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andre [41]
3 years ago
5

Solve the inequality. Using a verbal statement, in simplest terms, describe the solution of the inequality. Be sure to include t

he terms, “greater than”, “greater than or equal to”, “less than”, or “less than or equal to”. -2x + 3 > 3(2x - 1)
Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0
-2x + 3 > 3(2x - 1)
-2x + 3 > 6x - 3
-2x - 6x > -3 - 3
-8x > - 6
x < -6/-8
x < 3/4.....so the solution is : x is less then 3/4
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Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of 1.5 ft/s. When Graham’s arms a
lidiya [134]

Answer: Hello there!

this type of equations in one dimension (when all the factors are constants) are written as:

h =  initial position +  initial velocity*t + (acceleration/2)*t^2

First, let's describe the hunter's equation:

We know that Graham moves with a velocity of 1.5 ft/s, and when he is  18 ft above the ground, Hunter throws the ball, and because Graham is pulled with a cable, he is not affected by gravity.

If we define t= 0 when Graham is 18 ft above the ground, the equation for Graham height (in feet) is:

h = 18 + 1.5t

where t in seconds.

Now, the equation for the ball:

We know that at t= 0, the ball is thrown from an initial distance of 5ft, with an initial velocity of 24ft/s and is affected by gravity acceleration g, where g is equal to: 32.2 ft/s (notice that the gravity pulls the ball downwards, so it will have a negative sign)

the equation for the ball is:

h = 5 + 24t - (32.2/2)t^2 = 5 + 24t - 16.1t^2

So the system is:

h = 18 + 1.5t

h = 5 +24t - 16.1t^2

so the right answer is A

5 0
3 years ago
A right triangle has legs that are 11 inches and 13 inches long.What is the area of the triangle?
Citrus2011 [14]
Just use your right angled triangle formula.

A=\frac{ab}{2}

Plug n chug 

A=\frac{11*13}{2}
A=71.5 in^{2}
5 0
3 years ago
I need help solving for X and Y
IgorC [24]

Answer:

y = 4 ; x = 4√2

Step-by-step explanation:

This is a 45° 45° 90° triangle meaning the legs will equal each other and the hypotenuse will be equal to the length of the legs times √2.

4 0
3 years ago
(5+3√2)² simplify the following<br>​
madam [21]

Answer:

(5+3\sqrt{2} )^{2} =43+30\sqrt{2}  

≈85.43

Step-by-step explanation:

apply the binomial theorem to the square

=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}

=25+30\sqrt{2} +18\\

=43+30\sqrt{2}

≈85.43

Hope this helps

3 0
2 years ago
Read 2 more answers
Quicky help????????????
sergeinik [125]

Step-by-step explanation:

first bring 87.5 to right

25t=12.5+87.5

25t=100.0

then bring 25 to right so it will divided

t=100.0/25

t=4

putting value of t in 25t-87.5=12.5

25(4)-87.5=12.5

5 0
3 years ago
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