Express the sum or difference as a product: cos 4x

Let $f(x) = 12x^9 + x$. Find $f(3) + f(-3)$.

BlackZzzverrR [31]

Answer:

Ok, here goes: f(3) means take f(x) and plug in 3 wherever we see x. So

f(3) = 12*39 + 3 = 236196 + 3

f(3) = 236199

Likewise, f(-3) means take f(x) and plug in (-3) wherever we see x. So

f(-3) = 12*(-3)9 + (-3) = -236196 - 3

f(-3) = -236199

Putting those two things together, we get

f(3) + f(-3) = 236199 - 236199 = 0

Step-by-step explanation:

7 0

2 years ago

Find the value of the expression 3m^2+2p^2-15 when m =3 and p = 10

mylen [45]

$3m {}^{2} + {2p}^{2} - 15$
m = 3
p = 10

$3 \times 3 {}^{2} + 2 \times {10}^{2} - 15 =$
$3 \times 9 + 2 \times 100 - 15 =$
$27 + 200 - 15 =$
$212$

Hence, the answer is 212.

5 0

3 years ago

120 - 40 divided by 4 x 6 write 2 steps and then answer and i will give u brainliest

astra-53 [7]

Answer:

your answer is 10/3 (fraction)

Step-by-step explanation:

120-40=80

4 x 6=24

80/24=

first divide both sides by four and get 20/6
then divide by 2 to get 10/3 (fraction form)

5 0

3 years ago

Read 2 more answers

Can you please help me solve and if you show work I would really appreciate it

Anettt [7]

You got the equations correct, great job on that!

Let "s" be the variable that represents how many shirts were bought. Let "p" represent the total price/cost.

Equation for the store at Town Center mall:

p = 80 + 3.5s (80 is base cost, and cost increases 3.5 per shirt)

Equation for the store in Arlington:

p = 120 + 2.5s (120 is base cost, and cost increases 2.5 per shirt)

We want to find a point where the systems are equal; thus, we are solving for a system of linear equations, and we already have the equations we need.

p = 80 + 3.5s

p = 120 + 2.5s

We know that variable "p" is equal for both equations; thus, we can combine both equations into:

80 + 3.5s = 120 + 2.5s

Subtract both sides by 2.5s

80 + 3.5s - 2.5s = 120 + 2.5s - 2.5s

80 + s = 120

Subtract both sides by 80

s = 40

Thus, both equations are equal when 40 shirts are bought.

To find the cost, use any of the two equations (or both) to find the total cost, which should be equal.

p = 80 + 3.5(40) = 220

p = 120 + 2.5(40) = 220

Thus, the total price/cost at both stores is $220.

Let me know if you need any clarifications, thanks!

8 0

3 years ago

A Pac-Man poster is the shape of three-fourths of a circle with a diameter of 18 inches and two sides that are 9 inches each. Wh

slava [35]

Answer:

60.39 inches

Step-by-step explanation:

Given that:

A Pac-Man poster which is having three fourth of a circle and there are two sides.

Diameter of circle = 18 inches

Sides of Pac-Man poster = 9 inches

To find:

Perimeter of the Pac-Man poster.

Solution:

Perimeter of a figure is nothing but equal to the periphery i.e. the outer area of the circle/figure.

Perimeter of a circle is given by the formula:

Perimeter = $2\pi r$

$r$ is the radius of the circle.

Radius is half of perimeter.

$r=\dfrac{18}{2} = 9\ inches$

Perimeter of the Pac-Man poster = Perimeter of $\frac{3}{4}$ circle + 2 sides

Perimeter of the Pac-Man poster = $\frac{3}{4}\times 2\times \pi \times 9$ + 9+9 = 42.39+28 = <em>60.39 inches</em>

7 0

2 years ago

Express the sum or difference as a product: cos 4x - cos 6x