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3 years ago

How many solutions can the equation 6x = 48 have?

Mathematics

1 answer:

ziro4ka [17]3 years ago

7 0

Only one. 8

Divide by 6 on both sides. x = 8. That's it.

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Plzzz Solve these 7 Questions ASAP !! PLZZZZZZZZZZZ IT'S A REQUEST !!!

e-lub [12.9K]

Answer:

B is an answer.

6 0

3 years ago

Which equation is y = –6x^2 + 3x + 2 rewritten in vertex form? y = negative 6 (x minus 1) squared + 8 y = negative 6 (x + one-fo

mart [117]

Answer:

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Step-by-step explanation:

Given:

$y = -6x^2 + 3x + 2$

Required

Rewrite in vertex form

The vertex form of an equation is in form of: $y = a(x - h)^2+ k$

Solving: $y = -6x^2 + 3x + 2$

Subtract 2 from both sides

$y - 2 = -6x^2 + 3x + 2 - 2$

$y - 2 = -6x^2 + 3x$

Factorize expression on the right hand side by dividing through by the coefficient of x²

$y - 2 = -6(x^2 + \frac{3x}{-6})$

$y - 2 = -6(x^2 - \frac{3x}{6})$

$y - 2 = -6(x^2 - \frac{x}{2})$

Get a perfect square of coefficient of x; then add to both sides

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Rough work

The coefficient of x is $\frac{-1}{2}$

It's square is $(\frac{-1}{2})^2 = \frac{1}{4}$

Adding inside the bracket of $-6(x^2 - \frac{x}{2})$ to give: $-6(x^2 - \frac{x}{2} + \frac{1}{4})$

To balance the equation, the same expression must be added to the other side of the equation;

Equivalent expression is: $-6(\frac{1}{4})$

------------------------------------------------------------------------------------

The expression becomes

$y - 2 -6(\frac{1}{4})= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{6}{4}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{3}{2}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

Factorize the expression on the right hand side

$y - 2 -\frac{3}{2}= -6(x - \frac{1}{2})^2$

$y - (2 +\frac{3}{2})= -6(x - \frac{1}{2})^2$

$y - (\frac{4+3}{2})= -6(x - \frac{1}{2})^2$

$y - (\frac{7}{2})= -6(x - \frac{1}{2})^2$

$y +\frac{7}{2} = -6(x - \frac{1}{2})^2$

Make y the subject of formula

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Solved

7 0

3 years ago

Read 2 more answers

-9y=3x+81 find slope

natima [27]

Answer:

divide by -9 and you get -3/9x-9 simplify -3/9 to -1/3

Step-by-step explanation:

-1/3x is your slope

4 0

1 year ago

Can someone help I’m confused

PtichkaEL [24]

Since the slope is -2 we know that m=-2. Now use the standard form of y=mx+b and plug in the coordinates (-8,2). We know y=2, x=-8, and m=-2. Therefore we get 2=-2(-8)+b. Now solve for b and you get -14. Therefore, the equation is y=-2x-14.
Hope this helped!

4 0

3 years ago

How can you decompose the composite figure to determine its area?

Anna007 [38]

For this case the first thing you should do is observe that the diameter of the four semicircles is the same.

Therefore, we can decompose the figure as follows:

1) We draw the diameters of the four semicircles to form a square.

2) We divide the figure into a square and four semicircles

3) The total area is the sum of the area of the square, plus the area of the 4 semicircles.

Answer:

c)as a square and four semicircles

5 0

3 years ago

Read 2 more answers