Answer:

Step-by-step explanation:

This is written in the standard form of a quadratic function:

where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:

where:
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

Using your original equation, identify the a, b, and c terms:

Insert the known values into the equation:

Simplify. Two negatives make a positive:

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

Simplify using PEMDAS:

The value of y is -6 (3,-6). Insert these values into the vertex form:

Insert the value of a and simplify:

:Done
Step-by-step explanation:
3cm on map = 45 km
1 cm on map = Xkm
Xkm = 45 / 3
Xkm = 15km
Therefore scale = 1:15000
150 is the amount of interest earned for one year because the formula of PRT is, in this case 5000 times 0.03 times one which gets you the answer of 150.
The 2 lines intersect, and by definition it will create equal opposite angles. Since we know that the angle created is 125 degrees, then the angle on the opposite side also must equal 125 degrees. But wait, they broke up the angle into 2 angles made up of a 64 degree angle and an X degree angle. These 2 angles must add up to 125 degrees.
x + 64 = 125
x = 125 - 64
x = 61 degrees
Answer:
1 4/5 or 1.8 pints are white
Step-by-step explanation:
1/4 of 7 1/5 = 1/4 x 36/5 = 36/20 or 9/5, which is 1 4/5