All categories

2 years ago

If f(x)=4x^2-3 and g9x)=x+1, find (f-g)(x)

Mathematics

1 answer:

kiruha [24]2 years ago

5 0

Step-by-step explanation:

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

the same applies to all other basic operations (like addition, multiplication, ...).

so,

(f-g)(x) = 4x² - 3 - (x + 1) = 4x² - 3 - x - 1 = 4x² - x - 4

You might be interested in

The oblique pyramid has a square base. What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3

Olenka [21]

Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -

An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -

$\\Base Area = 2 cm * 2 cm = 4 cm^2,\\Volume ( Pyramid ) = 1 / 3 * ( Base Area ) * ( Height ),\\Volume = 1 / 3 * ( 4 ) * ( 3.75 ),\\-------------------------\\Volume = 5 cm^3$

<u><em>And thus, you're solution is 5 cm^3, or in other words option b!</em></u>

3 0

2 years ago

THE NUMBER 1-10 ARE IN A BAG, YOU TAKE 2 OUT WITHOUT REPLACEMENT. WHAT IS THE PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME

ehidna [41]

Answer:

1 / 18

Step-by-step explanation:

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME = Number of favorable outcome / Total number of outcomes

Favorable outcome = 1

Total number of outcome (1,2,3,4,5,6,7,8,9,10) = 10

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME = 1 / 10

PROBABILITY OF DRAWING AN EVEN NUMBER THE SECOND TIME = Number of favorable outcome / Total number of outcomes

Favorable outcome (2,4,6,8,10) = 5

Total number of outcomes (1,2,3,4,5,6,8,9,10) = 9

PROBABILITY OF DRAWING AN EVEN NUMBER THE SECOND TIME = 5/9

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME AND THEN DRAWING AN EVEN NUMBER = 1 / 10 * 5 / 9 = 1 / 18

6 0

3 years ago

PLEASE HELP ME IN GEOMETRY!!!

puteri [66]

Answer:

7.20

Step-by-step explanation:

triangle is right triangle so other leg of first is 12

5 x 3/5 = 5, so

do 12 x 3/5 to get 7.20

7 0

2 years ago

What is the value of R, what is the value of EF

yarga [219]

9r - 6 = 8r + 3
r = 9
EF = 4r + 19 = 4(9) + 19 = 36 + 19 = 55

hope it helps

4 0

2 years ago

"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is

sukhopar [10]

Answer:

The diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

Step-by-step explanation:

Dimensions of the rectangle

Height = 5cm

Rate of base = 3/2 cm/min

Area = 60cm^2

We know the area of a rectangle of given by = base* Height

b*h = 60

b*5 = 60

b = 12cm

Applying Pythagoras theorem while drawing a diagonal to the rectangle

$b^2 +h^2 = D^2\\$

$5^2 +12^2 = 13^2$

so our diagonal will be 13cm

Upon differentiating the area of the rectangle we get

b*h = A=60cm^2

using the chain rule of differentiation

h*db/dt + b*dh/dt = 0

b*dh/dt = -h*db/dt

12*dh/dt = -5*3/2

dh/dt = -5/8 cm//min

so the height of the rectangle is decreasing at the rate of -5/8cm/min

now we have all the measurements we need

b = 12 , db/dt = 3/2cm/min

h = 5 , dh/dt = -5/8 cm/min

$b^2 +h^2 = D^2$

Upon differentiating we get

2b*db/dt + 2h*dh/dt = 2D*dD/dt

b*db/dt + h*dh/dt = D*dD/dt

12*3/2 + 5*(-5/8) = 13*dD/dt

18 -25/8 = 13*dD/dt

$\frac{144-25}{8}$ = 13*dD/dt

dD/dt = $\frac{119}{104} cm/min$

Therefore the diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

6 0

3 years ago