Answer:
6.
5.
4.
3.
2.
1.
Step-by-step explanation:
In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
I am joyous to assist you anytime.
Answer: choice A) -6
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Work Shown:
Plug in x = 1
f(x) = 17-x^2
f(1) = 17-1^2
f(1) = 17-1
f(1) = 16
Then plug in x = 5
f(x) = 17-x^2
f(5) = 17-5^2
f(5) = 17-25
f(5) = -8
So the average rate of change (AROC) from x = 1 to x = 5 is...
AROC = (f(b)-f(a))/(b-a)
AROC = (f(5)-f(1))/(5-1)
AROC = (-8-16)/(5-1)
AROC = (-24)/(4)
AROC = -6
That's why the answer is choice A) -6
Answer:
2k
Step-by-step explanation:
You just add the x’s up and move the 2 over to make x the subject.
Answer:
0.31
Step-by-step explanation:
% conservatives = 30 ; voted = 65%
% Liberals = 50 ; voted = 82%
% Independents = 20 ; voted = 50%
If a person in the city is selected at random and it is learned that she did not vote in the last election, what is the probability that she is a liberal
Number that did not vote :
% conservative × (1 - voted) + % Liberals × (1 - voted) + % conservatives × ( 1- voted)
(30% × 0.35) + (50% × 0.18) + (20% × 0.5)
(0.3 × 0.35) + (0.5 × 0.18) + (0.2 × 0.5)
= 0.105 + 0.09 + 0.1 = 0.295
Hence, probability that a person chosen at random did not vote and she's a liberal :
P = liberal who did not vote / total who did not vote
P = (0.5 × 0.18) / 0.295
P = 0.09 / 0.295
= 0.30508
= 0.31