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3 years ago

Graph the equation 4x−4y=12 using the intercepts.

Mathematics

1 answer:

Verdich [7]3 years ago

3 0

X-intercept: (3,0)
Y-intercept: (0,-3)

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josh flips a colored chip that is red on one side and black on the other a total of 20 times. what is the probability of the 21t

kiruha [24]

As long as the mass of the chip is evenly distributed on each side, whatever times you flip the chip,

The probability will always be 50%

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3 years ago

What must be subtracted from 4x4 - 2x3 -6x2 + x - 5 so that the result is exactly divisible by 2x2 + 3x - 2? PLS ANSWER. I WILL

aalyn [17]

Answer:

Step-by-step explanation:

To solve this we should use the Euclidean division :

Our polynomial function is 16-2x³-6x²+x+9=-2x³-6x²+x+9
we should divided by : 4+3x-2=3x+2 and see the rest

Here is a picture with the operation

the rest is 47/9 so the number I SHOULD SUBSTACT IS 47/9

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3 years ago

Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

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2 years ago

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