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olchik [2.2K]
3 years ago
6

What is the vertex of the function f(x) = x2 + 3x + ?

Mathematics
1 answer:
guapka [62]3 years ago
5 0

The vertex of the function is at x = -3/2. We cannot find the y value with an incomplete equation.


To find the x value of a vertex, we use the equation -b/2a, in which a is equal to the coefficient of x^2 (in this case 1) and b is equal to the coefficient of x (in this case 3).


-b/2a

-3/2(1)

-3/2


This gives us that value. To find the y value, you would plug this into the equation. Since this equation is not complete, you cannot do that yet.

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• 6x – 15y = 15<br> y=2 x - 1<br> 5
yuradex [85]

Answer:

Slope=  

2.000

0.800

​  

=0.400

x−intercept=  

2 /5

​  

=2.50000

y−intercept=  

−5 /5

​  

=  

−1

1

​  

=−1.00000

Step-by-step explanation:

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  6x - 15y - 15  =   3 • (2x - 5y - 5)  

Equation at the end of step

1

:

STEP

2

:

Equations which are never true

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   2x-5y-5  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-5y-5  = 0 and calculate its properties

8 0
3 years ago
A baseball player throws a ball from second base to home plate. How far does the player throw the ball?
Fynjy0 [20]

Answer:

The player throws 127.3 ft from second base to home plate.

Step-by-step explanation:

Given:

Distance from home to first base = 90 ft

Distance from first base to second base = 90 ft

We need to find the distance from second base to home.

Solution:

Now we can assume the complete scenario to be formed as a right angled triangle with two sides given and to find the third side.

Now by using Pythagoras theorem which states that;

Square of the hypotenuse side is equal to sum of squares of other two sides.

framing in equation form we get;

distance from second base to home = \sqrt{90^2+90^2}= 127.27 \ ft

Rounding to nearest tent we get;

distance from second base to home = 127.3 ft

Hence The player throws 127.3 ft from second base to home plate.

6 0
3 years ago
Ed wants to buy a new video game system which costs $250. he has
BARSIC [14]

The required equation is <u>135 + 9x > 250</u>.

The number of lawns Ed must mow is assumed to be x.

The amount Ed charges for each lawn he mows is $9.

Thus, the total amount Ed earns by mowing x lawns = $9x.

The savings which Ed has is $135.

Thus, the total amount Ed will have to spend can be written as the expression, $(135 + 9x).

The cost of the video game is given to be $250.

We are asked to write an equation, that can be used to find the number of lawns Ed mow, that is x so that the amount Ed has will be more than the amount he needs to buy the video game.

This can be shown as the equation:

Total amount Ed has > Cost of the video game,

or, 135 + 9x > 250.

Thus, the required equation is <u>135 + 9x > 250</u>.

Learn more about writing equations at

brainly.com/question/25235995

#SPJ1

3 0
1 year ago
Topic 9 Review
Lesechka [4]
Merry Christmas and a happy new year
3 0
3 years ago
PLEASE HELP WILL MARK BRAINLY
mash [69]

Answer:

250 girls

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

8 0
3 years ago
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