Hello there,
To write an improper fraction you will have to divide whole number by denominator than add the numerator...
7 * 1 = 7
7 + 4 = 11
The denominator stays the same...
11/7
Answer: 11/7
Hope I helped!!
-Char
Answer:
Option 4.
Step-by-step explanation:
The vertex form of a parabola is
... (1)
where, a is a constant (h,k) is vertex.
The given function is

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).
It is given that the vertex of function g(x) is at (5,2).
Substitute h=5 and k=2 in equation.

g(x) is passes through (3, 6).
.... (2)


Divide both sides by 4.

Substitute a=1 in equation (2).


The function g(x) is
.
Therefor, the correct option is 4.
Answer:
C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Step-by-step explanation:
The center of insribed circle into the triangle is the point where the angle bisectors of the triangle meet.
The center of circumsribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.
Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides, so the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle. Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Answer: Third option.
Step-by-step explanation:
According to the information given in the exercise, you can find an approximation of the the total cost in dollars of raising a child in the United States ( from birth to 17 years) given a household's annual income, with the following equation:

Where "x" represents the household's annual income in dollars.
Therefore, if the annual income is $62,500; you can identify that:

Then, in order to calculat the approximated cost to raise a child in a household with that annual income given in the exercise, you need to substitute that value of "x" into the equation and then you must evaluate in order to find the value of "y".
Through this procedure you get the following result:

Answer:
<u>80 buses</u> will be required for 1120 soldiers.
Step-by-step explanation:
Given:
Number of seats on One side = 12 seats.
Now Given:
five seats are reserved for equipment.
So we can say that;
Number of seats used by soldiers = 
Number of soldiers on Each seat =2
So we will now find number of soldiers on each bus.
number of soldiers on each bus is equal to Number of seats used by soldiers multiplied by Number of soldiers on Each seat.
framing in equation form we get;
number of soldiers on each bus = 
Now we know that;
For 14 soldiers = 1 bus
So 1120 soldiers = Number of buses required for 1120 soldiers.
By Using Unitary method we get;
Number of buses required for 1120 soldiers = 
Hence <u>80 buses</u> will be required for 1120 soldiers.