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yulyashka [42]
3 years ago
7

PLEASE HELP THIS IS URGENT

Mathematics
2 answers:
Lisa [10]3 years ago
6 0
X= 1, x = 5

-3|x - 3| = -6
———— —– divide both sides by -3
-3 -3 and remove the bars

x - 3 = 2
+3 +3
—————
x = 5⭐️

-3|1-3|➡️-3|-2|= -6
ICE Princess25 [194]3 years ago
4 0

Answer:

A. x = 1, x = -1

Step-by-step explanation:

Given the inequality

−3|x − 3| = −6

The equation will give us two solutions due to the nodulus sign. The modulus sign means that the function x- 3 can take both positive and negative value.

If |x-3| is positive, we have:

-3(x+3) = -6

-3x-9 = -6

Moving -9 to the other side:

-3x = -6-(-9)

-3x = -6+9

-3x = 3

x = 3/-3

x = -1

Similarly if |x-3| is negative, we have:

-3{-(x-3)} = -6

-3(-x+3) = -6

3x-9 = -6

3x = -6+9

3x = 3

x = 3/3

x = 1

The solutions are x = -1 and x = 1

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suppose a parabola has an axis of symmetry at x=-2, a maximum height of 8, passes through the point (-6, 2). Wrire the equation
Virty [35]

Answer:

y = -3/8(x + 2)^2 + 8

Step-by-step explanation:

vertex form is

y = a(x - b)^2 + c     where a is a constant and (b,c) is the vertex.

The maximum is at (-2, 8)  because x 8 = height and x =-2 is equn. of symmetry

So here we have

y = a(x - (-2))^2 + 8

y = a(x + 2)^2 + 8

Now at the point (-6, 2):

2 = a(-6+2)^2 + 8

2 = 16a + 8

16a = -6

1 = -3/8.

So our equation is y = 3/8(x + 2)^2 + 8

3 0
3 years ago
Convert the standard equation to vertex form.<br> f(x) = 3x^2+ 18x – 7
natima [27]
Find the vertex form Y=3(x+3^2-34
5 0
2 years ago
Please help ASAP thanks
hjlf

Answer:

x = 2.5 inches. Or

x = 5/2

Step-by-step explanation:

Length: 7 + 2x

Width: 5 + 2x

Note that you have to add x at each end of the picture and onto each part of the width.

The entire area is 120 square inches.

Formula

L*W = Area

(2x + 7)(2x + 5) = 120

Solution

4x^2 + 10x + 14x + 35 = 120                Subtract 120 from both sides. Add xs

4x^2 + 24x + 35 - 120 = 0

4x^2 + 24x - 85 = 0                             Factor

(2x + 17)(2x - 5)

2x + 17 has no meaning. It will give -  8.5 which is not possible.

2x - 5 =0

2x = 5                                                  Divide by 2

x = 5/2

x = 2.5

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