Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.
Answer:
Linear Pair postulate; triangle angle sum conjecture; subtraction property of equality.
Step-by-step explanation:
The Linear Pair postulate states that if two angles form a linear pair, then the sum of their measures is 180°. This is the reason for the first statement.
The Triangle Angle Sum conjecture states that the sum of the measures of the angles of a triangle is 180°. This is the reason for the second statement.
In order to isolate m∠ZAB, we must subtract m∠CAB from each side. The subtraction property of equality is what allows us to do this.
Answer:
100% increase
Step-by-step explanation:
well first let's find out how much a 100% increase would be. 6,540 + 6,540(when trying to find a 100% change add the number to itself) = 13,080. that gets the answer, so there is no need to continue.
Answer: A
Step-by-step explanation:
Take the point (0, -6). The floor of 0 is 0, so normally it would be (0, 0). However, since the y coordinate is -6, not 0, we know it was translated down 6 units. Therefore, the answer is A.
Answer:
65.5 m
Step-by-step explanation:
Step 1. Find the width of the rectangle.
The formula for the area of a rectangle is
A = lw
Data:
A = 265.5 m²
l = 18 m
Calculation:
265.5 = 18w
w = 265.5/18 = 14.75 m
Step 2. Calculate the perimeter
The perimeter (P) of a rectangle is the sum of the lengths of its sides.
P = 2(l + w) = 2(18 + 14.75) = 2 × 32.75 = 65.5 m
The perimeter of the rectangle is 65.5 m.