Needing some help, please ?(: & Thank you ♥
1. For questions 3–4, order the group of quadratic functions from widest to narrowest graph.
y = 3x2, y = x2, y = 2x2
y = 2x2, y = x2, y = 3x2
y = 3x2, y = 2x2, y = x2
y = x2, y = 2x2, y = 3x2
y = x2, y = 3x2, y = 2x2
4. y = –5x2, y = –x2, y = –4x2
y = –x2, y = –5x2, y = –4x2
y = –x2, y = –4x2, y = –5x2
y = –5x2, y = –4x2, y = –x2
y = –4x2, y = –x2, y = –5x2
5. How is the graph of y = 4x2 + 1 different from the graph of y = 4x2?
It is shifted 1 unit up.
It is shifted 1 unit down.
It is shifted 1 unit left.
It
Answers
Answer:
3)[tex]y = x^2[/tex], [tex]y = 2x^2[/tex], [tex]y = 3x^2[/tex]
4) [tex]y = -x^2[/tex],[tex]y = -5x^2[/tex], [tex]y = -4x^2[/tex]
5) It is shifted 1 unit up.
Step-by-step explanation:
3) Since, the general equation of parabola is,
[tex]f(x) = a(x-h)^2+k[/tex]
If 0<a<1 then f(x) is wider than [tex]f(x)=x^2[/tex]
If a>1 then f(x) is narrow that [tex]f(x)=x^2[/tex]
Thus, the required sequence of equations from widest to narrow graph,
[tex]y = x^2[/tex], [tex]y = 2x^2[/tex], [tex]y = 3x^2[/tex]
4) Again if a<0 then [tex]f(x)=-a(x-h)^2+k[/tex] is wider than [tex]f(x)= -x^2[/tex]
Thus, the required sequence from widest to narrowest graph is,
[tex]y = -x^2[/tex],[tex]y = -5x^2[/tex], [tex]y = -4x^2[/tex]
5) Since, In equation of parabola,
[tex]f(x) = a(x-h)^2+k[/tex]
k shows the y-coordinate of the vertex of the parabola,
⇒ k shows the shifting along y-axis.
Thus, If the graph [tex]y=4x^2[/tex] is transformed to [tex]y=4x^2+1[/tex]
Then we will say it is shifted 1 unit up or shifted vertically by the factor 1.
Therefore, First Option is correct.
Question (3): The correct option is [tex]\boxed{\bf option (d)}[/tex].
Question (4): The correct option is [tex]\boxed{\bf option (c)}[/tex].
Question (5): The correct option is [tex]\boxed{\bf option (a)}[/tex].
Further explanation:
Question (3):
Solution:
The best method to find which graph is widest and narrowest is graphing a quadratic function.
The vertically stretching of graph of [tex]f(x)[/tex] by a factor of [tex]c[/tex] can be obtained by [tex]g(x)=cf(x)[/tex] if [tex]c[/tex] is greater than [tex]1[/tex].
The graph is stretched as we increase the value of [tex]c[/tex] in first case the value of [tex]c[/tex] is [tex]1[/tex] and in the second case the value of [tex]c[/tex] is [tex]2[/tex] and the third case is value of [tex]c[/tex] is [tex]3[/tex].
It means that the third case has maximum stretching that leads to a narrow graph, and similarly in second case the value of [tex]c[/tex] is [tex]2[/tex] it is also stretches but less than the third case.
Therefore, the order of quadratic functions from widest to narrowest graph is as follows:
[tex]\boxed{(y=x^{2})>(y=2x^{2})>(y=3x^{2})}[/tex]
Figure 1 (attached in the end) represents the graph of the functions [tex]y=x^{2},y=2x^{2},y=3x^{2}[/tex].
Thus, the correct option is [tex]\boxed{\bf option (d)}[/tex].
Question (4):
Solution:
The reflection of graph of [tex]f(x)[/tex] about [tex]x[/tex]-axis can be obtained by [tex]g(x)=-f(x)[/tex].
The graph of the function [tex]y=-x^{2}[/tex] is obtained when each point on the curve of the function [tex]y=x^{2}[/tex] is reflected across the [tex]x[/tex]-axis.
