Answer:
Rachel's conclusion is valid. The ratios for green beans to total students for the survey and the school form a proportion.
Step-by-step explanation:
Solve using proportions. The format should be "Green beans" on the top, and "Total students" on the bottom.
Simplify the first numerator
Find the <u>common ratio</u>
The common ratio is the number you multiply by to get from the top left to top right. It's the same number the you can multiply the bottom left number by to get the bottom right.
<u>Divide the right side by the left side to find the ratio.</u>
Top: ratio = 240/10 = 24
Bottom: ratio = 600/25 = 24
Since the ratios are <u>the same</u>, they are <u>common</u>.
Therefore the proportion is correct, and Rachel's conclusion is valid.
Answer:
Lines RQ and SP are perpendicular to SR
Step-by-step explanation:
SR are parallel to PQ so that means that RQ and SP are perpendicular to SR
For the answer to the question above, to solve the average increase between hours 2 and 4, first let as solve the the number of student in each hour
x = 2f(x) = 4x -1f(2) = 4(2) - 1f(2) = 7
x = 3f(x) = 4x -1f(3) = 4(3) - 1f(3) = 11
x = 4f(x) = 4x -1f(4) = 4(4) - 1f(4) = 15
increase in hours 2 to 4increase per hour = 15 - 7 / 4 - 2increase per hour = 4 students per hour
Answer:
y = x^2 +6x +8
Step-by-step explanation:
The vertex is located at (-3, -1) and the graph rises 1 unit vertically for 1 unit away from the vertex. This means the scale factor is 1 and the vertex form equation can be written as ...
y = a(x -h)^2 +k . . . . . vertex form with scale factor a, vertex (h, k)
__
y = (x -(-3))^3 +(-1) . . . fill in the values we know
y = (x +3)^2 -1 . . . . . simplify signs
y = x^2 +6x +9 -1 . . . eliminate parentheses
y = x^2 +6x +8 . . . . . your equation in standard form
Answer:
D
Step-by-step explanation: