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3 years ago

Identify the equation in slope-intercept form for the line with the given slope that contains the given point. Slope =2; (1,4)

1 answer:

3 0

Slope-intercept form: y=mx+b, with m being the slope and b being the y-intercept. First, plug in the given slope into the slope form:

y=2x+b

Now, given the coordinates (1,4), you can plug the coordinates into the equation for x and y respectively, to solve for b (the y-intercept).

4=2(1)+b

4=2+b

Subtract 2 from both sides.

2=b

The y-intercept is 2.

Now, plug that into the equation:

y=2x+2

The answer is y=2x+2.

I hope this helps :)

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3 years ago

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Natali [406]

Answer:

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3 years ago

What is the following product

dangina [55]

Option B is correct.

Step-by-step explanation:

We need to solve: $\sqrt[3]{x^2}\sqrt[4]{x^3}$

We know that: $\sqrt[n]{x}\sqrt[b]{x} =\sqrt[n*b]{x.x}= \sqrt[n*b]{x^2}$

Applying the above rule:

$\sqrt[3]{x^2}\sqrt[4]{x^3}\\=\sqrt[3*4]{x^2.x^3}\\=\sqrt[12]{x^5}$

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Keywords: Solving with Exponents

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3 years ago

Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x

sineoko [7]

The equation which shows the true solution to the given logarithmic equation is,

$x=1$

<h3>What is power rule of logarithmic function?</h3>

The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.

For example,

$n\log_b(M)=\log_b(M)^n$

Given information-

The logarithmic equation given in the problem is,

$3\log_2(2x)=3$

Using the power rule of the logarithmic function,

$\log_2(2x)^3=3$

Using the exponent rule of the logarithmic function the above equation can be written as,

$(2x)^3=3$

Solve it further,

$8x^3=3\\x^3=1\\x=1$

Hence, the equation which shows the true solution to the given logarithmic equation is,

$x=1$

Learn more about the rules of logarithmic function here;

brainly.com/question/13473114

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2 years ago

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gladu [14]

3 + 3 + 1 = 7

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3 years ago

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