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

A scientist wants to measure out .62liters of a liquid, but she can only find a beaker that measures volume in milliliters. How many milliliters should she measure to equal .62liters?

Answers

Answer:

620 milliliters

Step-by-step explanation:

1 milliliter= 0.001 liters

0.62L= move the decimal point 3 places to the left

0.62

06.2

062.

0620.

620 milliliters

factor the expression-15x +39​

Answers

Answer:

3(5−13)

Step-by-step explanation:

..............

Answer:

-3(5x-13)

Step-by-step explanation:

The greatest common factor is 3 and you want the # with the variable to be positive, usually, so just factor -3 out and that's what you get.

Your friend has one week to pay the $26 fine for a parking ticket. After that, the fine Increases $7 each week. ​

Answers

I don’t know what exactly you are trying to ask? But this equation would be an example of exponential growth.

if x is subtracted from 5 and the result is greater than 15. Find the range of values of x

Answers

Answer:

x<-10

Step-by-step explanation:

You can write this inequality:

5-x>15

Solving it:

5-x>15

-x>10

x<-10

Sketch the graph of y=4x2^+32x+15 using your graphing calculator. What are the x intercepts of this graph?

Answers

Answer:

x= -15/2 or -7.5

x= -1/2 or -0.5

Step-by-step explanation:

please make me brainliest

Answer:

Not C

Step-by-step explanation:

wrong

if you guess what 81 ➗ 918 =
ill give brainiest

Answers

Answer:

918 ➗ 81

Step-by-step explanation:

Answer:

It's about 0.088.

Find the missing side. Round
to the nearest tenth.
Х
141
43°
у
X=[?]

Answers

Answer:

x = 206.7

Step-by-step explanation:

law of sines:

sin 90° / x = sin 43° / 141

sin 43° · x = 141

x = 141 / sin 43°

The measure of the length of the hypotenuse is 206.75 and the measure of the length of the base is 151.20 units.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The perpendicular is 141 and the angle opposite to the perpendicular is 43 degrees. Then the value of the base and hypotenuse will be

The length of the base will be

[tex]\rm \dfrac{141}{y} = \tan 43^o\\\\y\ \ \ = \dfrac{141}{ \tan 43^o}\\\\y \ \ \ = 151.20[/tex]

Then the length of the hypotenuse will be

[tex]\rm x = \dfrac{141}{\sin 43^o}\\\\x = 206.75[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

f(x) = x? – x3
Select the value of f(-2)
4
-12
12
A
B
C D

Answers

Step-by-step explanation:

f(x) = x² - x³

f(-2) = (-2)² - (-2)³

= 4 - (-8)

= 4 + 8 = 12

Please write these in a fraction form, thank you have an AMAZING day!

1. 2/5 ÷ 1/3= ?
2. 3/4 ÷ 1/2= ?​

Answers

Answer:

1 = 1 1/5

2=1 1/2

Step-by-step explanation:

Can someone please help me with continuity? I would like to check my work, I’m a bit confused on the differentiability part

Answers

For f to be continuous at some point x = c, you require that

f(c) exists and is finite, and

• the limits of f as x approaches c from either side match, and their value must be f(c)

For f to be differentiable at x = c, you require that

f is continuous at c (i.e. the above conditions are all met), and

• the derivative f ' is continuous at c

Without having the graph of f ', you can assess whether the last condition is met by some function by mentally tracing a tangent line to the graph as you get closer to c. If the slope of the tangent doesn't change, then the function is differentiable. This is usually accompanied by jumps or sharp corners in the graph.

Some examples:

• every polynomial is both continuous and differentiable

• the absolute value function |x| is continuous but not differentiable at x = 0

• 1/x is neither continuous nor differentiable at x = 0

(a) Neither continuous nor differentiable

Why? f has a vertical asymptote at x = -2 and f (-2) does not exist. f is not continuous, and therefore not differentiable.

(b) Neither continuous nor differentiable

Why? From the left, f is approaching 2.5, while from the right, it's approaching 5.

(c) Neither continuous nor differentiable

Why? The limits from either side of x = 2 match and are equal to 0.5, but f (2) itself does not exist (which is indicated by the point being a hollow circle).

If the circle was instead filled in, so that f (2) = 0.5, then f would be continuous there, but still not differentiable. Notice the sharp corner. Or, using the tangent-line analysis, the slope of the tangent to the left of x = 2 is negative, but to the right it would be positive.

