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2 years ago

Which line is parallel to 4y - 12x = 20

Mathematics

1 answer:

iren [92.7K]2 years ago

6 0

Your answer should be A. Y=3x-1

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list three different ways to write 5 (with an exponents of 11) as the product of two powers. explain why all three of you expres

Lady bird [3.3K]

Ok i got it its 5^1 5^3 5^8 and 5^10 lol yw

7 0

3 years ago

Read 2 more answers

If f(x) = e^X, and W(f, g) = 3e^x, find g(x).

trasher [3.6K]

Answer:

g(x)=3

Step-by-step explanation:

Let's find the answer.

W(f,g)=3e^x which can be written as:

W(f,g)=(3)*(e^x), notice that:

(e^x)=f(x) so:

W(f,g)=3*f(x), establishing:

W(f,g)=g(x)*f(x) then:

g(x)=3

In conclusion, g(x)=3.

5 0

2 years ago

Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$