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sergeinik [125]
3 years ago
6

ALGEBRA 1 PLEASE HELP

Mathematics
1 answer:
solong [7]3 years ago
8 0
Subtract the equations straight down. So we'll subtract the x terms together
5x - 5x = 0x = 0 
meaning the x terms effectively go away after subtraction

Then we do the y terms together in the same exact order
y-3y = -2y

Then finally the right hand side values
6 - (-5) = 6+5 = 11

All of that work done indicates we have 0x-2y = 11 which is the same as -2y = 11. Divide both sides by -2 and we end up with y = -11/2

This answer isn't listed so I'm thinking there's a typo your teacher made somewhere.
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The vertex of this parabola is at (-5, -2). When the x-value is -4, the y-value is 2. What is the coefficient of the squared exp
Montano1993 [528]

Answer:

The coefficient of the squared expression in the parabola equation is a=4

Step-by-step explanation:

The equation of a parabola in its vertex form is:

y = a(x-h) ^ 2 + k

Where the vertex of the parabola is the point (h, k)

a is the ceoficiente of the term to the square.

We need to find the equation of a parabola that has its vertex in the point:

(-5, -2)

So:

h = -5\\\\k = -2

Therefore the equation is:

y = a(x - (-5)) ^ 2 -2\\\\y = a(x + 5) ^ 2 -2

We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola

(2) = a((-4) + 5) ^ 2 -2\\\\2 = a(1) ^ 2 -2\\\\2 = a -2\\\\a = 4

Finally the coefficient is a = 4

7 0
3 years ago
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The ma
Lana71 [14]

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that m = 3.5, \mu = \frac{1}{3.5} = 0.2857

What number of minutes should the advertisement use?

The values of x for which:

P(X > x) = 0.01

So

e^{-\mu x} = 0.01

e^{-0.2857x} = 0.01

\ln{e^{-0.2857x}} = \ln{0.01}

-0.2857x = \ln{0.01}

x = -\frac{\ln{0.01}}{0.2857}

x = 16.12

Rounding to the nearest number, the advertisement should use 16 minutes.

5 0
3 years ago
Write an equation in point-slope form for each line (If possible please show work)
Archy [21]

Answer: y-2=1/4(x-1)

Step-by-step explanation:

The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.

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

8 0
3 years ago
Help me please<br> thx so much<br> have a good one
Crazy boy [7]
Associative property of multiplication
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3 years ago
If the sum of six consecutive even integers is 306, what is the smallest of the six integers
Neko [114]

306/6 is 51 is you add one to one side and take away the other the six numbers become: 46, 48, 50, 52, 54, 56 as you added one to one side substituting the other you took away from, therefore the smallest would be 46.

4 0
3 years ago
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