if f(x) = 4x^4-6x^3+2x+4 and g(x) = 5x^3 -7x^2 -3x +7 what is (f-g) (x)
PLEASE HELP!

If F(x) = 4x^4-6x^3+2x+4 And G(x) = 5x^3 -7x^2 -3x +7 What Is (f-g) (x)PLEASE HELP!

Answers

Answer 1

Answer:

h 6

Step-by-step explanation:

Answer 2

Answer:

option 4

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 4[tex]x^{4}[/tex] - 6x³ + 2x + 4 - (5x³ - 7x² - 3x + 7) ← distribute parenthesis by - 1

= 4[tex]x^{4}[/tex] - 6x³ + 2x + 4 - 5x³ + 7x² + 3x - 7 ← collect like terms

= 4[tex]x^{4}[/tex] - 11x³ + 7x² + 5x - 3


Related Questions

If 2 is subtracted from 3 times a number , the result is 25.Find the number?

Answers

Answer:

3x-2=25

x=9. .

Answer:

9

Step-by-step explanation:

One afternoon, Olive, who is 2 feet 3 inches tall, casts a shadow that is 6 feet 1 inch long. At the same time of
the day, a nearby tree casts a shadow that is 12 feet long. Olive reasons she can figure out the height of the
tree.
What is the height of the tree in feet? Round your answer to the nearest tenth of a foot.

Answers

2×12=24

24+3= 27

12*12=144

144/24=6

What are the x-intercepts of the function f(x)=(x + 1)(x + 4)?

A) (0, 5)
B) (-4,0) and (-1,0)
C) (4,0) and (−3,0)
D) (4,0) and (1,0)

Answers

Answer:

B

Step-by-step explanation:

To find the x- intercepts let f(x) = 0 , that is

(x + 1)(x + 4) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x + 1 = 0 ⇒ x = - 1

The x- intercepts are (- 4, 0 ) and (- 1, 0 )

B because x =-1 and -4 make f(x)=0

Simplify the expression.

49 1/2 - 4 1/2

Answers

Answer:45

Step-by-step explanation:

49 1/2 - 4 1/2 = 45.....

HOPE IT HELPS!!

point Y is the circumcenter of triangle DEF which statement is true about point Y

Answers

Answer:

If Y was the center, it wouldn't be possible for a circle to pass through all 3 points; L, M and N. Statement 4 is the true answer, as it is possible for a circle to pass through all 3 points; D, E and F if Y was the center. Also, Y is the circumcenter of triangle DEF, so this statement must be true.

Please help ASAP due soon

Answers

Answer:61

Step-by-step explanation:

Horace had 1/4 of the tank of gas in his car. He used 1/8 of the gas running errands. How much gas was left in tank?

Answers

you can just do 1/4-1/8! find common denominator and its easy

Can someone please help me

Answers

Answer:

28/43

Step-by-step explanation:

The question asks what is the probability that Marley picks out a blue or yellow marble.

In total, there are 43 marbles.

In total, there are 28 blue and yellow marbles. (18+10=28)

So, the answer would be 28/43

Hope this helps

WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior​

Answers

2 and 6 are alternate exterior and 4 is corresponding interior

A survey asked 25 students about their favorite sport. A frequency table of their responses is below.

Basketball
4.
Football
7
Lacrosse
3
Soccer
8
Volleyball
3

Which of the following is the correct relative frequency table for the students' favorite sport?

Basketball
0.16
Football
0.32
Lacrosse
0.12
Soccer
0.28
Volleyball
0.12

Basketball
0.16
Football
0.28
Lacrosse
0.12
Soccer
0.32
Volleyball
0.12

Basketball
0.04
Football
0.07
Lacrosse
0.03
Soccer
0.08
Volleyball
0.03

Basketball
4.
Football
7
Lacrosse
3
Soccer
8
Volleyball
3

Answers

Answer:

25.5 / 3 = 8.5

Step-by-step explanation:

8.5 times more student prefer basketball over soccer

Answer:

d

Step-by-step explanation:



A total of 22 dimes and nickels have a value of $1.90. If d represents the number of dimes and n represents the number of nickels, which system of equations models this situation?








