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
The answer is x=-7
8x-7x-2=-9
8x-7x=-9+2
-7
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:

Where,
a is the amplitude of the function,
Now,
According to the question:
The amplitude of the function is 9, which means:

The vertical shift is 11 units down, which means:

For period:

Final answer:
Hence, the cosine function is shown below;
Answer:
180 square inches
Step-by-step explanation:
Area, A is given by A=0.5bh where b is base and h is height. Since both of these dimensions are provided then we substitute the given figures into the formula. Substituting 12 inches for base, b and 30 inches for height, h then the area will be equivalent to
A=0.5*12*30=180 square inches.
Therefore, the area of the described triangle is 180 square inches.
Answer:
45 
Step-by-step explanation:
Multiply 9 · 10 = 90 then divided by 2 = 45