Answer:
Step-by-step explanation:
We want to prove algebraically that:
is a parabola.
We use the relations
and
Before we substitute, let us rewrite the equation to get:
Or
Expand :
We now substitute to get:
This means that:
Square:
Expand:
This is a parabola (0,2.5) and turns upside down.
The values that completes the table are 28, 9, 33, 32 and -3
<h3>Tables and values.</h3>
Tables are used to represents the dependent and independent variable of a function. They are used to formulate function.
From the given table, we are to think of any dependent value and subtract 3 from it to get the equivalent independent value.
From the third column;
a3-3 = 25
a3 = 25 + 3
a3 = 28
For the fourth column
a4 = 12 - 3
a4 = 9
For the fifth column
a5-3 = 30
a5 = 30 + 3
a5 = 33
For the sixth column
a6-3 = 29
a6 = 29 + 3
a6 = 32
For the seventh column
0-3 = a7a
a7 = 0 - 3
a7 = -3
Hence the values that completes the table are 28, 9, 33, 32 and -3
Learn more on table and function here; brainly.com/question/3632175
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Answer:
70/5985
Step-by-step explanation:
We know that a quadrilateral needs to have four vertices (or points on the circle). There are always two ways to link the cross — horizontally or vertically. Using my limited knowledge of combinations, we know that choosing four points out of seven equals 35. Multiplying the two ways to connect those lines (again, horizontally and vertically) makes 35*2 = 70 "bow-tie quadrilaterals" that can be formed on the circle using four points. There are 5985 ways four chords can be chosen out of twenty-five chords because C(25,4) equals 5985, so the probability is 70/5985... and then we just need to simplify that fraction.
Answer:
Step-by-step explanation:
To write a linear function, use y=mx+b where m is the slope and b is the y-intercept. The y-intercept is where the line on the graph crosses the y-axis. On the graph is crosses at (0,-4). So b=-4. To find the slope, subtract the difference between two points on the line which cross through a grid line intersection. (0,-4) is one point. (3,-3) is another.
Input 1/3 and b=-4 into y=mx+b.
