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4 years ago

24x + 15 find the value of x

Mathematics

1 answer:

nika2105 [10]4 years ago

5 0

Answer:

x=-0.625

Step-by-step explanation:

24x+15=0

-15 -15

24x=-15

x=-0.625

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Solve<br><br> 9x^2 + 42x + 49 = 0

svet-max [94.6K]

Because of the relatively large coefficients {9, 42, 49}, applying the quadratic formula would be a bit messy. Instead, I've chosen to "complete the square:"

9x^2 + 42x + 49 = 0 can be re-written as 9 [ x^2 + (42/9)x ] = -49

Dividing both sides by 9, we get [ x^2 + (42/9)x ] = - 49/9

Completing the square: [ x^2 + (42/9)x + (21/9)^2 - (21/9)^2 ] = -49/9

[ x + 21/9 ]^2 = 441/81 - 441/81 = 0

Then [ x + 21/9 ] = 0, and x = -21/9 (this is a double root).

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2 years ago

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Find the measure of an angle whose supplement is six times its complement. Hint: The supplement and complement of an angle are (

sveticcg [70]

Let us translate the statements in the problem to mathematics equations

Let the angle is x degree

So its supplement is

$180^{\circ}-x$

And its complement is

$90^{\circ}-x$

Since the supplement is 6 times its complement, so Multiply the complement by 6 and equate the answer by the supplement

$180-x=6(90-x)$

Let us simplify the right side

$180\text{ - x = 6(90) - 6(x)}$ $180\text{ - x = 540 - 6x}$

Now let us solve the equation to find x

At first, add 6x to both sides to put x in the left side

$\begin{gathered} 180\text{ - x + 6x = 540 - 6x + 6x} \\ 180\text{ + 5x = 540} \end{gathered}$

Now subtract 180 from both sides to put the number in the right side

$\begin{gathered} 180\text{ - 180 + 5x = 540 - 180} \\ 5x\text{ = 360} \end{gathered}$

Divide both sides by 5 to get x

$\begin{gathered} \frac{5x}{5}=\frac{360}{5} \\ x=72^{\circ} \end{gathered}$

So the measure of the angle is 72 degrees

You can check the answer

180 - 72 = 108

90 - 72 = 18

18 * 6 = 108

So the supplement of 72 is six times its complement

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1 year ago

Write 3x = 66 as a logarithmic function.

Musya8 [376]

Log(3) + log(x)=log(66)
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24x + 15 find the value of x​

24x + 15 find the value of x