Answer:
-3-5i
Step-by-step explanation:
The correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option
<h3>Linear Inequalities </h3>
From the question, we are to determine the graph for the given compound inequality
The given compound inequality is
4p + 1 < −11 or 6p + 3 > 39
Solve the inequalities separately
4p + 1 < −11
4p < -11 - 1
4p < -12
p < -12/4
p < -3
OR
6p + 3 > 39
6p > 39 - 3
6p > 36
p > 36/6
p > 6
Thus,
p < -3 OR p > 6
Hence, the correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option
Learn more on Linear Inequalities here: brainly.com/question/5994230
#SPJ1
Answer:
The fourth term of the sequence B(4) =-8
The sequence is 1,-2,4,-8...
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the sequence
B(n) = 1(-2)ⁿ⁻¹
Put n=1
B(1) = 1(-2)¹⁻¹ = 2⁰ =1
Put n=2
B(2) = 1(-2)²⁻¹ = (-2)¹ =-2
Put n=3
B(3) =1(-2)³⁻¹ = (-2)² =4
Put n=4
B(4) = 1(-2)⁴⁻¹ =(-2)³ =-8
The sequence
1,-2,4,-8...
Answer:
9 3/4 pages = x
Step-by-step explanation:
change 3 1/4 to a decimal
working with the fraction
3 1/4 /8 = x/ 24
3 1/4 (24) = 8x
13/4 (24) = 8x
316/4 = 8x
78 = 8x
78/8 = x
9 3/4 = x
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.
We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.
The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.
Therefore
Area of band
[recall
or 20(x+5) if you wish.