Answer:
For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)
(f o g)(x) = f(g(x))
= 2 (g(x)) + 3
= 2( -x 2 + 1 ) + 3
= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)
Step-by-step explanation:
First, subtract 2x from both sides of the equation to get 8y = -2x - 32. Then, divide the equation by 8, to get y = -x/4 - 4. Your y-intercept will be -4, and it's slope will be -1/4.
I'm not sure what you mean by difference, so I am guessing you meant to write "distance". If this is not the case, then feel free to report me. Anyway, to find the distance between two points you would use the distance formula.
Distance Formula:
.
Let's substitute our point coordinates into the formula. We'll substitute -1 and 6 for x_2 and x_1, and 14 and 16 for y_2 and y_1. After substituting, your formula will now look like:
.

Subtract the coordinates.

Square the subtracted coordinates.

Add 49 and 4.

Square root 53 and round the answer to the nearest tenth.
7.28 becomes 7.3.
7.3 units is the distance between points M and Z.
Answer:
Take L.H.S and the R.H.S
Step-by-step explanation:
Taking L.H.S
-25*(15+(-5)
-25*(15-5)
-25*(10)
-250
Taking R.H.S
(-25*15)+(-25*(-5)
-375+125
-250
Verified
Answer:
28 inch
Step-by-step explanation:
The length of all four sides of square is equal.
The formula used for finding the area of square is:
Area = (Length) × (Length)
Thus, the Area of square whose length is 2√7 is:
Area = 2√7 × 2√7
⇒ Area = 4 × 7 = 28 inch.