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Yakvenalex [24]
3 years ago
7

What ordered pair would be located 5 units to the right on the x-axis?

Mathematics
1 answer:
Akimi4 [234]3 years ago
8 0

Answer:

(5, 0)

Step-by-step explanation:

The ordered pair located 5 units to the right on the x axis is (5, 0) which indicates the x-location first (x = 5) and the y-location in the second coordinate (y = 0)

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Solve the inequality.
Lady bird [3.3K]

Answer:

x \leq -3

Step-by-step explanation:

Make common denominators

\frac{2x}{6} - \frac{3x-3}{6}\geq\frac{6}{6}

Use the numerators only

2x - (3x - 3) \geq 6

Distribute

2x - 3x + 3 \geq 6

-x + 3 \geq 6

Subtract 3 from both sides

-x \geq 3

x \leq -3

4 0
2 years ago
The sutton police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. suppose the
lakkis [162]
The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
P(k \, events) = e^{-\lambda } ( \frac{\lambda ^{k}}{k!} )

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
P(k \, tickets/day)=e^{-6.5} ( \frac{6.5 ^{k}}{k!} )
The distribution is graphed as shown below.

Answer: 
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.

8 0
3 years ago
Find the first, fourth, and eighth terms of the sequence. a(n)=-2 x 2^n-1
leonid [27]

Answer:

2, 16 and 256.

Step-by-step explanation:

Just substitute  for n:-

first term ( when n = 1) =  2 * 2^(1-1)

= 2 * 1 =  2

4th term =  2 * 2^(4-1) =  16

8th term = 2* 2^(8-1) = 256

8 0
3 years ago
What is 7 divided by 630
Mashcka [7]

Answer:

90

Step-by-step explanation:

Its 630/7

8 0
3 years ago
Read 2 more answers
Which polynomial can be simplified to a difference of squares
Mrrafil [7]
<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}=(4-1)(4+1)

<h2>Why?</h2>

To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

So,

Discarding, we have:

The quadratic terms of the given polynomials are:

First=10a^{2}

Second=16a^{2}

Third=25a^{2}

Fourth=24a^{2}

We have that the coefficients of the quadratic terms that can be obtained by squaring are:

16a^{2} =(4a)^{2} \\\\25a^{2} =(5a)^{2}

The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.

So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

16a^{2} -4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2} =(4-1)(4+1)

So, the second polynomial can be simplified to a difference of squares.

For the third polynomial, we have:

25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}

7 0
3 years ago
Read 2 more answers
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