Answer:
Inequality (1) → y > 2x
inequality (2) → x ≥ -2
Step-by-step explanation:
If the inequality (1) is a dotted line passing through origin.
Since, shaded area is above the dotted line,
Equation of the inequality will be in the form of y > mx +b
Here m = slope of the dotted line
b = y-intercept
Since, this line is passing through the origin,
Therefore, y-intercept = 0
Slope 'm' of the line = 
= 
m = 2
Inequality (1) → y > 2x
Second inequality is represented by the shaded area on the right side of the dark vertical line, x = -2,
Therefore, inequality 2 will be → x ≥ -2
Answer:479001600
Step-by-step explanation:
12 factorial is 12 * 11 * 10 ..... all the way to one
A way to do it by hand is
12 * 1
11 * 2
10 * 3
9 * 4
8 * 5
7 * 6
stop here because 6 * 7 and 5 *8 are already listed
This gives you 6 products then multiply those 6 products by pairs which gives you three pairs which gives you three products then compute a pair then multiply by last product.
Easy math but a lot of written work
Answer:
If you reduce this to the lowest terms you get 4/9
Step-by-step explanation:
In order to simplify the fraction 32/72, you can divide each term by 8.
32/8 = 4
72/8 = 9
Therefore, we get 4/9
Answer:
Step-by-step explanation:
6*68=408
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48/10=4.8
----------------
3.8=x/7.7
x=3.8*7.7x
x=29.26
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x+5.1=13.4
x=13.4-5.1
x=8.3
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8x=64
x=64/8
x=8
--------------
22=m+1
m=22-1
m=21
----------
45-4x for x=5
45-4(5)=45-20=25
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256, 64, 16, 4
Answer: He will pay $630 over the course of the loan.
Step-by-step explanation:
Formula for simple interest :
S.I. = PRT, where P=principal amount , R =rate of interest ( in decimal), T=time (in years)
As per given ,
P = $1,400 , t = 5 years , r = 9% = 0.09
Simple interest = (1400) x (0.09) x (5)
⇒ Simple interest = $ 630
Hence, he will pay $630 over the course of the loan.
