Answer:
(- 2, 9 )
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
y = - x² - 4x + 5 ← is in standard form
with a = - 1 and b = - 4, thus
= - = - 2
Substitute x = - 2 into equation for corresponding y- coordinate
y = - (- 2)² - 4(- 2) + 5 = - 4 + 8 + 5 = 9
vertex = (- 2, 9 )
Answer:
Volume of the shaded space = 4480.0 yd³
Step-by-step explanation:
Volume of the shaded space = Volume of cuboid - Volume of Pyramid placed inside
Volume of cuboid = Length × Width × Height
= 28 × 12 × 20
= 6720 yd³
Volume of pyramid =
=
= 2240 yd³
Volume of the shaded space = 6720 - 2240
= 4480.0 yd³
Answer:
2.33
Step-by-step explanation:
We shall use the z distribution because we know the population standard deviation.
The margin of error formula is given by:
The z-value for 98% confidence interval is 2.326.
The sample size is n=25.
The population standard deviation is is
We substitute the values into the formula to get:
Evaluate square root:
Simplify:
Answer:
1. e
2. d
3. b
4. c
Step-by-step explanation:
Hope This Helps!
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A-Y=5 less than twice X
B- (2,5), (4,4), (6,3), (8,2)
C- 5/2X-4
D- 3/2X-1
graph each answer choice and look at the slope of the line rise/run
the equation for answer choice A
is Y=5-(X•2)
the equation for answer choice B is
Y=-1/2X+6
the equation for C is Y=5/2x-4
and the equation for D is Y= 3/2X-1
the slope of A is -2/1
the slope for B is -1/2
the slope for C is 5/2
the slope for D is 3/2
the answer with the greatest slope is
5/2 the answer is C