The true statement about this function which models the given situation is: A. the function is linear and is growing by equal differences over equal intervals.
<h3>What is a
linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
By critically observing the graph which models the given situation, we can infer and logically deduce that the true statement about this function is that the function is linear and is growing by equal differences over equal intervals.
Read more on linear function here: brainly.com/question/6978079
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Then 2 is greater than 3 (>)
A+b=-7
ab=-15
a=-7-b
b(-7-b)=-15
a=-7-b
-b^2-7b+15=0
a=-7-b
b^2+7b-15=0
a=-7-b
b=(-7±sqrt(109))/2
1)
a=-7-b
b=(-7+sqrt(109))/2
b=(-7+sqrt(109))/2
a=-7+3.5-sqrt(109)/2
b=(-7+sqrt(109))/2
a=-3.5-sqrt(109)/2
2)
a=-7-b
b=(-7-sqrt(109))/2
b=(-7-sqrt(109))/2
a=-7+3.5+sqrt(109)/2
b=(-7-sqrt(109))/2
a=-3.5+sqrt(109)/2
Answer:
-14.4, -6.8, 23/4, -1.9, 0, 5.4
Step-by-step explanation
lowest to highest
The answer is B. (15,18)
Solution:
First, let's set the variables first.
X = dollars per hour to clean the floor
Y = dollars per hour to clean the rest of the house
For the first statement, "<span>2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $84"
We can put it into an equation.
2X + 3Y = 84 </span>⇒ equation 1
For the first statement, "<span>1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $87'
X + 4Y = 87 </span>⇒ equation 2
Multiply first equation 2 by 2 to make the coefficient of both equations 1 and 2 the same.
Using elimination method in solving for x and y,
(equation 1) 2X + 3Y = 84
(equation 2) 2(X + 4Y) = 87
2X + 8Y = 174 ⇒ equation 3
Next, subtract equation 3 from equation 1.
2X + 3Y = 84
- (2X + 8Y = 174)
-------------------------
- 5Y = -90
Y = 18
Find X when Y = 18
@ equation 1 : 2X + 3Y = 84
2X + 3(18) = 84
2X + 54 = 84
2X = 84 - 54
2X = 30
X = 15
The answer is in ordered pairs of cleaning the floors and to clean the rest of the house. So, in the form (X,Y).
Answer: (15,18)
