Answers
The answer to this composite function is 205.
What is a composite function?
Function composition is an operation that takes two functions, f and g, and creates a function, h, that is equal to g and f, such that h(x) = g.
Main Body:
f(x)= 3x-1 , g(x)= 4[tex]x^{2} \\[/tex]+9
now we have to insert the value of f(x) in place of x in g(x)
So (g o f) = [tex]4(3x-1)^{2}+9\\[/tex]
Value of (g o f)(-2)= [tex]4(3(-2)-1)^{2} +9[/tex]
=4(-7)²+9
= 205
Hence the value of (g o f) (-2)= 205.
To learn more about composite function click on the link below.
https://brainly.com/question/3256461
#SPJ13
Related Questions
The figure below is rotated 180° counterclockwise. What are the coordinates of the image of point W after this transformation?
Answers
The coordinates of the image of point W after a rotation of 180° counterclockwise are W'(-2,-5).
What is graph transformation?The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.
The coordinates of the given point W are W(2,5).
The coordinate rule for a 180°counterclockwise rotation is:
(x,y)→(-x,-y)
Substitute (x,y) = (2,5) into the above coordinate rule:
(2,5) → (-2,-5)
Hence, the coordinates of the image of point W after a rotation of 180° counterclockwise are W'(-2,-5).
To learn more about graph transformation, click here:
https://brainly.com/question/10059147
#SPJ1
3a+3.8 is equal to. For a=1.5
Answers
Step-by-step explanation:
3a + 3.8 is equal to what when a=1.5?
substitute in 1.5 for a:
3(1.5) + 3.8
3(1.5) + 3.8
4.5 + 3.8
= 8.3
1. Substitute a is 1.5 - 3a ~ 3(1.5)
2. Solve 3 x 1.5 to get 4.5
3. Add 4.5 and 3.8 to get 8.3
Hope this helps!
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answers
The value [tex]x=66[/tex] and [tex]2x=132[/tex] that make line m parallel to line n.
What is corresponding angle?According to the definition of corresponding angles, when two parallel lines cross a third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.Geometry and the definition of the appropriate angles allow us to state the following:Parallel lines m and n are shown. we have two parallel lines as a result.Lines m and n cross at line 3. As a result, when parallel lines intersect, we can see that angles m and n occupy the same relative position in the intersection region: the upper right side angles.As a result, it appears that our definition of equivalent angles is reasonable. Angles m and n are therefore said to be equivalent angles.Therefore,
∠132°=∠2x°
[tex]\frac{132}{2} =66[/tex]
hence, x=66°
To learn more about corresponding angle, refer to
https://brainly.com/question/28769265
#SPJ1
Each day, Caleb feeds his horse 2.25 lb of oats. He also feeds it hay. The weight
of the hay is 6.5 times the weight of the oats. What is the combined weight of
the oats and the hay Caleb feeds his horse in one week?
Answers
Answer:
102.375
Step-by-step explanation:
hope it helps :)
multiply 6.5 x 2.25, get 14.625
multiply 14.625 x 7, answer is 102.375
0.438, 44%, 4/9, 9/20 out of any number what would go in between the first and second number limit to the thousandths place
Answers
The number that will go in between 0.438 and 44% in the thousandth place is 9 and the number is
0.439How to find that will go between 0.438 and 44%This is found by converting all the given number to decimal
0.438
the thousandth place has number 8
44% = 0.440
The thousandth place has number 0
4/9 = 0.44444
this is greater than the two numbers and hence cannot go in between them
9/20 = 0.45
this is greater than the two numbers and hence cannot go in between them
checking the two numbers 0.438 and 0.440 the number that can go in between them is 0.439
9 in thousandth place is 0.009
Learn more about decimal at:
https://brainly.com/question/29350765
#SPJ1
The sum of three consecutive even numbers
is 48. What are the smallest of these
numbers?
Answers
The smallest number from the sum of three consecutive even numbers is 14.
Given, The sum of three consecutive even numbers is 48.
we are asked to determine the smallest number of the numbers.
Let:
x= the 1st con.even number
x+2=the 2nd con.even number
x+4=the 3rd con.even number
Add the terms and equate it with the total, 48
x+(x+2)+(x+4) = 48
simplify
x+x+2+x+4=48
combine the like terms.
