Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Hello.
e is a mathematical constant, and it's like pi, it's irrational. It's approximately equal to 2.71828....
So,
It's approximately equal to 4.5 which is choice
2.
Answer:
SSS
Step-by-step explanation:
Two triangles are said to be congruent if all their three sides are equal and all of their three angles are equal. There are 5 ways of determining congruent triangle which are:
- SSS (side, side, side): This is when the two triangles have all three sides equal to each other.
- SAS (side, angle, side): This is when the two triangles have 2 equal sides and one included angle of both triangles are equal.
- ASA (angle, side, angle): This is when the two triangles have 2 equal angles and one included side of both triangles are equal.
- AAS (angle, angle, side): This is when the two triangles have 2 equal angles and one non included side of both triangles are equal.
- HL (hypotenuse, leg): The hypotenuse is the longest leg of a right angled triangle. If two triangles have equal hypotenuse and one equal leg, they are congruent.
Triangle ABC and triangle BCD are congruent because:
AB = CD, AC = BD and both triangles share the same side BC. That is they have three equal sides (SSS)
She has 10 liters left. Find 4/9 of 18 by multiplying 4/9 and 18. 4/9 of 18 is 8, so she served 8 of the 18, leaving 10 liters.
Answer:
12 units
Step-by-step explanation:
The side that is on the opposite side of the triangle as angle C is the side labeled as 12 units in length