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
Marat540 [252]
3 years ago
12

Find (f-g)(x) for the following functions. f(x) = –12x3 + 19x2 – 5 g(x) = 7x2 + 15

Mathematics
2 answers:
Norma-Jean [14]3 years ago
4 0

<u><em>Answer:</em></u>

(f-g)(x) = -12x³ + 12x² - 20

<u><em>Explanation:</em></u>

<u>We are given that:</u>

f(x) = -12x³ + 19x² - 5

g(x) = 7x² + 15

To compute (f-g)(x), we will simply subtract the two functions

<u>This means that:</u>

(f-g)(x) = f(x) - g(x)

(f-g)(x) = (-12x³ + 19x² - 5) - (7x² + 15)

<u>Now, we compute the subtraction by gathering like terms to simplify the equation</u>

(f-g)(x) = (-12x³ + 19x² - 5) - (7x² + 15)

(f-g)(x) = -12x³ + 19x² - 5 - 7x² - 15

(f-g)(x) = -12x³ + x²(19-7) - 5 - 15

(f-g)(x) = -12x³ + 12x² - 20

Hope this helps :)

Alex_Xolod [135]3 years ago
4 0

Answer:

all work is shown and pictured

You might be interested in
NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho
ehidna [41]

We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix product will be:

\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]

Then we must have:

-b + 2 = 1

This means that:

b = 2 - 1 = 1

  • b = 1

We also need to have:

a*b + 1 = 0

we know the value of b, so we just have:

a*1 + b = 0

  • a = -1

Now the two remaining equations are:

-c + 2d = 0

a*c + d = 1

Replacing the value of a we get:

-c + 2d = 0

-c + d = 1

Isolating c in the first equation we get:

c = 2d

Replacing that in the other equation we get:

-(2d) + d = 1

-d = 1

  • d = -1

Then:

c  = 2d = 2*(-1) = -2

  • c = -2

So the values are:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0
3 years ago
What is 5 thousand 16 hundred 3 tens and 5 ones in standard form?
lara31 [8.8K]
6,635 should be standard form
7 0
3 years ago
Read 2 more answers
Plz ans with steps... Thx!!
Ganezh [65]

Answer:

16

Step-by-step explanation:

Let the 1st part of your answer be x , so the 2nd part will be 40-x . From the given information, we can write the equation: (1/4)x = (3/8) × (40-x) . We can simplify this into (1/4)x = (120-3x)/8 ; 8x = 480-12x ; 8x+12x = 480 ; 20x = 480 ; x = 480/20; x = 24

Therefore, the 1st part = 24

Plug this into your 40-x equation to get: 40 - 24 = 16

3 0
3 years ago
Can anyone solve this for me
emmainna [20.7K]

Answer:

(-2, -4.5)

Step-by-step explanation:

We can solve this equation with substitution.

x=2y+7

3x-2y=3

We can "substitute" 2y+7 for x into the second equation:

3(2y+7)-2y=3

Distribute the 3

6y+21-2y=3

Add like terms

4y+21=3

Subtract 21 from both sides

4y=-18

Divide both sides by 4 to isolate y

y=-4.5

Plug -4.5 back in for y:

x=2(-4.5)+7

x=-9+7

x=-2

(x,y)=(-2,-4.5)

7 0
3 years ago
Nonpermissable replacement for a 4/9a?
My name is Ann [436]
If a=0, then the denominator is equal to 0.  Since you cannot divide by zero, you are not allowed to do this.
Hope This helps!

8 0
3 years ago
Other questions:
  • Please help i'm so confused
    10·1 answer
  • The solution (x, y) to a system of equations is the point where they...?
    11·2 answers
  • A group of students decided to study the sinusoidal nature of tides. The depth of the water level was recorded at various times.
    5·1 answer
  • Write the equation of the line fully simplified slope-intercept form.
    12·1 answer
  • NEED ANSWERS asap !!!!!!!!!!!!!
    7·2 answers
  • The owner offers a payment plan where the total cost of the mountain bike is paid in 3 equal monthly payments. Determine the amo
    11·1 answer
  • Dalinda spins a spinner 60 times the table shows her data
    15·1 answer
  • Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomi
    6·1 answer
  • Its so easy Whats 1 + 1 = ?
    15·2 answers
  • Higher Order Thinking Ten fewer locks
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!