Answer:
<u>Jack has at least 15 marbles: 12 red, 2 blue and 1 yellow.</u>
Step-by-step explanation:
1. Let's review the information given to us to solve the problem correctly:
Number of red marbles = 10 more than blue marbles
Number of yellow marbles fewer than blue marbles
2. How many of each color marble could Jack have?
r = Number of red marbles
b = Number of blue marbles
y = Number of yellow marbles
r = b + 10
y < b
If y = 1, then b ≥ 2, and r = b + 10,
fulfilling the three conditions, we have:
<u>y = 1, b = 2, and r = 12</u>
<h3>Answer: Choice D</h3>
4x - 3y = 15
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Explanation:
The two points (-1,-1) and (2,3) are marked on the line
Let's find the slope of the line through those two points.

The slope is 4/3 meaning we go up 4 and to the right 3.
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Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.
Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

Equation A has a slope of -3/4 and not 4/3 like we want.
Therefore, this answer choice is crossed off the list.
Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.
- slope of equation B is 3/4
- slope of equation C is -4/3
- slope of equation D is 4/3
We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.
You can use graphing tools like Desmos or GeoGebra to confirm the answer.
Your answer is -2 as the axis of symmetry is at -b/2a. So if you were to expand the equation, you would get y= x^2/4 +x -6 where b is 1 and 2a is ½ . Therefore -1 / ½ gives you -2
Answer:
Butterflies
Step-by-step explanation:
Thanks