Step-by-step explanation:
f(x)=2x+1 and g(x)=x²-7
(f/g)(x) = (2x+1)/(x²-7)
They are going 279 miles at a rate of 62 mph.
time = distance / speed
time = 279/62
time = 4.5 hrs...or (4 hrs 30 minutes)
plus they plan on a 45 minute lunch...
4 hrs and 30 minutes + 45 minutes = 4 hrs and 75 minutes =
5 hrs 15 minutes. So they need 5 hrs and 15 minutes to get there...and they want to be there by 3.
So they will have to leave at : 9:45 <==
Y + 18 = a(x + 3)^2
<span>0 + 18 = a(0 + 3)^2 </span>
<span>18 = 9a </span>
<span>2 = a
</span>
<span>y = 2(x + 3)^2 - 18 </span>
<span>0 = 2(x + 3)^2 - 18 </span>
<span>18 = 2(x + 3)^2 </span>
<span>9 = (x + 3)^2 </span>
<span>± 3 = x + 3 </span>
<span>-3 ± 3 = x </span>
<span>x = 0 or -6
</span>
<span>(0, 0) and (-6, 0)</span>
Answer:
See below
Step-by-step explanation:
The score increase was 35 points. They claimed an increase of at least 50 points. For a significance level of 5%, the z-score for the situation needs to be at smaller than -1.645. For a significance level of 1%, the z-score needs to be smaller than -2.325
The z score for our situation: z = (385 - 350)/50 = 0.7
The average score of 385 of Tutor O-Rama scores is not significantly different from the average of the other students SAT scores. The evidence doesn't support their claim of being effective tutoring.
Answer:
80
Step-by-step explanation:
10+4+2+4=20 and 20×4 numbers=80