Answers
Given:
The function are:
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
To find:
The function (f-g)(x).
Solution:
We have,
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
We need find (f-g)(x).
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-(2x-3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-2x+3[/tex]
On combining like terms, we get
[tex](f-g)(x)=2x^3+5x^2+(-6x-2x)+(-7+3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-8x-4[/tex]
Therefore, the correct option is B.
Related Questions
Notes:
A Percent is the____
of a number to 100. Percents can be expressed _____
with a denominator of 100.
as
Answers
Answer:
1. RATIO
2. ONLY
I Hope This Helps You.
Which is greater 1/4 or .25
Answers
Answer:
they are both the same equal
Step-by-step explanation:
can i get brainliest
One circle has a diameter of 6 inches. A second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?
A 2:3
B 1:6.4
C 1:16
D 1:64
Answers
Answer:
Step-by-step explanation:
d₁ = 6 inches
r₁ = 3 inches
area = πr₁² = 9π in²
d₂ = 24 inches
r₂ = 12 inches
area = πr₂² = 144π in²
ratio of areas = (9π)/(144π) = 9/144 = 1/16
Suppose that 3\%3%3, percent of over 200{,}000200,000200, comma, 000 books borrowed from a library in a year are downloaded. The librarians plan to take an SRS of 757575 books from the population of borrowed books to see what proportion of books sampled are downloaded. What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books
Answers
Answer:
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
3% of books borrowed from a library in a year are downloaded.
This means that [tex]p = 0.03[/tex]
SRS of 75 books.
This means that [tex]n = 75[/tex]
What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books
By the Central Limit Theorem
Mean: [tex]\mu = p = 0.03[/tex]
Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197[/tex]
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
If a figure is dilated by a factor of 1.5, the area of the figure will change by a factor of
Answers
Answer:
The figure will change by a factor of 2.25.
Step-by-step explanation:
When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.
what does math means
Answers
Answer:
It means mathematics.
Lamoo thats wht it said in go-ogle
Step-by-step explanation:
Justin says that the value of the expression is 450. How did he get that answer?
8+13+4×1/3(27÷1/2).
Answers
Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.
Answers
Check the attachment below, it's self explanatory.
Which phrases can be represented by the algebraic expression 2x + 1? Check all that apply
Answers
Answer:
Ummm
Step-by-step explanation:
–9x + 9y = 9
y = –7
(
,
)
Answers
Answer:
x=-8
(-8,-7)
Step-by-step explanation:
–9x + 9y = 9
–9x + 9(-7) = 9 (y=-7)
-9x-63=9
Both side +63
-9x=63+9
-9x=72
Both side divide -9
x=-8
y=-7
(-8,-7)
What dose that sing mean before the square root mean and also what is the answer
Answers
The thing before the square root means that the answer can be positive and negative.
Which part of a flower grows into the fruit?
the stigma
the anther
the ovule
the ovary
Answers
Answer:
ovary
Step-by-step explanation:
Help please!!! Find x and Y
Answers
Answer:
x = 40
y = 15
Step-by-step explanation:
Given is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60°.
Therefore,
(x + 20)° = 60°
x + 20 = 60
x = 60 - 20
x = 40
4y = 60
y = 60/4
y = 15
ASAP PLS HELP MARKING BRAINLIEST WITH POINTS PLSSSS
Answers
Which system has no solution? A b c d
Answers
Help me please, Due now.
Answers
Crystal receives a monthly salary of $3,980. Find her earnings per year and earnings per week.
Answers
Answer:
per year: $47,760 per year
per week: $918.46 per week
Step-by-step explanation:
$3980 per month x 12 months = $47,760 per year
$47,760 per year divided by 52 weeks = $918.4615384615
Since we're talking money, let's round off our answer to the hundredths place ($918.46 per week)
Double check our answer (918.46 x 52 = 47,760) great!
Answer:
47760 per year
918.46154 per week
Step-by-step explanation:
$3,980 x 12= $47760
$47760/52= $918.46154
Find c.
