The quotient is (6x + 1) and the remainder is (-7x + 1).
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 A cubic polynomial 24x³ - 14x² + 20x + 6 divided by 4x² - 3x + 5.
So, (24x³ - 14x² + 20x + 6)/(4x² - 3x + 5).
= (4x² - 3x + 5)(6x + 1) + (-7x + 1)/(4x² - 3x + 5) in rhe form N = DQ + R.
The same applies to the division of polynomials.
Learn more about polynomials here : brainly.com/question/2833285
#SPJ1
Distribution of toys : Is this different or just the division with remainder
Answer:
Step-by-step explanation:
20)63(3
-60
-------
3
so every children gets 3 toys but 3 toys are left which can be distributed among 3 children.
so 3 children get 1 toy more.
Hence 3 children get 3+1=4 toys (each)
Which statements are true about the figure? Check all that apply.
THE COM
5725
The figure is a triangular prism.
The figure is a rectangular pyramid.
ООО
The figure has 6 vertices.
The figure has 6 faces.
The figure has 9 edges.
Answer:
b took the test
Step-by-step explanation:
The true statements about the figure are (a) The figure is a triangular prism, (c) The figure has 6 vertices and (e) The figure has 9 edges.
What is Triangular Prism?Triangular prisms are three dimensional figure consisting of two triangular bases and three rectangular lateral faces.
Given that, a net has 3 rectangular faces and 2 triangular faces.
This must be a triangular prism by the definition of triangular prism.
The figure will not be a rectangular pyramid since the rectangular pyramid only has 1 rectangular base.
The number of vertices are 6, since there are three vertices for each triangle.
There are only 5 faces for the given net which is 3 rectangular faces + 2 triangular faces.
There are 3 edges each for two triangles forming 6 edges and there 3 edges for the rectangle, a total of 9 edges.
Hence the correct statements are (a), (c) and (e).
Learn more about Triangular Prism here :
https://brainly.com/question/16909441
#SPJ7
Your question is incomplete. The complete question is as follows :
Which statements are true about the figure? Check all that apply.
A net has 3 rectangular faces and 2 triangular faces.
a)The figure is a triangular prism.
b)The figure is a rectangular pyramid.
c)The figure has 6 vertices.
d)The figure has 6 faces.
e)The figure has 9 edges.
use the equation y=7x to complete the table what are the missing values
Answer:
your answer is correct
Step-by-step explanation:
7(2) = 14
7(4) = 28
Triangle FGH has vertices F(1, –5), G(6, 0), and H(1, 0). What is the approximate perimeter of this triangle?
The table describes the quadratic function h(x).
x h(x)
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22
What is the equation of h(x) in vertex form?
h(x) = (x + 2)2 − 3
h(x) = (x + 1)2 − 2
h(x) = (x − 1)2 + 2
h(x) = (x − 2)2 + 3
The quadratic equation that describes the function is
f(x) = x² + 4x + 1
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is the table that describes the quadratic function h(x) as follows -
{x} h{x}
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22
The quadratic equation is of the form given -
y = ax² + bx + c
For the point (0, 1), we can write -
1 = c ..... Eq{1}
For the point (1, 6), we can write -
6 = a + b + 1
a + b = 5 ...... Eq{2}
For the point (2, 13), we can write -
13 = 4a + 2b + 1
4a + 2b = 12 ...... Eq{3}
From Eq{2}, we can write -
a = 5 - b
So, the equation 3 can be written as -
4(5 - b) + 2b = 12
20 - 4b + 2b = 12
20 - 2b = 12
2b = 8
b = 4 ...... Eq{4}
then
a = 1 ...... Eq{5}
So, we can write the quadratic equation as -
f(x) = x² + 4x + 1
Therefore, the quadratic equation that describes the function is
f(x) = x² + 4x + 1
To solve more questions on quadratic equations, visit the link below -
brainly.com/question/22412845
#SPJ1
Solve on the interval [0,2pi): 1- cos0= 1/2
Using an inverse trigonometric function, we will find that the solution is:
θ = 1.047
How to solve that equation?Here we want to solve the equation:
1 - cos(θ) = 1/2
Such that θ ∈ [0,2pi)
Now let's return to our equation:
1 - cos(θ) = 1/2
1 - 1/2 = cos(θ)
1/2 = cos(θ)
Now we could apply the inverse cosine function to both sides, then we will get:
Acos(1/2) = Acos(cos(θ))
1.047 = θ
That is the solution.
Learn more about cosine functions:
https://brainly.com/question/8120556
#SPJ1
What is the midline of this function? y=
What is the amplitude of this function?
