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3 years ago

What is the difference between the two inequalities? Explain.

Mathematics

1 answer:

iris [78.8K]3 years ago

8 0

Answer:

One includes 3 as a solution, one excludes it.

Step-by-step explanation:

Think about the difference between the phrase "they were shorter than me" and the phrase "they were no taller than me." In the first one, we're implying that this other person can't be as tall as you; their height has to be less than yours. In the second, we're allowing for the posibility that this person's height matches yours. x < 3 describes that first kind of scenario, while x ≤ 3 describes the second.

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Will mark you as brainliest. If your good with polynomials.

kobusy [5.1K]

To solve/simplify this all you have to do is group like terms (the x^2's with each other, the x's with each other, and the normal numbers, -8)

14x^2-8+5x-6x^2+2x

group the x^2 (add 14x^2 to -6x^2)

8x^2-8+5x+2x

group the x's together (add 5x and 2x together)

8x^2+7x-8

Your answer will be d) 8x^2+7x-8

4 0

4 years ago

PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

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

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

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

Factor 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 zero-product property 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

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2 years ago

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I would really like to have some help and know how to do this

NISA [10]

If K=C+273.15
and in a. C=200° then K=200+273.15

8 0

3 years ago

Suppose that you flip a coin 40 times and count the number of heads. 1.1. What is the distribution of the number of heads assumi

dangina [55]

Answer: You would get 20 heads and 20 tails.

Explanation: Assuming that the coin is fair which you said it is, then you can also assume that there’s a 1/2 probability of getting heads each time you flip it and tails each time you flip it. So since you flipped it 40 times, you would assume to get heads 20 times and tails 20 times.

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3 years ago

Is (1, 13) a solution to this system of equations? y = 8x + 5 y = 13 Yes or No

yawa3891 [41]

Yes, that is a solution to the system.

8 0

2 years ago

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