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3 years ago

-2|x+5| =8 can you plz help me!!

Mathematics

2 answers:

Kitty [74]3 years ago

7 0

Answer:

the answer is here

plz mark as brainlist

Step-by-step explanation:

-2x-10=8

-2x=8+10

X= -18/2

hence X= -9

kkurt [141]3 years ago

3 0

Answer:

Step-by-step explanation:

First, |x| = x when x >= 0 and |-x| = x when x < 0.

So,there are two ways to solve this equation -2|x + 5| = 8.

In the 1st case, let's assume (x + 5) >= 0

=> |x + 5| = x + 5

=> -2(x + 5) = 8

=> x + 5 = 8 / -2 = -4

=> x = -4 - 5 = -9

In the 2nd case, let's assume (x + 5) < 0

=> |x + 5| = -(x + 5) = -x - 5

=> -2 (-x -5) = 8

=> (-x -5) = -4

=> -x = 1

=> x = -1

These are the 2 solutions by solving the math in two different ways.

I hope this helps.

Let me if you have any more questions.

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Answer:

Step-by-step explanation:

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4 years ago

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Marizza181 [45]

Answer:

Answers are in bold

Step-by-step explanation:

Part 1A

Use the Zero Product Property to find the x-intercepts:

0=-(x+4)(x-1)

0=(x+4)(x-1)

0=(x+4)

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For the y-intercepts, plug in x=0:

f(x)=-(0+4)(0-1)

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So the y-intercept is y=4 which is also (0,4)

Part 1B

In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k

For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:

f(x)=-(x+4)(x-1)

f(x)=-(x^2+3x-4)

f(x)=-x^2-3x+4

So now we know a=-1 and b=-3, therefore we can plug them in:

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x=3/-2

x=-3/2

x=-1.5

So the equation of the axis of symmetry is x=-1.5

Part 1C

We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:

f(x)=-(-1.5+4)(-1.5+1)

f(x)=-(2.5)(-0.5)

f(x)=-(-1.25)

f(x)=1.25 <-- y-coordinate

So the coordinates of the vertex are (-1.5,1.25)

Part 1D

See the image below

I'll let someone else do the last 4 questions as I am unable to answer them.

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