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Bezzdna [24]
3 years ago
11

2. How many solutions does the below system of equations have?

Mathematics
2 answers:
bearhunter [10]3 years ago
8 0
Y=5x-4

3y=15x-8
3(5x-4)=15x-8
15x-12=15x-8
??

Therefore, there is no solution.
S_A_V [24]3 years ago
4 0
No solution because the slopes end up being equal and they become parallel and then they won’t intersect
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Simplify the following expression.
Nitella [24]

Answer:

B.

Step-by-step explanation:

So to make it look simpler, rewrite it as this:

\frac{4^{5} 7^{3} }{4^27^4}

Now, you can cross out the 4^2 and 7^3

You're left with:

\frac{4^3}{7}

7 0
3 years ago
Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.
Virty [35]

Answer:

x=\frac{6e^3}{e^3-1}

Step-by-step explanation:

ln x - ln(x - 6) = 3

Apply natural log property

ln mn=ln m + ln(n), ln(m/n)=ln(m)-ln(n)

ln x - ln(x - 6) = 3

ln(\frac{x}{x-6} )=3

All natural log has base 'e'

\frac{x}{x-6} =e^3

cross multiply

x=e^3(x-6)

x=e^3x-6e^3

add 6e^3 on both sides and -x on both sides

6e^3=e^3x-x

6e^3=x(e^3-1)

Divide e^3-1 on both sides

x=\frac{6e^3}{e^3-1}

5 0
3 years ago
Encontrar la Esperanza Matemática y Desviación Estándar del número de imperfecciones (y) en pizarra acrílica. (2 puntos) y 0 1 2
fredd [130]

Responder:

1,625; 0.8569

Explicación paso a paso:

y ___0 ____ 1 ____ 2 ____3

P (y) _1 / 8 ___ ¼ ___ ½ ____ 1/8

Valor esperado (E (x)): Σx * p (x)

= (0 * (1/8)) + (1 * (1/4)) + (2 * (1/2)) + (3 * (1/8)) = 1,625

La desviación estándar = sqrt (Var (x))

Var (X) = Σx²p (x) * E (x) ²

Var (X) = [(0 ^ 2 * (1/8)) + (1 ^ 2 * (1/4)) + (2 ^ 2 * (1/2)) + (3 ^ 2 * (1 / 8))] - 1.625²

Var (X) = (0 * (1/8)) + (1 * (1/4)) + (4 * (1/2)) + (9 * (1/8)) - 1.625 ^ 2

= 3.375 - 2.640625

= 0,734375

Desviación estándar = Sqrt (0,734375) = 0,8569

7 0
3 years ago
a leaky faucet is losing water and it is filling a 5 gallon bucket every 12 hours. At the rate, how many gallons of water will t
Alina [70]

Answer:

20 gallons

Step-by-step explanation:

First start off by dividing 48 by 12 to see how many times 12 goes into 48.

48 / 12 = 4

now that you know that 12 goes into 48 4 times, multiply 4 by 5 to see how many gallons the leaky faucet will fill in 48 hours.

4 x 5 = 20

therefore the answer is 20 gallons

I hope this helps ^^

3 0
3 years ago
Help me with this please
m_a_m_a [10]
36 is the value
answer
4 0
3 years ago
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