Answer:
A. The positive y-intercept.
D. The y-intercept is negative.
Step-by-step explanation:
The proportional relationship is defined by the graph passing through the origin i.e. the y-intercept is equal to zero.
The equation of y proportional to x relationship is y = kx, which again denotes that the graph passes through the origin (0,0).
Now, the statements that can describe the graph of a non-proportional relationship are
A. The positive y-intercept.
D. The y-intercept is negative. (Answer)
Answer: there are 25 red flowers in Sakura's garden.
Step-by-step explanation:
In Sakura's garden, for every 5 red flowers, there are 10 yellow flowers. This means that if there are 10 red flowers, there would be 20 yellow flowers. if there are 20 red flowers, there would be 40 yellow flowers. Therefore, the ratio of red flowers to yellow flowers in the garden is
5/10 = 10/20 £= 20/40 = 1/2 = 1:2
Total ratio = 2 + 1 = 3
If there are 75 total red and yellow flowers, then the total number of red flowers are in Sakura's garden would be
1/3 × 75 = 25
Answer:
30.72
Step-by-step explanation:
Answers:
x = 100
y = 25
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Explanation:
Angle y and the 25 degree angle are corresponding angle. Because the lines are parallel, this means that y = 25
Check out the attached image. Using a red pen, I extended one of the lines to form a triangle. From the alternate interior angle theorem, we know that one of the angles of the triangle is 75 degrees (alternate interior angles are congruent). Again this stems from the fact that the lines are parallel.
I've also introduced the variable z to help find x. The angles x and z add up to 180 degrees since they form a straight line. So we need to find z before we can find x.
The triangle's angles 25, 75, z add up to 180. Let's solve for z
25+75+z = 180
100+z = 180
z = 180-100
z = 80
Use this to find x
x+z = 180
x+80 = 180
x = 180-80
x = 100
1. 4x - 8 + 2x + (-5x) + x^2 - 3 = 4x - 8 + 2x - 5x + x^2 - 3...now, we just combine like terms....lets group them...it will be easier ...x^2 + (4x + 2x - 5x ) - 8 - 3 = x^2 + x - 11
2. 2x + 5x = 8x
3. 2r + 4 + 3x - 2 = 3x + 2r + (4 - 2) = 3x + 2r + 2
4. 3x - 2y - x + 5y = (3x - x) + (5y - 2y) = 2x + 3y
5. 2y^2 - 8y^3 + 5y - 5y^2 + 4y^3 = (4y^3 - 8y^3) + (2y^2 - 5y^2) + 5y =
-4y^3 - 3y^2 + 5y