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AnnyKZ [126]
3 years ago
12

What model describes the relationship between miles driven and the total cost of a rental car when you pay $50.00 per day and $0

.25 per mile?
Mathematics
1 answer:
Triss [41]3 years ago
3 0

Answer:

Model: y=0.25x+50

Step-by-step explanation:

Let x represents cost per miles and y represents total cost.

If we pay $50.00  per day and 0.25 per mile

Per mile cost = $0.25

For x miles cost = 0.25x

y-intercept: (0,50)

Using above information the required equation,

y=0.25x+50

Hence, The model y=0.25x+50 show the relationship between miles driven and the total cost for a rental car.

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I need help with this question
zvonat [6]

Answer:

Option B is correct

Step-by-step explanation:

Given:

f(x) = -20x^2 +14x +12 and

g(x) = 5x - 6

We need to find f/g and state its domain.

f/g = -20x^2 +14x +12/5x - 6

Taking -2 common from numerator:

f/g = -2(10x^2 - 7x - 6) / 5x -6

Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6

Putting in the above equation

f/g = -2(10x^2 - 12x +5x -6)/ 5x -6

f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6

f/g = -2 ( (2x+1)(5x-6))/5x-6

cancelling 5x-6 from numerator and denominator

f/g = -2(2x+1)

f/g = -4x -2

The domain of the function is set of all values for which the function is defined and real.

So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.

So, Option B is correct.

8 0
3 years ago
Read 2 more answers
Mark dropped an object from a bridge 400 feet above the ground level with an initial velocity of 0. He knows that the gravitatio
lisabon 2012 [21]

Answer:

The first listed equation is the correct equation to solve

The correct answer is: t = 5 seconds

Step-by-step explanation:

Let me mention first that there is an error in the statement that the gravitational pull of the Earth is 16 ft/s^2. It is in fact 32 ft/s^2, and the actual equation uses half of the acceleration multiplied by the square of the variable time, so it gives as final expression :

y(t)=-16\,t^2+ 0 \,t +400

and we want to find the value/s for "t" that make this equation equal zero (when it reaches the ground and the object just touches the ground. This makes the equation we want to solve:

0=-16\,t^2+ 0 \,t +400\\16\,t^2+0\,t -400=0

which solving for "t" becomes:

16\,t^2-400 =0\\16\,t^2=400\\t^2=\frac{400}{16} \\t^2=25\\t= +/- 5\,\,sec

So we adopt the positive answer (positive time) since the negative value has no physical meaning for this problem.

That is: t = 5 seconds

6 0
3 years ago
Carlita will visit 14 cities
Tanya [424]

Answer:

$52091.95

Step-by-step explanation:

From the given information:

The number of  cities visited = 14

Cost of each cooking demonstration = $3450

The total cost of cooking demonstration = $3450 × 14

= $48300

Book signing material = $1475

∴

The total cost of cooking demonstration and book material is:

= $48300 + $1475 = $49775 ---- (i)

Total meter traveled in visiting 14 cities = 240 * 13 = 3120 miles

However; suppose the weekly rental fee fine = $x  &

the change per mile = $y

Then

y*540 + x = 1188.15    --- (ii)

y*880 + x = 1310.55   --- (iii)

From equation (ii) and (iii)

y *340 = 122.4

y = 122.4/340

y = 0.36

From (ii)

y × 540 + x = 1188.15

(0.36)540 + x = 1188.15

x = 1188.15 - (0.36)540

x = 993.75

Hence, the total cost of travelling by RV camper = $1993.75 + 3120 × (0.36)

= $2116.95

Thus, the total amount the publisher should budget = $49975.0 + $2116.95

= $52091.95

8 0
2 years ago
I need the reasons for this
rusak2 [61]

Answer:

Reflexive Property

ASA

CPCTC

Step-by-step explanation:

4 0
2 years ago
C and D are mutually exclusive events. Find P(C or D).<br> P(C)= 3/7= P(D)= 4/7<br> P(C or D)
IgorLugansk [536]

Answer:

P(C\ or\ D) = 1

Step-by-step explanation:

Given

P(C) = \frac{3}{7}

P(D) = \frac{4}{7}

Required

P(C\ or\ D)

Since the events are mutually exclusive, then:

P(C\ or\ D) = P(C) + P(D)

So, we have:

P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}

Take LCM

P(C\ or\ D) = \frac{3+4}{7}

P(C\ or\ D) = \frac{7}{7}

P(C\ or\ D) = 1

3 0
3 years ago
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