3x+6=48
3x = 48-6
3x=42
x=42/3
x=14
the three numbers are:
x = 14
x+2 = 14+2 = 16
x+4 = 14+4 = 18
smallest number of the three numbers = 14
Hence we get the smallest number as 14.
Learn more about Consecutive numbers here:
brainly.com/question/10853762
#SPJ9
Write a unit rate for the situation.
$12.50 for 5 ounces
Answers
A division is a process of splitting a specific amount into equal parts. The unit rate for $12.50 for 5 ounces is $2.5
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
$12.50 for 5 ounces
We need to find for a unit rate.
For this we need to use division. We have to split $12.50 among 5 ounces.
12.50 as Divisor and 5 as dividend.
Twelve point five zero divided by five
$12.50/5
2.5
Hence the unit rate for $12.50 for 5 ounces is $2.5
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ1
Angles A and B are supplementary. Determine the measure of angle A if the measure of angle B is 121.3°.
238.7°
31.3°
53.7°
58.7°
Answers
The required measure of angle m ∠A is 58.7° which is the correct answer would be an option (D).
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.
Angles A and B are supplementary.
We have been given that m angle ∠B= 121.3°,
To determine the measure of angle A if the measure of angle B is 121.3°.
As per the property supplementary angles,
m∠A + m ∠B = 180°
m∠A + 121.3 ° = 180°
m ∠A = 180° - 121.3°
m ∠A = 58.7°
Therefore, the required measure of angle m ∠A is 58.7°
Learn more about supplementary angles here:
brainly.com/question/3027144
#SPJ1
PLEASE HELP! WILL GIVE BRAINLIEST IF IT IS CORRECT
Answers
The polynomial function of least degree with leading coefficient 1 and having zero at the given points is, [tex]f(x) = x^3-3x^2+\sqrt{5}x^2 +2x-\sqrt{5} x[/tex].
What is polynomial?
A polynomial is an expression in mathematics that solely uses the operations of addition, subtraction, multiplication, and powers of positive-integer variables. It consists of indeterminates and coefficients. The polynomial x^2 + 4x + 7 is an illustration of one with a single indeterminate x.
From the given polynomial, the least degree polynomials are,
f(x) = x^3 -5x^2 + 3x - x
[tex]f(x) = x^3-3x^2+\sqrt{5}x^2 +2x-\sqrt{5} x[/tex]
These polynomial having leading coefficient 1.
Now to check x = 0, 1, (2 [tex]-\sqrt{5}[/tex]) are zeros of which polynomial.
Consider, the first polynomial
f(x) = x^3 -5x^2 + 3x - x
plug x = 0
f(0) = 0 - 5(0) + 3(0) - 0
f(0) = 0
plug x = 1
f(1) = 1^3 - 5(1)^2 +3(1) - 1
f(1) = 1 - 5 + 3 - 1
f(1) = -2
f(1) ≠ 0
Therefore, 1 is not the zero of this polynomial.
Now consider, the next polynomial
[tex]f(x) = x^3-3x^2+\sqrt{5}x^2 +2x-\sqrt{5} x[/tex]
Plug x = 0
f(0) = 0
f(1) = 0
[tex]f(2-\sqrt{5} )=0[/tex]
Therefore, the polynomial [tex]f(x) = x^3-3x^2+\sqrt{5}x^2 +2x-\sqrt{5} x[/tex] having given zeros.
To know more about polynomial, click on the link
https://brainly.com/question/2833285
#SPJ1
Answer:
[tex]f(x)=x^3-3x^2+\sqrt{5}x^2+2x-\sqrt{5}x[/tex]
Step-by-step explanation:
Given information:
Leading coefficient of 1.Zeros at x = 0, 1, 2-√5.Factor Theorem
If f(x) is a polynomial, and f(c) = 0, then (x – c) is a factor of f(x).
Therefore, the function in factored form is:
[tex]\implies f(x)=1 \cdot x(x-1)(x-(2-\sqrt{5}))[/tex]
[tex]\implies f(x)=x(x-1)(x-2+\sqrt{5})[/tex]
Expand the factored function:
[tex]\implies f(x)=x(x^2-2x+\sqrt{5}x-x+2-\sqrt{5})[/tex]
[tex]\implies f(x)=x(x^2-3x+\sqrt{5}x+2-\sqrt{5})[/tex]
[tex]\implies f(x)=x^3-3x^2+\sqrt{5}x^2+2x-\sqrt{5}x[/tex]
A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area are shown. To what coordinates should the portable irrigation system be sent to water the dry area? Explain your reasoning.
