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3 years ago

Starting with x=4.62 repeating express x as a fraction in simplest form

1 answer:

5 0

$x=4.62=4+0.62=4+\dfrac{62}{100}=4+\dfrac{62:2}{100:2}=4+\dfrac{31}{50}\\\\\text{as a mixed number}\ 4\dfrac{31}{50}\\\\\text{as an improper fraction}\ \dfrac{4\cdot50+31}{50}=\dfrac{231}{50}$

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When using substitution to solve this system of equations, what is the result of the first step?

Allushta [10]

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

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2 years ago

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The value of the 4 in 429?

iragen [17]

Answer: It is in the Hundreds place

Step-by-step explanation:

429 four is in the hundreds place,2 is in the tens place, and 9 is in the one place.

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3 years ago

2x-1, x < 2 12. Show that f(x) = { 3x 2 x ≥ 2 is continuous.

choli [55]

Using the continuity concept, since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.

<h3>What is the continuity concept?</h3>

A function f(x) is continuous at x = a if it is defined at x = a, and:

$\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)$

The definition of the piecewise function is given by:

f(x) = 2x - 1, x < 2.

f(x) = 3x/2, x >= 2.

Since the definition of the function changes at x = 2, and the domain of the function has no restrictions, this is the only point in which there may be a discontinuity.

The lateral limits are:

$\lim_{x \rightarrow 2^-} f(x) = \lim_{x \rightarrow 2} 2x - 1 = 2(2) - 1 = 3$ .

$\lim_{x \rightarrow 2^+} f(x) = \lim_{x \rightarrow 2} 1.5x = 1.5(2) = 3$ .

The numeric value is:

f(2) = 1.5 x 2 = 3.

Since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.

More can be learned about the continuity concept at brainly.com/question/24637240

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2 years ago

A man sells a type of nut for $7 per pound and a different one for $4.20 per pound, how much of each type should be used to make

qwelly [4]

Answer:

a type nut is 10 pounds

a different one is 14 pounds

Step-by-step explanation:

let a type of the nut be represented by t

Let a different one be represented by d

a type of nut cost $7 per pound

a different one cost $4.20 per pound

The cost of the mixture for 24 pounds = 5.37 * 24

= $128.88

t + d = 24 ........(1)

7t + 4.2d = 128.88 ..........(2)

From equation (1), t = 24 - d

Put t = 24 - d in equation 2

7(24 - d) + 4.2d = 128.88

168 - 7d + 4.2d = 128.88

168 - 2.8d = 128.88

-2.8d = 128.88 - 168

-2.8d = -39.12

d = -39.12 / -2.8

d= 13.97

d = 14 pounds

t = 24 - d

t = 24 - 14

t = 10 pounds

A type nut is 10 pounds. A different one is 14 pounds

5 0

3 years ago

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Which of the following is a valld conclusion for the quadratic equation?

HACTEHA [7]

Answer:

x - 4 = 0 and x - 2 = 0

Step-by-step explanation:

$x^2-6x+8=0\\(x-4)(x-2)=0$

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3 years ago

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