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ololo11 [35]
3 years ago
9

What equation represents y=2x^2+24x+85 in vertex form

Mathematics
1 answer:
Andrej [43]3 years ago
8 0
Y=a(x-h)^2+k

vertex form is basically completing the square

what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway

y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13

vertex form is
y=2(x+6)^2+13
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HURRRRYYY <br>Hurry pleaseee use elimination show your work <br><br><br>15y - 9x =-9 -8y+9x=12
Nastasia [14]
Add the two functions together to get

7y=-3
y=-3/7

Then plug in y to either function to solve for x, I’ll just use the left one

15(-3/7)-9x=-9
-45/7-9x=-9
-9x=-18/7
x=18/7/9

x=2/7
6 0
2 years ago
Factor 4x^2 + 1x – 13
bulgar [2K]

Answer:

(x - \frac{\sqrt{209} - 1}{8} )(x - \frac{-1 - \sqrt{209} }{8} )

Step-by-step explanation:

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

<em>Quadratic Formula :-</em>

Lets say , there's an equation ax² + bx + c.

=> x = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \: or \: \frac{-b - \sqrt{b^2 - 4ac} }{2a}

<u>SOLUTION :-</u>

According to the question ,

  • a (Coefficient of x²) = 4
  • b (Coefficient of x) = 1
  • c (constant) = -13

By using quadratic formula ,

x = \frac{-1 + \sqrt{1^2 - 4 \times 4 \times (-13)} }{2 \times 4} \: or \: \frac{-1 - \sqrt{1^2 - 4 \times 4 \times (-13)} }{2 \times 4}

=> x = \frac{-1 + \sqrt{209} }{8} \: or \: \frac{-1 - \sqrt{209} }{8}

=> (x - \frac{\sqrt{209} - 1}{8} ) \: and \: (x - \frac{-1 - \sqrt{209} }{8} ) are the factors of 4x² + x - 13.

6 0
3 years ago
The sum is greater than 6+4=10 and less than 8+5=13 its doubles facts the equation looks like this_+_=_?
umka21 [38]
The equation is 6+6=12
5 0
3 years ago
An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
denis23 [38]

Answer:

  a) gallons

  b) gallons

Step-by-step explanation:

<h3>a)</h3>

1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.

__

<h3>b)</h3>

Of the units listed, only <em>teaspoons</em> and <em>gallons</em> are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.

7 0
3 years ago
Can you please help me with number 15
Vinil7 [7]

Answer:

142.25 miles

Step-by-step explanation:

239- 96.75

142.25

6 0
3 years ago
Read 2 more answers
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