If f(x) = x3+ x2and g(x) = x4+ x2+ x, what is the value of f(x) –g(x) when x = 1?
A) -2
B) -1
C) 1
D) 5

Answers

Answer 1

Answer:

B) -1

Step-by-step explanation:

[tex]f(x)=x^3+x^2\\\\g(x)=x^4+x^2+x[/tex]

METHOD 1

[tex]f(x)-g(x)=(x^3+x^2)-(x^4+x^2+x)=x^3+x^2-x^4-x^2-x\\\\=-x^4+x^3-x\\\\x=1\\\\-1^4+1^3-1=-1+1-1=-1[/tex]

METHOD 2

[tex]x=1\\\\f(1)=1^3+1^2=1+1=2\\\\g(1)=1^4+1^2+1=1+1+1=3\\\\f(1)-g(1)=2-3=-1[/tex]


Related Questions

random khan question and I haven't done this in a year, I'm struggling.

Answers

Answer:

Add maybe

Step-by-step explanation:

add the 500+400+200 try that hope it helps have a great day

How can 38 over 6 be expressed as a decimal?
A. 5.1 with bar over 1
B. 6.1 with bar over 1
C. 6.3 with bar over 3

Answers

Answer:

B

Step-by-step explanation:

C its C hopes this helps

Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.81. This can be expressed as P(call is for medical assistance)

Answers

Answer: The is down there

Step-by-step explanation: Glad to help but hope it helps you.

The bigger

the number the more

factor pairs it has.

Use examples to show that Dexter is wrong.

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Prove that Dexter is wrong

To prove that Dexter is wrong, we use the following numbers.

[tex]Number = 4[/tex]

The factors are:

[tex]Factor = 1,2\ and\ 4[/tex]

3 factors

Using a greater number:

[tex]Number = 5[/tex]

The factors are:

[tex]Factor = 1\ and\ 5[/tex]

2 factors

From the above analysis:

4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors

This shows that Dexter is wrong

Kevin draws out one M&M without looking.

· What is P(green)?


· What is P(red)?


· What is P(~Yellow)?


· What is P(~Orange)?

Answers

Answer:

1/6

Step-by-step explanation:

M&M comes in 6 colors.

So, P(green), = 1/6

P(red) = 1/6

· P(Yellow) = 1/6

· P(Orange) = 1/6

Pls help ASAP I’ll brainlest

Answers

Answer:

b) x= -13

Step-by-step explanation:

Answer:

it's answer is= - 13.175

but it is not in option

so B) - 13

is right

What is the value of x?

Answers

Answer:

98%

Step-by-step explanation:

0.5 g of salt is equal to how many milligrams show your work

Answers

Answer:

Amount of salt = 500 milligrams

Step-by-step explanation:

Given:

Amount of salt = 0.5 g

Find:

Amount of salt in milligrams

Computation:

1 gram = 1,000 milligrams

So,

Amount of salt = 0.5 x 1,000

Amount of salt = 500 milligrams

One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?

Answers

The best deal would be 5 apples for 6.25

Hope this helps

Have a great day/night

Feel free to ask any questions

The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.

Answers

The percentage increase is 160%


What is the area of a circle with a diameter of 34 mi? Use 3.14 for n
O 213.52 mi2
0907.46 mi2
O 106.76 mi2
0 3629.84 mi2

Answers

Answer:

907.46

Step-by-step explanation:

diameter = 34

radius = 17 (half of diameter)

A=πr^2

HOPE THIS HELPS PLZ MARK BRAINLIEST! :)

A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?

Answers

Answer:

320 pounds of 55% raisins trail mix

480 pounds of 30% raisins trail mix

Step-by-step explanation:

i did it on RSM and got it right

Plz help me! I’m not sure how to do these!

Answers

Step-by-step explanation:

2. x =101

3. x= 120

4. x= 30

I am very confused in question no 1 and 5 th .

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful .

Need help on this please

Answers

95 degrees maybe not sure tho

What is the volume of the rectangular prism?​

Answers

Answer:

15 0/0

Step-by-step explanation:

15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume

Answer:

15[tex]cm^{3}[/tex]

Step-by-step explanation:

ok...each of those boxes are 1/2 cm

What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15

Hope this helped!

Have a supercalifragilisticexpialidocious day!

1. Maya had a dozen white eggs
and a dozen brown eggs in her
refrigerator. She used 6 white
eggs and 8 brown eggs to make
breakfast. How many eggs does
she have left?

Answers

Answer:

6 white & 4 brown

Step-by-step explanation:

12-6=6

12-8=4

evaluate the expression 4/5-2/3

Answers

Answer:

2/15

Step-by-step explanation:

Find the LCM which is 15. Multiply 4/5 by 3 to get the numerator 15 and multiply 5 to 2/3 to get the numerator 15.

12/15-10/15=2/15

Hope this helps. Pls give brainliest.

Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie

Answers

Answer:

x intercept is 180

Step-by-step explanation:

Given

[tex]y = cos(\frac{1}{2}x)[/tex]

Required

Determine the x intercept

To do this, we simply set y to 0.

i.e. y = 0

Substitute 0 for y in [tex]y = cos(\frac{1}{2}x)[/tex]

[tex]0 = cos(\frac{1}{2}x)[/tex]

Take [tex]cos^{-1}[/tex] of both sides

[tex]cos^{-1}(0) = cos^{-1}(cos(\frac{1}{2}x))[/tex]

[tex]90 = \frac{1}{2}x[/tex]

Multiply both sides by 2

[tex]2 * 90 = \frac{1}{2}x * 2[/tex]

[tex]2 * 90 = x[/tex]

[tex]180 = x[/tex]

[tex]x = 180[/tex]

Hence, the x intercept is 180

In triangle DEF, if the measures of angles D and E are equal, and the measure of
angle F is 26, what are the measure of angles D and E?
Your answer


Answers

Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

Q6.
Nimes was driving to a hotel.
He looked at his Sat Nav at 13 30
Time
1330
Distance to destination
65 miles
Nimec arrived at the hotel at 14 48
Work out the average speed of the car from 13 30 to 14 48
You must show all your working.

Answers

Answer:

The average speed at which Nimes drove his car was 50 miles per hour.

Step-by-step explanation:

Given that Nimes was driving to the hotel at 1:30 p.m., being 65 miles away from it, and finally arriving at its destination at 2:48 p.m., to determine the average speed at which the circle should be made. following calculation:

14:48 - 13:30 = 1:18

60 = 100

18 = X

(18 x 100) / 60 = X

1,800 / 60 = X

30 = X

65 / 1.30 = X

50 = X

Therefore, the average speed at which Nimes drove his car was 50 miles per hour.

Need help on only 27 please need ASAP thanks

Answers

Answer:

8 is not in the solution set

Step-by-step explanation:

Given, -y + 7 < -4

To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.

Thus:

-8 + 7 < -4

-1 < -4

This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.

Therefore, 8 is not in the solution set.

what is sociallizatioj​

Answers

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.

how do you solve 0.7n-1.5+7.3n=14.5​

Answers

Answer:

n = 2

Step-by-step explanation:

Answer:

n = 2

Step-by-step explanation:

0.7n-1.5+7.3n=14.5​

Add like terms

(0.7n + 7.3n) + (-1.5) = 14.5

8n -1 .5 = 14.5

Add 1.5 to both sides.

8n =1 6

Divide both sides by 8.

n = 2

Gwen takes out a loan of $400 to pay for an online course. Flat rate interest is charged at 8% p.a

If she repays the loan in 3
months, how much interest does she pay in total?

Answers

We know, 1 year = 12 month.

So, 3 month = 3/12 = 0.25 year.

Now, principle amount, P = $400 .

Rate is, r = 8% = 0.08

Time period, t = 0.25 year.

Now, Interest is given by :

I = P × r × t

I = $( 400 × 0.08 × 0.25 )

I = $8

Therefore, she will pay $8 interest in total.

are squares parallelograms

Answers

yes because it has 4 sides

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.

_____

A rhombus is a special case of parallelogram in which adjacent sides are the same length.

A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.

__

An alternate route to the same conclusion is ...

A rectangle is a special case of parallelogram in which vertex angles are 90°.

A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.

What is the range of the following set of data?
4, 8, 3, 5,5,7,6,4

Answers

Step-by-step explanation:

4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8

42 divided 8

5,25

cmiiw!

To find range subtract the smallest # by the largest number. So 8 - 3 = 5
5 is the range for this set.

Y= 2/3x + 2. Y= 3/5x + 3. Graph equations

Answers

One square = 1 unit

Answers are on paper.
I put them on separate graph

The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds could be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?

Answers

Answer:

Step-by-step explanation:

Your answer

816 dollars

Mark it as Brainlist answer. Follow me.

Tell whether the ordered pair is a solution to the system of linear equations. 1 point
63 + 3y = 12
(5.-6):
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3
Forms
Tell whether the ordered pair is a solution to the system of linear equations
Yes
No
Maybe

Answers

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

[tex]6x + 3y = 12[/tex]

[tex]4x + y = 14[/tex]

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

[tex]6x + 3y = 12[/tex] becomes

[tex]6 * 5 + 3 * -6 = 12[/tex]

[tex]30-18 = 12[/tex]

[tex]12 = 12[/tex]

[tex]4x + y = 14[/tex] becomes

[tex]4 * 5 - 6 = 14[/tex]

[tex]20 - 6 = 14[/tex]

[tex]14 = 14[/tex]

Because both solutions are true, then (5,-6) is a solution

A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.

Answers

Answer:

[tex]600, 900, 1350[/tex]

Step-by-step explanation:

Given

[tex]a = 400[/tex] -- initial subscribers

[tex]b = 1.5[/tex] -- growth factor

Required

Determine the number of subscribers in the next three months

To do this, we make use of:

[tex]y = ab^x[/tex]

In this case:

x is the number of months

y is the number of subscribers

So:

when x = 1;

[tex]y = ab^x[/tex]

[tex]y = 400 * 1.5^1[/tex]

[tex]y = 400 * 1.5[/tex]

[tex]y = 600[/tex]

when x = 2

[tex]y = 400 * 1.5^2[/tex]

[tex]y = 400 * 2.25[/tex]

[tex]y = 900[/tex]

when x= 3

[tex]y = 400 * 1.5^3[/tex]

[tex]y = 400 * 3.375[/tex]

[tex]y = 1350[/tex]

So, the next three number of subscribers is:

[tex]600, 900, 1350[/tex]

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