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Katen [24]
3 years ago
10

Given the function g(x) = –x^2+ 4x + 9, determine the average rate of change of

Mathematics
1 answer:
Ghella [55]3 years ago
4 0

Answer:

9

Step-by-step explanation:

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Is y=1/2+2 linear? and how do you know just by looking at the equation?
saul85 [17]

Answer:

No, it is not

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

5 0
2 years ago
You are baking cookies. The recipe calls for 3/4 cup of flour. You want to make 1/2 of a batch. How much flour do you need?
MissTica
3/4<span> / 2</span> 
= 6/8 / 2
= 3/8

You need 3/8 cups of flour
6 0
3 years ago
One Sunday, 120 days before Christmas, Aldsworth store publishes an advertisement saying ‘120 shopping days until Christmas'. Al
Lena [83]

Answer:

(a)18

(b)1089

(c)Sunday

Step-by-step explanation:

The problem presented is an arithmetic sequence where:

  • First Sunday, a=1
  • Common Difference (Every subsequent Sunday), d=7

We want to determine the number of Sundays in the 120 days before Christmas.

(a)In an arithmetic sequence:

\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.

Therefore, Aldsworth advertised 18 times.

(b)Next, we want to determine the sum of the first 18 terms of the sequence

1,8,15,...

\text{Sum of a sequence}, S_n=\frac{n}{2}( 2a+(n-1)d)\\S_{18}=\frac{18}{2}( 2*1+(18-1)*7)\\=9(2+17*7)\\=9(2+119)\\=9*121\\S_{18}=1089

The sum of the numbers of days published in all the advertisements is 1089.

(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.

6 0
3 years ago
2 is less than x, and 8 is greater than or equal to x
Ksivusya [100]

Awnser:

2 < x \leqslant 8

Step-by-step explanation:

2 Is less then x

x is less then or equal to 8

3 0
3 years ago
Find the product of (2x)^2
noname [10]
The answer to the question is 4
4 0
3 years ago
Read 2 more answers
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