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2 years ago

Look at the pattern below.

Mathematics

1 answer:

valentinak56 [21]2 years ago

5 0

You could do 33, 36, 39, 42

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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

2 years ago

Read 2 more answers

Help me out plesseee!!

nasty-shy [4]

Step-by-step explanation:

the rate of change is officially

(f(x2) - f(x1)) / (x2 - x1)

but for a line function (as we have here) this is totally easy : it is the slope of the line.

and that means it is the factor of x.

in our case this is -3/2.

because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.

3 0

2 years ago

A pizza parlor sold 38 1/8 pizzas during a dinner hour. If each pizza contained 8 slices, how many slices of pizza were sold?

____ [38]

There were 312 slices of pizza sold

3 0

3 years ago

Read 2 more answers

(3x/5-7)+7 is equal to what

Elena L [17]

(3x/5-7)+7

= (3x/-2) + 7

= -3x/2 + 7

5 0

3 years ago

Solve for e. (-7) = e/3 + 14

raketka [301]

<span>(-7) = e/3 + 14

Subtract 14 on both sides

-7 - 14 = e/3 + 14 - 14

-21 = e/3

Multiply by 3 on both sides

-21 * 3 = e/3 * 3

-63 = e</span>

5 0

2 years ago