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Mademuasel [1]
3 years ago
12

Write the equations of the second degree in the reduced form.

Mathematics
1 answer:
EastWind [94]3 years ago
3 0
Move all to one side, make other side zero, and I like x^2 term to be positive

5-11x^2=-8x
add -5+11x^2 to both sides
0=11x^2-8x-5


4+3x=-x^2+2
add x^2-2 to both sides
x^2+3x+4+2=0
x^2+3x+6=0


x(x+2)=-5
add 5 to both sides
x(x+2)+5=0
x^2+2x+5=0


(2x-1)^2=1
expand
(2x-1)(2x-1)=1
4x^2-2x-2x+1=1
minus 1 from both sides
4x^2-4x=0
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bearhunter [10]

Answer:

A

Step-by-step explanation:

We can plug in all of the x and y values to check if the point is a solution to the inequality.

Point A: x = 1, y = 7

7 > |1| + 5

7 > 1 + 5

7 > 6

This is a true statement, which means that this point is a solution to the inequality. We don't have to check any more points since we have found our answer.

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3 years ago
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The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri
SOVA2 [1]

For this case we have a function of the form:

y = A * (b) ^ x

Where,

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b: growth rate

x: number of hours

Since the diameter is double every hour, then:

b = 2

We must now look for the value of A.

To do this, we evaluate an ordered pair of the graph:

For (1, 2):

2 = A * (2) ^ 1

Clearing A we have:

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Then, the function is given by:

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y = 512

6 0
3 years ago
Please help! I’m not sure what order they go in! (7th grade math)
avanturin [10]

Answer:

30: -5, -2, | 2 |, | 3 |, 8

    31: -7, -6, | 5 |, | -6 |, 8

32: -12, | 10 |, | -12 |, | -15 |, | -26 |

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Step-by-step explanation:

The absolute value turns a negative function into a positive one.

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If it is positive, it stays the same.

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