Answer:
- vertex (3, -1)
- y-intercept: (0, 8)
- x-intercepts: (2, 0), (4, 0)
Step-by-step explanation:
You are being asked to read the coordinates of several points from the graph. Each set of coordinates is an (x, y) pair, where the first coordinate is the horizontal distance to the right of the y-axis, and the second coordinate is the vertical distance above the x-axis. The distances are measured according to the scales marked on the x- and y-axes.
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<h3>Vertex</h3>
The vertex is the low point of the graph. The graph is horizontally symmetrical about this point. On this graph, the vertex is (3, -1).
<h3>Y-intercept</h3>
The y-intercept is the point where the graph crosses the y-axis. On this graph, the y-intercept is (0, 8).
<h3>X-intercepts</h3>
The x-intercepts are the points where the graph crosses the x-axis. You will notice they are symmetrically located about the vertex. On this graph, the x-intercepts are (2, 0) and (4, 0).
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<em>Additional comment</em>
The reminder that these are "points" is to ensure that you write both coordinates as an ordered pair. We know the x-intercepts have a y-value of zero, for example, so there is a tendency to identify them simply as x=2 and x=4. This problem statement is telling you to write them as ordered pairs.
Answer:
y=3/2(x)+4
Step-by-step explanation:
Because line AB is perpendicular to line BC, the slope of AB is equal to 3/2. Substituting (-2,1) into the new equation gives us "1=3/2(-2)+b" which simplifies to 1=-3+b. This means that b=4.
Answer:
44 marbles.
Step-by-step explanation:
Each received 6 marbles so that is a total of 6*7 = 42 marbles.
As there were 2 left over the total = 42 + 2 = 44 marbles.
Answer: Pacco is right
Step-by-step explanation: 1st cube:
42 ft^2 2nd cube: 52 ft^2 3rd cube: 62 ft^2
42+52+62=156 ft^2 156 ft^2<160 ft^2
Answer:
Carl can save <u>3 cents</u> when he buys a 16 ounce package.
Step-by-step explanation:
Given:
16 ounce package of trial mix = $9.87
1 ounce of trial mix he can make = 65 cents.
We need to find whether Carl will save money if he buys the 16 ounce package.
Solution;
Now we will find the Cost for 1 ounce of trial mix when he buys 16 package of trial mix.
16 ounce package of trial mix = $9.87
1 ounce of trial mix = Cost of 1 ounce of trial mix when a package of 16 ounce of trial mix is bought.
Using Unitary method we get;
Cost of 1 ounce of trial mix when a package of 16 ounce of trial mix is bought. =
Now from above we can see that;
When a package of 16 ounce of trial mix is brought then 1 ounce of trial mix cost 62 cents while when he prepares his own trial mix the cost of 1 ounce of trial mix is 65 cents.
So we can say that;
Carl can save <u>3 cents</u> when he buys a 16 ounce package.