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tekilochka [14]
4 years ago
10

How are the solutions to the inequality -2x ≥ 10 different from the solutions to -2x > 10?

Mathematics
1 answer:
CaHeK987 [17]4 years ago
4 0

Answer:

First lets find the solutions to each inequality.

-2x\geq \\10 and -2x>10 (divide both sides by -2 to solve)

x\leq-5 and x<-5

x\leq-5 tell us that x could be -5 or less.

x<-5 tells us that x could be -6 or less.

The first one is less than or equal to which tells you that there is a possibility that the number is shows is could be an answer

Hope this helps ;)

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A watermelon is launched from a 25-foot tall platform at a carnival. The watermelon's height h (in feet) at time t seconds can b
Nataly [62]

Answer:

The maximum height of the watermelon is 74 feet.

Step-by-step explanation:

The watermelon reaches its maximum height when its velocity is zero. Mathematically speaking, velocity is the first derivative of the function height, that is:

v(t) = \frac{d}{dt} h(t) (1)

Where v(t) is the velocity, in feet per second.

If we know that h(t) = -16\cdot t^{2}+56\cdot t +25 and v(t) = 0\,\frac{ft}{s}, then the time associated with maximum height is:

v(t) = -32\cdot t +56 (2)

-32\cdot t + 56 = 0

t = 1.75\,s

Now we evaluate the function height at time found in the previous step: (t = 1.75\,s)

h(t) = -16\cdot t^{2}+56\cdot t +25

h(1.75) = 74\,ft

The maximum height of the watermelon is 74 feet.

5 0
3 years ago
Find the value t if the value of 3x + 5x – 2t equals to 8, when x = -1 .
Evgesh-ka [11]

Step-by-step explanation:

3x + 5x - 2t = 8

3 . (-1) + 5 . (-1) - 2t = 8

-3 - 5 - 2t = 8

-8 - 2t = 8

-2t = 8 + 8

-2t = 16

t = 16/-2

t = -8

<h3>#CMIIW</h3>
5 0
3 years ago
Jay bought a guitar on sale at 45% off. The original price was $576.75.
topjm [15]

Answer:

317.21 (sales price)

259.53 (discount amount)

Step-by-step explanation:

First, we need to divide.

576.75/100=5.7675 (note that I will be rounding at the end)

5.7675 x 55 (100-45) = 317.2125

Rounds to: 317.2<u>1</u>

<u></u>

Now, we need to find the discount amount.

 576.75

-317.21

=259.53

6 0
3 years ago
Please help!!!! I domt know how to do this​
Tcecarenko [31]

Answer:

the answer for the blank is 2

Step-by-step explanation:

6 0
3 years ago
15. True or False: Is x = 4 a solution to X + 51 = -9<br> True<br> False
lora16 [44]

Answer:

False

Step-by-step explanation:

if x=4 the answer would not be -9

x+51 would add up to 55

so it would be : 4+51=55

now if we wanted the answer to be -9 , x would have to be different

-60+51=-9

but in this case x is no -60, it's 4, so no this statement is false.

4 0
3 years ago
Read 2 more answers
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