Answers
The coordinates to which the portable irrigation system should be sent to water the area are:
(495.75, 672).
Where to send the portable irrigation system?The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.
Hence the coordinates are given as follows:
x-coordinate: Mean of the x-coordinates of x = 56, x = 144, x = 888, x = 895.y-coordinate: Mean of the y-coordinates of y = 289, y = 332, y = 1012, y = 1055.Hence the x-coordinate of the point to which the system should be sent is:
x = (56 + 144 + 888 + 895)/4 = 495.75.
(the mean is given by the sum of the observations divided by the number of observations).
The y-coordinate of the point to which the system should be sent is:
y = (289 + 332 + 1012 + 1055)/4 = 672.
Missing InformationThe area is given by the image at the end of the answer.
More can be learned about the mean of a data-set at https://brainly.com/question/20118982
#SPJ1
In which of the following should the random variable X not be modeled with a geometric distribution? A. According to a recent study, approximately to find someone with a master's degree of adults in the country have a master's degree. Let X represent the number of randomly selected adults in the country surveyed B. Suppose it is known that 5% of the light bulbs manufactured at a particular company are defective. Let X represent the number of randomly selected light bulbs that are inspected to find one defective light bulb. C. A particular basketball player is known to consistently make 90% of her free throws, and the outcomes of her free-throw attempts are independent. Let X represent the number of attempted free-throws to get one missed free-throw D. In a bag of 30 different colored candies, about 20% are red. One candy will be selected one at a time without replacement, and its color will be recorded. Let X represent the number of candies selected before red is selected E. It is believed that about 40's of people in the country have purchased a certain product. Let X represent the number of people randomly selected to find the first one who has purchased the product
Answers
The probability for success is not the same for each trial, then the option D cannot be modelled using a geometric distribution.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
One of the assumptions to consider before the use of a geometric distribution can be valid is that, the probability of success must be the same for each outcome.
In the option D, selection is done without replacement, meaning that, the number total possible outcome will decrease as we make each selection and will also depend on how the colours are being chosen.
Hence, the probability of success will differ for each outcome, thus the option D is correct.
Learn more about probability, here;
brainly.com/question/19453987
#SPJ1
8y-2x=-40 put the following equation in slope intercept form simplyifing all fractions
Answers
Answer:
[tex]y = \frac{1}{4} x\\[/tex] [tex]- 5[/tex]
Step-by-step explanation:
Take a look at the attachment...
Hope this helps! :)
You are running a fuel economy study. One of the cars you find is blue. It can travel 28 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 28 4/5 on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answers
If you are running a fuel economy study. the unit rate for miles per gallon for each car is 22.8 miles and 23.04 miles and the fastest car is Red car.
How to find the unit rate?Units rate = Distance /Time
Blue car
Unit rate = 28 1/2 miles ÷ 1 1/4 gallons of gasoline
Unit rate = 28.5miles ÷ 1.25 gallons of gasoline
Unit rate = 22.8 miles
Red car
Unit rate = 28 4/5 miles ÷ 4/5 gallons of gasoline
Unit rate = 28.8miles ÷ 0.8 gallons of gasoline
Unit rate = 23.04 miles (Fastest)
Therefore the unit rate for each car is 22.8 miles and 23.04 miles and the fastest car is Red car.
Learn more about unit rate here:https://brainly.com/question/19493296
#SPJ1
C and D are sets of real numbers defined as follows. Write using interval notation.
Answers
The given sets written in interval notation are
C = (4, ∞), and = (-∞, 9]
Writing sets in interval notationFrom the question, we are to write the given sets using the interval notation
The given sets are
C = {v | v > 4}
D = {v | v ≤ 9}
For set C,
C = {v | v > 4}
The elements of the sets are 5, 6, 7, 8, 9, ...
This can be written in interval notation as (4, ∞)
For set D,
D = {v | v ≤ 9}
The elements of the sets are 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, ...
This can be written in interval notation as (-∞, 9]
Hence, the interval notation form of the sets are
C = (4, ∞)
and
D = (-∞, 9]
Learn more on Writing sets in interval notation here: https://brainly.com/question/28353123
#SPJ1
Taylor's sister is 7 years less than twice Taylor's age,a. The sum of Taylor's age and her sister's age is 41. Which equation represents this relationship
1) a + (7 - 2a) = 41
2) a + (2a-7)=41
3) 2a-7=41
4) a = 2a - 7
Explain why the other 3 choices are incorrect.
Answers
By simplifying a system of equations we will see that the correct option is the second one:
(2a - 7) + a = 41
Which equation represents this relationship?
Let's define the variables:
a = Taylor's Age.s = Sister's Age.We have the statements:
"Taylor's sister is 7 years less than twice Taylor's age"
s = 2*a - 7
"The sum of Taylor's age and her sister's age is 41"
s + a = 41
So we have a system of equations:
s = 2a - 7
s + a = 41
Replacing the first equation in the second one we get:
(2a - 7) + a = 41
So the correct option is the second one, that is the equation that represents this relationship.
Learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Suppose you want to have $300,000 for retirement in 25 years. Your account earns 5% interest.
A. How much would you need to deposit in the account each month?
B. How much interest will you earn?
Answers
A) The monthly deposit is $503.77
B) Interest per month ≈0.42
what is compound interest?
Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.
Let A be the amount in future.
Monthly deposit= [tex]P= \frac{A \times \frac{r}{n}} {(1 +\frac{r}{n})^{t*n} - 1}[/tex]
n= 12, 12 months in a year
So, monthly deposit= [tex]P= \frac{300000 \times \frac{0.05}{12}} {(1 +\frac{0.05}{12})^{25*12} - 1}[/tex]
= 1250/2.4813
= $503.77
So, monthly deposit= $503.77
To find interest:
Interest per year = 5%
Interest per month = 5/12 = 0.416 ≈0.42
To learn more about compound interest from the link
https://brainly.com/question/24274034
#SPJ1
Answer: $503.77
Interest earned: $148,869
Step-by-step explanation:
Let A be the future amount.
Monthly Deposit= P=A*r/n÷ (1+r/n)^t*n-1
n=12 months in a year
P= (300,000*0.05/12)÷ [(1+0.05/12)^25*12]-1
P=1250/2.4813
P=$ 503.77
Interest earned.
$300,000-(503.77*12*25)
$300,000-151,131= $148,869
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (-9,3) (-5,7)
Line 2: (-11, 6) (-7, 2)
The slope of line 1 is
.
The slope of line 2 is
.
Answers
Answer:
Line 1: slope is 1
Line 2: slope is -1
Lines are perpendicular
Please help! Very hard! I will mark brainliest!
Answers
4. Definition of complementary
5. Substitution
6. Subtraction property
7. Definition of Congruence
What are corresponding angles?
According to the equivalent angle postulate, if a transversal meets two parallel lines, the corresponding angles must be congruent. In other words, the corresponding angles will always be identical if a transversal intersects two parallel lines.The angles that use the same relative location at each intersection of two parallel lines with a third line are known as corresponding angles to one another.The matching angles are similar to one another in nature.The two lines are parallel in nature if the corresponding angles in the two regions of intersection are congruent.Based on their sum, corresponding angles can be:Supplementary Corresponding Angles (if their sum is 180 degree)Complementary Corresponding angles (if their sum is 90 degrees)To know more about Corresponding Angles check the below link:
https://brainly.com/question/2009183
#SPJ1
Which of the following sentences is true?
O 6.473 is less than 6.453.
O24.358 is less than 24.357.
O 19.861 is greater than 19.851.
O 19.322 is greater than 19.522.
Answers
Answer:
3
Step-by-step explanation:
19.861>19.851
look at hundreds column
A 16,000-gallon pool is being filled at a rate of 50 gallons per minute. At this rate, how many minutes will it take to fill this pool 3\4 full
Answers
To fill the pool 3/4 full it will take 240 minutes
What is rate?A rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in mathematical problems.
