Answer:
see explanation
Step-by-step explanation:
The average rate of change over the closed interval [ a, b ] is
here [ a, b ] = [ 0, 8 ]
f(b) = f(8) = 
= 
= 
f(a) = f(0) = 
= 
f(b) - f(a) = - = 
average rate of change = 
= 
Answer:
Measure of angle M = 41°
Step-by-step explanation:
From the figure attached,
NM ≅ NO [Given]
Therefore, ∠O ≅ ∠M [Opposite angle of the equal sides]
By triangle sum theorem,
m∠O + m∠N + m∠M = 180°
m∠O + m∠N + m∠O = 180° [Since, ∠M ≅ ∠O]
By substituting the values of the given angles,
(4y - 15)° + (7y)° + (4y - 15)° = 180°
(15y - 30) = 180
15y = 210
y = 14
Therefore, m∠M = (4y - 15)°
= 4(14) - 15
= 56 - 15
= 41°
Answer:
the first one
Step-by-step explanation:
m=10 n=1
10+1 =11
10 x 1=10
Answer:
Step-by-step explanation:
<u>We can describe it as a linear function with points of:</u>
<u>Slope intercept formula:</u>
<u>Finding the slope using the two given points:</u>
- m = (4600-2000)/(15-5) = 2600/10 = 260
<u>Finding b:</u>
<u>Formula obtained:</u>
<u>For x = 20, value of y is:</u>
- y = 260*20 + 700 = 5200+700 = $5900
Using a proportional relationship, the ordered pair that is a solution if x represents the number of days that a library book is late and y represents the total fee is:
(3, 0.9).
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, each day, the free is increased by $0.3, hence the constant is k = 0.3 and the function is:
y = 0.3x.
Then after three days, the total fee is:
y = 0.3 x 3 = 0.9.
And the ordered pair is:
(3, 0.9).
More can be learned about proportional relationships at brainly.com/question/28291848
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