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Papessa [141]
3 years ago
14

Please help 15 points

Mathematics
1 answer:
kvasek [131]3 years ago
3 0

Answer:

infinitely many solutions

Step-by-step explanation:

Let's first eliminate y^2.  

To accomplish this, divide the 2nd equation by 5, obtaining

y^2 = 5/2 - x^2.  Now substitute this result for y in the first equation:


(-1/3)x^2 = -5/6 + (1/3)(5/2 - x^2), or

-x^2       -5         5        x^2

-------- = ------ + ------- -  --------    and this simplifies to:

    3         6          6         3

-x^2         x^2

------- = - -------    which is an identity and is thus always true.

  3             3

Thus, any value of x will satisfy this equation; there are infinitely many solutions.


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The number of people , d, in thousands applying for medical benefits per week in a particular city can be modules by the equatio
Mekhanik [1.2K]

Answer:

<h2>4773 peoples.</h2>

Step-by-step explanation:

Given the number of people d, in thousands applying for medical benefits per week in a particular city c modeled by the equation d(t)=2.5 sin(0.76t+0.3)+3.8 where t is the time in years, the maximum number of people tat will apply will occur at d(t)/dt = 0

Differentiating the function given with respect to t, we will have;

d(t)=2.5 sin(0.76t+0.3)+3.8

First we need to know that differential of any constant is zero.

Using\ chain\ rule\\\frac{d(t)}{dt} = 2.5cos(0.76t+0.3) * 0.76 + 0\\ \\\frac{d(t)}{dt} = 1.9cos(0.76t+0.3)

If \frac{d(t)}{dt} =0 then;

1.9cos(0.76t+0.3) = 0\\\\cos(0.76t+0.3)  = 0\\\\0.76t+0.3  = cos^{-1} 0\\\\0.76+3t = 90\\\\3t = 90-0.76\\3t = 89.24\\\\t = 89.24/3\\\\t = 29.75years

To know the maximum number of people in thousands that apply for benefits per year in the city, we wil substitute the value of t = 29.75 into the modeled equation

d(t)=2.5 sin(0.76t+0.3)+3.8\\d(29.75) = 2.5 sin(0.76(29.75)+0.3)+3.8\\d(29.75) = 2.5 sin(22.61+0.3)+3.8\\\\d(29.75) = 2.5 sin(22.91)+3.8\\\\d(29.75) = 0.9732+3.8\\d(29.75) = 4.7732\\\\

Since d is in thousands, the maximum number of people in thousands will be 4.7732*1000 = 4773.2 which is approximately 4773 peoples.

3 0
3 years ago
Which ordered pair is a solution to this equation?
ElenaW [278]
For (11, 1): (11 + 3)1 = 14(1) = 14
For (5, 2): (5 + 3)2 = 8(2) = 16 ≠ 14
For (7, 2): (7 + 3)2 = 10(2) = 20 ≠ 14
For (3, 2): (3 + 3)2 = 6(2) = 12 ≠ 14

Therefore, (11, 1) is a solution to this equation.
8 0
3 years ago
Find the value of x. A. 53–√ m B. 241−−√ m C. 6 m D. 6+35–√ m
dalvyx [7]

Answer:

<h2>x = 2√41 m</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

a² = b² + c²

where a is the hypotenuse

From the question x is the hypotenuse

So we have

<h2>{x}^{2}  =  {8}^{2}  +  {10}^{2}</h2><h2 /><h2>{x}^{2}  = 64 + 100</h2><h2 /><h2>{x}^{2}  = 164</h2>

Find the square root of both sides

We have the final answer as

<h3>x = 2√41 m</h3>

Hope this helps you

6 0
3 years ago
Read 2 more answers
1/7x7=1 what property is that
Wewaii [24]

Identity property of multiplication

Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.

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(5) Math problem with picture
lesantik [10]
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5 0
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