3 years ago

Which represents the solution to the absolute value equation? 3|2x+4|-1=11

1 answer:

5 0

The first step for absolute value equations is to isolate the expression contained within the absolute value bars:

3|2x+4|-1 = 11
3|2x+4| = 12
|2x+4| = 4

so |2x+4| is 4 units away from 0 on a number line, but we don't know in which direction -- negative or positive? you'll have two answers.

2x+4 = 4

AND

2x+4 = -4

solve both of those two step equations and you'll get

x = 0

AND

x = -4

so 0 and -4 are your solutions.

You might be interested in

Suppose triangle ABC will be dilated using the rule . What will be the distance from the center of dilation, Q, to the image of

Blababa [14]

Answer:

Step-by-step explanation:

The rule of dilation is $D_{Q,\frac{2}{3}}.$ This means that each distance QX' is equal to $\dfrac{2}{3}QX,$ where X is initial point and X' is its image after dilation.

Since QA=6, then

$QA'=\dfrac{2}{3}\cdot 6=4.$

6 0

3 years ago

Read 2 more answers

4 + 8x = -12 <br> what is X?

Elena L [17]

Answer:

x=-2

Step-by-step explanation:

4+8x=-12

-4 -4

8x = -16

/8 /8

x = -2

5 0

3 years ago

Read 2 more answers

Given the function f(x) = 4(2)x, section a is from x = 1 to x = 2 and section b is from x = 3 to x = 4. part

Aliun [14]

A. Average rate of change for x=1 to 2: 4(2²)-4(2)=16-8=8; from x=3 to 4: 4(2⁴)-4(2³)=64-32=32.
b. Section b is 32/8=4 times greater. As the exponent of 2 increases, the gaps between consecutive powers of 2 gets wider and therefore the rate of change is greater.

6 0

3 years ago

An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to

natita [175]

Snow storm= y-axis
Time in hours=x-axis

6 0

3 years ago

Read 2 more answers

Subtract (x^2-5x+4)-(8x-9)

cluponka [151]

Answer: x^2 - 13x + 13

Step-by-step explanation: