Answer:
and 
.
Step-by-step explanation:
Equation:
Solution:
Set factors equal to zero,that is:
Solving for equation 1:
Solving for equation 2:
Hence,the solutions to the quadratic equation in factored form is and .
Good luck on your assignment!
Answer:
h(d) = (17/3249)(-d² +114d)
Step-by-step explanation:
For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...
f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)
We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...
f(x) = 17(1 -((x-57)/57)²) = (17/3249)(-x²+114x)
Using the appropriate function name and variable, we have ...
h(d) = (17/3249)(-d² +114d)
The linear function that describes the total cost of a tiny house, based on the number of square feet A is given by:
C = 175A + 1000.
<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.
In this problem:
- The house has a fixed cost of $1,000 for the factory equipment, hence the y-intercept is of b = 1000.
- The variable cost is of $175 per square foot, hence the slope is of a = 175.
Then, the equation is given as follows:
C = 175A + 1000.
More can be learned about linear functions at brainly.com/question/24808124
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Answer: 0.4x + 0.1
Step-by-step explanation: Distribution.
0.5(x+0.1)-0.1(x-0.5)
0.5 times x = 0.5x
0.5 times 0.1 = 0.05
First step: 0.5x + 0.05
Distribute next part
-0.1 times x= -0.1x
-0.1 times -0.5 = 0.05
-0.1x + 0.05
Put together: 0.5x + 0.05 -0.1x + 0.05
Combine like terms:
0.5x -0.1x = 0.4x
0.05 + 0.05 = .1
Answer: 0.4x + 0.1
The required equation of line is y=-6x-57.
Step-by-step explanation:
The point slope form of a line is
y-y_1=m(x-x_1)y−y
1
=m(x−x
1
)
Where m is slope of the line.
It is given that a line that passes through (–9, –3) and has a slope of –6.
Substitute m=-6, x₁=-9 and y₁=-3 in the above equation.
y-(-3)=-6(x-(-9))y−(−3)=−6(x−(−9))
y+3=-6x-54y+3=−6x−54
Subtract 3 from both the sides.
y=-6x-54-3y=−6x−54−3
y=-6x-57y=−6x−57
Therefore the required equation of line is y=-6x-57.
