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Bess [88]
3 years ago
6

Look at the hexagonal numbers. Use finite differences

Mathematics
1 answer:
pshichka [43]3 years ago
8 0

Answer:

f(x) = 2x2 – x

Step-by-step explanation:

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Is (x-1) a factor of 2x3 - 15x2 + 22x + 15
Advocard [28]

Answer:

Step-by-step explanation:

If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?

f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15

f(1) = 2 - 15 + 22 + 15

f(1)= 24.

No the result is not zero. So x - 1 is not a factor.

However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.

The numbers that do make this zero are -0.5, 3, 5

Which mean that the factors are (2x+1)(x-3)(x - 5)

6 0
3 years ago
2. A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its rec
GaryK [48]

Answer:

Ther has been an increase in the selling time.

Step-by-step explanation:

Step 1. Specify the null hypotesis

In this case, we have to demonstrate that the selling time is now different than before the drought.

H_{0}: \mu=90\\H_{1}: \mu\neq 90

Step 2. Choose a significance level

In this problem, is 0.10

Step 3. Compute the mean

In this case, the mean of the sample is 94.

Step 4. Compute the probability value (p) of obtaining a difference between the mean of the sample and the hypothesided value of μ.

t=\frac{M-\mu}{s/\sqrt{N}} =\frac{94-90}{22/\sqrt{100} }=\frac{4}{2.2} = 1.818

The degrees of freedom are calculated as (N-1) = (100-1) = 99. Then we can look up in the t-table (http://davidmlane.com/hyperstat/t-table.html) to calculate the probability value of a t of 1.818 with 99 degrees of freedom. The value of this probability is 0.05.

Step 5. Compare the P-value (0.05) with the significance level (0.10). Since the P-value is less than the significance level, the effect is significant.

Since the effect is significant, the null hypotesis is rejected.

It is concluded that the mean of the selling time has changed (increase) from its previous value.

7 0
3 years ago
Question 6<br> Express this decimal as a fraction.<br> ?<br> 1.21 =<br> ^ it has a line over the 21
Anettt [7]

Answer:

120/99 is the answer.

Step-by-step explanation:

It has a line over it means that after the point there are infinite numbers of 21.

•Multiply 1.212121... with 100

we get 121.212121...

•Subtract it with the original one

121.212121.. - 1.212121... = 120.000.. = 120

Write it as an equation :-

Let the fraction be x.

(100×x) - x = 120

100x-x = 120

or, 99x = 120

so, x = 120/99

3 0
3 years ago
Ethan's club spent $81 for 9 caps for its members. Each cap cost the same amount. How much did each cap cost?
Ksivusya [100]
81 divided by 9 = 9 

9 is your answer
6 0
3 years ago
Read 2 more answers
Given this figure on a coordinate plane, determine which of the following statements
hammer [34]
Answer is D. Show that AC and BC bisect each other and meet at the same point
5 0
3 years ago
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