3/4 of the volume the pool is 3/4×16000= 12000gallons
it takes 1 minutes to fill 50gallons
therefore to fill 12000 gallons it will take 12000×1/50 =240minutes
therefore the number of minutes it will take to fill 3/4 of the pool is 240minutes
learn more about rate from
https://brainly.com/question/25793394
#SPJ1
Find the equation of the line through point (1,2) and parallel to 3x+4y=12
Answers
Answer:
y=-3/4x + 11/4
Step-by-step explanation:
First thing is to minus 3x from 3x and 12.
You will get 4y=-3x+12.
Divide all the sides by 4.
You will get y=-3/4+3.
Now input 1(x), and 2(y) into the slope-intercept form equation.
2=-3/4(1)+b
2=-3/4+b
+3/4 +3/4
2 3/4=b
You can simplify it into 11/4
So, the equation will be y=-3/4x + 11/4
I hope I got this right.
Oleg is training for a triathlon. One day he jogged for 2 hours at x miles per hour . Then he bicycled for 2 hours at y miles per hour. Finally. He swam a distance. The total number of miles did not exceed 30.
Answers
The inequality to express the information when Oleg is training for a triathlon is 2x + 2y ≤ 30
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal.
Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this case, Oleg jogged for 2 hours at x miles per hour and then he bicycled for 2 hours at y miles per hour.
The inequality will be:
2(x) + 2(y) ≤ 30
2x + 2y ≤ 30
Learn more about inequalities on:
brainly.com/question/25275758
#SPJ1
Complete question
Oleg is training for a triathlon. One day he jogged for 2 hours at x miles per hour . Then he bicycled for 2 hours at y miles per hour. Finally. He swam a distance. The total number of miles did not exceed 30. Express this as an inequality
Mrs. Smit has a yearly budget of 2.300 for the math club. she spends 36% of the budget for transportation. snacks . and rewards. 70% of the 36% was used for transportation. more money was spent on snacks iban rewards
complete the table so show possible amounts of money. in dollars Mrs . Smith could have spent this year in each category
Answers
1,858.40
2300-36%=1472
1472-70%=441.60
2300-441.6=1,858.40
For her party can Nina fill fewer than 10 bags with treats between 10 and 20 bags between 20 and 30 bags or more than 30 bags explain
Answers
The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:
Between 20 and 30 bags.
What is a proportion?A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.
In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:
Number of bags = Number of treats / Treats per bag.
The values of these parameters are given as follows:
Number of treats: 78.Number of treats per bag: 3.Hence the numeric value of the expression is:
Number of bags = 78/3 = 26.
Which is a number between 20 and 30.
Missing InformationThe problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
how to calculate p-value in one-way anova table
Answers
The p-value in one-way anova table can be calculated using the following parameters
The numerator degrees of freedomThe denominator degrees of freedomThe F valueHow to determine the p-value in one-way anova table?The anova table represents the analysis of variance.
To calculate the p value from the anove table, the following parameters are needed
df Treatment, df Error and F value
The representation of the above parameters are:
The numerator degrees of freedom (df Treatment)The denominator degrees of freedom (df Error)When these values are known, we look up to the df Treatment, df Error and F values on the anova table, and write out the corresponding p value
Take for instance:
F-value = 2.358, df Treatment = 2df Error = 27The p-value for the above parameters is 0.1138
Read more about p-value at
https://brainly.com/question/4621112
#SPJ4
Determine whether the following quadratic function has a maximum or a minimum value. Then find the maximum or minimum value and where it occur:
F(x)=-3x²+18x+3
Select the correct choice below and fill in the answer boxes to complete your choice.
(Simplify your answers.)
The function has a maximum value of ___ at x=____.
The function has a minimum value of ____ at x=____.
Answers
Answer:
maximum: 30x = 3Step-by-step explanation:
You want to find the maximum or minimum value and where it occurs for the function F(x)=-3x²+18x+3.
Vertex formThe vertex form of a quadratic is ...
f(x) = a(x -h)² +k . . . . . . . vertex at (h, k)
The graph opens downward if a < 0, and opens upward for a > 0. When the graph opens downward, the function has a maximum at the vertex. When the graph opens upward, the function has a minimum at the vertex.
ApplicationWe can put the function in vertex form as follows:
F(x) = -3(x² -6x) +3 . . . . . factor out the leading coefficient
F(x) = -3(x² -6x +9) +3 +3(9) . . . . . . subtract and add 3(9)
F(x) = -3(x -3)² +30 . . . . . . . . . simplify to vertex form
Comparing this equation to the form shown above, we see ...
a = -3 < 0 . . . . . . . . . the function has a maximum
(h, k) = (3, 30) . . . . . the maximum is 30 at x=3
__
Additional comment
The square of the binomial in parentheses is ...
