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Vlada [557]
2 years ago
12

The vertex of y=x^2+12x+32

Mathematics
1 answer:
ollegr [7]2 years ago
7 0

Answer:

The vertex is y=-4

Step-by-step explanation:

The vertex is the minimum point of the graph of the quadratic equation.

Let's first find the like of symmetry.

dy/dx=2x+12

2x+12=0

2x=-12

x=-6

Now plug -6 into the quadratic equation

y=(-6)²+12(-6)+32

y=-4

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What is
Sergeeva-Olga [200]

Answer:

Standard form of the equation is:

∴ 3x+y=23

Step-by-step explanation:

Given equation:

y-2=-3(x-7)

To convert the given equation to standard form of equation:

A(x)+B(y)=c

Using distribution.

y-2=(-3x)+(-3\times-7)

y-2=-3x+21

Adding 2 both sides.

y-2+2=-3x+21+2

y=-3x+23

Adding 3x to both sides.

3x+y=3x-3x+23

∴ 3x+y=23

6 0
3 years ago
Which techniques can be used to evaluate the expression 12.75 = 1.5? Select all that apply.
n200080 [17]
What is the apply??? Put all of the select all that apply so I can help you
8 0
2 years ago
A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not what is the cost for
charle [14.2K]

Answer:

Incomplete question

Complete question;

A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not.

Another group of golfers consists of two members and one nonmember. They paid a total of $75. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?

Answer: X = $82.695 for members

Y = $49.615 for non members

Step-by-step explanation:

Let's use X to denote members and Y for non-members.

Therefore, amount paid by one member to play + amount paid by 7 non-members to play = 430

X + 7Y = 430. . .1

Amount paid by 2 members to play + amount paid by one non-member to play = 215

2X + Y = 215. . .2

Solving both equations simultaneously

X+7Y = 430

2X +Y = 215

Therefore, from eqn 1. X = 430-7y

Substituting this into wan 2 gives

2(430-7Y) + Y = 215

860-14Y + Y = 215

860-215 =13Y

645 = 13y

Y = 49.615

Therefore substituting Y = 49.615 into any equation above

X + 7(49.615) = 430

X = 430-347.05

X = 82.695

3 0
3 years ago
Can Someone Help REAL QUICK Me. ? Please
bagirrra123 [75]

Answer: Option 3

Step-by-step explanation:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.

I hope this helps.

5 0
3 years ago
4x-y=20 and -2x-2y=10
lara31 [8.8K]

You can use Substitution to solve this problem:


4x-y=20

-y=-4x+20

y=4x-20


Now you have two equations, and you use the first one to substitute into the second one.


y=4x-20     and     -2x-2y=10


-2x-2(4x-20)=10

-2x-8x+40=10

-10x+40=10

-10x=-30

-x=-3

x=3


Now that we have figured out what x is, we can substitute x in to one of the equations to figure out y.


4x-y=20       x=3

4(3)-y=20

12-y=20

-y=8

y=-8



<em><u>So your answer would be x=3 and y=-8</u></em>

6 0
2 years ago
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