A.

d + n = 1.9
0.1d + 0.05n = 22

B.

d + n = 22
0.1d + 0.05n = 1.9

C.

d + n = 1.9
0.1d + 0.5n = 22

D.

d + n = 22
0.1d + 0.5n = 1.9

Answers

Answer:

Answer: d + n = 22 and 0.1 d + 0.05n = 1.9 Step-by-step explanation: Let d be the number of dimes and n the number of nickels. Total dimes = 22 Therefore, d + n = 22 1 dime = 10 cents = 0.1 1 nickel = 5 cents = 0.05 Value of 22 dimes = $ 1.90 So , 0.1d + 0.05n = 1.9 Therefore, d + n 22 and 0.1d + 0.05n = 1.9 models the given% D% 3D situation. Leave a comment Send It might interest you

Answer:

B. d + n = 22 and 0.1 d + 0.05n = 1.9

Step-by-step explanation:

Which of the two functions below has the smallest minimum y-value?
f(x) = x5 - 2
g(x) = 3x2 + 1
A. The y-values for f(x)and g(x) both go to -
B. There is not enough information to determine
C. g(x)
O D. f(x)

Answers

Answer:

They have no minimum y -value

The minimum value for y belongs to f(x) at x=0 and function f(0)=(-2), Option D is correct.

The given function f(x)= x⁵-2

Differentiating the function we get,

5x⁴=0

x=0

Therefore, f(x)=f(0)=0-2=(-2)

Now function g(x)=3x²+1

Differentiating the function we get,

6x=0

x=0

Therefore, g(x)=g(0)=0+1=1

The minimum value for y belongs to f(x) at x=0 and f(0)=(-2)

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I need help or my math teacher will call my parents up about it and I will die

Answers

Answer:

113mm^2

Step-by-step explanation:

Firstly work out the area of the pink circle using πr^2, which is the area of a process.

So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.

Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.

72π - 36π = 36π

36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2

Determine the number of solutions 3x + 1 = 4x - 2
A) One solution
B) Infinitely many solutions
C) No solution

Answers

Answer:

one solution

Step-by-step explanation:

1. 1=4x-2-3x

2. 1=x-2

3. 1+2=x

4. 3=x

Dominic wants to find the distance between his house on one side of the park and his school on the other side. He marks off a third point forming a right triangle, as shown in the diagram. The distances in the diagram are measured in yards. Use the Pythagorean Theorem to find the distance from Dominic’s house to the school. Sho

Answers

Answer:

The distance from the house to the school is 500 units

Step-by-step explanation:

The distance we want to calculate represents the hypotenuse of the right triangle

So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse

The base side measures (350-50 = 300 units)

The measure of the height is (450-50 = 400 units)

Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have it that;

h^2 = 300^2 + 400^2

h^2 = 90,000 + 160,000

h^2 = 250,000

h = √250,000

h = 500 units

Please tell me how to find the Slope of lines, (or do one for me) [I’ll try to help you back]

Answers

The slope of a line often referred to as the ([tex]\frac{rise}{run}[/tex]) is the rate of change in a line. It can be found using the following formula.

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

Where ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line. For each problem, substitute the points on the line into the formula and solve for the slope.

1. [tex]\frac{1}{2}[/tex]

(0, 2), (-2, 1)

[tex]=\frac{1-2}{-2-0}\\\\=\frac{-1}{-2}\\\\=\frac{1}{2}[/tex]

2. 2

(-2, -1), (0, 3)

[tex]=\frac{3-(-1)}{0-(-2)}\\\\=\frac{3+1}{0+2}\\\\=\frac{4}{2}\\\\=2[/tex]

3. 4

(1, 0), (2, 4)

[tex]=\frac{4-0}{2-1}\\\\=\frac{4}{1}\\\\=4[/tex]

4. 1

(6, 2), (2, -2)

[tex]=\frac{-2-2}{2-6}\\\\=\frac{-4}{-4}\\\\=1[/tex]

5.[tex]\frac{3}{5}[/tex]

(-1, 1), (4, 4)

[tex]=\frac{4-1}{4-(-1)}\\\\=\frac{3}{4+1}\\\\=\frac{3}{5}[/tex]

6. [tex]\frac{1}{3}[/tex]

(-7, 4), (2, 1)

[tex]=\frac{4 -1}{2-(-7)}\\\\=\frac{3}{2+7}\\\\=\frac{3}{9}\\\\=\frac{1}{3}[/tex]

7. 0

(5, -3), (-2, -3)

[tex]=\frac{-3-(-3)}{-2-5}\\\\=\frac{-3+3}{-7}\\\\=0[/tex]

8. [tex]\frac{7}{5}[/tex]

(-3, 2), (2, 7)

[tex]=\frac{7-2}{2 - (-3)}\\\\=\frac{7}{2+3}\\\\=\frac{7}{5}[/tex]

9. 8

(2, 16), (3, 24)

[tex]=\frac{24-16}{3-2}\\\\=\frac{8}{1}\\\\=8[/tex]

what is the length of the diagonal of the screen,in feet?

Answers

Answer:

12.2

Step-by-step explanation:

pls help me i don’t get this

Answers

Answer:

I think choose (c)

4x+1/x²-5

What is the radius of a hemisphere with a volume of 920 ft^3 to the nearest tenth of a foot?

