2 + a ..... (3)
Sum of coefficient (a + b + c) = –4
a + b + c = –4
b = a – 3
c = 3b = 3(a – 3)
a + b + c = –4
a + (a – 3) + 3(a – 3) = –4
a + a – 3 + 3a – 9 = –4
Collect like terms
a + a + 3a = –4 + 3 + 9
5a = 8
Divide both side by 5
a = 8/5
Substitute the value of a into equation (1)
b = a – 3
a = 8/5
b = 8/5 – 3
b = (8 – 15)/5
b = –7/5
Substitute the value of b into equation (2)
c = 3b
b = –7/5
c = 3(–7/5)
c = –21/5
Substitute the value of a into equation (3)
d = 2 + a
a = 8/5
d = 2 + 8/5
d = (10 + 8)/5
d = 18/5
SUMMARY:
a = 8/5
b = –7/5
c = –21/5
d = 18/5
Thus, the polynomial:
ax³ + bx² + cx + d
8/5x³ + (–7/5)x² + (–21/5)x + 18/5
8/5x³ –7/5x² –21/5x + 18/5
1/5[8x³ –7x² –21x + 18]
workout the following divisions:
Answer:
I think this is the same as yesterday.
What is the end behavior for the graph of the function
f(x)=9/10 log [-(x + 9)] + 10?
Answer:If you draw a graph or look it up on Desmos, it curves down around y = 10. It only hits the second and third quadrant. B is the only situation that describes this.
Step-by-step explanation:g
When dealing with word problems and linear equations, what does the y-intercept represent and how is the slope defined?
a.
y-intercept represents the final value, slope is increasing
c.
y-intercept represents the starting value, slope is the rate of change
b.
y-intercept represents the final value, slope is decreasing
d.
y-intercept represents the starting value, slope is decreasing
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
y-intercept represents the starting value, slope is the rate of change
slope is rise/run
Answer:
C is correct! :D
Step-by-step explanation:
Edge nuity 2021
Determine the equation of circle A.
(x - 1)2 + (y + 2)2 = 9
(x + 1)2 + (y-2)2 = 9
(x-1)2 + (y + 2)2 = 3
(x + 1)2 + (y-2) = 3
I'm not sure but if you have photomath or Microsoft mathematics use it to solve your problem
Amir has $200 budget to spend on a graduation party for his son he already has purchased $122 worth of drinks and party supplies he wishes to buy chicken pizza or subs for the main course prices including tax are shown below
Answer: C, D, and E
Step-by-step explanation:
200-122=78 remaining
A: 7*11.75= 82.25
B: 10*11.75= 117.50
C: 9*6.80=61.20
D: 11*6.80=74.80
E: 70*1.10=77.00
F: 71*1.10=78.10
Only C, D and E are below the dollars remaining in the budget.
pleeeaassseee brainliest to first person
Answer:
B. 128
Step-by-step explanation:
Answer:
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
h²=100²+80²
h²=10000+6400
h=√16400=128.06m
128m is the required answer.
Help asap i will give brainliest
Answer:
It will be C.
Step-by-step explanation:
Think of the fraction as a division statement. First we have x, at the top, then Y at the bottom.
Answer:
C
Step-by-step explanation:
x/y is the same as x ÷ y because the slash sign (/) is the same as the divided sign (÷)
Hope this helps =]
Last year, Ahmad opened an investment account with $5400. At the end of the year, the amount in the account had increased by 7.5%. How much is this
increase in dollars? How much money was in his account at the end of last year?
Answer:
Step-by-step explanation:
The increase was
5400(0.075)=$405
The money in the account was
5400+405=$5805
A student received a coupon for 12% off the total purchase price at a clothing store. Let b be the
original price of the purchase. Use the expression below for the new price of the purchase. Write an
1. equivalent expression by combining like terms.
b-0.12b
Answer:
the equivalent expression is 0.88(x)
Step-by-step explanation:
Given that
There is 12% off on the total purchase price
Based on the above information
The expression that used the given terms i.e.
b - 0.12b
i.e.
1 - 0.12
= 0.88(x)
Hence, the equivalent expression is 0.88(x)
what is the answer of 17x12
Answer:
204
Step-by-step explanation:
17x12=204
If Siny = x Sin (a+y). Prove that
dy/dx=[Sin²(a+y)]/Sina
Answer:
Use Trigonometric formulae to simplify expressions
Step-by-step explanation:
Re-order to group the x and y,
Sin(y) / Sin(a+y) = x
to differentiate apply d/dx to both sides
[tex]\frac{d}{dx}[/tex]Sin(y) / Sin(a+y) = [tex]\frac{d}{dx}[/tex]x
use division rule on left side which will give
[tex]\frac{dy}{dx}[/tex]Cos(y)Sin(a+y) - [tex]\frac{dy}{dx}[/tex]Cos(a+y)Sin(y) / Sin²(a+y) = 1
Group them so dy/dx is on the left hand side:
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)Sin(a+y) - Cos(a+y)Sin(y)
Apply trigonometric sum formula to expand Sin(a+y) and Cos(a+y),
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)[Sin(a)Cos(y) + Cos(a)Sin(y)] - Sin(y)[Cos(a)Cos(y) - Sin(a)Sin(y)]
Simplify it
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (Cos²(y) + Sin²(y))(Sin(a))
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (1)(Sin(a))
Researchers published a study in which they considered the incidence among the elderly of various mental health conditions such as dementia, bi-polar disorder, obsessive compulsive disorder, delirium, and Alzheimer's disease. In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study. Calculate the probability that fewer than 320 out of the n
Answer:
The step-by-step procedure to solve this question is given, using the normal approximation to the binomial distribution.
