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3241004551 [841]

3 years ago

15

Solve the proportional equation below: x/4 = x-6/3

1 answer:

aleksandrvk [35]3 years ago

8 0

<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

$\boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}$

$\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}$ ‏‏‎ ‏‏‎‎ $\mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}$ ‏‏‎‎

$\boxed{\mathsf{3x = 4(x - 6)}}$

Apply the distributive property:

$\mathsf{3x = 4(x-6)}$

$\mathsf{3x = 4(x) - 4(6)}$

$\mathsf{3x = 4x - 24}$

Add 24 to both sides:

$\mathsf{3x + 24 = 4x - 24 + 24}$

$\mathsf{3x + 24 = 4x}$

Substract 3x to both sides

$\mathsf{3x - 3x + 24 = 4x - 3x}$

$\mathsf{24 = 4x - 3x}$

$\large{\boxed{\mathsf{24 = x}}}$

‎ ‏‏‎

<h3><u>Answer</u>. The value of x = 24.</h3>

‎ ‏‏‎

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HELP !!! Evaluate f(-2) for the function f(x) = 3x2 + 2x - 5

Phoenix [80]

Answer:

3

Step-by-step explanation:

So we have the function:

$f(x)=3x^2+2x-5$

To evaluate the value of f(-2), substitute -2 for x. Thus:

$f(-2)=3(-2)^2+2(-2)-5$

Square first:

$f(-2)=3(4)+2(-2)-5$

Multiply:

$f(-2)=12-4-5$

Now, subtract:

$f(-2)=8-5=3$

So:

$f(-2)=3$

And we're done!

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3 years ago

Which is the graph of f(x) = (x - 1)(x + 4)?

zheka24 [161]

You can determine this by finding zeros of quadratic function,

$(x-1)(x+4)=0\implies x_1=1, x_2=-4$ .

Which eliminates first and third option.

Now we have up and down parabolas left.

If we factor $(x-1)(x+4)=x^2+4x+\dots$ we find that the coefficient before $x^2$ determines how it is turned, since its positive its an upward turned parabola hence the answer is the last graph.

Hope this helps.

6 0

3 years ago

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postnew [5]

I'm going to assume that's a multiplication not a decimal point.

$\sqrt{81 \cdot 49} = \sqrt{9 \cdot 9 \cdot 7 \cdot 7} = \sqrt{63 \cdot 63} = 63$

Answer: 63

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3 years ago

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algol [13]

Answer:

<h2> $h = \frac{3V}{b} \\$ </h2>

Step-by-step explanation:

$V = \frac{1}{3} bh \\$

To solve for h multiply through by 3 to eliminate the fraction

That's

$3V = 3 \times \frac{1}{3} bh \\ 3V = bh$

Divide both sides by b to make h stand alone

$\frac{bh}{b} = \frac{3V}{b} \\$

We have the final answer as

$h = \frac{3V}{b} \\$

Hope this helps you

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