Define a function, g, to represent the behavior of the graphed function. g(a)= NO LINKS.
Answers:
Midline: y = 0Amplitude = 1.5Function: g(x) = 1.5sin(0.5x + pi/4)There are infinitely many possible ways to answer the third part.
===========================================================
Explanation:
The midline is the horizontal line that goes through the center of the sine curve. Visually we can see that is y = 0. Another way we can see this is to note how y = 0 is the midpoint of y = 1.5 and y = -1.5, which are the max and min respectively.
---------
The amplitude is the vertical distance from y = 0 to y = 1.5, and it's also the vertical distance from y = 0 to y = -1.5; in short, it's the vertical distance from center to either the peak or valley.
---------
The general format of a sine curve is
y = A*sin(B(x-C)) + D
where,
|A| = amplitudeB = variable tied with the period T, specifically B = 2pi/TC = handles the left and right phase shiftD = handles the vertical shifting, and y = D is the midline.In this case, we found so far that
|A| = 1.5 which could lead to A = 1.5B = 2pi/(4pi) = 0.5 since T = 4pi is the periodD = 0The only thing we're missing is the value of C, which is the phase shift.
Note the point (pi/2, 1.5) is one of the max points on this curve. Also, recall that sin(x) maxes out at 1 when x = pi/2
This must mean that the stuff inside the sine, the B(x-C) portion, must be equal to pi/2 in order to lead sin(B(x-C)) = 1.
So,
B(x-C) = pi/2
0.5(pi/2-C) = pi/2
pi/4 - C/2 = pi/2
4*( pi/4 - C/2 ) = 4*(pi/2)
pi - 2C = 2pi
-2C = 2pi - pi
-2C = pi
C = pi/(-2)
C = -pi/2
This allows us to update the function to get g(x) = 1.5*sin(0.5(x+pi/2)) which is the same as g(x) = 1.5sin(0.5x + pi/4)
This is one possible answer because we could have infinitely many possible values for C, due to sin(x) = 1 having infinitely many solutions.
Also, you could use cosine instead of sine. Cosine is just a phase shifted version and of sine, and vice versa.
pleasee help with these questions
Answer:
6. 3.14 7. 172.03 8. 78.54 9. 380.13 10. 19.63 11.28.27
Please help last math question please plz 50 pts
Answer:
33
Step-by-step explanation:
because there are 66 squares and 1/2 is shaded so 33
mark me brainliest mark me brainliest
In ΔSTU, the measure of ∠U=90°, US = 5.9 feet, and TU = 2.6 feet. Find the measure of ∠T to the nearest tenth of a degree.
Answer:
66.2°Step-by-step explanation:
ΔSTU is a right triangle.
US and TU are legs, SU is opposite to ∠T.
Use tangent to find the measure of ∠T.
tan ∠T = 5.9 / 2.6tan ∠T = 2.269m∠T = arctan (2.269) = 66.2° (rounded)Jessie pays $2 for each carnival ride plus $8
on food. His mom told him he could spend at
most $35. Write an algebraic inequality that
shows at most how many rides Jessie can
ride. Let x=number of rides he can get on.
You want to compare the ratios 3:12 and 7:28 to see if they're equal. You know that you need to compare the products of the extremes against the product of the means. Which two values are the means for this comparison? A. 3 and 7 B. 12 and 28 C. 3 and 28 D. 12 and 7
Answer:
Step-by-step explanation:
3:12 7:28
The means are the second and third terms in the proportion.
The extremes are the two outside terms.
12 and 7 are the means.
(3 and 28 are the extremes.)
So thre answer is D. 12 and 7.
Please help will mark Brainly
Answer:
371 children
Step-by-step explanation:
289*$2,5 + 371*$1,5 = $1279
If a circle has a radius of 7/4 cm, what is the diameter?
Responses
a) 3 1/2 cm
b) 7/8 cm
c) 1 3/4 cm
d) 2 1/4 cm
Answer:
Step-by-step explanation:
Answer:
Option A) [tex]3\frac {1}{2}[/tex]
Step-by-step explanation:
In order to find the diameter you need to multiply the radius x 2
Over here the radius is given as 7/4cm
But the diameter is
[tex]\frac{7}{4} X\frac{2}{1}[/tex] = [tex]\frac{7}{2}[/tex]
And when we simply the mixed fractions we only get one possible answer
which is [tex]3\frac{1}{2} = \frac{7}{2}[/tex] Option A)
A small town surveyed 250 adults,
150 of the adults who
180 of whom were parents, about whether a park should be expanded The results showed that
were parents and 40
of the adults who were not parents thought the park should be expanded.
