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lana [24]
3 years ago
9

What is the vertex of the graph y = x^2 + 6x - 5 ?

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0
Given:  <span>y = x^2 + 6x - 5.  Then a = 1, b = 6 and c = -5.

The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.

Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:

y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14

Then the vertex is (-3, -14).</span>
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(4, -2), y = –2x + 3<br><br> PLS HELP HOW DO I DO THIS?
Alex787 [66]

It looks like your instructor wants you to write in point-slope form.

the equation for point slope form is quite simple

y-y1=m(x-x1)

your variables:

y and x: just state these as they are

m: slope

y1 and x1: the numbers in the point given

keep in mind a double negative equals a positive, so when you come across a negative coordinate you would put + instead of - in your equation.

your final answer would be

y+2=-2(x-4)

I hope this helped :)

please don't hesitate to ask if you have any more questions

3 0
2 years ago
The graph shows the probability distribution of a random variable.
Natasha2012 [34]
The answer is 0.50.

P(4<=X<=8)=P(x=4)+ P(x=5)+ P(x=6)+ P(x=7)+ P(x=8)= 0.05+ 0.15+0.15+0.15 +0 = 0.50

Notice that in 8 the line touches the x axis so it’s corresponding probability is 0.
5 0
2 years ago
Using the Addition Method, find the value of x in the
allochka39001 [22]

Step-by-step explanation:

3x+2y=2------------1

-3x+5y=5-----------2

adding 1 and 2 we get

7y=7

y=1

and from (1),we get

3x+2×1=2

3x=0

x=0 is the required value of x.

8 0
3 years ago
-4x - 6x = -20 =?<br><br> -3(2x - 3) = 33 = ?<br><br> 4x + 3x + 2x = 180 = ?
postnew [5]

Answer:

-4x-6x=-20=

x=2

-3(2x-3)=33=

x=-4

4x+3x+2x=180

x=20

Step-by-step explanation:

-4x-6x=-20                                

-4+(-6)=-10x

-10x=20 (divide both by 10)

x=-2 (divide by -1 to get positive)

x=2

-3(2x-3)=33

-6x+9=33

     -9 .  -9

-6x=24 (divide both by -6)

x=-4 (divide by -1 to make positive)

4x+3x+2x=180

(combine like terms)

9x=180 (divide both sides by 9)

x=20

5 0
2 years ago
Simplify the given expression, using only positive exponents. then complete the statements that follow. [ (x2y3)−1 (x−2y2z)2 ] 2
PolarNik [594]
[(x**-2) y**2 .z)**2]**2        (x**-8)(y**8)(z**4)
----------------------- =        ----------------------------- 
[x**2 . y**3]**2                   (x**4) (y**6)


     (y**8)(z**4)            (y**2)*(z**4)
    --------------------- = -------------
    (x**12) (y**6)             (x**12)

7 0
3 years ago
Read 2 more answers
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