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igomit [66]
2 years ago
12

19x+rx=-37+w solve for x

Mathematics
2 answers:
Gennadij [26K]2 years ago
5 0

Answer:

x=\frac{-37+w}{19+r}

Step-by-step explanation:

In this case, we have a polynomial with 3 unknowns.  If we want to solve "x", the polynomial will be a function of the other variables "w" and "r".

To solve this, we identify that we can use factoring by common term with "x".

19x+rx=-37+w

x(19+r)=-37+w

Since on the left side we have a monomial by a polynomial, we can clear the variable x by passing to the right side in the form of division

x=\frac{-37+w}{19+r}

ipn [44]2 years ago
3 0

Factor the left side:-

x (19 + r) = -37 + w

x = ( -37 + w) / (19 + r) Answer


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The closing price (in dollars) per share of stock of tempco electronics on the tth day it was traded is approximated by p(t) = 2
Vaselesa [24]

solution:

The closing price (in dollars) per share of stock of Tempco Electronics on the tth day it was  

traded is approximated by  

P(t) = 20 + 12 sin πt/30 − 6 sin πt/15 + 4 sin πt/10 − 3 sin 2πt/15 (0 ≤ t ≤ 24)  

where t = 0 corresponds to the time the stock was first listed on a major stock exchange.  

What was the rate of change of the stock's price at the close of the 15th day of trading?  

P'(t) = 12(cos πt/30) - 6 (cos πt/15) + 4(cos πt/10) - 3(cos 2πt/15)  

t = 15  

P'(t) = 12(cos 15π/30) - 6 (cos 15π/15) + 4(cos 15π/10) - 3(cos 30π/15)  

P'(t) = 12(cos π/2) - 6 (cos π) + 4(cos 3π/2) - 3(cos 2π)  

P'(t) = 12(0) - 6(-1) + 4(0) - 3(1) = 6 - 3  

P'(t) = $3 per day RATE OF CHANGE  

the closing price on that day

P(t) = 20 + 12 sin πt/30 − 6 sin πt/15 + 4 sin πt/10 − 3 sin 2πt/15  

t = 15  

P(t) = 20 + 12 sin 15π/30 − 6 sin 15π/15 + 4 sin 15π/10 − 3 sin 30πt/15  

P(t) = 20 + 12 sin π/2 − 6 sin π + 4 sin 3π/2 − 3 sin 2π  

P(t) = 20 + 12(1) − 6(0) + 4(-1) − 3(0) = 20 + 12 - 0 - 4 - 0 = 20 + 12 - 4  

P(t) = $28 per share close price



4 0
2 years ago
The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. Th
Annette [7]
Answer: the number of VHS movie rentals in 2011 is expected to be 1.13 million.

The table was not provided, but it is not necessary since the exponential regression equation was provided.

The exponential regression equation is the exponential function that best fits the set of data and it is given in the form:
y = a · bˣ

where:
a = initial value of the model
b = exponential grow or decay
x = time passed from the beginning

In our case,
y = 9.92 · (0.8208)ˣ

where:
a = 9.92
b = 0.8208
Since 0 < b < 1 we have an exponential decay, confirming that the number of VHS is decreasing with time.

We can then use this equation to infer the number of VHS movies in 2011.
As a first thing, calculate how many years from the beginning (2000) would pass:
x = 2011 - 2000 = 11

Now, substitute this value in the equation:
<span>y = 9.92 · (0.8208)</span>¹¹
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In 2011 we can predict there will be only 1.13 million VHS movie rentals.
3 0
2 years ago
Read 2 more answers
An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near
tino4ka555 [31]

Answer:

The height of the triangle is 5.2 inches

Step-by-step explanation:

we know that

An <u>equiangular triangle</u> is a triangle where all three interior angles are equal in measure

Remember that an equilateral triangle has three equal sides and three equal interior angles

so

An equiangular triangle Is the same that an equilateral triangle. The measure of its interior angles is equal to 60 degrees

Let

h ----> the height of triangle

b ---> the length side of the triangle

Applying Pythagoras Theorem

h^2=b^2-(b/2)^2

we have

b=6\ in

substitute

h^2=6^2-(6/2)^2

h^2=36-9

h^2=27

h=\sqrt{27}\ in

h=5.2\ in

see the attached figure to better understand the problem

5 0
2 years ago
determine 4th term in the geometric sequence whose first term is -2 and whose common ratio is -5. does anyone know what this can
9966 [12]
The terms in a geometric sequence are given by: A = ar^(n-1)
where A is the nth term in the sequence.
a = first term in the sequence (-2)
r = common ratio (-5)
n = number of the term (4)

A = (-2)(-5)^(4-1)
A = (-2)(-5)^(3)
A = (-2)(-125)
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4 0
2 years ago
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Tcecarenko [31]

Answer:

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

x+y=96 ----> equation A

4x+9y=644 ---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

4 0
2 years ago
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