Step-by-step explanation:
We use the normal approximation to the binomial distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study.
This means that [tex]p = 0.45[/tex]
Mean and standard deviation for the approximation, for a sample of n:
[tex]\mu = E(X) = np = 0.45n[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{0.45*0.55n}[/tex]
Calculate the probability that fewer than 320 out of the n
Using continuity correction, this is [tex]P(X < 320 - 0.5) = P(X < 319.5)[/tex], which is the pvalue of Z when X = 319.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{319.5 - 0.45n}{\sqrt{0.45*0.55n}}[/tex]
Just have to replace the value of n, find Z, and then find its pvalue.
How can I prepare for the math sat as someone who really struggles to understand math.. videos aren’t really helping
Answer:
i could tutor you
Step-by-step explanation:
Answer:
Khan Academy. Just do some work on different topics you have learned. Brush up on it. They have practice problems, assessments, and assignments. If you need help they have hints and videos.
I'm terrified of the SAT but i have to take the Pre SAT soon and i haven't been learning anything with online school.
Step-by-step explanation:
Exams are approaching and Helen is allocating time to studying for exams. She plays for the very successful women's lacrosse team and must schedule her studying around lacrosse practices and play-off games. She thinks that with the appropriate preparation, she has a 70% chance of getting an A in Marketing. She also believes that this chance will decrease to 60% if the lacrosse team makes the play-offs. Are getting an A on the exam and being in the lacrosse play-offs independent events?
Answer:
No, there events are dependent, because the change of getting an A in Marketing decreases if the lacrosse team makes the playoffs.
Step-by-step explanation:
Independent events:
Two events are said to be independent if one event happening, or not, does not change the probability of the other event happening.
In this question:
The change of getting an A in Marketing decreases if the lacrosse team makes the playoffs, which implies that the events are dependent, an the answer is no.
I need this quickly Please. Create a second equation so the system has no solutions. y=3/4x-4
Answer:
y = 3/4x + b (b≠ -4)Step-by-step explanation:
The system of linear equations has no solution when the lines are parallel.The lines are parallel when they have same slopes and different y-intercepts.Given line has slope 3/4 and y-intercept -4
The other line should be:
y = 3/4x + b, where b is any number different from -4welp me someone this iready is for a grade.
Answer: 1920 cubic centimeter
Step-by-step explanation:
L*W*H for both and add
8*10*10=800
8*10*14=1120
800+1120=1920 cubic centimeters
How many 1/6 pound servings are in 10 pounds of chicken ? Pls help
Answer:
60
Step-by-step explanation:
1/6 * 60 = 60/6
60/6 = 10/1 = 10
The number of 1/6 pound servings in 10 pounds of chicken is; 60
Division of fractionWe are required to determine how many 1/6 pound servings are in 10 pounds of chicken.
Hence ; we have;
10 ÷ 1/610 × 6/1= 60.
Read more on divisions;
https://brainly.com/question/1622425
What is equivalent to the equation y=3x+z/4?
If x = 13, how could the angles be classified? Are the angles complementary or supplementary?
Answer:
To be complement sum of angle must be 90°
But to be supplement sum of angle must be 180°
Step-by-step explanation:
PLEASE SOMEONE ANSWER A REAL ANSWER WILL GIVE BRAINLIST
Answer:
a I think please be right
Why is the equation
46 1,032
X +
55
not the equation of a line of best fit for the data set below?
55
Height (in.)
42
Arm span (in.)
41
43
55
45
52
48
49
49
49
52
53
59
60
45
44
44
45
60
57
A. The slope of the line is negative, but the data set has a positive correlation.
B The slope of the line is positive, but the data set has a negative correlation,
1.032
Answer:
not the equation of a line of best fit for the data set below? 55. Height (in.) 42. Arm span (in.) 41 43 55 45 52 48 49 49 49 52 53 59 60 45 44 44
Step-by-step explanation:
Answer:
c it is not d !!!!!!!!!!!!!
Step-by-step explanation:
can you give me brainliest
PLEASE HELP
ASAPPPPPP
Which of the following segments is a diameter of O?A. OD
B. DB
C. АС
D. AB
Answer:
AB is the diameter,,,,,,,,,
Yes or no
Just pick one
Answer:
Yes
Step-by-step explanation:
La torre de pisa tiene una altura aproximada de 56m. Actualmente, la torre se separa de la vertical una distancia de 3,9m. halla la longitud de la vertical desde la cima de la torre hasta el suelo.
con procedimiento porfavor.
Answer:
Raíz cuadrada de (3.9)^2+(56)2
Step-by-step
C^2= a^2+b^2
Sabes que la c es la distancia del punto más alto de la Torre hasta donde llega tu vista
OMG PLEASE HELP MEEEEEEE
Which expression could represent the additive inverse property?
A) −9 + 0
B) −9 −9
C) −9 + 1
D) −9 + 9
A science teacher shares 32 beakers equally between 5 students. The number of beakers that each student gets lies between what two whole numbers?
8 and 9
4 and 5
6 and 7
3 and 4
Answer:
6 and 7
Step-by-step explanation:
5*6=30 and there is no other 5 on the board and i just took that test and i got it right
please mark brainiest
Answer:
C or 6 and 7
good luck!
A circular park has a circumference of 94 ft. find d, the diameter of the garden in feet
Answer:
94 / π = 29.9211293...
Step-by-step explanation:
brainliest plz
Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary. r = 2m
The answer is 12.57
But rounded to the nearest tenth is 12.6
Y’all help meeeee :(
6-4x is Less than or equal to 26