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Vlad1618 [11]
3 years ago
6

Which is the value of this expression when p = - 2 and q = -1?

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer: -4 is the answer

Step-by-step explanation:

You might be interested in
According to the rational root theorem, what are all the potential rational roots of f(x)= 5x^3-7x+11
Tems11 [23]

The rational root theorem states that the rational roots of a polynomial can only be in the form p/q, where p divides the constant term, and q divides the leading term.

In your case, both the leading term 5 and the constant term 11 are primes, so their only divisors are 1 and themselves.

So, the only feasible solutions are

\pm\dfrac{11}{5},\quad\pm 11,\quad \pm\dfrac{1}{5}, \pm 1

For the record, in this case, none of the feasible solutions are actually a root of the polynomial.

8 0
3 years ago
The house numbers on the North side of Flynn Street are even. In one block, the house numbers begin 1022, 1032, 1042, 1052. What
Gnom [1K]
The series 1022,1032,1042,1052....

a1=a=1022
d=a2-a1=1032-1022=10
n=5 as 5th term

Sn= a+(n-1)d
= 1022+(5-1)10
= 1022+40
= 1062
Next house will have 1062 as number.
3 0
3 years ago
PLS ANSWER ASAPThe function f(x) = 4x + 10 models the amount of money Francis makes
Andrei [34K]

Answer:

A 18

Step-by-step explanation:

f(x) = 4x + 10

f(2) = 4(2) + 10

f(2) = 8 + 10

f(2) = 18

6 0
3 years ago
How do we calculate the vertex of a quadratic in standard form?
kvasek [131]

Answer:

y = a x^{2} + b x + c .

Step-by-step explanation:

Also (How to do it!):

We can find the vertex of a quadratic equation with these steps:

Get the equation in the form y = ax2 + bx + c.

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.

6 0
3 years ago
The caller times at a customer service center has an exponential distribution with an average of 10 seconds. Find the probabilit
ololo11 [35]

Answer:

0.9179 = 91.79% probability that a randomly selected call time will be less than 25 seconds

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}

In this question:

m = 10, \mu = \frac{1}{10} = 0.1

Find the probability that a randomly selected call time will be less than 25 seconds?

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

P(X \leq 25) = 1 - e^{-0.1*25} = 0.9179

0.9179 = 91.79% probability that a randomly selected call time will be less than 25 seconds

4 0
3 years ago
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