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3 years ago

The graph of which of the following inequalities has open circles on -8 and 2 with a line segment between them

Mathematics

2 answers:

Helen [10]3 years ago

6 0

Answer:

Option C is correct answer.

Step-by-step explanation:

since -8 and 2 are end points with open circle therefore

If l x -a l < R

means -R< x-a< R

-R+a<x <a+R

Comparing it with -8<x<2 gives

a-R= -8

a+R= 2

Adding both ,we get 2a = -6 which equals a =-3

plugging the value a =-3 in equation a+R=2

-3+R=2 gives R =5

therefore the inequality is lx-(-3) l < 5

on simplifying we get

l x+3< 5

Option C is the correct answer

Korolek [52]3 years ago

3 0

A. Can NOT be true since the absolute value will be greater than 0.
B. Does NOT work with the solutions -8 and 2.
C.√ Correct
|-8+3| = 5
|2+3| = 5

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3 years ago

Read 2 more answers

01.05 what is the slope intercept form equation of the line that's passing through (1,3) and (3,7)

Butoxors [25]

Hello!

To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.

Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope

The slope formula is: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . To use this formula, you need two points and also, you need to assign these points to $x_{1}$ , $x_{2}$ , $y_{1}$ , and $y_{2}$ .

In this case, $x_{1}$ and $x_{1}$ is assigned to the ordered pair (1,3), while $x_{2}$ and $y_{2}$ is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.

$\frac{7-3}{3-1} =\frac{4}{2} = 2$

The slope of these two points is 2.

2. Find the y-intercept

To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.

y = 2x + b (substitute)

3 = 2(1) + b (simplify)

3 = 2 + b (subtract 2 from both sides)

1 = b

The y-intercept of the two points is (0, 1).

With the necessary values to complete the equation, we can write the final equation.

The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.

7 0

3 years ago

Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Natalka [10]

15!!! is the answer to your question:)