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Deffense [45]
3 years ago
14

Write y=2x^2-12x+16 in vertex form

Mathematics
1 answer:
leva [86]3 years ago
8 0

Answer:

y = 2(x - 3)^{2} - 1

Step-by-step explanation:

y = 2x^{2} - 12x + 16  

y = 2(x^{2} - 6x + 8)        ( Factor out 2 )

y + 9= 2(x^{2} - 6x + 9) + 8 ( Complete the square (\frac{-b}{2} )^{2} ) Add 9 both sides  

y + 9 = 2 (x - 3)^{2} + 8      (Subtract 9 each side)  

y = 2 (x - 3) ^{2} - 1         ( simplify )

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Find the quotient of 4/7 and 3/5
fiasKO [112]

Answer:

20/21

Step-by-step explanation:

Hello,

so we first of all cannot actually divide the fractions but we can use a strategy I have learned called stay, change, flip.

Basically you keep the first fraction the same, change the division sign to a multiplication sign and flip the second fraction.

so for this problem, we would keep the 4/7 the same, change the division sign to a multiplication sign, and flip the 3/5 over to make 5/3. We then would multiply this out, and get 20/21.

Hope this helped! ☻

5 0
4 years ago
A biologist determines that the path of a bee from its hive to its foraging site can be described by the parametric equations x-
mote1985 [20]
The correct parametric equations are:

x=4t-1 \\  \\ 
y=2t^{2}+3t-4

From first equation, we can write the value of t in terms of x to be:

t= \frac{x+1}{4}

Using this value of t in equation of y, we get:

y=2( \frac{x+1}{4} )^{2}+3( \frac{x+1}{4} )-4 \\  \\ 
y=2( \frac{ x^{2} +2x+1}{16} )+ \frac{3(x+1)}{4} -4 \\  \\ 
y= \frac{ x^{2} +2x+1}{8}+ \frac{3(x+1)}{4}-4 \\  \\ 
y= \frac{ x^{2} +2x+1+6x+6-32}{8}  \\  \\ 
y= \frac{ x^{2} +8x-25}{8}

Thus, the curve in option C is described by the given parametric equations.

6 0
4 years ago
Read 2 more answers
B3BB
skad [1K]

Answer:

C is correct

Step-by-step explanation:

Firstly, we have to solve for x in the solution set of the inequality

We have this as follows;

x + 2 ≥ 6

x ≥ 6-2

x ≥ 4

To graph this, we consider the middle sign which is greater than or equal to

So, the inequality sign has to face the right side

secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol

so, the correct answer here is option C

6 0
3 years ago
PLEASE HELP ME I'M HAVING A TERRIBLE DAY AND MY MATH IS DUE IN 2 HOURS AND ALL I NEED IS THIS
Margarita [4]

Answer:

84

Step-by-step explanation:

8 0
3 years ago
Image has question, please answer.
Mazyrski [523]

Answer:

5

Step-by-step explanation:

trust me its five

7 0
3 years ago
Read 2 more answers
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