(d) Both continuous and differentiable

Why? f doesn't have any special features at x = 3 that would suggest it's not continuous nor differentiable.

(e) Neither continuous nor differentiable

Why? Similar reasoning as in (a). There's another vertical asymptote, but the graph shows f (4) = 1. However, the limits from either side of x = 4 are positive infinity, not 1.

HELP HELPOPPPP-EWOPW0E HELP PLSSSSS

Answers

Answer:

6 more girls than boys

Step-by-step explanation:

5 out of 12 are boys  (multiply both sides of equation by 3 because 3x12 = 36)

7 out of 12 are girls   (multiply both sides of equation by 3 because 3x12 = 36)

so: 15 out of 36 are boys

so: 21 out of 36 are girls

21-15 = 6 more girls than boys

Answer: There are 6 more girls than boys

Step-by-step explanation:

To find how many more girls there are we need to find what one block equals to.

We use this equation to find it.

36 = ( 5 + 7 )x

36 = 12x

3 = x

or

x = 3 (same thing)

So each block represents 3 girls/boys

The girls have 2 more meaning there are 6 more girls than boys.

PLEASE PLEASE HELP ASAP 30 POINTS AND WILL GIVE BRAINIEST

what is the measure of angle ABC
What is the measure of angle CBE
what is the measure of angle DBE
What is the measure of angle ABD​

Answers

Answer:

hope this is what u want

and don't mind my handwriting I wrote it as fast as I could

3.) The ratio of dogs to cats at the animal shelter is 4:1. If there are a total of 85 dogs and cats
at the shelter, how many dogs are at the shelter?

Answers

Answer:

Step-by-step explanation:

The ratio of dogs to cats is

quantities relative to each other. There are two cats and one dog. This means there are twice as many cats as dogs, or half as many dogs as cats.

...

Equivalence.

cats : dogs

8 : 4

Answer:

d

Step-by-step explanation:

yes

Ally and Beck went fishing and caught a total of 75 fish. At home,
Ally told Jair she caught twice as many fish as she actually caught.
Beck told Jair he caught three times as many fish as he actually
caught. If what they told Jair had been true, then Ally would have
caught 75 fewer fish than Beck. How many fish did Beck actually
catch?

Answers

Answer:

Beck actually caught 45 fish

Step-by-step explanation:

System of Equations

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75      [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75      [2]

From [1]:

x = 75 - y      [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

Answer:

Beck caught 45 fish

Step-by-step explanation:

a = number of fish Ally caught

b = number of fish Beck caught

They caught a total of 75 fish, so we have:

b + a = 75  

From the facts in our question we know Ally would have caught 75 fewer fish than Beck.

3b = 2a + 75  

a = 75 - b

3b = 2(75 - b) + 75

3b = 150 - 2b + 75

5b = 225

5b ÷ 5 = 225 ÷ 5

b = 45

Beck caught 45 fish.

Can anyone help me pweeezzzz

Answers

Answer:

17

Step-by-step explanation:

ABC, which is 9z - 1, and CBD, which is 6z + 58, make up ABD, which is a total of 87 degrees.

in order to find the measurement of ABC, you first need to solve for z.

since ABC and CBD make up ABD, add those measurements and set them equal to 87, which is the measure of ABD.

9z - 1 + 6z + 58 = 87

combine like terms starting with the z terms. (it doesn't matter which like terms you combine first)

9z - 1 + 6z + 58 = 87 ⇒ 15z - 1 + 58 = 87

combine the next set of like terms.

15z - 1 + 58 = 87 ⇒ 15z + 57 = 87

subtract 57 from both sides of the equation. it'll cancel itself out on the left, leaving you with 15z = 30 after subtracting 57 from 87.

divide both sides of the equation by 15.

15z/15 = 30/15z = 2

now, plug in 2 for z in each of your equations for the measurements of ABC and CBD.

ABC = 9z - 1 ⇒ 9(2) - 1 ⇒ 18 - 1 ⇒ 17

CBD = 6z + 58 ⇒ 6(2) + 58 ⇒ 12 + 58 ⇒ 70

now, your measurements are

ABD: 87

ABC: 17

CBD: 70

check your work by adding the measurements of ABC and CBD and setting them equal to ABD, or 87.

17 + 70 = 87

87 = 87

since both sides of the equation are equal to 87, you know that your measurements are correct.

therefore, the measure of ABC is 17 degrees.

