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3 years ago

Y = 3x + 4 What is the y-intercept? What is the slope?

Mathematics

2 answers:

Nata [24]3 years ago

8 0

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day! My name is Galaxy and I will be helping you today.

We can solve this problem in a single step, I'll start off with that.

When we look at the problem, we can see that its written in $y=mx+b$ form in which $m$ is the slope and $b$ is the y intercept.

Since we know this, we can find the slope and y intercept of your problem:

$y=3x+4$

$m=3\\b=4$

Therefore, the slope is 3 and the y intercept is $(0,4)$ .

Cheers!

AnnyKZ [126]3 years ago

6 0

Answer:

Slope = 3

Y-intercept = 4

Step-by-step explanation:

Our equation:

y = mx + b

Given equation:

y = 3x + 4

Now, let's compare both the equations.

=> y = mx + b = y = 3x + 4

We can clearly see that 'm = 3 and b = 4'

Therefore:

m = 3
b = 4

Hoped this helped.

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Luda [366]

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

$f(x) = \dfrac{1 + 2\cdot x}{x}$

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

$\dfrac{1 + 2\cdot x}{x} = 2 + x$

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1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

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f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

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2 years ago

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3 years ago

Calculer x si (x+1/2)^2= 4/9

-Dominant- [34]

Answer:

$x=-\frac{7}{6}\\x=\frac{1}{6}$

Step-by-step explanation:

The equation to solve is:

$(x+\frac{1}{2})^2=\frac{4}{9}$

To get rid of the "square", we need to take square root of both sides:

$\sqrt{(x+\frac{1}{2})^2}=\sqrt{\frac{4}{9}}\\x+\frac{1}{2}=\frac{\sqrt{4}}{\sqrt{9}}$

Then we use algebra to find the value(s) of x. Remember, when we take square root, we have to add up a "+-" (on the right side). Shown below:

$x+\frac{1}{2}=+-\frac{\sqrt{4}}{\sqrt{9}}\\x+\frac{1}{2}=+-\frac{2}{3}\\x=\frac{2}{3}-\frac{1}{2}=\frac{1}{6}\\x=-\frac{2}{3}-\frac{1}{2}=-\frac{7}{6}$

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