Sale! 25% OFF of the original price! Laura wants to buy a sleeping bag. The original price is $56. How much will Laura pay if she buys it during the sale.

Answer:

[tex] - \frac{x + 2a}{3a + x} [/tex]

Step-by-step explanation:

[tex] \frac{ {x + ax - 2 {a}}^{2} }{3a {}^{2} - 2ax - {x}^{2} } [/tex]

i) write ax as a difference

[tex] \frac{ {x}^{2} + 2ax - ax - 2 {a}^{2} }{3 {a}^{2} - 2ax - x {}^{2} } [/tex]

ii) write -2ax as a difference

[tex] \frac{ {x}^{2} + 2ax - ax - 2a {}^{2} }{3a {}^{2} + ax - 3ax - x {}^{2} } [/tex]

iii) factor out x from the expression

[tex] \frac{x(x + 2a) - ax - 2 {a}^{2} }{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]

iv) factor out -a from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]

v) factor out a from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - 3ax - {x}^{2} } [/tex]

vi) factor out -x from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - x(3a + x)} [/tex]

vii) factor out x+2a from the expression

[tex] \frac{(x + 2a)(x - a)}{a(3a + x) - x(3a + x)} [/tex]

viii) factor out 3a+x from the expression

[tex] \frac{(x + 2a)(x - a)}{(3a + x)(a - x)} [/tex]

ix) factor out the negative sign from the expression and rearrange the term

[tex] \frac{(x + 2a)( - ( - a - x))}{(3a + x)(a - x)} [/tex]

x) reduce the fraction a-x

[tex] \frac{(x + 2a)( - 1)}{(3a + x)} [/tex]

[tex] - \frac{x + 2a}{3a + x} [/tex]

Answer:

i dont onderstand Thais

Answer:

If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!

Step-by-step explanation:

4x+5 = 2x+19

2x=14

x=7

4(7)+5+2(7)+19 = 42+24 = 66

Answer:

Hope this may helps you

Step-by-step explanation:

6×3(11)

6×33

198

Answer:

198

Step-by-step explanation:

6 ×3(2+9)

= 6×3×11

= 6×33

= 198

x=66

Step-by-step explanation:

4x = 200 + 64 > 4x = 264 > x= 66

Answer:

x=66

Step-by-step explanation:

Steps

4x=64+200

4x=264

x=66

Standard form:

x - y = 7

Factored form:

y = x - 7

Answer:

y = x - 3 - 4

y = x - 7

(x - 7 = y)

(x = y + 7)

Step-by-step explanation:

Hope you got it.

Answer:

g

Step-by-step explanation:

x goes to f m to 5 :-)

Answer:

Explicación más abajo

Step-by-step explanation:

Integración Indefinida

La integral

[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]

Se resuelve con el cambio de variables:

t=arcsen(x)

Una vez hechos los cambios, la integral se resuelve en función de t:

[tex]I=sen(t)-t.cos(t)+C[/tex]

Hay que devolver los cambios para mostrarla en función de x.

El cambio de variables también se puede escribir:

x=sen(t)

Recordando que

[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]

Entonces:

[tex]cos(t)=\sqrt{1-x^2}[/tex]

Devolviendo los cambios:

[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]

Es la respuesta correcta

Caroline is correct because the equation y = (x-1)(x-5) is in factored form. If you solve the terms (x-1) and (x-5), you get the zeros (aka x-intercepts) of the graph.

Solve (set the terms equal to 0):

x-1 = 0     x = 1

x-5 = 0     x = 5

∴ the x-intercepts are (1,0) and (5,0).

The purple graph corresponds to the zeros in the equation, not the green graph. The green graph has negative x-intercepts, whereas the purple graph has positive x-intercepts like in the equation.

Answer:

A. 16/20

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ

Opposite Leg = 16

Hypotenuse = 20

Step 2: Find Ratio

Answer:

A. 16/20

Step-by-step explanation:

The sine ratio is the opposite leg over the hypotenuse, opp/hyp.

For angle theta, the opposite leg is 16. The hypotenuse is 20.

sin (theta) = 16/20

Answer: A. 16/20

Answer:

[tex]-6048[/tex]

Step-by-step explanation:

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]

[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]

[tex]56\left(-108\right)[/tex] = [tex]?[/tex]

[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]

[tex]---------------------------------[/tex]

Hope this helps! <3

[tex]---------------------------------[/tex]

Answer:

I just saw a girl post the nastiest nu!des EVER

Answer:

x=21

Step-by-step explanation:

45+x+the last angle=180

x+159=180

180-159=21

21+45= 66

180-66=114

so i think x would be 21 degrees but im not entirely sure do not quote me on this sorry

Answer:

So if you take the 12 and add it to the 7 you get 19 then do 19 mines 7 and you get 12 so always add the sum to the number given to get the missing number

Step-by-step explanation:

Have a great day

Answer:

-350

Step-by-step explanation:

5×2-3×-10/2×-10

=10-3×-50

=7×-50

=-350

Answer:

-7d-14

Step-by-step explanation:

First, let's distribute -7 to (d+2)

-7xd

-7x2

We will get -7d-14

Answer:

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Step-by-step explanation:

Given that:

A country population at any given time (t) is:

[tex]\dfrac{dP}{dt}= kP+I[/tex]

where;

P = population at any time t

k = positive constant

I = constant rate of immigration into the country.

Using the method of separation of the variable;

[tex]\dfrac{dP}{kP+1}= dt[/tex]

Taking integration on both sides:

[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]

[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]

[tex]log (kP + I) =k t+kc_1[/tex]

By applying the exponential on both sides;

[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]

[tex]KP+I = e^{kt} *e^{kc_1}[/tex]

Assume [tex]e^{kc_1 }= C[/tex]

Then:

[tex]kP + I = Ce^{kt}[/tex]

[tex]kP = Ce^{kt}-I[/tex]

[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]

When time t = 0, The Total population of the country is also [tex]P_o[/tex]

[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]

[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]

[tex]P_o = \dfrac{C-I}{k}[/tex]

C - I = kP₀

C =  kP₀ + I

Substituting the value of C back into equation(1), we have:

[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]

[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Step-by-step explanation:

4 different vehicles,

2 different paints,

2 different seats.

Total number of combinations = 4 * 2 * 2 = 16.

the answer will be 2.5 hope that helps you

Answer:

2.5 or in other terms 2 1/2

Step-by-step explanation:

Answer:talk some English dude

Step-by-step explanation:

Answer:

28 i assume.

Answer:

The answer is 28% :))

Answer:you are corect its negetive

Step-by-step explanation:

im guessing 800 50X4 = 200 and 200X4 = 800

i never learned this but i hope its correct.

Answer:

If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.

Answer:

Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.

Step-by-step explanation:

Hope this helps!!!

Answer:

For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.

For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).

Step-by-step explanation: