If ABCD is a square what is m< AEB <br> A) 30° <br> B) 45° <br> C) 60° <br> D) 90°

F(x)=9 x^{3} +2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)? Show all of your steps and write your finial answer in factored f

olasank [31]

Answer:

{ -0.5 - √2, 0, -.5 + √2 }

Step-by-step explanation:

Let's rewrite these two functions in a vertical column:

f(x)=9 x^{3} +2x^2-5x+4

-g(x)=5x^3-7x+4

Now combine (through subtraction) like terms, in order of descending powers of x:

f(x) - g(x) = 4x^ 3 + 2x^2 + 2x

Let's do some preliminary factoring here. Factor 2x out of each term, obtaining

f(x) - g(x) = 2x(2x^2 + x + 1)

First setting 2x = 0, we find that x = 0 is one solution.

Applying the quadratic formula to 2x^2 + x + 1, we see that a = 2, b = 1 and c = 1. Then the two roots of this quadratic are:

-1 plus or minus √(1^2 - 4(2)(1) ) -1 ± √(8)

x = ----------------------------------------------- = ---------------

2(1) 2

This simplifies to:

-1 plus or minus √(1^2 - 4(2)(1) ) -1 ± 2√(2)

x = ----------------------------------------------- = ---------------

2(1) 2

Thus, the roots of f(x) - g(x) are { -0.5 - √2, 0, -.5 + √2 }

7 0

4 years ago

How do u solve this pls help

Leni [432]

Answer is in the picture.

4 0

2 years ago

Rachel rides her bike due east at 9 miles per hour. Amos rides his bicycle due north at 12 miles per hour. If they left from the

Svetach [21]

They will be 15 miles apart after one hour if they left the same point at the same time.

<h3>How do we measure and calculate the distance in Geometry?</h3>

The distance between two points in geometry can be calculated by using the Pythagoras theorem.

Mathematically, the Pythagoras theorem can be expressed as:

$\mathbf{d = \sqrt{x^2 +y^2}}$

where;

x and y are opposite and adjacent sides respectively.

$\mathbf{d = \sqrt{(9)^2 +(12)^2}}$

$\mathbf{d = \sqrt{81+144}}$

$\mathbf{d = \sqrt{225}}$

d = 15 miles

Therefore, we can conclude that they will be 15 miles apart after one hour if they left the same point at the same time.

Learn more about calculating the distance between two points here:

brainly.com/question/7243416

#SPJ1

5 0

2 years ago

When Emily arrived home from school, she spent 8 minutes eating a snack. Then, she spent 15 minutes playing with her dog and 32

ziro4ka [17]

Answer: 1 hour and 40 minutes

Explanation: Add all the time together and you get 100 minutes.

100 - 60 = 40

(I’m not very good at explaining it)

7 0

3 years ago

Read 2 more answers

Determine the truth value of the given conditional statement

seraphim [82]

Answer: A false statement implies a true statement, so the conditional statement is true

Step-by-step explanation:

4 0

3 years ago

If ABCD is a square what is m< AEB A) 30° B) 45° C) 60° D) 90°