Answer:
x > 1/5
Step-by-step explanation:
All of these three triangle inequalities must be satisfied:
AB +BC > AC
BC +CA > BA
CA +AB > CB
___
Taking these one at a time, we have ...
AB +BC > AC
3x +4 + 2x +5 > 4x
x +9 > 0 . . . . . subtract 4x
x > -9
__
BC +CA > BA
2x +5 + 4x > 3x +4
3x > -1 . . . . . . subtract 3x+5
x > -1/3 . . . . . divide by 3
__
CA + AB > CB
4x + 3x +4 > 2x +5
5x > 1 . . . . . . subtract 2x+4
x > 1/5
___
The only values of x that satisfy all of these inequalities are those such that ...
x > 1/5
Hello!
When multiply binomials together, we should use the FOIL method.
The FOIL method is an acronym for First, Outer, Inner, and Last.
First, let's set up the expression.
(7x - 1)(3x - 2)
Now, we can multiply in accordance with the FOIL method.
First: 7x · 3x = 21x²
Outer: 7x · -2 = -14x
Inner: -1 · 3x = -3x
Last: -1 · -2 = 2
Now, we simplify the inner terms.
21x² - 14x - 3x + 2
21x² - 17x + 2
Therefore, the area of the rectangle is 21x² - 17x + 2.
Step-by-step explanation:
9 apples for $4.23
Thats the answer
The salesperson would earn $800 as gross base paycheck
How many hours of did the salesperson achieve?
The salesperson only worked 40 hours of normal time and there is no overtime, which means that the hourly rate remains $10.00 base salary
In other words, in determining the biweekly pay of the salesperson, we would consider the number of hours in a week, the number of weeks payment is made for and the hourly rate
biweekly gross paycheck=number of weeks*hours per week* hourly rate
number of weeks=2
hours per week=40
hourly rate=$10.00
biweekly gross paycheck=2*40*$10.00
biweekly gross paycheck=$800.00
The biweekly gross paycheck of the sales person is $800,option is the most appropriate
Find out more about 40-hour week on:brainly.com/question/7695086
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Answer:
B. 5
D. 9
F. 7
Step-by-step explanation:
A triangle has sides a,b and c:
And a < b+c , b < a+c and c < b+a
Here, a = 4 and b = 7
Find c?
So, 4 < 7+c , 7 < 4+c and c < 4+7=11
A. 11 False, it doesn't satisfies inequality third
B. 5 True
C. 17 False, it doesn't satisfies inequality third
D. 9 True
E. 3 Not true it doesn't satisfies second inequality
F. 7 True
