<span>this is pretty hard but here is your answer
</span>
y = x^2 - 10x + 25 - 25
<span> y = (x-5)^2 - 25 </span>
<span> y+25 = (x-5)^2 </span>
<span> x-5 = +/-sqrt(y+25) </span>
<span> And you get TWO
inverses: </span>
<span> x = 5 + sqrt(y+25),
for x>=5 </span>
<span> x = 5 - sqrt(y+25),
for x<=5</span>
convert yards to feet and minutes to seconds
1yard=3ft
16.8yards times 3ft/1yd=50.4ft
1minute=60 seconds
12minutes times 60seconds/1min=720seconds
feet per second=50.4ft/720sec=0.07ft/sec
answer is 0.07ft/sec
Y=15x would be the correct graph though if there's more info it might not be
E= Emma's age
emma's sister's age= e+9 (emma's age plus 9)
e+9=49
(isolate your variable)
e+9-9=49-9
e=40
Emma is 40 years old
To check: Emma's sister is 9 years older right? take emmas age 40 plus the nine more years and you still get the total of 49! hope that helps good luck
Answer: 0.05
Step-by-step explanation:
Let M = Event of getting an A in Marketing class.
S = Event of getting an A in Spanish class,
i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45
Required probability = P(neither M nor S)
= P(M'∩S')
= P(M∪S)' [∵P(A'∩B')=P(A∪B)']
=1- P(M∪S) [∵P(A')=1-P(A)]
= 1- (P(M)+P(S)- P(M∩S)) [∵P(A∪B)=P(A)+P(B)-P(A∩B)]
= 1- (0.80+0.60-0.45)
= 1- 0.95
= 0.05
hence, the probability that Helen does not get an A in either class= 0.05
