<h3>
Answers:</h3><h3>
f(4) = 12</h3><h3>
f(5) = 13</h3>
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Explanation:
This is a piecewise function as it is composed of two pieces.
The equation for f(x) depends on what x is. Specifically whether it is even or odd.
If x is even, then f(x) = x^2-4. If x is odd, then f(x) = 3x-2
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f(4) means f(x) when x = 4. We have an even number input for x, so we'll go with f(x) = x^2-4
f(x) = x^2 - 4
f(4) = 4^2 - 4
f(4) = 16 - 4
f(4) = 12
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When x = 5, x is now odd, so use f(x) = 3x-2
f(x) = 3x-2
f(5) = 3(5) - 2
f(5) = 15 - 2
f(5) = 13
Answer:
Option B is right
Step-by-step explanation:
We have in a triangle there are some properties inherent.
One is the perpendicular bisectors of all sides are concurrent.
These three concur at a point called the circumcentre of the triangle.
When we draw perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistance from A and B.
When we take the point of intersection of perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C
In short this is equidistant from all 3 vertices and hence is centre of circumcicle of triangle ABC
Answer:
(-3, -2)
Step-by-step explanation:
The transformation (x, y) ⇒ (y, -x) represents a rotation of 270° CCW about the origin (or 90° CW).
This transformation maps the point Q(2, -3) to Q'(-3, -2).
Answer:
The number of servings which can be made by using gallon of milk are <u>128</u>.
Step-by-step explanation:
Given:
A recipe uses 1¼ cups of milk to make 10 servings of pudding.
Now, to find the servings which can be made by using gallon of milk.
Let the number of servings which can be made by using gallon of milk be 
.
So, we will convert the quantity from fraction into decimal first:
1¼ cups = 
Thus, 10 servings need 1.25 cups.
Then, by using proportion we get the quantity of servings:
(1 Gallon = 16 cups.)
⇒ 
Multiplying both sides by 16 we get:
⇒ 
⇒ 
⇒ 
Therefore, the number of servings which can be made by using gallon of milk are 128.
