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makvit [3.9K]
4 years ago
14

The function below shows the number of car owners f(t), in thousands, in a city in different years t:

Mathematics
1 answer:
Alenkasestr [34]4 years ago
3 0
The Average Rate of  Change is the change of the function's value to the change in the variable t along some close interval

f(t) = 1.1~t^2 - 2.5t + 1.5\\~\\f(5)=1.1~(5)^2 - 2.5(5) + 1.5=16.5\\~\\~\\f(3)=1.1~(3)^2 - 2.5(3) + 1.5=3.9\\~\\~\\ARC= \frac{f(5)-f(3)}{5-3} = \frac{16.5-3.9}{5-3} =6.3




I hope that helps!


 

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If Bruce has 42 superhero stickers, how many pencils does Alex have?
Ber [7]
Bruce should be glad he has parents to buy him stickers. Unless his last name is Wayne, then maybe Alfred is buying them for him... But what does stickers have to do with pencils? By the way, Alex has 45 pencils.
3 0
4 years ago
Omg please help me im literally dying
Karolina [17]

Answer:

(-2,3)

Step-by-step explanation:

Multiply -3x+4y=18 with 2:

-6x+8y=36

Add -6x+8x=36 and 6x+2y=-6

10y=30

y=3

So y=3 we can replace y with 3 on any of these two equations:

6x+6=-6

Move the 6 to the other side:

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So the solution is

(-2,3)

Hope this helps

6 0
3 years ago
Ex 2.8<br> 3. find the maximum value of y for the curve y=x^5 -3 for -2≤x≤1
harkovskaia [24]
y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\&#10;y''(0)=20\cdot0^3=0

The value of the second derivative for x=0 is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of 5x^4 is always positive for x\in\mathbb{R}\setminus \{0\}. That means at x=0 there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval [-2,1].
The function y is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.

y_{max}=y(1)=1^5-3=-2
4 0
3 years ago
What is the product of 523 and 48
Aleksandr [31]

Answer:

25104

Step-by-step explanation:

PRODUCT=MULTIPLICATION, SO

423 X 48= 25104

6 0
4 years ago
Which of the following correctly sets up the synthetic division for x3 − 4x2 − 3 divided by x + 1?
Scrat [10]

Answer:

x3 − 4x2 − 3 divided by x + 1 = x4−4x3+x−3 over x

------------

Step-by-step explanation:

6 0
3 years ago
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