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victus00 [196]
3 years ago
9

Solve the system of equations 3x+2y=14 2x-4y=4

Mathematics
1 answer:
Elenna [48]3 years ago
8 0
3x + 2y = 14....multiply by 2
2x - 4y = 4
----------------
6x + 4y = 28 (result of multiplying by 2)
2x - 4y = 4
----------------add
8x = 32
x = 32/8
x = 4

2x - 4y = 4
2(4) - 4y = 4
8 - 4y = 4
-4y = 4 - 8
-4y = -4
y = -4/-4
y = 1

solution is (4,1)
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(b) Find the odds in favor of Lena winning a headset ​

Step-by-step explanation:

4 0
3 years ago
Use calculus to find the area a of the triangle with the given vertices. (0, 0), (6, 2), (4, 8)
Vilka [71]

The area of the triangle with vertices  (x_1,y_1),(x_2,y_2),(x_3,y_3) is

\frac{1}{2}\left|\begin{array}{ccc}1&x_1&y_1\\1&x_2&y_2\\1&x_3&y_3\end{array}\right|.

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7 0
3 years ago
If, for each mouse, the probability of turning left is 0.5 and the probability of turning right is 0.5, what is the probability
Phoenix [80]

Answer:

.125

Step-by-step explanation:

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3 0
3 years ago
A large company put out an advertisement in a magazine for a job
vova2212 [387]

Answer:

<em>C(19)=12 responses</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function can be expressed as follows:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.

This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.

The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

C(t)=90\cdot(1-0.1)^t

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C(t)=90\cdot(0.9)^t

We are required to calculate the number of responses at day t=19, thus:

C(19)=90\cdot(0.9)^{19}

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8 0
2 years ago
2m+5=5(m-7)-3m equals??
Svetradugi [14.3K]
2m+5=5(m-7)-3m
first, use distributive property...
2m+5=5m-35-3m
next, combine like terms on the right side...
2m+5=2m-35
next, subtract 2m from both sides.
2m+5=2m-35
-2m   -2m
you will get....
5=-35 in which is not true. This means the equation has no solution.
6 0
3 years ago
Read 2 more answers
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