Answer:
The depth of the lake last year was 52 feet
Step-by-step explanation:
Given as :
This year depth of lake = 39 feet
Let the last year depth of lake = x feet
Now,
According to question :
The depth this year is 25% less than that of last year
I.e 39 feet = x - 25% of x
Or, 39 feet = 
or, x = 
∴ x = 52 feet
Hence The depth of the lake last year was 52 feet Answer
Answer:
1/3x5 the Answer is b
Step-by-step explanation:
Answer:
Answer 7
Step-by-step explanation:
This depends on setting up a proportion
5:45 :: 3: 3 + 2x + 10
You can reduce 5 / 45
5/45 = 1/9
1:9 :: 3:3 + 2x + 10
1:9 :: 3: 2x + 13
1/9 = 3/(2x + 13) Cross Multiply
2x + 13 = 3*9
2x + 13 = 27 Subtract 13
2x + 13 - 13 = 27 - 13
2x = 14 Divide by 2
2x/2 = 14/2 Divide
x = 7
Answer:
- y = -6
- x=2 and x=6
- Greatest value of y is y=2 and it occurs when x = 4
- For x between x = 2 and x = 6, y > 0
Step-by-step explanation:
<u>Definition</u>
- A parabola is a curve where any point is at an equal distance from:
a fixed point (the focus ), and
a fixed straight line (the directrix )
From the graph we can see that this is indeed so. We can even calculate the parabola equation from the given graph but since that is not required, I am not illustrating the steps here to do that
- The y-intercept is the value of y where the parabola cuts the y axis and from the graph we see that this occurs at y = -6
- The x-intercepts are the x-values where the parabola crosses the x-axis and we can see that this occurs at x = 2 and x = 6
- The greatest value of y occurs at the vertex of the parabola and we see that the vertex is at (4,2) ie greatest value of y is at y = 2 and occurs at x=4
- Between x =2 and x = 6 we see that the y values greater than 0 ie y > 0
(Note on last question: If you exclude these two points then y > 0 between x=2 and x=6.Specifically it is 0 at x =2 and x=6 and > 0. So if you include these two points then y ≥ 0. I have taken it as excluding the two points, x = 2 and x =6)
