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cupoosta [38]
3 years ago
8

Compute the function table Draw the graph of each function f(x) = 2x+1

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Answer:

<u>Function Table</u>

<u>x     |   f(x)</u>

0     |   1

1      |   3

2     |   5

View Image For Graph

Step-by-step explanation:

This function follows the general equation for the slope-intercept formula:

y = mx + b

m is the slope, which is how much the graph move up whenever to move to the right by 1. In our case, our slope is m=2, so every time we move right by 1, we have to move up by 2.

b is the y-intercept. it's basically the starting point when x is 0. In our case, b=1 so we start at (0, 1)

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Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to b
ZanzabumX [31]

Complete question :

Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let x represent the number of games played and let y represent the total cost.

Bowl-O-Rama rents shoes for $2 and each game cost $2.50

Bowling Pinz rents shoes for $4 and each game cost $2

Answer:

Bowl-O-Rama:

y = $2 + $2.50x

Bowling pinz:

y = $4 + $2x

Step-by-step explanation:

The total cost is the sum of shoe rental plus the product of the unit game rate and the number of games played.

Total cost, y

x = number of games played

Bowl-O-Rama:

y = Shoe rent + (unit rate per game * number of games)

y = $2 + ($2.50 * x)

y = $2 + $2.50x

Bowling Pinz :

y = Shoe rent + (unit rate per game * number of games)

y = $4 + ($2 * x)

y = $4 + $2x

3 0
2 years ago
The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp
Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}

Using that formula, you may prove that d(C,E) = d(D,F), which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}

You can use this formula to prove that

m_{CE} = -\cfrac{1}{m_{DF}}

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

y-y_0 = m(x-x_0)

where (x_0,y_0) is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}

And use again the formula for the distance between two points to prove that

d(A,C) = d(A,D) = d(A,E) = d(A,F)

4 0
3 years ago
Pls help I dont get it​
iragen [17]

Answer:

y=4x

Step-by-step explanation:

The equation of a line is y=mx+b, where m is the slope and b is the y intercept.

The slope formula is Δy/Δx, so using the coordinates (1, 4) and (2, 8), the slope is \frac{8-4}{2-1} which equals 4.

The y intercept is 0.

Therefore, the equation is y=4x.

8 0
3 years ago
The tens digit is 2 less than the one's digit and the sum of the digits is 8
Basile [38]

it going to be 18 because the number is two less than ones digits and the sum of the digit is 8

4 0
3 years ago
Emilio by 5.65 pounds of green grapes and 3.07 pounds of red grapes. He divided the grapes equally into 14 bags, each bag of gra
Mazyrski [523]

Answer:

5.65+3.07=8.72

8.72/16=0.545

Each bag of gapes weight 0.545 pounds.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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