Select the graph for the solution of the open sentence. Click until the correct graph appears. 2|x| + 1 < 5

Mathematics

1 answer:

Paul [167]3 years ago

3 0

Answer:

The correct answer is x < 2 or x > -2. The graph would be a line between -2 and 2 with an open circle on both.

Step-by-step explanation:

To solve, first solve the equation for the absolute value portion of the equation.

2|x| + 1 < 5

2|x| < 4

|x| < 2

Now since there is an absolute value around it, we have to complete it for the positive and negative versions.

x < 2 OR x > -2

You might be interested in

Judy took $30 with her to spend on popcorn and drinks for her and her friend At the movies popcorn was $5 the price of each soda

Sonbull [250]

So 2 popcorn = $5×2= $10
And 2 soda. =$2.50×2=$ 5
Add $10+$5=$15.... Judy spent $15 from $30

Hoping this will help.

6 0

2 years ago

Find the value of x, rounded to the nearest tenth?

Stolb23 [73]

Answer:

Step-by-step explanation:

we can use the trigonometric function in a right triangle

cos x = adjacent side to the angle /hypothenuse

cos 36°= x/10 ; multiply both sides by 10

10 * cos 36° = x ; make sure your calculator mode is in degrees

8.1 = x

4 0

3 years ago

67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

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

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :