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timofeeve [1]
2 years ago
8

Ace Taxi Company charges riders $10.00 for a ride and $1.00 per mile for trips. Write an recursive rule describing their income

as it relates to the number of miles they drive. Include domain & initial value where appropriate.
Mathematics
1 answer:
nika2105 [10]2 years ago
5 0

Answer:

10+1x where x is the miles traveled

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Is the relation a function?
Margaret [11]
No; a domain value has two range values.

x = -2 then y = 1 and 2

they would form a vertical line, which tells us that it's not a function
8 0
3 years ago
Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
In-s [12.5K]
PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

(h,k)=(1,-2)

is the vertex of the parabola.

We substitute these values to obtain,


y  + 2 = a {(x - 1)}^{2}

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.


6  + 2 = a {(3 - 1)}^{2}


8= a {(2)}^{2}


8=4a


a = 2
Hence the equation of the parabola in vertex form is


y  + 2 = 2 {(x - 1)}^{2}


PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


y + 2 = 2( {x}^{2}  - 2x + 1)


This will give us,


y + 2 = 2 {x}^{2}  - 4x + 2


y =  {x}^{2}  - 4x

This equation is now in the form,

y = a {x}^{2}  + bx + c
where

a=1,b=-4,c=0

This is the standard form
7 0
3 years ago
I need help with all three letters. thank u
creativ13 [48]

Answer:

Step-by-step explanation:

A to C

y = b + mx

b = y-intercept

m = slope of line

Looking at the line, the line crosses the y-axis at the coordinates (0,0). This means that the y-intercept is 0.

The slope formula is m=(y2-y1)/(x2-x1). Using the points on the line (-1, -3) and (1,3) we find that the slope is, 3.

Looking back we can see that our variables now have value so we can plug them into our formula.

y = b + mx

b = 0

m = 3

Substitute

y = 0 + 3x

4 0
3 years ago
Which equation is a linear function?
Gwar [14]

Answer: y=3*2+2

Step-by-step explanation:

5 0
3 years ago
Can you please help me
miskamm [114]

Answer:it might be D

Step-by-step explanation:

3 0
2 years ago
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