Answer:
See below
Step-by-step explanation:
Distance = rate * time
= 65 m/hr * 2 1/4 hr = 146.25 miles
rate = distance / time
for Declan : rate = 146.25 miles / (2 hrs + 35/60 min) = 56.61 mph
The 3 consecutive numbers are 88, 89, and 90. So 90 is the answer.
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
<h2>Common ratio = -1/2</h2>
Step-by-step explanation:
term of a Geometric progression is given as 
. The first term is given as 
.
Any general Geometric progression can be represented using the series 
.
The first term in such a GP is given by 
, common ratio by 
, and the 
term is given by 
.
In the given GP, 
∴ Common ratio is 
.
Answer:
ratio of hours lisa works to hours lisa sleeps= 3:8
Step-by-step explanation:
lisa goes to school for 7 hours per day lisa works 3 hours per day
Lisa sleeps 8 hours per day.
For the ratio of hours lisa works to hours lisa sleeps
ratio of hours lisa works to hours lisa sleeps= hours Lisa works/hours Lisa sleeps
ratio of hours lisa works to hours lisa sleeps= 3/8
ratio of hours lisa works to hours lisa sleeps= 3:8
