2. Graph each equation using a table of values. (a)) y = 3x - 1
1 answer:
Make an x and y table, and pick any values to plug in for x in the equation.
I will use the numbers from -2 to 2
Now plug in the values you picked for x into the equation to find its y-value
x = -2
y = 3x - 1 Plug in -2 for x
y = 3(-2) - 1
y = -6 - 1
y = -7
x = -1
y = 3x - 1
y = 3(-1) - 1
y = -3 - 1
y = -4
Do the same for the rest of the numbers, and graph each point and draw a line connecting them.
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Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width =
Area = l*w =
Use derivative test
I derivative =
II derivative =
Equate I derivative to 0 and consider positive value only since we want maximum
p =
Thus width=
Length =
Width =
Answer: A committee of 5 students can be chosen from a student council of 30 students in 142506 ways.
No , the order in which the members of the committee are chosen is not important.
Step-by-step explanation:
Given : The total number of students in the council = 30
The number of students needed to be chosen = 5
The order in which the members of the committee are chosen does not matter.
So we Combinations (If order matters then we use permutations.)
The number of combinations of to select r things of n things =
So the number of ways a committee of 5 students can be chosen from a student council of 30 students=
Therefore , a committee of 5 students can be chosen from a student council of 30 students in 142506 ways.