2 years ago

Let f(x) = 5x ^ 2 - x + 1 and g(x) = - 3x . Evaluate the composition (fg)(1)

Mathematics

2 answers:

ANEK [815]2 years ago

8 0

9514 1404 393

Answer:

-15

Step-by-step explanation:

(fg)(1) = f(1)×g(1) = (5×1² -1 +1)×(-3·1) = (5)×(-3)

(fg)(1) = -15

nlexa [21]2 years ago

5 0

F(x) = 5(-3x) ^2 - (-3x) + 1
f(x) = -8x ^2 + 3x + 1
f(x) = -8x ^3 + 3x

You might be interested in

PLSS HELP IF YOU TURLY KNOW THISS

coldgirl [10]

Answer:

x = 7

Step-by-step explanation:

$7x = 49$

$7x \div 7 = 49 \div 7$

$x = 49 \div 7 = 7$

$\boxed{\green{x = 7}}$

3 0

2 years ago

Read 2 more answers

Beach Cruises prints brochures and fliers to advertise their dolphin watching tours. To print, the brochure requires three pages

Nimfa-mama [501]

Answer:

500 divided by 80 equals 6.25. 6.25 divided by 100 equals 0.0625

Step-by-step explanation:

500 divided by 80 equals 6.25. 6.25 divided by 100 equals 0.0625

6 0

2 years ago

A water tank that holds 30 gallons of water when full is leaking 3/4 gallon of water every hour. If no one notices and stops the

viva [34]

It will take 40 hours for the water tank to become empty.

Explanation:
Divide 30 by 0.75 (equivalent to 3/4).

7 0

2 years ago

The shapes shown are stored into groups according to the number of line of symmery move the rest of the shapes to the correct gr

VARVARA [1.3K]

Answer:

can you show the shapes

Step-by-step explanation:

8 0

2 years ago

What is the center of the ellipse x2+5y2–45=0?

jeka94

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

$\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1$

Where center is at point (h,k)

From the equation of $\displaystyle{x^2+5y^2-45=0}$ . First, we add 45 both sides:

$\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}$

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

$\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}$

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

8 0

2 years ago