Round to the nearest tenth:
Answers
Answer:
it'd be 95
Step-by-step explanation:
that's the nearest 10th
When a 15%, 38%, and 44% series of discounts are applied, the total markdown rounded to the nearest percent is
Answers
Answer: 97%
Step-by-step explanation:
15% + 38% + 44% = 97%
find the sum of the fractions below 2 1 over 2 + 2 1 over 3
Answers
Answer:
[tex] \frac{105}{6} [/tex]
Step-by-step explanation:
[tex] \frac{21}{2} + \frac{21}{3} [/tex]
lowest common multiple of 2 and 3 is 6
21×3 = 63
21×2= 42
they are now going to have the same denominator of 6
[tex] \frac{63}{6} + \frac{42}{6} [/tex]
now u are just gonna add the neumerators and keep the denominator
[tex] \frac{105}{6} [/tex]
how do you solve this equation:
7-3 2/3
Answers
Answer:
5
Step-by-step explanation:
Using the order operations, we go left to right, multiplying 3 by 2/3, giving us 2. Then we subtract 7 - 2 = 5.
Solve for x.
x² = 9
x=±3
x=±4.5
x=±18
x=±81
Answers
Espaol
A math class has 7 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both girls?
Write your answer as a fraction in simplest form.
M
Answers
Answer:
61%
Step-by-step explanation:
7g+3b= 7th grade
4g+4b= 8th grade
70% chance of a girl getting picked from 7th grade
50% chance of a girl getting picked from 8th grade class
11g+7b= both classes
about 61% chance for both classes to be a girl picked?
which is more, 6 miles or 31,678 feet ?
Answers
Answer: 6miles
Step-by-step explanation: 6miles = 31680ft so 31680>31678
Pls help I’ll brainlest ASAP
Answers
Answer:
-9
Step-by-step explanation:
-6 Divided By 2/3 = -9
2/3 multiplied by -9 = -6
Your answer will be z = -6/3 or -9
If its wrong I tried-
Which type of triangle is formed given the following angle measurements?
Angle 1: 50 degrees
Angle 2: 110 degrees
Angle 3: 20 degrees
Answers
Obtuse = an angle over 90
Scalene = three different angles
n electric vehicle has a battery pack that is made up of 10 individual cells. With a 95% probability, we know that any given cell will last at for least 10,000 charge-discharge cycles. Assuming that the failure of any given cell in the battery pack does not depend, in any way, on the performance of any other cell in the battery pack, what is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
Answers
Answer:
0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
Step-by-step explanation:
For each cell, there are only two possible outcomes. Either it will least for at least 10,000 charge-discharge cycles, or it will not. Cells are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10 individual cells.
This means that [tex]n = 10[/tex]
95% probability
This means that [tex]p = 0.95[/tex]
What is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
This is P(X = 10).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]
0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles
Select the correct equation and correct answer to
solve for x using the triangle below.
Q
L
K
2x - 15
R
Р P.
2x - 8
Answers
Answer:
11
Step-by-step explanation:
LK = 1/2RP
theorem: straight line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half the length of the third side.
LK = 2x - 15 ; RP = 2x - 8
2x - 15 = 1/2(2x - 8)
2x - 15 = 2x - 8/2
2x - 15 = x - 4
Collect like terms and simplify
x = 11
Which expression has the same value as -4(5 - x)?
A. -4.5 + 4.x
B. -4.5 - 4.x
C. (-4 + 5).(-4 + ( - x))
D. (4 - 5)(-4 - x)
Answers
-4(5-x)
= (-4•5) + (-4•-x)
= -20 + 4x
= 4x-20
Raj is 3 inches taller than Howard. Let h represent Howard’s height. Write an algebraic expression to represent Raj’s height.
Answers
Answer:
h + 3
Step-by-step explanation:
Since Raj is 3 inches taller than Howard (h), Raj would be h + 3 inches taller than Raj, giving you your answer.
Answer:
h + 3
Step-by-step explanation:
h + 3
3 = they are 3 inches TALLER which means you need to add 3
h = Howards height
So all you would need to do is add Howards age by 3, and you will get Raj's height. They said that " Raj is 3 inches taller than Howard", so that means when you get Howard (h) you would need to add it by 3 (3 inches taller), and you will be able to get Raj's height.
Hope this helped!
Have a supercalifragilisticexpialidocious day!