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3 years ago

What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?

Mathematics

1 answer:

levacccp [35]3 years ago

6 0

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope. it is expressed as ratio of y change / x change when going from one point to another.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b.

we see costs is on the y axis, and miles is on the x axis.

so what points do we identify on the chart for the green taxi ?

there is right on the y-axis (0, 5). which is already our y-intercept.

and then let's pick e.g. the point where both lines intercept : (3, 8).

for the slope we look at the coordinate changes :

x changes by +3 (from 0 to 3).

y changes by +3 (from 5 to 8).

so, the slope is 3/3 = 1.

and again, the y- intercept is +5.

therefore, the line equation is

y = x + 5

meaning the cost of a fare is the number of miles plus 5.

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The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

3 years ago

The wilsons have triplets and another child who is ten years old. The sum of ages of their children is 37. How old are the tripl

Neko [114]

9. The child is 10 years old, which leaves 37-10, which is 27. Divide 27 by three for the triplets. 27/3 is 9. The triplets are 9 years old

3 0

3 years ago

Read 2 more answers

The measure of the exterior angle of the triangle is what degree?

RSB [31]

Answer:

92°

Step-by-step explanation:

By exterior angle theorem:

$(2x - 2) \degree = x \degree + 45 \degree \\ \\ (2x - 2 - x) \degree = 45 \degree \\ \\ (x - 2) \degree = 45 \degree \\ \\ (x - 2) = 45 \\ \\ x = 45 + 2 \\ \\ x = 47 \\ \\ (2x - 2) \degree = (2 \times 47 - 2)\degree \\ \\ (2x - 2) \degree = (94 - 2)\degree \\ \\ (2x - 2) \degree = 92\degree \\ \\ measure \: of \: the \: exterior \: angle \\ = 92 \degree$