Similarly, the graph of the function [tex]y=-4x^{2}[/tex] [tex]y=-5x^{2}[/tex] and is obtained when each point on the curve of the function [tex]y=4x^{2}[/tex] and [tex]y=5x^{2}[/tex] is reflected across the [tex]x[/tex]-axis respectively.
From figure 2 (attached in the end) it is observed that the graph of the function [tex]y=-x^{2}[/tex] is the widest and the graph of the function [tex]y=-5x^{2}[/tex] is the narrowest.
Therefore, the correct option is [tex]\boxed{\bf option (c)}[/tex].
Question (5):
Solution:
If a constant is added to a function, the graph of the function shifts vertically upwards if the constant is positive and it shifts vertically downwards if the constant is negative.
For example: The graph of the function of the form [tex]y=f(x)+a[/tex] is obtained when each point on the curve of [tex]y=f(x)[/tex] is shifted along the [tex]y[/tex]-axis. If [tex]a[/tex] is positive then the curve shifts vertically upwards and if [tex]a[/tex] is negative then the curve shifts vertically downwards.
Similarly, the graph of the function [tex]y=4x^{2}+1[/tex] is obtained when each point on the curve of [tex]y=4x^{2}[/tex] shifts [tex]1\text{ unit}[/tex] vertically upwards.
Figure 3 (attached in the end) represents the graph of the function [tex]y=4x^{2}[/tex] and [tex]y=4x^{2}+1[/tex].
Therefore, the correct option is [tex]\boxed{\bf option (a)}[/tex].
Learn more:
1. Representation of graph https://brainly.com/question/2491745
2. Quadratic equation: https://brainly.com/question/1332667
Answer details:
Grade: High school
Subject: Mathematics
Topic: Shifting of graph
Keywords: Graph,inequality ,y=x^2 ,y=-4x^2 ,y=-5x^2 ,y=x^2 ,y=2x^2 , y=3x^2, shifted, stretches, widest, narrowest, quadratic function shifting, translation, curve.
Related Questions
Solve Equation
x^2 -4x +8 = 0
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Let h(x)=xg(x), where g(x)=the inverse of f(x). Find h'(5) using the chart.....(type that in a minute) ...?
Answers
h(x) = x g(x)
h'(x) = x g'(x) + (1)g(x)
h'(x) = x g'(x) + g(x)
Since g(x) = f^-1(x), then
g'(x) = 1/f'(x)
h'(x) = x/f'(x) + f^-1(x)
Therefore,
h'(5) = 5/f'(5) + f^-1(5).
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. If he has 18 shirts, how many pairs of jeans does he have?
Answers
Answer:
9 pairs of jeans
Step-by-step explanation:
there are 2 times as many shirts as jeans, and 18 divided by 2=9
Which expressions are equivalent to the one below? Check all that apply.
3^x
Answers
First one isn't answer because 3^x is exponetial while x^3 is cubic function. If you draw them you will see that they are very different.
B is correct because we can divide both numerator and denominator by 6 and we get 3^x
C is not correct because x is not powering 3 so we cannot devide both by 6
D is correct because 3^(x-1) is same as 3^x*3^(-1) = 3^x/3 and when multiplied by 3 we get 3^x
E is not correct. will understand after explanation in D
F is correct. x is powering both numbers so it can be outside parethasis.
Answer:
All of the answers in the picture provided are correct
Step-by-step explanation:
Which is the graph of the linear inequality y < 3x + 1?
Answers
Answer:
Graph is attached below
Step-by-step explanation:
[tex]y < 3x + 1[/tex]
To graph the inequality , we replace < symbol by = sign
[tex]y=3x + 1[/tex]
Now we graph the given equation by making a table
x y=3x+1
-1 -2
0 1
1 4
Graph all the points (-1,-2) (0,1) (1,4) and make a line
Now we do shading using test point (0,0)
[tex]0< 3(0) + 1[/tex]
[tex]0<1[/tex] True
So we shade the region that has test point (0,0)
the graph is attached below
Farmer Ed has 7000 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Ed does not fence the side along the river, what is the largest are that can be enclosed? ...?
