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Stella [2.4K]
3 years ago
8

Solve |x| > 3 a. {-3, 3} b. {x|x < -3 ∪ x > 3} c. {x|x < -3 ∩ x > 3}

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

b

Step-by-step explanation:

as modulus lie outside the number given

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PLS PLS HELP, I DONT WANT TO FAIL!!
Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

<u>Given quadratic functions</u>:

\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}

To find the time, in seconds, that the balloons collided at the highest point, <u>substitute</u> one equation into the other equation and rearrange to <u>equal zero</u>:

\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}

<u>Factor</u> the quadratic:

\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}

Apply the <u>zero-product property</u> to solve for x:

\implies (x-1)=0 \implies x=1

\implies (x-2)=0 \implies x=2

Therefore, the balloons collided at 1 second and 2 seconds.  

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

f(1)=-6(1)^2 +23(1)+5=22

f(2)=-6(2)^2 +23(2)+5=27

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

8 0
1 year ago
Read 2 more answers
the length of a rectangular parking lot at the airport is 2/3 is mile.if the area is 1/2 square mile,what is the width of the pa
ch4aika [34]

Answer:

3/4

Step-by-step explanation:

3/4*2/3+1/2

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3 years ago
Solve the equation. –x – 7 = 16 –23 8 22 –9
Svetradugi [14.3K]

Answer:

x = - 23

Step-by-step explanation:

Given

- x - 7 = 16 ( Isolate - x by adding 7 to both sides )

- x = 23 ( multiply both sides by - 1 )

x = - 23

4 0
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