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3 years ago

12

look for a pattern in the first three diamonds below for the fourth diamond explain how you could find the missing numbers (?) i

f you know the two numbers (#)

1 answer:

mezya [45]3 years ago

6 0

Hmmmm tricky tricky tricky tricky tricky wow wow wow wow still tricky tricky

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If 4f(x)+f(5-x)=x2<br><br> What is f(x)?

aksik [14]

We are given that $4f(x)+f(5-x)=x^2$ .

Substitute x with 5-x, then the above equation becomes:

$4f(5-x)+f(5-(5-x))=(5-x)^2$ , that is

$4f(5-x)+f(x)=(5-x)^2$

So, we have the following system of equations:

i) $4f(x)+f(5-x)=x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) $-16f(x)-4f(5-x)=-4x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

adding the 2 equations side by side we have:

$-15f(x)=-4x^2+(5-x)^2$

expanding the binomial, and collecting same terms we have:

$-15f(x)=-4x^2+(25-10x+x^2)$

$-15f(x)=-3x^2-10x+25$

dividing by -5:

$3f(x)=\frac{3}{5}x^2+2x-5$

dividing by 3:

$\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

Answer: $\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

6 0

3 years ago

What is the slope of the line that passes through the points (2, 3) and (6, 8)?

Nimfa-mama [501]

Answer:

$s = y2 - y1 \div x2 - x1 \\ (8 - 3) \div (6 - 2) \\ 5 \div 4$

5÷4=1.25

7 0

2 years ago

Read 2 more answers

Before a sale, an item’s price was $18.00, but this was discounted during the sale to a new price of $14.40. What was the percen

Alexandra [31]

20% Because $18.00 - $14.40 = $3.60
3.6/18 = 0.2 ---> 20%

7 0

3 years ago

Read 2 more answers

Find the value of x that will make A||B 4x 3x+10 x=

Ede4ka [16]

Answer:

4x 3x+10 x= 10

Step-by-step explanation:

3 0

2 years ago

A credit card company decides to study the frequency with which its cardholders charge for items from a certain change of retail

gregori [183]

Answer:

15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 25 charged purchases and a standard distribution of 2

This means that $\mu = 25, \sigma = 2$

Proportion above 27

1 subtracted by the pvalue of Z when X = 27. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{27 - 25}{2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

1 - 0.8413 = 0.1587

Out of the total number of cardholders about how many would you expect are charging 27 or more in the study?

0.1587*100% = 15.87%

15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.

6 0

2 years ago