3.
2 answers:
Answer:
see below
Step-by-step explanation:
y = 8x − 9
y = 4x − 1
Since both equations are equal to y, we can set them equal to each other
8x-9 = 4x-1
Subtract 4x from each side
8x-4x-9 = 4x-4x-1
4x-9 = -1
Add 9 to each side
4x-9+9 = -1+9
4x = 8
Divide each side by 4
4x/4 = 8/4
x=2
Now find y
y = 4x-1
y = 4(2)-1
y = 8-1
y = 7
(2,7)
The point of intersection when the 2 lines are graphed is (2,7)
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The solution to this system of inequalities x + y>4 , x + y <3 is Option A
The complete question is
Which graph shows the solution to this system of inequalities? x + y>4 x + y <3
The image are attached with the answer.
<h3>What are Inequality ?</h3>When an expression is equated with another expression by an Inequality operator (< , > < etc) then the mathematical statement formed is called Inequality.
The inequalities are
x+y>4
x + y <3
After plotting both the inequalities in the graph the following graph that is attached with the answer is obtained.
Therefore the correct answer is Option A
To know more about Inequalities
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Answer:
8, 12, 16, 20, 24, 28, 32, 36
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
a₁ is the first term and d the common difference
given a₁ = 4 and a₁₀= 40 , then
4 + 9d = 40 ( subtract 4 from both sides )
9d = 36 ( divide both sides by 9 )
d = 4
add d to each term to obtain the next term
4 + 4 = 8
8 + 4 = 12
12 + 4 = 16
16 + 4 = 20
20 + 4 = 24
24 + 4 = 28
28 + 4 = 32
32 + 4 = 36
the 8 terms between 4 and 40 are
8, 12, 16, 20, 24, 28, 32, 36