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vlabodo [156]
1 year ago
9

Graph each line using intercepts 1/4 x + 2y =2

Mathematics
1 answer:
Leno4ka [110]1 year ago
5 0

The given equation is,

\frac{1}{4}x+2y=2

It can be rewritten in the form of y=mx+c, where c is the y intercept.

Hence,

\begin{gathered} 2y=-\frac{1}{4}x+2 \\ y=\frac{-1}{4\times2}x+\frac{2}{2} \\ y=\frac{-1}{8}x+1 \end{gathered}

Put different values for x and find value of y.

When x=0, y=1.

When x=1,

y=\frac{-1}{8}+1=\frac{7}{8}

The graph is,

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3 years ago
Solve for w. 5w + 9z = 2z + 3w
Margaret [11]

Answer:

w = -7z/2

Step-by-step explanation:

Our goal is to isolate w

1. subtract 3w from both sides to get 2w+9z = 2z

2. Subtract 9z from both sides to get 2w = -7z

3. Divide both sides by 2 to get w = -7z/2

We cannot simplify further, so this is our answer.

4 0
3 years ago
¿En cuánto se convierte un capital de C=$8,000 después de n=5 años a una tasa de interés compuesto del i=10% anual?
slava [35]

Evaluando una ecuación exponencial, veremos que luego de 5 años el capital se convierte en $12,884.08

<h3>¿En cuánto se convierte el capital?</h3>

Esta situación se podra modelar con la ecuación exponencial:

f(n) = $8,000*(1 + 10%/100%)ⁿ

Donde n es el número de años.

Podemos simplificar la ecuación para obtener:

f(n) = $8,000*(1.1)ⁿ

Ahora queremos ver el valor que toma esto cuando n = 5, asi obtenemos:

f(n) = $8,000*(1.1)⁵ = $12,884.08

Así que luego de 5 años, el capital se convierte en $12,884.08.

Sí quieres aprender más sobre ecuaciones exponenciales:

brainly.com/question/11832081

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2 years ago
What is the range of the data? 53, 47, 60, 45, 62, 59, 65, 50, 56, 48
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12 hope it helps

Step-by-step explanation:

8 0
3 years ago
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Which of the following is an example of the additive identity?
bulgar [2K]

Answer:

Option C is correct

a + 0 = a

Step-by-step explanation:

Additive identity:

For any real number x,

x+0 = 0+x = x

We have to find an example of the additive identity from the given options.

Option A.

a+(-a) = 0

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Option B.

a+0 = 0

which does not follow the additive identity.

Option C.

a+0 = a

this equation follows the additive identity.

Therefore,an example of the additive identity is, a + 0 = a

7 0
3 years ago
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