To solve, you start with distributive property and multiply 7 by n and 3 for
7n-21<-63 the you get the 7n alone by adding 21 to -63 and the 21 for 7n<-42. now you divide 7 by itself and 42 for n<-6
Answer:
Aditya evaluates the numerator of the expression when x = –1. He finds the remainder of the division to be –1
Step-by-step explanation:
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1
To obtain the answer to question, let us apply the remainder theorem. This is illustrated below:
Assume:
x + 1 = 0
Subtract 1 from both side
x + 1 – 1 = 0 – 1
x = – 1
Next, we shall substitute the value of x into – 12x¹⁷+ 3x⁵ – 9x² – 1. This is illustrated below:
– 12x¹⁷+ 3x⁵ – 9x² – 1
x = – 1
– 12(–1)¹⁷+ 3(–1)⁵ – 9(–1)² – 1
– 12(–1) + 3(–1) – 9(1) – 1
12 – 3 – 9 – 1
= –1
Thus, using the remainder theorem,
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1 will result to –1
Answer:
12. a = 2
13. 
Step-by-step explanation:
12.
6a(a + 3) = 2a(3a + 5) + 16
First, distribute 6a on the left side, and distribute 2a on the right side.
6a² + 18a = 6a² + 10a + 16
Subtract 6a² from both sides.
18a = 10a + 16
Subtract 10a from both sides.
8a = 16
Divide both sides by 8.
a = 2
13.
The LCD of 2 and 3 is 6. We multiply both sides of the equation by 6 to get rid of all denominators.
Combine like terms on the left side. Distribute the 2 on the right side.
Subtract 2x from both sides.
Divide both sides by 3.
75 - 75 = 0, therefore, your answer is equal to zero
hope this helps
Answer:
k = 10.39
Step-by-step explanation:
tangent 30 = opposite side / adjacent side, opposite side = 9, adjacent side = k + 3sqrt3.
tan 30 = 9/(k + 3sqrt3)
0.5774 = 9/(k + 3sqrt3)
k + 3sqrt3 = 15.5885
k = 15.5885 - 3sqrt3
k = 10.392
