Answer:
The volume of the prism B will double
Step-by-step explanation:
The parent function is giveb by the equation that is
<span>f(x)=|x|
</span><span> the domain and range of the parent function of an absolute value equation will be
</span><span> domain: all real numbers, range: all real numbers greater than or equal to zero
</span>so correct option is B
hope it helps
So,
We have three placeholders.
x, y, and z will represent the number of cookie boxes they sold for the first, second, and third weeks, respectively.
"The girls sold 5 more boxes the second week than they did the first."
x + 5 = y
"They doubled the sales of the second week for the third week."
z = 2y
"To sell a total of 431 boxes of cookies"
x + y + z = 431
Now we have our three equations.
x + 5 = y
z = 2y
x + y + z = 431
Obviously, we can substitute y and z in the last equation, because the other two open sentences tell us what they are.
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2(x + 5) = 431
Collect Like Terms.
2x + 5 + 2(x + 5) = 431
Distribute.
2x + 5 + 2x + 10 = 431
Collect Like Terms.
4x + 15 = 431
Subtract 15 from both sides.
4x = 416
Divide both sides by 4.
x = 104
Now we can use the other two original sentences to figure out what y and z are.
x + 5 = y
104 + 5 = y
109 = y
z = 2y
z = 2(109)
z = 218
Now, to check, add x, y, and z.
x + y + z = 431
104 + 109 + 218 = 431
213 + 218 = 431
431 = 431 This checks.
The Girl Scouts sold 104 cookie boxes on the first week, 109 boxes on the second week, and 218 boxes on the third week.
Complementary and adjacent.
The two angles are complementary because they add up to 90°. It's given that line JL is perpendicular to line MN, and perpendicular means they form a 90° angle where they intersect.
The two angles are adjacent because they are next to each other.
x + y = 4(1 + y) + y = 4 1 + 2y = 4 1 - 1 + 2y = 4 2y = 4 y = 2
-x = -1 + y-x = -1 +2
-x = 1
.... that's as far I can go... sorry
