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sweet [91]
2 years ago
11

You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial,

your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled.
Mathematics
1 answer:
Alona [7]2 years ago
3 0

Full question:

Linear Functions: Taking a Taxi

You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial, your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled. If you have $11 in your pocket, will you be able to take the cab 5 miles?

Answer:

Cannot go 5 miles having just $11

Step-by-step explanation:

Since the cost varies linearly with the distance that you traveled, to model the linear function for this problem we know that

1 mile = $4.75

And so to go x miles, we require $4.75x

Equation can therefore be modelled thus :

y=4.5x

Where y = total cost of transport in dollars

x= cost in dollars per mile

To find out if we can go 5 miles just having $11, we plug in 5 miles for x into the equation to find total cost of transport going 5 miles

y=4.5*5

y= $22.5

Therefore we cannot go 5 miles just having $11

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PLEASE HELP LATS MATH PROBLEM <br> A, B and C
Llana [10]

Answer:

a) Set up triangles where the hypotenuse is 16ft (the ladder) and one of the two edges are 1, 2, 3, 4, 5ft (the base of the ladder).  Use a^2 + b^2 = c^2 where a is the base length, c is the hypotenuse and b is the value you are trying to find.

Ex w/ 1ft base:

1^2 + b^2 = 16^2

1 + b^2 = 256

b^2 = 255

b = 15.97ft.

b) Simply take your answers from part a) and add 5.5ft (the height of the girl) to them.

Ex w/ 1ft base:

15.97ft + 5.5ft = 21.47ft

c) Using logic here think about it.  Let's take the 1ft base as the example.  Marissa standing on top of the ladder is 21.47ft.  That's clearly not high enough to reach the cat . . . but what happens if Marissa reaches upwards.  As long as her arms can reach roughly 1.53ft above her head she should be able to reach it.

Step-by-step explanation:

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8 0
2 years ago
What are the solutions of the quadratic equation 4x^2-8x-12=0
Wewaii [24]

Answer:

<h3>          x₁ = -1,   x₂ = 3</h3>

Step-by-step explanation:

4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3

6 0
3 years ago
1
zmey [24]

Answer:

Part 1) The inequality that represent this situation is 5(x+7)^{2} \geq1,050  or  5x^{2}+70x+245 \geq1,050

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ---->  the width of Andrew's tablet

we know that

L=5W ------> equation A

W=x+7 ----> equation B

The area of the television is

A=LW -----> equation C

Substitute equation A and equation B in equation C

A=5(x+7)(x+7)

A=5(x+7)^{2}

5(x+7)^{2} \geq1,050

5(x^{2}+14x+49) \geq1,050

5x^{2}+70x+245 \geq1,050 ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

5(8+7)^{2} \geq1,050

5(15)^{2} \geq1,050

1,125 \geq1,050 -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

3 0
3 years ago
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kicyunya [14]

Answer:

  not a function; (2, -2) and (2, 2)

Step-by-step explanation:

A vertical line has the same x-value for all of its y-values. Only the last answer choice lists two points on a vertical line. They also happen to be points on the graph, so it is NOT a function.

__

Any vertical line in the x-interval (-3, 3) will pass through the segments y=-2 and y=2. Vertical lines at x=-3 or x=3 will pass through an infinite number of points between y=-2 and y=2.

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3 years ago
What is in simplest form?
viktelen [127]

Answer: 3/5 i think ;-; if its not well then uhhhhh sorry?

Step-by-step explanation:

3 0
3 years ago
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