The solution of the inequality is x ≥ -3 and the graph is shown below
<h3>Graph of inequalities </h3>
From the question, we are to determine the graph that represents the given inequality
The given inequality is
−3x + 1 ≤ 10
First, we will solve the inequality
−3x + 1 ≤ 10
Subtract 1 from both sides
−3x +1 -1 ≤ 10 - 1
−3x ≤ 9
Divide both sides by -3 and<u> flip the sign</u>
x ≥ -3
The graph of the inequality is shown below
Learn more on Graphing inequalities here: brainly.com/question/13053003
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Answer:
axis of symmetry x=3/2
vertex (3/2, 0)
Step-by-step explanation:
to find the axis of symmetry we use h = -b/2a
where ax^2 + bx+c
h = -(-12)/2(4)
h= 12/8
h = 3/2
the axis of symmetry is x = 3/2
the x coordinate of the vertex is h x=3/2
to find k, the y coordinate of the vertex, substitute x=3/2 into the equation
y=4x^2-12x+9
y=4(3/2) ^2-12(3/2)+9
= 4 (9/4) - 6*3 +9
= 9-18+9
= 0
the vertex (3/2, 0)
Answer:
7 sheets of paper
Step-by-step explanation:
$40-$19=$21
$21/$3=7 sheets of paper.
In words:
I did 40 minus 19 to get 21, and the divided 21 by 3 to get 7 sheets of paper.
Answer:
x ≈ 29.4 ft
Step-by-step explanation:
The model is a right triangle.
Using the tangent ratio
tan40° = 
= 
( multiply both sides by 35 )
35 × tan40° = x , then
x ≈ 29.4 ft ( to 1 dec. place )
