1. ∠1 is complementary to ∠2. 1. givem
2. m∠1 + m∠2. 2. Definition of complementary
3.BD bisects ∠ADC. 3. Given
4. 4. Definition of bisect
5. m∠2 = m∠3 5.
6. m∠1 + m∠3 = 90° 6. sunsitution
7. 7.
Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:
a) -4.
b) P = 25.
c) 2.
d) P = 5.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The demand is given by:
D = 100 - 4P.
Hence the slope is of -4. The demand is equals to zero when:
100 - 4P = 0 -> P = 25.
The supply is given by:
QS = -10 + 2P.
Hence the slope is of 2. The supply is equals to zero when:
-10 + 2P = 0 -> P = 5.
More can be learned about linear function concepts at brainly.com/question/24808124
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Answer:
a) 1/2
b) 6/100
c)1/4
I'll explain how I got these answers later.
Answer:
independent quantitative.
Step-by-step explanation:
An indepentent variable in an investigation, is the variable that will be changed in order to know how its variation affects the dependent variable.
In this case, the dependent variable is the test scores since Dr Washington will study there is the numeber of hours of study affects the grade the students obtain.
Therefore, the hours of study are the independent variable.
It is also a quantitative variable since it can be counted.
Volume = s*s*s = s^3
A cube have equal sides, the length is s the width is s and the height is s.
216 = x^3
x = cuberoot of 216
x = 6 units