The domain for f(x) and g(x) is all real numbers.


Let f(x) = x2 + 1 and g(x) = x4 − 1.


Find f · g.


A.
x6 + x4 − x2 − 1


B.
x4 + x2 − 1


C.
x8 + x4 − x2 + 1


D.
x6 − x2 − 1The domain for f(x) and g(x) is all real numbers.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

(f*g)(x) = f(x) * g(x)

=(x2+1)(x4-1)=x6-x2+x4-1


Related Questions

whats the area in square inches ​

Answers

Answer:

Area of triangle =1/2b×h

1/2×10×8.7

=44 square inches

Answer:

44

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

where b is the base and h is the height

A = 1/2 (10) (8.7)

A= 43.5

Rounding to the nearest whole number

A = 44

applications of rational numbers​

Answers

Step-by-step explanation:

Rational numbers are real numbers which can be written in the form of p/q where p,q are integers and q ≠ 0. We use taxes in the form of fractions. When you share a pizza or anything. Interest rates on loans and mortgages.

Hope it helps you

Mark my answer as brainlist

have a nice day

Find the indicated side of the
right triangle.
45°
y
6
45°

Answers

Answer:

6

Step-by-step explanation:

tan 45 = 6 / x

1 = 6 / x

x = 6

Note :

Tan 45 value = 1

Answer:

x=6

Step-by-step explanation:

Since this is an isosceles triangle, the sides must be equal next to the base angles that are equal

x=6

what fraction of these houses have seven rooms

Answers

Answer:

9/50

Step-by-step explanation:

18 % have 7 rooms

18 % means 18 out of 100

18/100

Divide top and bottom by 2

9/50

9/50 just divide the top from the bottom

If carina can ride her bike at a speed of 7 mph, it will take her 3 hours to travel 21 miles. True or false?

Answers

Answer:

True

Step-by-step explanation:

We know that distance = rate * time

21 miles = 7 miles per hours * 3 hours

21 miles = 21 miles

True

True because we know distance=rate*time

Find the value of m if x + m is a factor of x^2 - 5mx + 3​

Answers

Answer:

+or- sqrt(3/4)

Step-by-step explanation:

If x + m is a factor, that means that when x = -m the equation equals 0. Sub -m into x

0 = (-m)^2 - 5m(-m) + 3

0 = m^2 - 5m^2 + 3

0 = -4m^2 + 3

Factorise

0 = -4(m^2 - 3/4)

0 = -4(m + sqrt(3/4))(m - sqrt(3/4))

:. m = +or- sqrt(3/4)

i would like if someone helped me with this.

Answers

Answer:

the answer is to the question is b

Answer:

(-1.5,9)

Step-by-step explanation:

In second quadrant the x- component is negative where as y- component is positive

2^2+ 3^2 - 4^2

Simplify using the order of operation

Answers

Answer:

[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]

I hope it helped U

stay safe stay happy

Answer:

-3

Step-by-step explanation:

[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + 9 - {4}^{2} [/tex]

[tex] = 4 + 9 - 16[/tex]

[tex] = - 3[/tex]

Can someone help me please

Answers

Answer:

=2⁵it's option B 2⁵(B) 2⁵ is the right option

Jenny puts 8 stickers on each page of her note book. She uses 72 stikers in all which equation can be use to find the number of in jennys note book

Answers

Answer:

72/8=9 im not sure which it is asking for

Step-by-step explanation:

we know that Jenny has 72 stickers with 8 stickers on each page. so therefore the the 72 stickers have been divided by 8 to fit onto 9 pages.

Answer:

9 pages of stickers

Step-by-step explanation:

72 / 8 = 9 pages of stickers

Give an example of a trinomial with a GCF of 6a.

Answers

9514 1404 393

Answer:

  18a +42ax +24az

Step-by-step explanation:

6a(3 +7x +4z) = 18a +42ax +24az

__

Additional comment

In order for 6a to be the GCF, the terms inside parentheses cannot have any common factors.

X =

A)6 2/3
B)9
C)12

Answers

I think the answer would be (C) 12 because when you lay the line measuring 5 - 4 flat you can see that it is not covering line x completely. When 3 to the new line of 9 you can see that it fits. Hope this helps!

