Hi there! The answer is $0.90
To find the price per unit we must divide the total amount of money by the amount of units sold. So we get the following:
$4.50 / 5 = $0.90
Answer
$30 minutes per hour
$0.5 per minute
Step-by-step explanation:
45/1.5=30
45/90=0.5
Answer:
(√3)/2 -1 ≈ -0.133974596
Step-by-step explanation:
2sin²(30°)tan(60°) -3cos²(60°)sec²(30°)
= 2(1/2)²(√3) -3(1/2)²(2/√3)²
= 2(1/4)√3 -3(1/4)(4/3)
= (√3)/2 -1 ≈ -0.133974596
Answer:
1. (5,-8)
2. (7, -11)
3. 7 lines
4. (2,-8)
5. x = 15
Step-by-step explanation:
1. for translation over y=x you need to switch what is negative and what is positive
2. You add whatever number is said to be added to X and whatever number is said to be added to Y.
3. A regular heptagon has 7 equal sides so it has 7 lines of symmetry.
4. For over the x-axis you make the y negative (or if it is already negative you make it positive) you do the opposite for over the y-axis
5. When you have a mid-segment you take one side, 9 and 6, and you divide 9 by 6. You get 1.5, you then take 1.5 and multiply it by 10, that leaves you with 15
I hope I helped!
Step 1: convert the equation into fhe vertex form
To do you can complete squares:
y = - [x^2 + 4x + 3]
y = - [ (x + 2)^2 - 4 + 3]
y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1
Then the vertex is (-2, 1)
Now you can drasw the vertex
Step 2: Find the roots (zeros)
y = - [ (x + 2)^2 - 1] = 0
(x + 2)^2 - 1 = 0
(x+2)^2 = 1
(x+2) = (+/-) √1
x + 2 = (+/-1)
x = - 2 +/- 1
x = -1 and x = -3
Now you draw the points (-1,0) , (-3,0)
Step 3: find the interception with the y-axis.
That is y value when x = 0
y = - (0)^2 - 4(0) - 3 = -3
Then draw the point (0, -3)
Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.
So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.
