Answer:
- vertex: (-5/8, 7/16)
- axis of symmetry: x = -5/8
Step-by-step explanation:
For quadratic ax²+bx+c, the axis of symmetry is located at x=-b/(2a).
Here, we have a=4, b=5, so the axis of symmetry is ...
... x = -5/(2·4) = -5/8
_____
The vertex y-value will be f(-5/8).
... f(-5/8) = (4·(-5/8) +5)·(-5/8) +2 = (5/2)·(-5/8) +2 = -25/16 +32/16
... f(-5/8) = 7/16
_____
The axis of symmetry is x = -5/8; the vertex is (-5/8, 7/16).
Since x is the length, then x+7 has to be the width.
The area of a rectangle can be found via the formula :
A = length * width
So if we replace the area with the given number (170) and the length, and width, with what we assumed, we get..
170 = x * (x+7)
[which is.. ]
170 = x^2 +7x
0 = x^2 +7x - 170
And that is the answer.
<span>The sash needs to be 184.912 cm. to equal 72.8 in.</span>
Answer:
6.34
Step-by-step explanation:
when rounding 5 or more round up 4 or less round down. hope it helps.
Answer:
(4.5, 4.7)
Step-by-step explanation:
Hi!
Lets call X to the consumption of milk per week among males over age 32. X has a normal distribution with mean μ and standard deviation σ.
When you know the population standard deviation σ of X , and the sample mean is 
, the variable q has distribution N(0,1):
Then you have:
This defines a C - level confidence interval. For each C the value of k is well known. In this case C = 0.98, then k = 2.326
Then the confidence interval is:
