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3 years ago

What is the explicit formula for this sequence? -9, -3, 3, 9, 15, ...

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

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Answer:

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If 3(r+300)=6 then find the value of r+300-2

faltersainse [42]

Answer:

Step-by-step explanation:

3(r+300)=6

Divide each side by 3

3/3(r+300)=6/3

(r+300)=2

Now we want to find

r+300-2

2 -2

8 0

3 years ago

Read 2 more answers

Solve (x + 1)2 – 4(x + 1) + 2 = 0 using substitution.

solniwko [45]

For this case we have to:

Let $u = x + 1$

So:

$u ^ 2-4u + 2 = 0$

We have the solution will be given by:

$u = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

Where:

$a = 1\\b = -4\\c = 2$

Substituting:

$u = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (2)}} {2 (1)}\\u = \frac {4 \pm \sqrt {16-8}} {2}\\u = \frac {4 \pm \sqrt {8}} {2}\\u = \frac {4 \pm \sqrt {2 ^ 2 * 2}} {2}\\u = \frac {4 \pm2 \sqrt {2}} {2}$

The solutions are:

$u_ {1} = \frac {4 + 2 \sqrt {2}} {2} = 2 + \sqrt {2}\\u_ {2} = \frac {4-2 \sqrt {2}} {2} = 2- \sqrt {2}$

Returning the change:

$2+ \sqrt {2} = x_ {1} +1\\x_ {1} = 1 + \sqrt {2}\\2- \sqrt {2} = x_ {2} +1\\x_ {2} = 1- \sqrt {2}$

Answer:

$x_ {1} = 1 + \sqrt {2}\\x_ {2} = 1- \sqrt {2}$

3 0

3 years ago

Read 2 more answers

Here 2.4,1.6, 3.2,0.3, 1.5 . a)Calculate the means . b)Each piece of data is increased by 10. Calculate the new mean. c) Each ne

vagabundo [1.1K]

Answer:

1.8 ; 11.8 ; 4.18

Step-by-step explanation:

Given the data:

X : 2.4,1.6, 3.2,0.3, 1.5

Mean, m = Σx / n

Σx = 9 ; n = 5

m = 9 /5

m = 1.8

If data is increased by 10:

X : 12.4, 11.6, 13.2, 10.3, 11.5

Σx = 59 ; n = 5

m = 59 /5

m = 11.8

If data values is doubled :

X : 5.76, 2.56, 10.24, 0.09, 2.25

Σx = 20.9 ; n = 5

m = 20.9 /5

m = 4.18

7 0

3 years ago

What is 1.4% of b? What is 8% of x?

Nikolay [14]

Answer:

Step-by-step explanation:

1.4% of b = $\frac{1.4}{100}*b = 0.014b$

8% of x = $\frac{8}{100}*x = 0.08x$

4 0

3 years ago

Plz help

frozen [14]

Answer:

a. Required system of equations is:

c+p = 10

5c+4p = 46

b. 6 cakes were sold

Step-by-step explanation:

Let p be the number of pies and c be the number of cakes.

Then according to given statement " the store sold 10 baked goods"

$c+p = 10\ \ \ Eqn\ 1$

And

"A cake costs $5 and a pie costs $4"

$5c+4p = 46\ \ \ \ Eqn\ 2$

Using equation 1,

$c=10-p$

Putting this value of c in equation 2:

$5(10-p)+4p = 46\\50-5p+4p = 46\\-p = 46-50\\-p = -4\\p = 4$

Putting p = 4 in equation 1

$c+4 = 10\\c = 10-4\\c =6$

Hence,

a. Required system of equations is:

c+p = 10

5c+4p = 46

b. 6 cakes were sold

7 0

3 years ago