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qaws [65]
2 years ago
12

Twice Jaden's age is equal to 3 times his age minus ten. How old is Jaden? Write only his age.

Mathematics
1 answer:
rosijanka [135]2 years ago
4 0
2J=3J-10
-3J  -3J
-J=-10
/-1   /-1
J=10 years old
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A soma de três númerosemanas é 8470. O primeiro é 4319 e o segundo é 1843. Determine o terceiro número
Mice21 [21]

A soma de 3 numeros igual a 8470 seria:

X + Y + Z = 8470

Como é dito que o 1º é 4319 e o 2º 1843, entao

X + Y + Z = 8470

4319 + 1843 + Z = 8470

Z = 8470 - 4319 - 1843

<h3>Z = 2308</h3>
7 0
3 years ago
Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9
NeTakaya
<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}

Now you can rewrite it as:

(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}

Next, multiply:

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

Next, divide:

(\frac{f}{g})(x)=(x+2)^2

And lastly, simplify:

  • A good tip: (x+y)^2=x^2+2xy+y^2

(\frac{f}{g})(x)=x^2+4x+4

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

7 0
3 years ago
Find the mean. Round to the nearest tenth if necessary.
kondor19780726 [428]

Answer:

27

Step-by-step explanation:

The actual mean is 27.008333333333, round that as you will.

5 0
2 years ago
Read 2 more answers
Bailey bought a lawnmower for $600. The value of the lawnmower depreciates 2% every year. What is the value of the lawnmower aft
givi [52]

Answer:

$542

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

y=a(1-r)^x

where

y is the value of the lawnmower

x is the time in years

a is the initial value

r is the rate of change

we have

a=\$600\\r=2\%=2/100=0.02

substitute

y=600(1-0.02)^x

y=600(0.98)^x

For x=5 years

y=600(0.98)^5=\$542

8 0
2 years ago
El garage "Bolivar" tiene3 pisos. En el primero hay 5 filas con 20 lugares en cada una. En el segundo y en el tercero, 4 filas c
Iteru [2.4K]

Answer:

220 automóviles

Step-by-step explanation:

Aquí, queremos saber la cantidad de autos que ingresarán al garaje cuando esté completamente ocupado.

De la pregunta, nos dicen que hay 3 pisos. Para el 1er piso, hay 5 filas de 20 lugares.

El número total de autos que pueden estar en esto será 5 * 20 = 100 autos.

Para el segundo y tercer piso, tenemos 4 filas de 15 cada una.

El número total de autos aquí será 2 (15 * 4) = 2 * 60 = 120 autos

El número total de automóviles cuando está completamente ocupado es, por tanto, = 100 + 120 = 220 automóviles

8 0
3 years ago
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