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MakcuM [25]
3 years ago
15

Solve the equation and show the solution set on a number line: |x+5|=x+5

Mathematics
1 answer:
stiv31 [10]3 years ago
6 0

Answer: x ≥  -5

Step-by-step explanation:

First, let's see how the function f(x) = IxI works:

if x ≥ 0, IxI = x

if x ≤ 0, IxI = -x

Notice that for 0, I0I = 0.

Ok, we want that:

|x+5| = x+5

Notice that this is equivalent to:

IxI = x

This means that  |x+5| = x+5 is only true when:

(x + 5) ≥ 0

from this we can find the possible values of x:

we can subtract 5 to both sides and get:

(x + 5) -5 ≥ 0 - 5

x ≥  -5

So the graph in the number line will be a black dot in x = -5, and all the right region shaded.

something like:

-7__-6__-5__-4__-3__-2__-1__0__1__2__3__4__ ...

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Answer:

y>x-2

Step-by-step explanation:

When we see an inequality on a coordinate plane, we first treat it like a linear equation. The red inequality, or the red line, clearly has a positive slope. One can assume that this slope is 1. This line is also 2 units down, making the inequality x-2. There you have it!

Furthermore, we can tell it is the 1st choice because the line is dashed. In inequalities, the line is only dashed when the inequality contains < or >. Also, the shading is "above" the line, meaning the y must be greater than the line.

3 0
3 years ago
A card is drawn from a well shuffled deck of 52 cards what is the probability of drawing an ace or a six
Allisa [31]

Answer:

8/52

Step-by-step explanation:

The first thing to do is write it out;

How many aces are in a deck and how many sixes?

There are 4 of each so, 4+4 = 8 therefore our beginning ratio will be;

8/52 cards are going to be an ace or a six.

6 0
3 years ago
If briana rounds 9.124 to the nearest hundredth, what digit will be in the hundredths place?
brilliants [131]
I got the answer 9.12. In the hundredths place, it would be 2.
Hope this helps! :D
6 0
4 years ago
Read 2 more answers
Is 0 a positive number?
Svetllana [295]
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A car travels at 4,400 feet per minute. The radius of each tire on the car is 1 foot . How many revolutions does one of these ti
jeyben [28]
700 rotations
If the radius is 1 foot, the diameter is 2 feet (twice the radius). The circumference of a circle is pi times the radius. Using 22/7 as pi, the circumference of each tire is (22/7)*2 feet. That is the same as 44/7 feet.
If the car is going 4400 feet per minute, the tires will "rotate 4400 feet from the circumference" - if you know what I mean. The tire completes one rotation every 44/7 feet. So, in 4400 feet it will complete (4400)/(44/7) feet. That is equal to 4400*7/44. Put that in a calculator and you get: 700.
**
7 0
3 years ago
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