(x -p)² = x² -2px +p²
That is, to "complete the square", we add the square of half the x-coefficient. Here, that coefficient is -2p=-6, so we want to add p²=9 inside parentheses. To keep the expression the same, we need to add the opposite amount outside parentheses. We are effectively adding 0 in the form of -3(9) +3(9) = 0 so the expression can be put in vertex form.
A graphing calculator can quickly show you the minimum or maximum of the function.
Differentiate the function with respect to x. Shot steps
Answers
Differentiation of function [tex]y=e^{4x^{4} } (2x^{3} -1)[/tex] is [tex]\frac{dy}{dx} =6x^{2}e^{4x^{4} } +e^{4x^{4} } (2x^{3}-1)(16x^{3} )[/tex]
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
Given,
[tex]y=e^{4x^{4} } (2x^{3} -1)[/tex]
We need to apply product rule of differentiation
dy/dx=xy'+yx'
In the given equation
x=[tex]e^{4x^{4} }[/tex]
y=[tex](2x^{3} -1)[/tex]
[tex]\frac{dy}{dx} =e^{4x^{4} } .6x^{2} +(2x^{3}-1)e^{4x^{4} } (16x^{3} )[/tex]
[tex]\frac{dy}{dx} =6x^{2}e^{4x^{4} } +e^{4x^{4} } (2x^{3}-1)(16x^{3} )[/tex]
Hence, differentiation of function [tex]y=e^{4x^{4} } (2x^{3} -1)[/tex] is [tex]\frac{dy}{dx} =6x^{2}e^{4x^{4} } +e^{4x^{4} } (2x^{3}-1)(16x^{3} )[/tex]
To learn more on Differentiation click:
https://brainly.com/question/24898810
#SPJ1
When the function f (x) is divided by x +8, the quotient is 3x2 -3x +1 and the remainder is -3. Find the function f(x) and write the result in standard form
Answers
The function f(x) in standard form as described in the task content is; 3x³ + 21x² - 23x + 5.
What is the function f(x) which is as described in the task content?It follows from the task content that the function, f(x) which is as described is to be determined.
Since the polynomial remainder theorem postulates that;
Polynomial = (quotient × divisor) + remainder.
According to the given task content;
The quotient is; 3x² - 3x + 1.
The divisor is; (x + 8) and the remainder is; -3.
Therefore, the required polynomial is;
f(x) = (3x² - 3x + 1)(x + 8) + (-3)
= 3x³ + 24x² -3x² -24x + x + 8 - 3
= 3x³ + 21x² - 23x + 5.
Therefore, the required function, f(x) is; 3x³ + 21x² - 23x + 5.
Read more on remainder theorem;
https://brainly.com/question/27749132
#SPJ1
5. It is recommended that a pregnant woman should increase her calcium
intake by 1.2 g per day. A normal pregnancy last 40 weeks. How much
extra calcium would a woman receive if she follows this advice?
Answers
The required extra calcium that women receive is 336 g during pregnancy.
Given that,
It is recommended that a pregnant woman should increase her calcium intake by 1.2 g per day. A normal pregnancy last 40 weeks.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
According to the question,
Amount of calcium intake,
= 1.2 × 40 × 7
= 336g
Thus, the required extra calcium that women receive is 336 g during pregnancy.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ1
Line C has a slope of -1. LINE D has a slope of -2. COMPARE the slopes of the lines.
Answers
Line C has a slope of -1. LINE D has a slope of -2.
To Compare the slopes of the lines.
Let us consider the following problem:
In the xy-plane, the point (-1,-2) is on the line j, and the point (-2,-1) is on the line k. Each of the lines has a Negative slope.
We should compare slopes of both the lines to each other, because we may have such kind of two lines
y=x+1 and y=x−1
so we see that their slopes are equal, but we may have also
y=2∗x or slope 2
and
y=1/2∗x or slope 1/2,
Hence, the answer is i think that there is not enough information to compare slopes of the lines.
To learn more about slopes click here https://brainly.com/question/3493733
#SPJ9
