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Irina18 [472]
3 years ago
6

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

Mathematics
2 answers:
pentagon [3]3 years ago
4 0
To solve
if you have |a|=b, solve a=b and a=-b

|4x+12|=16
solve
4x+12=16 and 4x+12=-16
minus 12 both sides
4x=4 and 4x=-28
divide both sides by 4
x=1 and x=-7
soldier1979 [14.2K]3 years ago
4 0
X= 1, -7 


find all the solutions for x by breaking down the absolute value into negative and positive pieces or components.
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Bill ran 400 m in 54s. joe ran 300m in 43s. who ran faster
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Bill

Step-by-step explanation:

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mariulka [41]

Answer:

The answer is 55 6/9, but when simplified, it is 55 1/3

4 0
3 years ago
does anyone know how to solve this? i dont remember doing any problems in class related to this and this single question alone h
Serggg [28]

Answer:

The answer to your question is below

Step-by-step explanation:

Process

1.- Get two points of each line to find the equation of each line

   Continuous line    A (-10, 0)  B (0, 9)

   Dotted line            C (-2, -3)   D (0, -10)

 Slope continuous line    m = \frac{9 - 0}{0 + 10} = = \frac{9}{10}

 Slope dotted line     m = \frac{-10 + 3}{0 + 2} = \frac{-7}{2}

2.- Get the equation of each line

     Continuous line    y + 0 = 9/10 (x + 10)

                                   y = 9/10x + 9

      Dotted line          y + 3 = -7/2(x + 2)

                                    y + 3 = -7/2x - 7

                                    y = -7/2x -7 - 3

                                    y = -7/2x - 10

3.- Find the inequalities

   <u> Continuous line</u> (we need the upper area of the line, we use ≥)

                               y ≥ 9/10x + 9

   The <u>Dotted line</u> (we also need the upper area, we use >)

                              y > -7/2x - 10

6 0
3 years ago
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The function f(x) = 7(1.32)x models the number, in billions, of the DNA sequences in a database x years since 2010. What does th
NikAS [45]

Answer:

The correct option is (A).

Step-by-step explanation:

The function representing the growth of number, in billions, of the DNA sequences in a database x years since 2010 is:

f(x)=7\cdot (1.32) x

The general growth function can be represented as:

y=a\cdot (1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time

Com-paring the two functions we get:

1+r=1.32\\r=1.32-1\\r=0.32

This implies that the annual increase rate in number, in billions, of the DNA sequences is 32%.

Thus, the correct option is (A).

7 0
3 years ago
Simplify: -6(<br> 5<br> 3<br> x + 4)
Free_Kalibri [48]

Answer X = 2

Step-by-step explanation:

-30 + -18 - X + - 24,

+ 30                    +30

0                           6

-18 -x = -6

DIVIDE

3 -x = -1

BRING THE 3 OVER TO THE NEGATIVE ONE

YOU GET

X = 2

4 0
4 years ago
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