Using the vertex of the equation, it is found that the correct option regarding the minimum number is given by:
C. n = 2(t - 2)² + 7.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Considering a standard equation, given by:
y = ax² + bx + c.
The vertex is given by:
.
If a is positive, the vertex is a minimum value.
In this problem, the equation is given by:
n = 2t² - 8t + 15.
The coefficients are: a = 2, b = -8, c = 15.
Hence:
.
The minimum is 2 hours after 10 a.m., hence 12 p.m, and the function is:
C. n = 2(t - 2)² + 7.
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The answer is A 10/27 is 0.370370..
The distance from Humood's house to the school is 500m
<h3>How to determine the distance from Humood's house to the school?</h3>
The given parameters are:
Humood's house is (-5,7)
The school is (3,1)
The distance between both points is calculated using
Substitute the known values in the above equation
Evaluate
d = 10
Each unit in the graph is 50m.
So, we have
Distance =10 * 50m
Evaluate the product
Distance = 500m
Hence, the distance from Humood's house to the school is 500m
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A.
-18 doesnt belong to irrational
Answer:
x = 3
Step-by-step explanation:
Once again we want to use the relationship stated earlier
Where A * B = C * D
Once again imagine that the segments in the given problem have letters
A = x
B = 12
C = x + 1
D = 9
Now we create an equation using the relationship
12 * x = 9(x+1)
now we solve using basic algebra
step 1 distribute the 9 to the x and the 1
9 * x = 9x
9 * 1 = 9
now we have 12x = 9x + 9
step 2 subtract 9x from each side
12x - 9x = 3x
9x - 9x cancels out
now we have 3x = 9
step 3 divide each side by 3
3x/3=x
9/3=3
we're left with x = 3