Answers

Answer:

7.6 ft

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

A hemisphere is 1/2 of  a sphere

V = 1/2 (4/3 pi r^3)

V = 2/3 pi r^3

920 = 2/3 pi r^3

Multiply each side by 3/2

920 * 3/2 = 3/2 * 2/3 pi r^3

1380 = pi r^3

Divide each side by pi

1380/pi = pi r^3 / pi

1380/ pi = r^3

Using pi as 3.14

1380/3.14 = r^3

439.4904459= r^3

Taking the cube root of each side

(439.4904459)^(1/3)= r^3^(1/3)

7.602967711=r

To the nearest tenth

7.6 = r

radius=7.6ft

Answer:

Solution given:

radius [r]=?

Volume of hemisphere=920ft³

⅔*πr³=920

r³=920*3/(2π)

r³=439.267

r=[tex]\sqrt[3]{439.267}=7.6ft[/tex]

HELP! Drag each value to the correct location on the equation. Not all values will be used.
The number of archaeological sites discovered in a country over time, x, can be represented by the function S(x) = 2(1.1)x. The approximate number of artifacts found in each site over time, x, can be represented by the function A(x) = (1.1)5x + 2.

Create the function, T(x), that best describes the total number of artifacts found in archaeological sites in the country after x years.

Answers

Answer:

huh

Step-by-step explanation:

?

The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]

What is exponential function?

An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.

Time period = x years

The number of archaeological sites discovered in a country  in x years = S(x) = [tex]2(1.1)^{x}[/tex]

The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]

The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]

Learn more about exponential function here

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Someone please help me ASAP!

Answers

Answer:

x + 1 y+1

Step-by-step explanation:

it translated 1 unit up the x axis and 1 unit y axis

Answer:

reflected across the y-axis and translated 1 to the right and 1 up

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

13

Step-by-step explanation:

Product is multiply

h * 5 = 65

Divide 5 on both sides

h * 5 = 65

/5 /5

h = 13

4,756 rounded to the nearest thousand is

Answers

4,756 rounded to the nearest thousand is 5,000.

Answer:

rounded to the nearest thousands 4,756 is 5,000 since 7 is higher then 4 so it rounds up

what is the value of the expression 6ab - b3 , if a=1 and b=2?

Answers

Answer:

6

Step-by-step explanation:

6(1×2) - 3(2)

6×2 - 6

12-6

= 6

here you go

please help with mine

which choice is equivalent to the quotient below

Answers

Answer B is the correct answer

You want to buy the largest pizza in Northern Utah. You find a pizza that measures
75.36in around. What is the area that the pizza covers?

Answers

Answer:

451.7in^2

Step-by-step explanation:

You first need to determine the radius of the circle. This can be done by taking the circumference and dividing it by 2pi:

[tex]r=\frac{75.36in}{2\pi } = 11.99 in[/tex]

Now that you have the radius, you can plug it into the formula for the area of a circle (this is assuming the pizza is perfectly round):

[tex]A=\pi r^2=\pi (11.99^2)=451.7in^2[/tex]

The area that covers the circular pizza is: 451.64 in.²

What is the Area and Perimter of a Circle?

Area = πr²

Perimeter = 2πr, where r is the radius of the circle.

Given the following:

Perimeter of the circular pizza = 75.36 in.

Find the radius:

2πr = 75.36

r = 75.36/2π

r = 11.99 in.

Find the area:

Area = π(11.99)²

Area = 451.64 in.²

Learn more about the area of a circle on:

https://brainly.com/question/12269818

Ms. MacDonald raises rabbits. She starts with 4 rabbits. After a few months, she
counts 4 times as many rabbits. The next time she counts, she has 4 times as
many rabbits as she did at the previous count.
How many rabbits does Ms. MacDonald now have? Select the correct
exponential expression and its value.
1 of 4 QUESTIONS
43 = 64 rabbits
O 43 - 12 rabbits
O 34 = 81 rabbits
O 34 = 12 rabbits

Answers

Answer:

4^3 = 64

Step-by-step explanation:

Starting rabbit : 4

1st time counting : 4 x 4 = 16

2nd time counting : 16 x 4 = 64

Answer = 4^3 = 64

If this helps you, please mark brainliest!

Have a nice day!

y=3x-1
Help pleaseeeeee

Answers

Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

:)

What’s the answer (plz make sure it’s correct

Answers

Answer:

The first one is correct

Step-by-step explanation:

If both sides of the expression are equal, any number given as X would fit, meaning that there are infinitely many solutions.

3. (16.03 LC)
A shape has 2 pairs of parallel sides and no right angles. What shape is it? (4 points)
A. Trapezoid
B. Parallelogram
C. Square
D. Rectangle

Answers

the answer is:
B. parallelogram

(i hope this is right)
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