Answer:
The answer to your question is a) (f°g)(x) = 4x² + 2
b) (f + g)(x) = 4x² + x + 2
c) (f - g)(-3) = -37
Step-by-step explanation:
Data
f(x) = x + 2
g(x) = 4x²
a) Calculate (f°g)(x)
Just sum the function
(f°g)(x) = (4x²) + 2
-Simplification
(f°g)(x) = 4x² + 2
b) (f + g)(x)
(f + g)(x) = x + 2 + 4x²
-Simplification
(f + g)(x) = 4x² + x + 2
c) (f - g)(-3)
-Calculate (f - g)(x)
(f - g)(x) = x + 2 - 4x²
-Simplify
(f - g)(x) = -4x² + x + 2
-Evaluate in (-3)
(f - g)(-3) = -(4)(-3)² + (-3) + 2
-Simplification
(f - g)(-3) = -4(9) - 3 + 2
-Result
(f - g)(-3) = -36 - 3 + 2
(f - g)(-3) = -37
Answer:
The midpoint is (2.5,4.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(4+1)/2 = 5/2 = 2.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(6+3)/2 = 9/2 = 4.5
The midpoint is (2.5,4.5)
Answer:
2 5/8 ounces of juice are left.
Step-by-step explanation:
6 3/8 - 3 6/8 =
- 51/8 - 30/8 (Converted into improper fractions.)
- 51/8 - 30/8 = 21/8
- 21/8 = 2 5/8 (Converted improper fraction into a mixed fraction.)
<span>1. Evaluate (2-2^3)^3-4x(-4)
</span>
<span>
</span>
<span>
2. Compute
-453+(-5.34)=-453-5.34
=-458.34
-56+27.4=-28.6
3. Use <, >, or =
9 > -8
-12 < -3
-4 > -7</span>
Answer:
The number 3 is the stem.
The number 4 is the leaf.
Step-by-step explanation:
The Stem and Leaf Plot is a mathematical table used for the graphical representation of a data set. It involves splitting each data value into a stem (typically the first number, on the left) and a leaf (the last number, on the right).
The stem list is used for grouping data value downwards while the leaf values move rightward from its respective stem values and it's used for showing each data value within a group.
Also, the key of a stem and leaf plot is used as a guide on how to read the data set.
For example, the key for a stem and leaf plot is 3|4. Thus, the number 3 is the "stem" and the number 4 is the "leaf."