Answers
Let
x--------> the length side of the rectangular plot (assume side along the river)
y------> the width side of the rectangular plot
we know that
the perimeter of the rectangular plot is equal to
[tex]P=x+2y[/tex]
[tex]P=7,000\ m[/tex]
so
[tex]7,000=x+2y[/tex]
Clear variable y
[tex]y=(7,000-x)/2[/tex] -------> equation [tex]1[/tex]
The area of the rectangular plot is
[tex]A=x*y[/tex] ------> equation [tex]2[/tex]
substitute equation [tex]1[/tex] in equation [tex]2[/tex]
[tex]A=x*[(7,000-x)/2][/tex]
[tex]A=x*[(7,000-x)/2]\\\\ A=3,500x-0.5x^{2}[/tex]
we know that
To find the larger area that can be enclosed------> Find the vertex of the quadratic equation
The quadratic equation is a vertical parabola open down
so
the vertex is a maximum
using a graphing tool
see the attached figure
the vertex is the point [tex](3,500,6,125,000)[/tex]
that means
For [tex]x=3,500\ m[/tex]
the largest area is [tex]6,125,000\ m^{2}[/tex]
Find the value of y
[tex]y=(7,000-3,500)/2=1,750\ m[/tex]
the dimensions of the rectangular plot are
[tex]Length=3,500\ m\\Width=1,750\ m[/tex]
therefore
the answer is
The largest area that can be enclosed is [tex]6,125,000\ m^{2}[/tex]
Factor
h^2-4k^2+4h-8k
Answers
h^2-4k^2+4h-8k
Factor the expression.(h−2k)(h+2k+4)
What are the x and y intercept of (0,0), (10,106), (15,159), (20,212), (30, 318) ?
Answers
In this particular problem, the x and y intercept occur at the same point: (0,0)
This is known as the origin.
How do you completely factor 2x^3 + 16y^3
Answers
2x³+16y³= 2(x³+8y³)
Which quadratic function has a leading coefficient of 2 and a constant term of –3?
f(x) = 2x3 – 3
f(x) = –3x2 – 3x + 2
f(x) = –3x3 + 2
f(x) = 2x2 + 3x – 3
Answers
f(x) = ax² + bx + c
a - the leading coefficient
c - the constant term
We are looking for a = 2, c = -3
Through the process of elimination:
The first (f(x) = 2x3 – 3) and the third choice (f(x) = –3x3 + 2) have x³ so these are not quadratic function.
In the function: f(x) = –3x2 – 3x + 2
a = -3
c = 2
In the function: f(x) = 2x2 + 3x – 3
a = 2
c = -3
Which word phrase represents this expression?
g + 24
A.the sum of g and 24
B.the sum of g and 26
C.the difference of 24 and some g
D. the difference of g and 24
Answers
We're adding g (some unknown number) and 24
We have the sum of g and 24
Answer is choice A
Write the following comparison as a ratio reduced to lowest terms.
10 nickels to 11 dimes
Answers
10 nickels to 11*2 nickels
10 nickels to 22 nickels
10 nickels: 22 nickels
10:22
5:11
[tex]\frac{5}{11}[/tex]
To find the simplified ratio of 10 nickels to 11 dimes, convert the counts into their monetary values, create a ratio, and reduce it. The end result is a simplified ratio of 5:11, as 10 nickels are worth 50 cents and 11 dimes are worth 110 cents.
The question asks for a ratio to be written and reduced to its lowest terms. This involves dividing both quantities by the same number until they cannot be divided further without resulting in a fraction. To write the comparison of 10 nickels to 11 dimes as a ratio reduced to lowest terms, we consider the value of each coin type. A nickel is worth 5 cents, and a dime is worth 10 cents. Therefore, 10 nickels have a value of 10 x 5 = 50 cents, and 11 dimes have a value of 11 x 10 = 110 cents.
Creating a ratio of these values, we get 50:110. Since both numbers are divisible by 10, we can simplify the ratio by dividing each side by 10, which gives us 5:11. This ratio is already in its simplest form, as 5 and 11 have no common divisor other than 1.
The simplified ratio of the value of 10 nickels to 11 dimes is 5:11.
In ΔABC shown below, ∠BAC is congruent to ∠BCA:
Triangle ABC, where angles A and C are congruent
Given: Base ∠BAC and ∠ACB are congruent.
Prove: ΔABC is an isosceles triangle.