Use this information to complete the two-way table.
Enter your answer by filling in the boxes to complete the table.
Should the park be expanded?
Yes
No
Parents
Not parents
According to the findings, 40 of the adults who were not parents and 150 of the adults who were parents believed that the park should be expanded.
The park be expanded?250 adults, 180 of whom are parents, leaving 70 adults who are not parents (250 - 180). According to the findings, 40 adults without children and 150 adults with children said the park should be expanded. Thus, 180 – 150 = 30 parents.
Parents: YES OR NO Not parents: 40 | 30 of 150
In this exercise, we must determine the values of the voters who supported expanding the parking lot, which requires that we:
In fact, parents will be 150, not 40.
Parents won't be 30 in total; they'll be 40. Instead, a park should be built to accommodate 250 persons, 180 of whom were parents.
The park should be extended, according to 40 of the people who weren't parents.
To learn more about adults refer to:
https://brainly.com/question/30211748
#SPJ1
Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20-to-34 age group are approximately normally distributed with μ = 110 and σ = 25. What percent of people aged 20 to 34 have IQs between 125 and 150?
The percentage of people aged 20 to 34 that have IQs between 125 and 150 of people aged 20 to 34 have IQs between 125 and 150 is 21.94%
What is percentage?Percentage simply means a proportion of the number as a fraction of 100
What percent of people aged 20 to 34 have IQs between 125 and 150?
Let X = Scores on the standard IQ test for the 20 to 34 age group
This implies that X ~ Normal(x=110, б² = 25)
The z-score probability distribution for the normal distribution is given by; Z = (x-ц)/б ~ N(0,1)
Recall that population mean = 110 and standard deviation = 25
Now, the percent of people aged 20 to 34 have IQs between 125 and 150 is given by = P(125 < X < 150) = P(X < 150) - P(X 125)
P(X < 150) = P( < ) = P(Z < 1.60) = 0.9452
P(X 125) = P( ) = P(Z 0.60) = 0.7258
The above probability is calculated by looking at the value of x = 1.60 and x = 0.60 which has an area of 0.9452 and 0.7258.
Therefore, P(125 < X < 150) = 0.9452 - 0.7258 = 0.2194 or 21.94%
Learn more about percentages on https://brainly.com/question/29306119
#SPJ1
Please answer NOW! I need answers! First person gets Brainliest.
Answer:
3 and 4 is correct
Step-by-step explanation:
that's the only 2 numbers that is correct
Complete this division sentence.
5884÷94 =
R
The remainder of the given division 5884/ 94 is 56 and hence the complete sentence is 5884/94 = 62 + 56/94.
What is remainder and how to find a remainder?The amount that remains after division is complete is known as a remnant. Simply divide the number by another number that is one of its multiples to obtain the remainder.
The division of any number can be written as follows:
a/n = q + r/n
where, a is the dividend, n is the divisor, r is the remainder and q is the quotient.
When we divide the number 5884 by 94 using the long division method the quotient is 62 and the remainder is 56.
Hence, the complete sentence is 5884/94 = 62 + 56/94.
Learn more about division here:
https://brainly.com/question/21416852
#SPJ1
what is the correct way to read 201,445
Answer:
Step-by-step explanation:
two hundred one thousand four hundred forty five
Answer:
two-hundred one thousand four hundred-forty-five
Hope this helps!
Mark me brainliest if I'm right :)
Minimum or maximum value
The minimum is the smallest value in the data set. The maximum is the largest value in the data set.
To find the minimum or maximum value of a function:We will set the first derivative of the function to zero and solve for x to get the critical point. If we take the second derivative or f''(x), then we can find out whether this point will be a maximum or minimum. If the second derivative is positive, it will be a minimum value.
A minimum or a maximum is called an extreme point. A local extreme point is the smallest or largest value in its neighborhood. If it is also the smallest or largest at the entire domain of the function, it is called a global extreme point. The local minima and maxima can be found by solving f'(x) = 0.
Learn more about maxima and minima at:
brainly.com/question/82347
#SPJ1
Complete question is: What is the difference between Minimum or maximum value?
Which statement is true based on a graph of the line that passes through the given coordinates? (2, 1), (3,3), (5,7), (6,9) Please help
A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B. The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D. The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin. Option C
What is a proportional relationship?We can say that a relationship is proportional when the relation does lead to a straight line graph and the graph would have to be able to pass through the origin.
