Short answer
y >-x + 4
y <= 2(x - 1)^2 - 18
Comment
Let's establish what we are talking about. The question says purple and to me purple means the shaded area above the blue and to the upper right of the parabola.
Not so. It is the wine colored area right above the parabola according to the direction of he inequalities.
Second thing: the question is trying to see if you can read all he information you need from a graph.
Step One
Find the equation of the line.
We can read 2 points right away the x and y intercepts.
(4,0) is the x intercept
(0,4) is the y intercept
The general equation for the slope intercept equation is
y = mx + b So when x = 0 then b = y
4 = m*0 + b
b = 4
This far we have
y = mx + 4
when x = 4, y = 0
0 = m*4 + 4 Subtract 4 from both sides.
-4 = m*4 Divide by 4
-4/4 = m
m = - 1
Complete equation is y = -1x + 4
The inequality is y > -x + 4 Top answer block.
Step Two
Find the equation for the parabola
You could just read the minimum point which is (1,-18) There is a catch. (Isn't there always?) This may have a constant in front of the (x - a)^2 term. We'll check that out in the next step.
y = (x - 1)^2 - 18 is the basic vertex solution
Step Three
Find the value of a in
y = a(x - 1)^2 - 18
You have to do this because the answer has a space before the brackets. We need another point. The y intercept might work.
y = a(0 -1)^2 - 18
Use the point (0,-16)
-16 = a(1) - 18
-16 = a - 18 Add 18 to both sides.
2 = a
So the equation of the quadratic is
y <= 2(x - 1)^2 - 18 <<<<<< answer second section down on your question sheet.
<span>125.6 inches would be the answer. You do 40* 3.14 and you get 125.6, don't forget the units.</span>
Answer:
1668 feet.
Step-by-step explanation:
We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.
If the distance required is x (adj side) we have:
tan 41 = opp/adj
tan 41 = 1450/x
x = 1450 / tan 41
= 1668.03
Answer:
The answer to your question is letter c and d.
Step-by-step explanation:
A. 15 × 9 = 135 and 135 – 75 = 60 This answer is not correct because it is not necessary to multiply the # members by the cost of each tree, the answer is incorrect.
B. 3 × 15 = 45 and 45 + 15 = 60 This answer is incorrect because it's using a number 3 that is not part of the data.
C. 45 ÷ 9 = 5 and 5 × 15 = 75
. This answer is correct, first finds the number of tree bought by each member and after that multiply it by the cost of each tree.
D. 45 × 15 = 675 and 675 ÷ 9 = 75 This answer is correct, first found the total cost and after divide it by the number of members.
If a function is divergent, its value will start to increase or decrease towards infinity or negative infinity respectively. If the function is convergent, its value starts to converge to a single one as iterations increase.