I need help ASAP!! Please explain how to solve the problem

Answers

Answer:

area of base = pi x radius^2 = (ill use 3.14 as pi)

3.14 x 7^2 = 153.86 in^2

height = 12

circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in

surface area = perimeter of base x height (lateral area) + 2 x area of base

= 43.96 x 12 = 527.52 + 2(153.86) = 835.24

hope that answers your question

(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)

What is the x-intercept of the equation y = 2/3x + 12? Please explain each step for better understanding, thank you:)

Answers

Answer:

(-18, 0)

Step-by-step explanation:

The x intercept has a y value of 0. So, to find the x intercept, plug in 0 as y into the equation, and solve for x:

y = 2/3x + 12

0 = 2/3x + 12

-12 = 2/3x

-18 = x

So, the x intercept is (-18, 0)

Write the polynomial in standard form -7x+10x^3-7x^2-x^8+15

Answers

Answer:

-x^8+10x^3-7x^2+7x+15

Step-by-step explanation:

-7x+10x^3-7x^2-x^8+15

Standard form is from highest power to lowest power of x

-x^8+10x^3-7x^2+7x+15

Please help me understand

Answers

Answer:

B. slope 1/4, y-intercept at ( 0, 5)

Step-by-step explanation:

slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4

the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)

we are given that one of the points is (x=0, y=5) so this is our y-intercept

OR

the slope intercept form equation of a line y= mx+b, where b is the y-intercept

y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5

5 = (1/4)*0 +b

5 = b

(a) An angle measures 40°. What is the measure of its complement?
(b) An angle measures 63°. What is the measure of its supplement?

Answers

Answer:

see below

Step-by-step explanation:

Complements add to 90 degrees

x+40 = 90

x = 90-40

x = 50

Supplements add to 180

y+63 =180

y = 180-63

y = 117

(a)

If the sum of the measures of two angles is 90° they are known as complementary angles.

Let the value of unknown angle be x.

According to the question

⇨x + 40° = 90°

⇨x = 90° - 40° [Subtract]

⇨x = 50°

Complement angle is 50°

____________________

(b)

If the sum of the measures of two angles is 180° they are known as supplementary angles.

Let the value of unknown angle be x.

According to the question

⇛x + 63° = 180°

⇛x = 180° - 63° [Subtract]

⇛x = 117°

Supplement angle is 117°

(a)

If the sum of the measures of two angles is 90° they are known as complementary angles.

Let the value of unknown angle be x.

According to the question

⇛x + 40° = 90°

⇛x = 90° - 40° [Subtract]

⇛x = 50°

Complement angle is 50°

____________________

(b)

If the sum of the measures of two angles is 180° they are known as supplementary angles.

Let the value of unknown angle be x.

According to the question

⇨x + 63° = 180°

⇨x = 180° - 63° [Subtract]

⇨x = 117°

Supplement angle is 117°

This diagram shows lines PQ, RS, and TV. How
many angles appear to be obtuse? Name them.

Answers

Answer:

Obtuse angles measure between 90° and 180°.

In the diagram we have:

∠PMS, ∠RMN, ∠MNV, ∠TNQ

Obtuse angles measure less than 180° but more than right angle

Here they are

<RMN<SMP<VNM<QNT

what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Need help ASAP ???

Answers

We can conclude that the length of DA is 6.

For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.

These are given, so we know that the vertices are the points:

A(-5,-4)

B (1,4)

C(4,0)

D(1,-4)

Now we want to find the length of DA, this is the distance between points D and A.

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Then for the case of the points:

A (-5, -4) and D (1, -4)

the distance is given by:

[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]

Then we can conclude that the length of DA is 6.

