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nata0808 [166]
3 years ago
12

Write in standard form. y=-(x-3)^2+2

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0

Answer:

y=x2+6x+9+2=x2+6x+11

Step-by-step explanation:

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Step 1

Given;

x+3y\leq6

Required; To graph the inequality

Step 2

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\begin{gathered} We\text{ find the y-intercept by setting x=0} \\ 0+3y\leq6 \\ y\leq2 \\ First\text{ point\lparen0,2\rparen} \end{gathered}\begin{gathered} We\text{ find the x-intercept by setting y=0} \\ x+3(0)\leq6 \\ x\leq6 \\ Secon\text{d point;\lparen6,0\rparen} \end{gathered}

So by finding the x-intercept and y-intercept, we can determine where to draw the line. Since the inequality is greater than or equal to the line will be continuous and not broken. Also, we will know the area we will shade by;

\begin{gathered} Resolving\text{ the inequality and make y the subject of the formular} \\ x+3y\leq6 \\ 3y\leq6-x \\ y\leq2-\frac{x}{3} \end{gathered}

Since if we set x=0, we get y < or equal to 2, then we know that the shaded area will be where y is equal to and below. There we will shade below the point (0,2) to represent the solution set.

8 0
1 year ago
Help me quick with this answer
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Step-by-step explanation:

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3 years ago
Three times the quantity of seven less than a number is five
ivanzaharov [21]
The equation is 3(7-x)=5 and the answer is
x= 16/3
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4 years ago
What is -7/9 x 3/5<br> PLEASE HELP
Liula [17]
Your answer would be -7/15
5 0
4 years ago
Read 2 more answers
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Mazyrski [523]

Answer:

10 combinations are possible.

Step-by-step explanation:

We know that there are 5 different colors so we already have 5 options. Then  for each one of the 5 colors you can choose one of the two motors which means that there is 2 combinations with each color. Now that we know that for each color option there is 2 combinations and there is 5 color options, we just multiply them and get........

5 x 2 = 10

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3 years ago
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