When completed (fill in the blanks), the following paragraph proves that Line segment AB is congruent to Line segment BC making ΔABC an isosceles triangle.
Construct a perpendicular bisector from point B to Line segment AC.
Label the point of intersection between this perpendicular bisector and Line segment AC as point D:
m∠BDA and m∠BDC is 90° by the definition of a perpendicular bisector.
∠BDA is congruent to ∠BDC by the definition of congruent angles.
Line segment AD is congruent to Line segment DC of a perpendicular bisector.
ΔBAD is congruent to ΔBCD by_____1_______.
Line segment AB is congruent to Line segment BC because____2_____.
Consequently, ΔABC is isosceles by definition of an isosceles triangle.
Answers
Refer to the image attached.
Given: [tex]\angle BAC[/tex] and [tex]\angle ACB[/tex] are congruent.
To Prove: [tex]\Delta[/tex]ABC is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to Line segment AC.
Consider triangle BAD and BCD,
[tex]\angle BAC = \angle ACB[/tex] (given)
[tex]\angle BDA = \angle BDC = 90^\circ[/tex]
(By the definition of a perpendicular bisector)
[tex]AD=DC[/tex] (By the definition of a perpendicular bisector)
Therefore, [tex]\Delta ABD \cong \Delta BDC[/tex] by Angle Side Angle(ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)
Final answer:
By constructing a perpendicular bisector from B to AC in triangle ABC, we use the RHS Congruence rule and CPCTC to prove that AB is congruent to BC, thus showing that triangle ABC is isosceles.
Explanation:
To prove that ∆ABC is an isosceles triangle because base ∠BAC and ∠ACB are congruent, we start by constructing a perpendicular bisector from point B to line segment AC and labeling the intersection as point D. By definition, m∠BDA and m∠BDC are 90°, and ∠BDA is congruent to ∠BDC. Also, AD is congruent to DC because D is the midpoint of AC. Therefore, using the Right Angle Hypotenuse Side (RHS) Congruence rule, ∆BAD is congruent to ∆BCD, as they have a right angle, a congruent side (BD), and another congruent side (AD = DC).
Since the triangles ∆BAD and ∆BCD are congruent, it follows that line segment AB is congruent to line segment BC, by Corresponding Parts of Congruent Triangles are Congruent (CPCTC). Therefore, by the definition of an isosceles triangle, which states that at least two sides are congruent, ∆ABC is isosceles.
The point (-3,11) is a solution of which of the following systems?
y≥x-2
2x+y≤5
y>x+8
3x+y>2
y>-x+8
2x+3y≥7
y≤-3x+1
x-y≥-15
Answers
Samantha had 7/8 of a yard of ribbon. She used 1/6 of a yard for a bow. How much ribbon does Samantha have left?
Answers
what is equivalent to 4/6
Answers
2/3.
how to integrate arctan 3x.dx ...?
Answers
arctan(3x) = 1*arctan(3x)
ill take
u = arctan(3x)
dv = 1
-so you know
du = 3/(1+9x^2) ...... derivative of tangent inverse
v = x
∫ u dv = uv - ∫ v du
∫ (arctan(3x) * 1) dx = x*arctan(3x) - ∫ (x * (3/(1+9x^2))) dx
= x*arctan(3x) - ∫ (3x / (1 + 9x^2)) dx
take w = 1 + 9x^2
dw = w' dx
dw = 18x dx
dx = dw / 18x
so now you have
= x*arctan(3x) - ∫ (3x)/w * dw/18x
the x's cancel and you end up with
= x*arctan(3x) - (1/6)*∫(1/w)dw
= x*arctan(3x) - (1/6) * ln|w|
= x*arctan(3x) - (ln(1 + 9x^2))/6.......1 + 9x^2 is always positive
your answer:
x*arctan(3x) - (ln(1 + 9x^2))/6
Subtract the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x.
Subtract 2x^2 - 6x - 4
from 4x^2 - 4x + 3. ...?
Answers
The correct answer is: 2x^2+2x+7
11-8 The Choi Company's next expected dividend, D1, is $3.18; its growth rate is 6 percent; and its stock currently sells for $36. New stock can be sold to net the firm $32.4 per share.
a. What is Choi's percentage flotation cost, F?
b. What is Choi's cost of new common stock, Re ?
