Answer:
(1.25, - 5 )
Step-by-step explanation:
Given the 2 equations
- 4x + 3y = - 20 → (1)
4x + 2y = - 5 → (2)
Adding the 2 equations term by term will eliminate the x- term
5y = - 25 ( divide both sides by 5 )
y = - 5
Substitute y = - 5 into either of the 2 equations and solve for x
Substituting into (2)
4x + 2(- 5) = - 5, that is
4x - 10 = - 5 ( add 10 to both sides )
4x = 5 ( divide both sides by 4 )
x = 
= 1.25
Solution is (1.25, - 5 )
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 10, 10 ], thus
f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208
f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus
average rate of change = 
= 
= 9
Answer:
Step-by-step explanation:
A” (-2,2)
B” (-1,-2)
C” (-4,-4)
Answer: 2
Step-by-step explanation:
The slope intercept form states that y=mx+b
M represents the slope.
The charge per unit of electricity is #415
The formula for E in terms of N is E = 375 + 40N
<h3>What is variation?</h3>
Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.
Analysis:
E = K + CN
where K and C are constants
When E = 3655, N = 82 and when E = 2055, N = 42
3655 = K + 82C ---------------1
2055 = K + 42C----------------2
subtract equation 2 from 1
40C = 1600
C = 40
substitute C in equation 1
3655 = K + 82(40)
3655 = K + 3280
K = 3655 - 3280 = 375
charge per unit is N = 1
E = 375 + 40(1) = #415
Formula for E in terms of N is E = 375 + 40N
In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N
Learn more about Variation: brainly.com/question/6499629
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