Answer:
x⁵ +x⁴ +x³ +x² +x +1
Step-by-step explanation:
Your expression matches the pattern with n=6, so fill in that value of n in the quotient the pattern shows:
Answer: Sergio's expression is incorrect because he can not simplify 3-6x and Leon's expression is incorrect because he did not multiply 3 by -1.
Step-by-step explanation:
Here, given expression, 9 - (3 - 6x)
After simplifying this we get the following steps,
Step 1) 9 - (3 - 6x) = 9 - 3 +6x ( by removing parenthesis ) -----(1)
Step 2) 9 - (3 - 6x) = 6 + 6x
Step 3) 9 - (3 - 6x) = 6(1 + x) ( because 6 is common in both term of right side)
Since, when Sergio simplified it he wrote 9−(-3x), which is not matching to the above steps. that, is he is incorrect, because in his explanation he wrote -3x after simplifying 3-6x which can not be solved.
Moreover, the expression of Leon is also not matching to any of the above steps,
Thus he is also incorrect because after removing parenthesis he did not multiply 3 by -1 .
<h3>
Answer: B) 49.22</h3>
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Work Shown:
cos(angle) = adjacent/hypotenuse
cos(43) = 36/x
x*cos(43) = 36
x = 36/cos(43)
x = 49.2237885995494
x = 49.22
Your calculator needs to be in degree mode.
Answer:
all real numbers
Step-by-step explanation:
Here is the solution to the first inequality:
3(2x +1) > 21 . . . . . . given
6x +3 > 21 . . . . . . . . eliminate parentheses
6x > 18 . . . . . . . . . . .subtract 3
x > 3 . . . . . . . . . . . . divide by 6
This is all numbers to the right of 3 on the number line.
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The solution to the second inequality is ...
4x +3 < 3x + 7 . . . . given
x < 4 . . . . . . . . . . . . subtract 3x+3
This is all numbers to the left of 4 on the number line.
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The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. <em>Any value of x</em> will satisfy one or the other or both of these inequalities. The solution is all real numbers.
Answer:
Step-by-step explanation:
5 men do 1 unit of work in 1 hr. 1 man does 1/5 unit of work in 1 hr. 2 men do 2/5 units of work in 1 hr. Therefore 2 men will take 5/2 hours to dig 1 hole and take 5/4 hrs to dig half a hole.