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Firlakuza [10]
2 years ago
13

A car travels at a constant speed of 60 miles per hour. The distance, d, the car travels in miles is a function of time, t, in h

ours given by d(t)
Mathematics
1 answer:
scZoUnD [109]2 years ago
8 0

The equation of distance traveled by the car is d(t) = 60 · t, for t ≥ 0.

<h3>What is the equation of the distance travelled by a car?</h3>

In accordance with the statement, car travels in a <em>straight</em> line at <em>constant</em> speed. The distance traveled (d), in miles, is equal to the product of the speed (v), in miles per hour, and time (t), in hours:

d(t) = v · t     (1)

If we know that v = 60 mi/h, then the equation of distance traveled by the car is d(t) = 60 · t, for t ≥ 0.

<h3>Remark</h3>

The statement is incomplete and complete form cannot be found. Then, we decided to complete the statement by asking for the equation that describes the distance of the car.

To learn more on linear equations: brainly.com/question/11897796

#SPJ1

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Answer:

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Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form: 15√15−15√5+15√3−15

Decimal Form: 35.53449264…

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2 years ago
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Nesterboy [21]

Answer:

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Step-by-step explanation:

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2 years ago
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A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?
erastovalidia [21]

Answer:

x=5\ and\ y=-8

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

y=-x-3

5x+2y=9

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the y values in terms of x from the equation y=-x-3 into the other equation to solve for x

Substituting y=-x-3 into 5x+2y=9.

We have:

5x+2(-x-3)=9

<em>Using distribution.</em>

5x-2x-6=9

<em>Combining like terms.</em>

3x-6=9

Adding 6 both sides.

3x-6+6=9+6

3x=15

Dividing both sides by 3.

\frac{3x}{3}=\frac{15}{3}

∴ x=5

<em>Plugging in x=5 into y=-x-3.</em>

We have,

y=-5-3

∴ y=-8

The solution of the system can be given as (5,-8).

4 0
3 years ago
find the coordinates of the vertex of the following parabola algebraically. write your answer as an (x,y) point..y=x²+9
Alexandra [31]

Explanation:

using the parabola formula:

y = a(x-h)² + k²

vertex = (h, k)

We are given a parebola equation of: y = x²+9

comparing both equations to get the vertex:

y = y

a = 1

(x-h)² = x²

x² = (x + 0)²

(x-h)² = (x + 0)²

h = 0

+k = +9

k = 9

The vertex of the parabola as (x, y): (0, 9)

3 0
1 year ago
How does the graph of g(x) = (x + 4)3 − 6 compare to the parent function f(x) = x3?
Solnce55 [7]

Answer:

g(x) is shifted 6 units to the left

Step-by-step explanation:

Lets try to simplify g(x) since has a few extra terms:

g(x)= 3x+12-6=3x+6

Now it is easier to compare the two functions.

We can tell that they both have the same slope, both differs on a extra term

This term tell us that the g(x) is shifted to the left (it is positive 6)

Another approach to the solution is to plot the two functions together by obtaining the crossing points with the 'y' axis and with the 'x' axis

the result is shown in the attached picture

4 0
3 years ago
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