The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)
<h3>Inequality</h3>
It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
For solving this exercise, it is necessary to find a number solution for the given inequality.
First, you should find the critical points of the inequality.
x+2=0
x = -2
and
x-5=0
x=5
Write, the intervals in between critical points. Therefore, -2<x<5.
Read more about inequalities here.
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9514 1404 393
Answer:
19. B -- continued, but modest ...
Step-by-step explanation:
19. There is no decline or decrease indicated on this graph. If growth were exponential, the graph would be concave upward, which it is not. There is continued growth indicated.
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20. The percentage change from 2005 to 2010 is ...
(60 -20)/20 × 100% = 2 × 100% = 200%
One might compute an average rate of change per year of ...
200%/(5 yr) = 40%/yr
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<em>Additional comment</em>
As with any statement of percentage, you need to be very clear about what the base is.
Here, 100% is the number of farms in 2005, so an increase of 40% per year is an increase by 40% of the number in 2005. That is very different from 40% of the number in the previous year, which is how an annual percentage increase is usually interpreted. (The average annual rate of change is closer to 24% with respect to the previous year's number.)
Answer:
12 in
Step-by-step explanation:
the scale factor of the enlarged frame is found by comparing the widths
original width : enlarged width = 2 : 6 = 1 : 3
That is 3 times the original width , then
enlarged height = 4 × 3 = 12 in
Answer:
<h2>B. -3.2</h2>
Step-by-step explanation:
Answer:
density =8.87g/cm³
From chart the density shows that it is a Colsibro copper alloy, a precipitation hardening copper nickel silicon.
Step-by-step explanation:
This problem bothers on the density of substances
Given data
Mass m of substance = 239.6grams
length l=3cm
width b=3cm
height h=3cm
Volume of substance =l*b*h
=3*3*3=27cm³
We know that the density of the substance ρ=mass/volume
ρ= 239.6/27= 8.87g/cm³
