Which property is used in the statement?

A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the

mihalych1998 [28]

We can let x be the number of boxes sold for the first week. We can as well express the number of boxes for the second and third week through x using the statements provided.

Since the girl scout sold 5 more boxes on the second week, we have (x + 5) number of boxes sold for the second week. Now, for the third week, since it's double that of the second week, we have 2(x + 5). Thus, we have the following:

first week: x
second week: x + 5
third week: 2(x + 5)

Given that the total number of boxes sold for the three weeks is 431. We have

x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2x + 10 = 431
4x + 15 = 431
4x = 431 - 15
4x = 416
x = 104

We have now the value of x. Using this, we can find the values for the second and third week.
x + 5 = `104 + 5 = 109
2(x + 5) = 2(109) = 218

Answer:
first week: 104
second week: 109
third week: 218

5 0

3 years ago

Which pair of functions have the same domain? A. F(x)= sin x and g(x) = tan x B. F(x) = cos x and f(x) = csc x C. G(x) = tan x a

EastWind [94]

Answer:

The correct choice is D

Step-by-step explanation:

The trigonometric functions, $\sin x$ and $\cos x$ are defined for all real numbers.

$\tan x=\frac{\sin x}{\cos (x)}$ , this function is not defined where $\cos x=0$ .

$\cot x=\frac{\cos x}{\sin (x)}$ , this function is not defined where $\sin x=0$ .

$\csc x=\frac{1}{\sin (x)}$ , this function is not defined where $\sin x=0$ .

For option A

The domain of $f(x)=\sin(x)$ is all real numbers.

The domain of g(x) =tanx is $x\ne \frac{(2n+1)\pi}{2}$

For option B

The domain of $f(x)=\cos(x)$ is all real numbers.

The domain of f(x) =csc(x) is $x\ne n\pi$

For option C,

The domain of G(x) =tanx is $x\ne \frac{(2n+1)\pi}{2}$

The domain of f(x) =cot(x) is $x\ne n\pi$

For option D;

The domain of f(x) =cot(x) is $x\ne n\pi$

The domain of f(x) =csc(x) is $x\ne n\pi$

3 0

4 years ago

Read 2 more answers

Which statement best describes the relationship between x and y in the equation y = 3x? A. The value of y is three less than the

7nadin3 [17]

Answer:

b

Step-by-step explanation:

Y is three times the value of x , It can be said that y is directly proportional to Y .

Direct proportion is when an increase in the independent variable causes an increase in the dependent variable.

the equation for direct proportion is :

y = bx

y = dependent variable

b = constant

x = independent variable

8 0

3 years ago

Which expression is equivalent to (2^5)^-2

irinina [24]

<u><em>1/1024 is the correct answer.</em></u> First you had to apply exponent rule, and it gave us, $\frac{1}{(2^5)^2}$ , or $2^5^*^2$ . Then you can also refine, and it gave us, $2^10$ , or $\frac{1}{2^10}$ . And it gave us the answer is $2^1^0=2*2*2*2*2*2*2*2*2*2=1024$ , or 1/1024 is the correct answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie