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
Answer:
Step-by-step explanation:
Change 2/5 to a decimal
2/5 = 0.4
Change 1 2/15 of a fluid ounce to a decimal.
1.133333
Set up your proportion.
0.4 / 1.133333 = x / 5 Cross multiply
0.4*5 = 1.133333*x
2 = 1.133333 x Divide by 1.1333333
2/1.33333 = x
x = 1.5 ounces.
He needs 1.5 ounces of red to make 5 ounces of purple.
Answer:
Equianglular, Equilateral
Step-by-step explanation:
All the sides and the angle are equal and hence the answer here is Equianglular, Equilateral.
Hope it helps you!!
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Answer:
Step-by-step explanation:
Let b represent the number of bags of bird food that he can buy.
Let c represent the number of bags of cat food that he can buy.
Bags of bird food cost $17 each. This means that the total cost of b bags of bird food would be
17 × b = $17b
Bags of cat food costs $6 each. This means that the total cost of c bags of cat food would be
6 × c = $6c
Craig has $102 to but food for his cats and birds.
The inequality to represent this situation would be
17b + 6c ≤ 102
Answer: 4 1/6
Step-by-step explanation: