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love history [14]
4 years ago
14

Solve for x: |4x + 12| = 16

Mathematics
2 answers:
alina1380 [7]4 years ago
8 0
4x + 12 = 16
(4x1) +12 = 16

X = 1
frosja888 [35]4 years ago
3 0
<span>|4x + 12| = 16
As it is in modulus function, it could be either +ve or -ve
4x+12 = 16   OR   4x - 12 = 16
4x = 16-12    OR   4x = 16 + 12
4x = 4           OR   4x = 28
x = 4/4     OR  x = 28/4
x = 1  OR   x = 7

In short, Your Answer would be either 1 or 7

Hope this helps!</span>
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Write this equation in vertex form.<br> y = x^2 -12x +20
kotegsom [21]

Answer:

y = (x-6) ^ 2 -16

Step-by-step explanation:

The vertex form for a quadratic equation has the following form:

y = (x-h) ^ 2 + k

Where the vertice of the equation is the point (h, k)

To transform the equation y = x ^ 2 -12x +20 in its vertex forms we must find its vertex.

Be a quadratic equation of the form:

ax ^ 2 + bx + c

Where a, b and c are real numbers, then the vertex of the equation will be:

x = - \frac{b}{2a}

For the given equation:

b = -12\\a = 1

Therefore the vertice is:

x = - \frac{-12}{2(1)}\\\\x = 6

Now we substitute x = 6 into the equation and find the value of k.

y = (6) ^ 2 -12 (6) +20\\\\y = -16 = k

Therefore the vertice is: (6, -16)

And the equation is:

y = (x-6) ^ 2 -16

8 0
3 years ago
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Need help plz help me out thanks!
Elden [556K]

Answer:

I hope this helps!

Step-by-step explanation:

3y(5x+3)=15yx+9y

2y(2x+3)=4yx+6y

4y(x+2)=4yx+8y

3y(7x+2)=21yx+6y

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Answer:

9

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irina1246 [14]

Answer:

\frac{21}{8}

Step-by-step explanation:

Given: 3\frac{1}{8} - \frac{1}{2}

Let's changed that mixed number to an improper fraction. Now we get:

\frac{25}{8} - \frac{1}{2}

Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:

\frac{25}{8} - \frac{4}{8}

We can use \frac{4}{8} because it is equal to \frac{1}{2}. Now, all we need to do is subtract the numerators:

\frac{25}{8} - \frac{4}{8}=\frac{21}{8}

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