A small water bottle holds 75% as much as a larger water bottle, if the smallholds 36 units, how much does a large hold

Answers

Answer:

48 units

Step-by-step explanation:

36 is 75% of what number

36 = .75n

n = 36/.75

n = 48

I need points because I’m 70 assignments behind

Find the y intercept and x intercept of the line below.

Answers

X intercept is 4

Y intercept is -2

Hope this helps

Plsss help I suck at math and I’m sure one of you are super smart ‍♀️

Answers

Answer:

3

Step-by-step explanation:

-14x  - 7 + 5y - x = -14x - x - 7 + 5y

                         = -15x - 7 + 5y

Answer:

Step-by-step explanation:

3

If 210 people said football was their favorite sport to watch, how many people were surveyed? 42% said football.

Answers

Answer:

500 people surveyed

Step-by-step explanation:

210 / 42 = 5

5 x 100 = 500

Answer:

500 people were surveyed

Step-by-step explanation:

Let the total number of people surveyed be x

42% said football was their favorite sport to watch

=> 42/100 x = 210

=> x = (210 × 100) / 42

=> x = 21000 / 42

=> x = 500

Therefore, 500 people were surveyed.

Hope it helps :)

Please mark my answer as the brainliest

If the cost of 10 tables is $750. Find the number of tables that can be purchased with $8250.

Answers

Your answer is 110. You take 10 and divide it by 750. = 75 then you take 75. Divided 8250. = 110


Jack is going to make treat bags to hand out on
Halloween. He is going to put a variety of candy in each
bag. To make 4 treat bags he will need 24 candies. How
many candies will he need to make 10 treat bags?

Answers

Answer:

60 candies

Step-by-step explanation:

60 candies will be needed to make 10 treat bags;)

Explanation:
Since there are 24 candies for 4 treat bags, you divide the amount of candies into the 4 bags. This gives you 6 candies per bag. Multiply 6 by 10(number of treat bags) to get 60.;)

solve and receive brain list ​

Answers

Answer:

x = 19/22

Step-by-step explanation:

8x-12+36x = 26

44x - 12 = 26

44x = 38 (add 12 on both sides)

x = 19/22 (divide bot sides by 44 and simplify)

find the product (a + 3)(a - 2)

Answers

Answer:

a2 + a − 6

Step-by-step explanation:

the a with the 2 beside of it is to the power of

Julie drank 2/3 liter of water monday before going jogging she drank 5/7 liter of water after her jog how much water did julie drink altogether answer in mixed number

Answers

Answer:

1 8/21

Step-by-step explanation:

5/7 = 15/21

2/3 = 14/21

15/21+14/21=29/21

Which of these polygons is not a regular polygon?
B
С
D
А
B
A

Answers

Answer:

B. A regular polygon is a shape with sides that are all equal to each other.

We see that for shape B, the sides are not equal to each other, as some sides are longer than others.

Hope this helps!

Team A scored the following points per game 20,17,25,25,13,25,12,25,25 and 23 team B scored the following points per game 25,25,9,10,25,11,25,15,10 and 25 what is the mean of team A and team B

Answers

Answer:

Mean of team A = 21

Mean of team B = 18

Step-by-step explanation:

Formula:

Mean = Sum of values / Number of values

Calculations:

[tex]A = \frac{20+17+25+25+13+25+12+25+25+23}{10} = \frac{210}{10} = 21[/tex]

[tex]B = \frac{25+25+9+10+25+11+25+15+10+25}{10} =\frac{180}{10} =18[/tex]

Mean of team A = 21

Mean of team B = 18

The model below is shaded to represent 7 3/10

Answers

Answer:

blue 7.3

Step-by-step explanation:

Answer:

7.3

Step-by-step explanation:

There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3

Which side lengths form a right triangle?
Choose all answers that apply:
A
3.4.5
B
7.8.9
3.9.95

Answers

Answer:

A. 3.4.5

Step-by-step explanation:

I looked it up and it forms a right angle.

If m∠4 = 101.9°, find each of the following in degrees.
(a) m∠5
(b) m∠8

Answers

Answer:

m<5=101.9    m<8=101.9

Step-by-step explanation:

alternate interior and vertical angles

Answer:

(a) m∠5=<4[alternate angle]=101.9°,

(b) m∠8=<5[vertically opposite angle]=101.9°,

If 11 times a number is added to twice the number, the result is 78.

Answers

The answer is 6. 6*11=66. 6*2=12. 12+66=78.

Answer:

x = 6

Step-by-step explanation:

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