1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexeev081 [22]
3 years ago
12

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³           - 7x + 4

(b) Create a subtraction problem using the two functions

        ƒ(x) =    9x³ + 2x² - 5x + 4

      -g(x) =  <u>-(5x³           - 7x + 4) </u>

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

        ƒ(x)   =    9x³ + 2x² - 5x + 4

      -g(x)  =   <u>-(5x³          -  7x + 4) </u>

ƒ(x) -g(x) =      4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

You might be interested in
Does (0,-5 satisfy the equation y= 2x +5
QveST [7]

Answer:

it does not

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
98 points!!
k0ka [10]

The formula for an exponential equation is y = a * b^x with a and b being a fixed value.

"a" would also be the Y intercept, which is where the graph touches or crosses the Y axis. In the given graph, the curved line touches the Y axis at 100, so the value of a would be 100.

Now we need to find b.

The blue dot at Y 50 is lined up with x = 1, so we can use the point (1,50)

Using the X and Y values we can solve for b:

format: y = a * b^x we replace the letters with the numbers above:

50 = 100 * b^1

b^1 = b so now we have:

50 = 100 *b

Divide both sides by 100 to get b by itself:

b = 50/100, which reduces to 1/2, so b = 1/2

So the equation of the graph becomes y = 100(1/2)^x

You may need to write the 1/2 as 0.5, not sure how you need to enter it.

6 0
3 years ago
Read 2 more answers
Solve the formula s=4pi r^2 for r
andrew11 [14]

Answer:

The formula to find the surface area of a sphere is to take the radius of the sphere and square it and multiply that amount by pi and then multiply that by 4. This is written algebraically as S=4πr2, where S is the surface area, r is the radius, and the value of π is 3.14.

7 0
3 years ago
Aidan drops a rock from a cliff after 4.0s, the rock is moving at 39.2m/s what is the acceleration of the rock
Cerrena [4.2K]

Here,

time=4.0s

velocity=39.2m/s

Formula:

a=v/t

=39.2/4.0

=9.8 (ms-2)

3 0
3 years ago
Solve the math problem
zalisa [80]

Answer:

\frac{4w {}^{8} }{9m {}^{4} }

Step-by-step explanation:

separate with like terms

\frac{4}{9} , \:  \frac{w {}^{9} }{w}  \: and \: \:  \frac{m {}^{5} }{m {}^{9} }

the first fraction can be left alone as it can't be simplified any further

the second fraction can be written as w⁹ ÷ w¹ , when the bases are the same and division is involved subtract the powers: 9 - 1 = 8, so it's simplified to w⁸

the third fraction can be written as m⁵ ÷ m⁹, subtract the powers: 5 - 9 = -4, so it's simplified to m⁻⁴

{m}^{ - 4}  =  \frac{1}{m {}^{4} }

putting it together:

\frac{4w {}^{8} }{9m {}^{4} }

4 0
2 years ago
Other questions:
  • How do scientists use a spectroscope to determine a star's composition? A. They study patterns in light bands that are separated
    11·2 answers
  • Second Geometry B Problem
    6·1 answer
  • Plez help
    15·1 answer
  • How many liters will a container 45cm by 80cm by 36 cm hold?
    6·1 answer
  • Sorry if it is not clear the question asks, Two squares of side x cm are removed from a square of side 3x cm as shown
    15·1 answer
  • Grandpa gump is 63yrs old. His age is 2 years less than 5 times the age of billy Gump. How old is Billy?
    6·1 answer
  • On the world map,the scale is 1/5= 636 miles.The distance is 2 and 1/8 inches.How many miles is it?
    5·1 answer
  • Which statement is false
    15·1 answer
  • It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada
    11·1 answer
  • Look at screenshot answer question and i will mark you brainliest
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!