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3 years ago

5

If my problem is 9(Xsquared) + 8x -1, How do I simplify this?

1 answer:

Elden [556K]3 years ago

6 0

(X-9)(X-1)
Is simplifyed

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<img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20%2B%20%20%5Cfrac%7B5%7D%7B6%7D%20%20%3D%205x%20-%20%20%5Cfra

jonny [76]

Answer:

nos agoi o se

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Enny White is shopping for CDs. She decides to purchase 3 movie soundtracks. The music store has 7 different movie soundtracks i

zubka84 [21]

Answer:

$35\ ways$

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=7\\r=3$

substitute

$C(7,3)=\frac{7!}{3!(7-3)!}\\\\C(7,3)=\frac{7!}{3!(4)!}$

simplify

$C(7,3)=\frac{(7)(6)(5)4!}{3!(4)!}$

$C(7,3)=\frac{(7)(6)(5)}{3!}$

$C(7,3)=\frac{(7)(6)(5)}{(3)(2)(1)}$

$C(7,3)=35\ ways$

6 0

3 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago

The temperature was -12 degrees in the morning and rose to a high of 27 degrees for the day

leonid [27]

We went from -12 degrees to 27 degrees.

27 - (-12) = 27 + 12 = 39

5 0

3 years ago

Please help with this. Thanks

lisov135 [29]

Answer:

$\sqrt{106}$

Step-by-step explanation:

Given <u>v</u> = < - 5, 9 > then the magnitude is

| <u>v</u> | = $\sqrt{(-5)^2+9^2}$ = $\sqrt{25+81}$ = $\sqrt{106}$

4 0

4 years ago