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soldi70 [24.7K]
3 years ago
13

Which of these situations would best be represented using a quadratic function: the distance driven on a road trip, the path of

a tennis ball hit over the net, or the path of a train on train tracks? Explain why you chose your answer.
Mathematics
1 answer:
melamori03 [73]3 years ago
7 0
Quadratics have the parabola shape.  The distance driven on a road trip and the path of a train on train tracks can be represented linearly.

The path of a tennis ball can be represented by a quadratic function.  
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Mia is ordering 5 identical sandwiches and a bag of chips. The bag of chips costs $1.25, and the entire order costs $38.75. Writ
Greeley [361]

Answer:

The equation that can be use to determine the price of a sandwich is 5x + $1.25 = $38.75

Step-by-step explanation:

The equation that can be use to determine the price of a sandwich is as follows:

Let us assume the price of a sandwich be x

So,

The equation would be

5x + $1.25 = $38.75

5x = $38.75 - $1.25

x = $37.5 ÷ 5

x = $7.5

hence, the equation that can be use to determine the price of a sandwich is 5x + $1.25 = $38.75

3 0
3 years ago
Find the exact value of tan(x-y) if sin x=8/17 cosy = 3/5
jolli1 [7]

To solve the the question we proceed as follows:

From trigonometric laws

(cos x)^2+(sin x)^2=1

(cos x)^2+(sin x)^2=1

sin (x-y)=sin x sin y-sin y cos x

cos (x-y)=cos x cos y+sin x xin y

si  x=\frac{8}{17}

cos x=sqrt(1-(sin x)^2)=sqrt(1-64/289)=sqrt(\frac{225}{289} )=\frac{15}{17}

cos y=\frac{3}{5}

sin x= sqrt(1- (cos x)^2)= sqrt(1-\frac{9}{25} )=sqrt(\frac{16}{25} )=\frac{4}{5}

thus

tan (x-y)=[sin (x-y)]/[cos (x-y)]

=[sin x cos y-sin y cos x]/[cos x cos y+sin x sin y]

plugging in the values we obtain:

[8/17 *3/5-4/5*15/7]/[15/17*3/5+8/17*4/5]

simplifying

[24/85-60/85]/[45/85+32/85]

=-\frac{36}{77}

6 0
2 years ago
One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is
lianna [129]

Answer:

29

Step-by-step explanation:

Let the smaller integer be x.

The other integer is 1 greater than 3 times x, or 3x + 1.

The product is 154.

x(3x + 1) = 154

3x^2 + x - 154 = 0

157 = 2 * 7 * 11

14 * 11 = 154

22 * 7 = 154

(3x + 22)(x - 7) = 0

3x + 22 = 0 or x - 7 = 0

3x = -22 or x = 7

x = -22/3 or x = 7

-22/3 is not a positive integer, so we discard that solution.

The smaller integer is 7.

3x + 1 = 3(7) + 1 = 22

The greater integer is 22.

The sum of the integers is 7 + 22 = 29

5 0
3 years ago
Read 2 more answers
PLEASE HELP ME WITH THESE :) FASTTTT
Vanyuwa [196]

Answer:

Step-by-step explanation:

1 :-4,4

2: 60

3:54.45

4:105

5:77

4 0
3 years ago
Read 2 more answers
Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f.
Alex17521 [72]

The function that is a  tangent to the graph of f is f(x) = (5/4)x^4+60

<h3>What is the concept of integral?</h3>

The definite integral can be interpreted as the resulting area of a region. In addition, it is a value in its result, that is, it does not depend on the variable x, which can be exchanged for any other variable without changing the value of the integral.

Knowing that :

  • 40x + y = 0 is tangent of f(x)
  • slope of the line = -40

therefore, f'(x)|x=a = -40, so only look for a we have:

5a^3 = -40\\a^3 = -8\\a = -2

if, x = -2, then y = 80 (since, 40x + y = 0), therefore, f(x) passes through (-2,80), so in the equation:

f'(x) = 5x^3\\f(x) = (5/4)x^4 + c\\80 = (5/4)(-2)^4 + c\\c = 60

Therefore,

f(x) = (5/4)x^4+60

See more about tangent at brainly.com/question/401236

#SPJ1

4 0
2 years ago
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