Hence, even if we have a straight line graph but the graph does not pass through the origin of the graph then we can not say that the relationship that is existing between the coordinates that have been shown is proportional.
Learn more about proportional relationship:https://brainly.com/question/29765554
#SPJ1
Drag the names to match the geometric terms as shown in the diagram.
Just so you know, there's no diagram
Help!!!!!!!!!!!!!!!!!!!!!
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
CL congruent with CM
WX congruent with YZ
32 = 32
13. if 4/5 x blank=2/5 what is blank?
Answer:
1/2
Step-by-step explanation:
4/5x=2/5
x=(2/5)/(4/5)
x=(2/5)(5/4)
x=2/4
x=1/2
Josh must submit 4 paintings as part of his
application to art school. If he has 25 to choose
from, how many ways can he pick 4?
Answer: 4,096
Step-by-step explanation:
There are 12650 ways for pick 4 paintings.
Given:
He has 25 to choose.
No. of ways he can pick 4 in 25 = 25 C 4.
[tex]\frac{25!}{4!(25-4)!} =\frac{25}{4!\times2!} =12650\\[/tex]
Therefore, 12650 ways for pick 4 paintings.
Learn more about this:
https://brainly.com/question/14432653
#SPJ2
Expand and simplify
(X-2)(3x+3)(x+1)
Answer:
5x+2
Step-by-step explanation:
Is the answer 650 or 277 ?
Answer:
Step-by-step explanation:
A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table.
x –4 –1 0 1 5 8 12
g(x) 0 3 1 2 0 –3 0
If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)? (5 points)
As x→–∞, g(x)→∞ and as x→∞, g(x)→∞.
As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
As x→–∞, g(x)→ –∞ and as x→∞, g(x)→∞.
As x→–∞, g(x)→∞ and as x→∞, g(x)→–∞.
Examining the polynomial function g(x) as given in the table the end behavior is
As x → –∞, g(x) → –∞ and as x → ∞, g(x) → ∞.What is end behavior?The end behavior of function typically says the characteristics of the function at the ends
How to find the end behavior of polynomial functionThe given table when examined shows that there was three zeros hence the graph is that of odd function
The end behavior of an odd function with positive leading coefficient is
x ⇒ ∞ f(x) ⇒ ∞: as x tends to positive infinity the function tends to positive infinity
x ⇒ -∞ f(x) ⇒ -∞: as x tends to negative infinity the function tends to negative infinity
Learn more about end behavior here:
https://brainly.com/question/28954897
#SPJ1
solve number 13 please
The new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 9t^4 + 3t² + 105 .
What is expression ?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
An algebraic expression is made up of a number of variables, constants, and mathematical operations. We are aware that variables have a wide range of values and no set value. They can be multiplied, divided, added, subtracted, and other mathematical operations since they are numbers. as in 3x Plus 4.
Given is that during a 20-year period, G and I can be modeled by the following equation (where t is the time in years) :
G = 6t^4+ 3t³ – 2t² + 5t + 60
I = 3t^4 - 3t³ + 5t² - 5t + 45
where {G} is the number (in billions) of new green tea sales and {I} be the number in billions of new fruit juice sales.
A new model {A} for the total number of new green tea and fruit juice sales can be written as -
{A} = {G} + {I}
{A} = 6t^4+ 3t³ – 2t² + 5t + 60 + 3t^4 - 3t³ + 5t² - 5t + 45
{A} = 9t^4 + 3t² + 105
Therefore, the new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 9t^4 + 3t² + 105
To learn more about expression from the given link
https://brainly.com/question/15775620
#SPJ1
Function Representations
In this activity, you will use multiple representations of relationships to identify key features and solve problems.
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information:
the amount of plant food remaining in the container after each day’s feeding
the height of the plant over time
Answer:
See joint picture.
Step-by-step explanation:
The study lasts 6 days. Since the amount of plant food decreased an equal amount each day, and since the whole 72 millimeters were used, it means that plants consumed 72/6 = 12 millimeters daily.
All the results given come from this justification.
The required consumption of each day is 12 mm.
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information
The statistic is the study of mathematics which deal with relations between comprehensive data.
Since
observation run for 6 days and have 72 mm of food has been fed each day.
at the end of 6 day food remains 0 mm i.e.
Rate at which food has been fed for each day is given by
= 72/6 = 12
12 mm of food has been fed every day for to the 6 days.
At day 0 we have 72 mm of food
At day 1 we have 60 mm of food
similary for
At day 6 we have 0 mm of food
Thus the graph has been attached below for the values of x
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ2