Answer:
B. g(x)=(x+7)^2-3
Step-by-step explanation:
Vertex form is F(x)= a(x-h)^2+k
a is the reflection
h and k are the vertex (x,y) = (h,k)
in this case there is no shrink or stretch (a)
if it is translating left or right it is "h". In this case it is translated left so its -7. However if you look at vertex form it is "x-h" so -7-7= +7
If it translating up or down it is "K". In this case it is translated down so its -3.
If it was translated up or right then its positive. If it was translated down or left its negative.
After you figure out what h and k are then you just plug it in. h=-7, k=-3
so the answer in vertex form is, g(x)=(x+7)^2-3
22% since 100-78 is 22 so that is the percentage of numbers between 78 and 100
Answer: 1249 hrs
Step-by-step explanation:
Sophia walked for 12 km to get to her aunt's house.
She did this at a speed of 5km/h which means that the time taken was:
Time = Distance / Speed
= 12 / 5
= 2.4 hours
2.4 in hours:
= 0.4 * 60 minutes
= 24 minutes
= 2 hours 24 minutes
If she left at 1025, she would arrive at:
= 1025 + 2 hours 24
= 1249 hrs
Answer:
98.1% chance of being accepted
Step-by-step explanation:
Given:
sample size,n=56
acceptance condition= at most 2 batteries do not meet specifications
shipment size=7000
battery percentage in shipment that do not meet specification= 1%
Applying binomial distribution
<h3>P(x)=∑ᵇₐ=₀ (n!/a!(n-a)!)p^a (1-p)^(n-a)</h3>
In this formula, a is the acceptable number of defectives;
n is the sample size;
p is the fraction of defectives in the population.
Now putting the value
a= 2
n=56
p=0.01
=0.56960+0.32219+0.08949
After summation, we get 0.981 i.e. a 98.1% chance of being accepted. As this is such a high chance, we can expect many of the shipments like this to be accepted!
Answer:
x³+3x²+4x+12
Step-by-step explanation:
you are going to write both equations and distribute. if there are like terms, combine them and then put it order.
(x + 3) × (x² + 4)
x³ + 4x + 3x² + 12
when putting in order, you want the highest power to the left and then the lowest power to the right.
so
x³+3x²+4x+12