If you want to read more, you can see:

https://brainly.com/question/12040665

salini's mother's present age is 8 times salini's present age five years from now salini's age will be 1/4th of of his mother's present age what are their present ages

Answers

Answer:

salini -= 5 years

mother = 40years

Step-by-step explanation:

[tex]salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x [/tex]

[tex]5 = x[/tex]

then you equate the values of x

The circumference of a circle is 6pi inches. What is the area of the circle

Answers

Answer:

B0 A = 9 Pi

Step-by-step explanation:

c = 6 Pi (given)

c = Pi 2r (standard formula)

r = c / (2 Pi)

r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)

So

A = Pi r**2

A = Pi 3**2

A = 9 Pi

Which are corresponding pairs​

Answers

Answer:

pandn

Step-by-step explanation:

jsubeuodoqok1kwnebhxhhw

emdndiiwjwkd

d

ddnjd

there are 160 girls and 240 boys in a school
i. find the percent of girls in the school
ii. find the percent of boys in the school.​

Answers

Answer:

girls = 40%

boys = 60%

Step-by-step explanation:

Girls = 160

boys = 240

total students = 160+240

= 400

so,

percent of girls = (160/400)×100%

= (2/5)×100%

= 2×20%

= 40%

so,

percent of boys = 100% - 40%

= 60%

It takes Jacob 25 minutes to line 2/3 of the flag football field. At this rate, how long will it take to line the entire field. *

Answers

Answer:

12.5 minutes

Step-by-step explanation:

Just divide 25 by 3 to get 12.5

Answer:

37.5 minutes

Step-by-step explanation:

We can set a ratio to model this problem

It takes Jacob 25 minutes to line 2/3 of the flag football field.

The ratio here is 25 : 2/3.

We want to figure out what x : 1 is.

25 : 2/3

x : 1

We can model this by fractions:

[tex]\frac{25}{\frac{2}{3}} = x[/tex]

When you divide by a fraction, you end up multiplying it by the reciprocal.

[tex]25(\frac{3}{2})=x[/tex]

[tex]x=\frac{75}{2}[/tex]

[tex]x = 37.5[/tex]

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0)
(-1/2, -3)
O A. y = 2x
O B. y=*
O C. y = 3x
ООО
OD. y = -6x
E. y=-*
OF. y = 6x

Answers

Answer:

I think the correct answer is F. y = 6x

We will see that the line equation is y = 6*x

How to find a linear equation?

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, the line passes through the points: (0, 0) and (-1/2, -3)

Then the slope is:

[tex]a = \frac{0 - (-3)}{0 - (-1/2)} = 6[/tex]

Then the line is of the form y = 6*x + b

To find the value of b, we use the fact that the line passes through the point (0, 0), then we have:

0 = 6*0 + b

0 = b

We can conclude that the line is y = 6*x

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

Which of the following statements is false?

Answers

B. A parallelogram is a rectangle.

Slope of (5a, b) and (2a, 2b)

Answers

Answer:

8a+4b

Step-by-step explanation:

What is the slope of the function? Then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answers

Complete question is;

Alejandra correctly wrote the equation y – 3 = (1/5) (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Since the original line is;

y – 3 = (1/5) (x – 10)

This means the slope is 1/5 and the x and y coordinates are (10, 3) respectively.

Now, if she changes the slope to 2 and it still passed through the same point, then it means it's x and y points are still (10, 3). Thus, the equation will now be;

y – 3 = 2(x – 10)

kiro and lito were assigned the same book to read for a class. kiro started reading on Saturday, and he's reading 20 pages a day. Lito didn't start until Sunday, but he is reading 25 pages a day. How many days will it take Lito to catch up to kiro and how many pages will they have each read?

what system of equations represents this situation and how do you solve it?

Answers

Since Kirk starting reading on Saturday, I can make an equation of 20 + 20d. The equation for Lito is 20d. Therefore, the system of equations is 20 + 20d = 25d.

I can solve this like any other equation. Firstly, I can subtract 20d on the left hand side to give me 20 = 5d. Then, I can divide by 5. This gives me 4 = d, or d = 4. This means that it takes Lito 4 days to catch up. I can then multiply 20 * 4 and 25 * 4 to give me 100 pages.

The system of equations is 20 + 20d = 25d, and the amount of pages they each read is 100.

What is the ratio of 16 and 8

Answers

Answer:

Convert fraction (ratio) 8 / 16 Answer: 50%

Step-by-step explanation:

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