Solve for x −7.8(x+6.5)=−25.74

I need help with this practice I am having a tough time solving it properly

Monica [59]

Given:

There are given that the parent functions as a cosine function:

Where,

The amplitude of the function is 9.

The vertical shift is 11 units down.

Explanation:

To find the cosine function, we need to see the standard form of the cosine function:

$f(x)=acos(bx+c)+d$

Where,

a is the amplitude of the function,

Now,

According to the question:

The amplitude of the function is 9, which means:

$f(x)=9cos(bx+c)+d$

The vertical shift is 11 units down, which means:

$f(x)=9cos(bx+c)-11$

For period:

$\begin{gathered} f(x)=-9cos(\frac{12\pi}{7}x+0)-11 \\ f(x)=-9cos(\frac{12\pi}{7}x)-11 \end{gathered}$

Final answer:

Hence, the cosine function is shown below;

$f(x)=-9cos(\frac{12\pi}{7}x)-11$

4 0

1 year ago

BRAINLIEST!!!

goldenfox [79]

Answer: $\frac{8}{17}$ or 8:17

Step-by-step explanation:

For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-

$\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}$

Given: A right triangle with hypotenuse = 68 units

The side adjacent to S = 60

Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get

$(68)^2=60^2+h^2\\\\\Rightarrow\ h^2=68^2-60^2\\\\\Rightarrow\ h^2=1024\\\\\Rightarrow\ h=\sqrt{1024}=32$

Thus, the side opposite to S = 32 units

Now, the trigonometric ratio for sin S is given by :-

$\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}$

Hence, the trigonometric ratio for sin S = $\frac{8}{17}$ or 8:17

5 0

3 years ago

Shelby is decorating a rectangular ballroom ceiling with garland. Beginning in a corner, Shelby strings garland along length of

Liono4ka [1.6K]

Answer:

since the room is rectangular and has 4 sides

2 sides have the same length

18*2= 36m

80*2=160m

then add the sums...

the answer is 196 meters

Step-by-step explanation:

3 0

3 years ago

Hey everyone. I need the answer to this ASAP!: Michael knows that 2 cans of paint is the exact amount he needs to paint a 10-foo

Ivahew [28]

Answer:

See attachment for graph

Step-by-step explanation:

Given

$2 cans = 10ft\ by\ 12ft$

Required

Graph the relationship between both parameters

First, calculate the area;

$Area = 10ft * 12ft$

$Area = 120ft^2$

This implies that: (2, 120) i.e. 2 cans for 120ft^2.

So we have:

(0,0) and (2,120)

(0,0) implies that: 0 cans for 0 square feet

Calculate the slope:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{120 - 0}{2-0}$

$m = \frac{120 }{2}$

$m = 60$

The equation is:

$y = m(x - x_1) + y_1$

So, we have:

$y = 60 * (x - 0) + 0$

$y = 60 * (x )$

$y = 60 x$

<em>See attachment for graph</em>

4 0

3 years ago

What is the equation of the translated function, g(x), if

ICE Princess25 [194]

Answer:

D

Step-by-step explanation:

g(x) = (x+4)^2 +6

3 0

3 years ago