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allochka39001 [22]
3 years ago
6

Consider the inequality -5(x+7) <-10. write an inequalityrepresenting the soulution for x.

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

x > -5

Step-by-step explanation:

You multiply both sides by -1

Simplify

Divide both sides by 5

Simplify

Subtract 7 from both sides

Simplify

Please give me BRAINLIEST and THANKS lol <( ̄︶ ̄)>

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The graph of the function f(x) = (x – 4)(x + 1) is shown below. On a coordinate plane, a parabola opens up. It goes through (neg
DanielleElmas [232]

Answer:

The function is decreasing for all real values of x where x < 1.5.

Step-by-step explanation:

we have

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

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

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

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the point (1.5,-6.25)

we know that

The function is decreasing in the interval ----> (-∞,1.5)  x < 1.5

That means----> the function is decreasing for all real values of x less than 1.5

The function is increasing in the interval ----> (1.5,∞)  x> 1.5

That means----> the function is increasing for all real values of x greater than 1.5

see the attached figure to better understand the problem

therefore

The statement that is true is

The function is decreasing for all real values of x where x < 1.5.

5 0
4 years ago
Read 2 more answers
2 3 − 5 6 ·8<br><br> Simplify.
Helga [31]

Answer:

-1.33 and so on

Step-by-step explanation:

Take each fraction and plug it into a calculator. 2/3 is really 2 divide by 3. Same with the 5 and 6. You should get 0.67 and so on for 2/3 and 0.83 and so on for the 5/6. Subtract as shown in the problem. You should get 0.67-0.83= -0.1666 so on. Multiply by 8 to get -1.33 and so on. The "and so on" means this decimal is repeating. Hope this Helps!

5 0
3 years ago
Read 2 more answers
What is the value of s?<br>____ units
vagabundo [1.1K]
ABD is the right triangle. AD is the hypotenuse.
By the <span>Pythagorean theorem:

</span>AD^2=AB^2+BD^2=8^2+15^2=64+225=289 \\  \\ AD= \sqrt{289}=17   \ units
<span>
s = 17 units.</span>
7 0
4 years ago
Read 2 more answers
Plz help! I’m super confused! Thank you!
GREYUIT [131]

Answer:

Step-by-step explanation:

7 0
3 years ago
Here are 100 seats on an airplane, and each of 100 passengers has a ticket for a different seat. The passengers line up to board
Kryger [21]

Answer:

There are 1% probability that the last person gets to sit in their assigned seat

Step-by-step explanation:

The probability that the last person gets to sit in their assigned seat, is the same that the probability that not one sit in this seat.

If we use the Combinatorics theory, we know that are 100! possibilities to order the first 99 passenger in the 100 seats.

LIke we one the probability that not one sit in one of the seats, we need the fraction from the total number of possible combinations, of combination that exclude the assigned seat of the last passenger. In other words the amount of combination of 99 passengers in 99 seats: 99!

Now this number of combination of the 99 passenger in the 99 sets, divide for the total number of combination in the 100 setas, is the probability that not one sit in the assigned seat of the last passenger.

P = 99!/100! = 99!/ (100 * 99!) = 1/100

There are 1% probability that the last person gets to sit in their assigned seat

7 0
3 years ago
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