<h3>
Answer:</h3>
A. 3x² +6
<h3>
Explanation:</h3>
(f-g)(x) = f(x) -g(x) = (4x²+1) -(x²-5) . . . . . substitute the function definitions
... = 4x² +1 -x² +5 . . . . . . . . . . . eliminate parentheses
... = (4-1)x² +(1+5) . . . . . . . . . . . collect like terms
... = 3x² +6
Could you send a picture of the question
Answer:
a) 35, b) 25, c) 60
Step-by-step explanation:
The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.
Number of boys: b
Number of girls: b + 10
Ratio of girls:boys is 7:5, so

"Cross multiply" to get

There are 25 boys. There are 10 more girls, so the number of girls is 35, and the total number of students is 60.
That's a packed classroom!
A function assigns the values. The graph can be plotted as shown below.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given the function, g(x) = -3(1/2)ˣ, therefore, the value of g(x) can be written as,
g(x) = -3(1/2)ˣ
g(-2) = -3(1/2)² = -0.75
g(-1) = -3(1/2)¹ = -1.5
g(0) = -3(1/2)⁰ = -3
g(1) = -3(1/2)¹ = -1.5
Hence, the graph can be plotted as shown below.
Learn more about Function:
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1 = 51
2= 61
3= 29
Step-by-step explanation:
1) 61+68= 129
180-129= 51
2) 61 is across it so they have the same number
3) 61 +90= 151
180-151= 29