Answers
Choi's percentage flotation cost is 10%, and the cost of new common stock is 15.81%, calculated using the difference in current stock price and net price per share for the flotation cost, and the dividend discount model for the cost of new common stock.
Explanation:Calculating Choi's Flotation Cost and Cost of New Common Stock
The percentage flotation cost of Choi Company's new stock is 90.28% and the cost of new common stock is 15.94%.
To calculate Choi's percentage flotation cost (F), we start by looking at the difference between the price the stock currently sells for and the net amount the firm receives when selling new stock. The current stock price is $36, and the firm can net $32.4 per share from selling new stock, so the flotation cost per share is $36 - $32.4 = $3.6 per share. To find the percentage flotation cost, we divide this amount by the market price of the stock:
F = Flotation cost per share / Current stock price = $3.6 / $36 = 0.10 or 10%
Next, to calculate Choi's cost of new common stock (Re), we use the dividend discount model (DDM), which claims that the price of a stock is the present value of all future dividends. The expected dividend, D1, is $3.18 and the growth rate, g, is 6%. The cost of new common stock, taking into account the flotation cost, is calculated using the formula:
Re = (D1 / Net price per share) + g = ($3.18 / $32.4) + 0.06 = 0.0981 + 0.06 = 0.1581 or 15.81%
Set up a proportion and use cross multiplication to solve.
15 is ________% of 60.
Answers
So, your final answer is 25%
Hope this helps!
Answer:
25% Hope It Help's :)
Step-by-step explanation:
What's 44/8 as a mixed number
Answers
Just simply find the GCF of 44 and 8 then divide them 44 by 4 over 44 over 8 and u get 11/2. Now divide 11 and 2 and u get 5 with the remainder of 1, now simplify and u get 5 1/2. 5 from the sentence before this one and convert 1 to one half.
44/8 = 5 with a remainder of 4. Your remainder goes over your original denominator. Your quotient is your whole number. So in this instance, the quotient is 5 and the remainder is 4, so that means the answer is ..
5 [tex] \frac{4}{8} [/tex]
Which can be reduced to..
5 [tex] \frac{1}{2} [/tex]
There you are!
Hope this helps! :)
Find angle A if mDE is equal to 53° and mBC is equal to 8°
Answers
Remember that if two secants intersect in the exterior of a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs. So, our equation would be A = (1/2)(mDE-mBC). Now let us plug in the values.
A= 1/2(53-8)
a= 1/2(45)
A = 22.5
Therefore, the measure of angle A is 22.5 degrees.
Hope this is the answer that you are looking for.
When making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal?
The 68% confidence interval is wider than the 90% confidence interval.
The 90% confidence interval is narrower than the 95% confidence interval.
The 90% confidence interval is wider than the 99% confidence interval.
The 99% confidence interval is narrower than the 68% confidence interval
Answers
Then, an interval of 68% is narrower than 90%, which is narrower than 95%, which is narrower than 98%.
The only option of the list that is right is the second one.
Answer: the 90% confidence interval is narrower than the 95% confidence interval.
the principal will randomly choose 6 students from a large school to represent the school in a newspaper photograph. the probability that a chose student is an athlete is 30%. (assume that this doesn't change) What is the probability that 4 athletes are chosen? ...?
Answers
This is a binomial distribution. The probability of a binomial distribution is given by
P = nCr * p^r * q^(n-r)
For this problem,
n = 6
r = 4
p = 0.30
q = 0.70
P = 6C4 * 0.30^4 * 0.70^(6-4)
P = 5.95%
To find the probability of choosing exactly 4 athletes from 6 students when the chance of any student being an athlete is 30%, we use the binomial probability formula considering a fixed number of trials, a binary outcome, a constant probability, and independent trials.
Explanation:The question asks about the probability of choosing 4 athletes out of 6 students from a school, given that each student has a 30% chance of being an athlete. We can treat this as a binomial probability problem because we have a fixed number of trials (six students chosen), two possible outcomes (athlete or not), a constant probability of success (30% chance the student is an athlete), and independence between trials.
To calculate the probability of exactly 4 athletes being chosen, we use the binomial probability formula:
P(X = k) = C(n, k) * [tex]p^k[/tex] * [tex](1-p)^(n-k)[/tex]
Where:
n is the number of trials (6 students)k is the number of successful trials (4 athletes)p is the probability of success on a single trial (30% or 0.3)C(n, k) is the combination of n items taken k at a timeUsing these values, we find the probability that 4 out of 6 students chosen are athletes.
Write 0.4375 as a fraction in simplest form.
Answers
= 7/16
Answer: 7/16
Step-by-step explanation:
because if you do long division your answer is
16 ) 7.0000 ( 0.4375
-64
60
-48
120
-112
80
-80
0
wich is is = 0.4375
Sandy walks 26 miles in a month. how many miles will she have walked in 2 years
Answers
Final answer:
Sandy walks 312 miles in a year, so over 2 years, she would walk 624 miles. As a reference point, a marathon runner with an average speed of 9.5 mi/h would take approximately 2.76 hours to run a 26.22 mi marathon.
Explanation:
To calculate how many miles Sandy will walk in 2 years, we must first determine how many miles she walks in one year and then multiply that by 2 since there are two years. Sandy walks 26 miles in a month. Therefore, to find out how many miles she walks in a year, we use the following steps:
Multiply the monthly miles by the number of months in a year (26 miles per month * 12 months = 312 miles).
To find out the mileage for 2 years, multiply the yearly mileage by the number of years (312 miles per year * 2 years = 624 miles).
Therefore, Sandy will have walked 624 miles in 2 years.
If a marathon runner averages 9.5 mi/h, the calculation to determine how long it takes him or her to run a 26.22 mi marathon is as follows:
Divide the marathon distance by the average speed (26.22 mi / 9.5 mi/h).
The result gives us approximately 2.76 hours, which is the time it takes to complete the marathon
You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want for $15. You don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?
x+15 is greater than or equal to 60
x-15 is greater than or equal to 60
x+15 is less than or equal to 60
x-15 is less than or equal to 60
Answers
Let
x--------> the amount you have left to spend
y--------> the cost of a shirt you want
z------> the amount of the gift card
we know that
[tex] x+y \leq z [/tex] --------> equation [tex] 1 [/tex]
[tex] y=\$ 15 [/tex] --------> equation [tex] 2 [/tex]
[tex] z=\$ 60 [/tex] --------> equation [tex] 3 [/tex]
Substitute the equation [tex] 2 [/tex] and equation [tex] 3 in the equation [tex] 1 [/tex] [/tex]
[tex] x+y \leq z [/tex]
[tex] x+15 \leq 60 [/tex]
therefore
the answer is the option
x+15 is less than or equal to 60
why wouldn't the man stand in line to step on the scale ?
answer ?
Answers
The man wouldn't stand in line to step on the scale because the scale measures weight, not mass. When you stand on a bathroom scale, it measures the force exerted on it due to your weight. Weight is the force of gravity acting on an object, while mass is the amount of matter in an object.
Explanation:The man wouldn't stand in line to step on the scale because the scale measures weight, not mass. When you stand on a bathroom scale, it measures the force exerted on it due to your weight. Weight is the force of gravity acting on an object, while mass is the amount of matter in an object. So, if the man were on the Moon or in an elevator accelerating, the scale reading would be different because the force of gravity on him would be different, but his mass would remain the same.
Write an equation of the line passing through(-3,-14),(1,-2)
Answers
From there, use point slope form. That equation is (y - y1) = m(x - x1). You can choose either one of those points to plug in the equation, and then you just simplify. Remember that your slope is m. I'll do it in steps below so that you can see the math for yourself.
(y - (-2)) = 3(x - 1)
(y - (-2)) = 3x - 3
y = 3x - 5
Add.
(3x4 – 2x3 + 1) + (12x4 + x2 – 11)
Answer
15x4 – 2x3 + x2 + 10
15x4 – x3 – 10
15x4 – x2 – 10
15x4 – 2x3 + x2 – 10
...?
Answers
3x^4 - 2x^3 -11
12x^4 +x^2 +1 <<< Add these using the normal addition process
----------------------------------
15x^4 - 2x^3 +x^2 -10
Therefore, the answer would be the last option: 15x4 – 2x3 + x2 – 10
Hope this is the answer that you are looking for. Thanks for posting!