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4 years ago

How many solutions can be found for the equation 3y + 5 − 2y = 11?

1 answer:

7 0

We can solve the equation to find it's number of solutions, but we already know it only has 1 solution because it is a linear equation (y is raised to the first power).

3y + 5 − 2y = 11
y + 5 = 11
y = 6

This confirms that there is only 1 solution.

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Is it possible for the function f(x) - 5 x 2^x to have an output of 200?

Advocard [28]

Answer:

The solution is possible

Step-by-step explanation:

Given

$f(x) = 5 * 2^x$

Required

Is an output of 200, possible?

To know if it is possible or not, we start by substituting 200 for f(x)

$200 = 5 * 2^x$

Divide both sides by 5

$\frac{200}{5} = \frac{5}{5} * 2^x$

$\frac{200}{5} = 2^x$

$40 = 2^x$

$2^x =40$

Take logarithm of both sides

$log2^x =log40$

Apply law of logarithm

$xlog2 =log40$

Divide both sides by log2

$x = \frac{log40}{log2}$

$x = \frac{1.6021}{0.3010}$

$x = 5.32$

for f(x) = 200, x is approximately 5.32

Hence, the solution is possible

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3 years ago

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Step-by-step explanation:

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3 years ago

Credit may be extended on a credit card up to the individual’s what?

Evgesh-ka [11]

Credit score and if they pay on time

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3 years ago

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alina1380 [7]

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Step-by-step explanation:

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3 years ago

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What is (f • g)(x) f(x) = x^4 — 9 g(x) = x^3 + 9

nata0808 [166]

Answer:

x^12 + 9x^4 - 9x^3 - 18

Step-by-step explanation:

When there is a circled in black dot in the middle of f and g, then it means to multiply. Using the distributive property and the FOIL method, the answer should be x^12 + 9x^4 - 9x^3 - 18.

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3 years ago