Step-by-step explanation:
Decimals can always be put over 1, as they're part of a whole number.
<u>Multiply both numerator and denominator by 100:</u>
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The cross section of the satellite dish is an illustration of a quadratic function
The quadratic function that models the cross-section is y = 1/6(x^2 - 9)
<h3>How to determie the equation of the cross-section?</h3>
The given parameters are:
Width = 6 feet
Depth = 1.5 feet
Express the width the sum of two equal numbers
Width = 3 + 3
The above means that, the equation of the cross section passes through the x-axis at:
x = -3 and 3
So, we have:
y = a(x - 3) * (x + 3)
Express as the difference of two squares
y = a(x^2 - 9)
The depth is 1.5.
This is represented as: (x,y) =(0,-1.5)
So, we have:
-1.5 = a(0^2 - 9)
Evaluate the exponent
-1.5 = -9a
Divide both sides by -9
a = 1/6
Substitute 1/6 for a in y = a(x^2 - 9)
y = 1/6(x^2 - 9)
Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)
Read more about quadratic functions at:
brainly.com/question/1497716
Answer:
-15
Step-by-step explanation:
-24 + (1-4)^2 (solve parentheses first)
= -24 + (-3)^2 (solve exponent)
= -24 + 9
= -15
Answer:
it will take her 6 weeks
Step-by-step explanation:
150*.2=30
180/30=6
Answer:
c = 4
Step-by-step explanation:
Simplifying
3c + 6 = 18
Reorder the terms:
6 + 3c = 18
Solving
6 + 3c = 18
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 3c = 18 + -6
Combine like terms: 6 + -6 = 0
0 + 3c = 18 + -6
3c = 18 + -6
Combine like terms: 18 + -6 = 12
3c = 12
Divide each side by '3'.
c = 4
Simplifying
c = 4
