Answer:
f(x)
Step-by-step explanation:
the function f(x) crosses the y-axis higher than either of the other functions, therefore it has the largest y-intercept
Answer:
The third answer is correct.
Step-by-step explanation:
A function must have an output for every input and answer number 3 is the only one that has a unique output for every input.
You need to do this in several steps.
1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.
1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x
2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x
3) Set the areas equal and solve for x
x^2 + 2x = 12x
x^2 - 10x = 0
x(x - 10) = 0
x = 0 or x = 10
Since a width cannot be 0, we discard x = 0, and keep x = 10.
4) The length is x + 2 = 10 + 2 = 12
The width is x = 10
The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44
The perimeter is 44 cm.
Answer:
Because the triangle is isosceles, the base angles are congruent. Since the sum of angles in a triangle is 180° we can write:
24 + x + x = 180
24 + 2x = 180
2x = 156
x = 78°
She planned to have 44 flowers per vase (176/4). 7 vases would mean 308 flowers.
