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igor_vitrenko [27]
4 years ago
15

use a method of completing the square in order to rewrite the function f(x)=x^2+5x-2 in vertex form, f(x)=a(x-h)^2+k where (h,k)

is the vertex of the parabola.
Mathematics
1 answer:
yuradex [85]4 years ago
6 0
      f(x) = x² + 5x - 2
f(x) + 2 = x² + 5x - 2 + 2
f(x) + 2 = x² + 5x
f(x) + 2 = x(x) + x(5)
f(x) + 2 = x(x + 5)
      f(x) = x(x + 5) - 2
   (h, k) = (-5, 2)
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ILL BRAINLIEST YOU PLEASE HELP ME PLEASE HELP ME
frozen [14]
X is equal to 3. Since the triangle is a 30-60-90 triangle, the hypotenuse is 2x, the side length opposite of 60 degrees is xsqrt3, and the length opposite of 30 degrees is x.
6 0
3 years ago
Help i’ll give brainliest
mash [69]

Answer:

It will cost $36.38 to travel 8.9 miles.

Step-by-step explanation:

In order to get how much it will cost to travel 8.9 miles, you need to first set up a linear equation (in slope-intercept form, which is y=mx+b ). You can do this with what the problem has given us. Since there's a flat fee of $3, that is the y-intercept or the b slope-intercept form. Then there is $3.75 added for every additional mile traveled, making it the slope or the m in slope-intercept form. That makes the equation look like:

y=3.75x+3

The x in that equation represents how far you traveled. Therefore in order to find out 8.9 miles, plug in 8.9 for x.

y=3.75(8.9)+3

Simply solve the equation and you will have how much it will cost to travel 8.9 miles.

y=33.375+3

Now add the like terms:

y=36.375

Since it needs to be rounded to the nearest cent, you will round to the nearest tenth:

y=36.38

Therefore, it will cost $36.38 to travel 8.9 miles.

6 0
3 years ago
Write
marysya [2.9K]

Step-by-step explanation:

the slope= (-11+3)/(1+3) = -8/4 = -2

the equation:

y +3 = -2(x+3)

y+3=-2x-6

y= -2x -6-3

y = -2x -9

5 0
3 years ago
the supplement of an angle is twenty-four degrees less than five times the angle find the measure of the angle
jok3333 [9.3K]

Answer:

The measure of the angle is 34 deg.

Step-by-step explanation:

Let the angle measure = x

"the supplement of an angle is twenty-four degrees less than five times the angle"

The supplement's measure is 5x - 24

The measures of supplementary angles is 180 deg.

x + 5x - 24 = 180

6x - 24 = 180

6x = 204

x = 34

Answer: The measure of the angle is 34 deg.

5 0
3 years ago
Help would be more then appreciated
BartSMP [9]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
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