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andreyandreev [35.5K]
3 years ago
5

Solve using the completing the square method

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
8 0

Answer:

answer is A and C

Step-by-step explanation:

here you go

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What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3
Rufina [12.5K]

Answer:

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1}  =\frac{f(x_2)-f(x_1)}{x_2-x_1}

So, the average rate of change of:

f(x)=-x^2+3x+6

Over the interval -3

Is:

f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Therefore, the average rate of change of this function over that interval is 3.

3 0
3 years ago
What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down.
levacccp [35]

Answer:

(4,-2.5)

Step-by-step explanation:

because you move to the right it is a positive x-axis point and since you are moving down it is a negative y- axis point

6 0
2 years ago
Read 2 more answers
Riley ordered a snow cone with 4 flavors.
frosja888 [35]
Riley has 4 flavors
caleb had 2 flavors
4-2 equals 2
6 0
3 years ago
Read 2 more answers
how many 4 digit numbers n have the property that the 3 digit number obtained by removing the leftmost digit is one ninth of n
Tom [10]

Answer:

  7

Step-by-step explanation:

We want to find the number 4-digit of positive integers n such that removing the thousands digit divides the number by 9.

__

Let the thousands digit be 'd'. Then we want to find the integer solutions to ...

  n -1000d = n/9

  n -n/9 = 1000d . . . . . . add 1000d -n/9

  8n = 9000d . . . . . . . . multiply by 9

  n = 1125d . . . . . . . . . divide by 8

The values of d that will give a suitable 4-digit value of n are 1 through 7.

When d=8, n is 9000. Removing the 9 gives 0, not 1000.

When d=9, n is 10125, not a 4-digit number.

There are 7 4-digit numbers such that removing the thousands digit gives 1/9 of the number.

8 0
2 years ago
Change 0.7 to a common fraction
madam [21]
0.7 =  \frac{7}{10}
4 0
3 years ago
Read 2 more answers
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