All categories

2 years ago

Write an absolute value equation to satisfy the given solution set shown on a number line.

Mathematics

1 answer:

aivan3 [116]2 years ago

8 0

Answer: IX - 4I ≤ 4

Step-by-step explanation:

In the numer line we can see that our possible values of x are in the range:

0 ≤ x ≤ 8

And we want to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

IX - 4I ≤ 4

To construct this, we first find the midpoint M of our set, in this case is 4.

Then we write:

Ix - MI ≤ IMI

Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.

You might be interested in

6-column table with 5 rows. The 1st column is labeled + x squared with entries +x, +x, +x, +x, +x. The 2nd column is labeled +x

denis-greek [22]

Answer:

Step-by-step explanation:

5*5=25

5 0

2 years ago

Lori ran the distances shown in the table. write the total distance in miles as a fraction in simplest form

daser333 [38]

0.35+0.2+.25
=0.55+0.2
=0.57
=57/100 miles

8 0

2 years ago

When alice completes each level in her favorite video game she wins 3 extra lives and 6 gold coins

Nataly_w [17]

The answer is 24. because you multiply 8 and 6 <span />

5 0

2 years ago

Read 2 more answers

5 Show different ways to make 492,623.

timama [110]

Step-by-step explanation:

Start by writing 492,623 in standard form

4 hundred thousands + 9 ten thousands + 2 thousands + 6 hundreds + 2 tens + 3 ones

We can write this in other ways by moving a digit to the next smaller place value. For example, we move the 4 one place to the right to get 49 ten thousands:

49 ten thousands + 2 thousands + 6 hundreds + 2 tens + 3 ones

Then, we can move the 49 ten thousands to the right to get 492 thousands, and we can move 6 hundreds to the right to get 62 tens.

492 thousands + 62 tens + 3 ones

Or, we can do this:

4926 hundreds + 23 ones

6 0

2 years ago

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -4).

Step2247 [10]

We have
Parabola
with vertex (0,0) and focus (0,-4)

we know that
is a vertical parabola that opens down
the standard form of the equation is of the form
(x-h)²=-4p(y-k)
where
(h,k) is the vertex----------> (0,0)
p is the distance from the vertex to the focus or directrix
in this problem
p=4
(x-h)²=-4p(y-k)------> x²=-16y-------> y=-(1/16)x²

the answer is the option
<span>D.)y = negative one divided by sixteen x2

see the attached figure</span>

7 0

2 years ago