Answer:
Option B
Step-by-step explanation:
Function 'g' is,
g(x) = x²
Since, leading coefficient of this function is positive, parabola is opening upwards.
From the graph attached,
Function 'f' is opening upwards leading coefficient of the function will be positive.
Since, the graph of function 'f' is vertically stretched, equation will be in the form of f(x) = kx²
Here, k > 1
Since, function 'f' is formed by shifting the graph of function 'g' by 1 unit upwards,
f(x) = g(x) + 1
Combining all these properties, equation of the function 'f' should be,
f(x) = 4x² + 1
Option B will be the correct option.
Your bank should furnish enough money to live on , in an emergency , for six months.
Hope this helps!
1. Consider a triangle with sides a, b and c.
2. a, b and c can be sides of a triangle only if each of these conditions hold:
i) a+b>c
ii) b+c>a
and iii)a+c>b
3. So the only condition for 3 numbers to be the side lengths of a triangle is that the sum of any 2 of them must be larger than the third number
4. This is called the "triangle inequality".
Answer:
D
Step-by-step explanation:
The definition a triangle is a shape with three angles and three sides. An example of something in the shape of a triangle is a piece of pizza.
From the given, we can say that the shorter door covers that amount with 2/5 of it overlapping the large door. So 3/5 of it is 36 inches long. Setting up a proportion: 3/5 = 36/x
3x = 180
x = 60 So from this, the shorter door is 60 inches long. The longer door is 60 inches plus 1/2 of the original overlap. Original overlap is calculated by = 60 - 36 = 24 So the longer door is calculated as: (60 + 12) 72 inches. So the width of the cabinet is the longer door + the amount it doesn't cover. So computing for the width will give us: 72 + 36 = 108 inches
