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lianna [129]
2 years ago
6

Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?

Mathematics
1 answer:
Ber [7]2 years ago
5 0

Answer:

x^2 + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

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Given the function graphed below, what is the average rate of change between f(3) and f(7)?
Shkiper50 [21]
Answer: choice D) 20

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

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20

The slope of the line is 20, so therefore, the average rate of change is 20.

6 0
3 years ago
I need help..... please
Bogdan [553]

Answer:

Step-by-step explanation:

I would say Town residents

5 0
2 years ago
If correct I will give brainly​
Marizza181 [45]

Answer:

B

Step-by-step explanation:

all you need to do is switch the x with 12

5 0
3 years ago
10.5 equal or less than 10.005
maksim [4K]
10.5 is more than 10.005
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3 years ago
An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.
san4es73 [151]
The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon.  You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner.  An equilateral triangle has 60 degree angles (180/3).  The right triangle has half of one of those angles so 30 degrees.  Now we have a 30-60-90 triangle where the short leg is 5cm.  The long leg, which is also half of one side of the triangle is thus 5\sqrt{3}.  A whole side of the triangle is 10\sqrt{3}.  Multiply that by 3 to get the perimeter of <span>30\sqrt{3}.</span>
4 0
3 years ago
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