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3 years ago

Julio says "If you subtract 13 from my number and multipy the difference by -3 the result is -45" what is Julio's number

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

6 0

Answer:28

Step-by-step explanation:

Julio's number is x

(X-13)*-3=-45

Divide by -3

X-13=15

Add13 to both sides

x=28

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

iris [78.8K]

Answer:

t = 15.42 s

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

$y=-16x^2+242x+73$

We ned to find the time when the rocket will the ground. For this, y = 0

$-16x^2+242x+73=0$

It is a quadratic equation whose solution is given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here, a = -16, b = 242 and c = 73

$x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s$

Neglecting negative value.

So, it will hit the ground in 15.42 s.

5 0

3 years ago

Solve the inequality. Show your work. |4r + 8| ≥ 32

saw5 [17]

|4r + 8| ≥ 32

4r + 8 ≥ 32 or 4r + 8 ≤ -32 inside of absolute value could be + or -

4r ≥ 24 or 4r ≤ -40 subtracted 8 from both sides

r ≥ 6 or r ≤ -10 divided both sides by 4

Graph: ←---------------- -10 6 ------------------→

Interval Notation: (-∞, -10] U [6, ∞)

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3 years ago

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when the base of a ladder is placed 10ft away from the base of a building, the top of the ladder touches the building at 18ft ab

Vikki [24]

35 feet i think i’m not sure

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2 years ago

Express as ratio 52 minutes to 2 hours

just olya [345]

Answer:

52:120

Step-by-step explanation:

1 hour = 60 minutes.

2 hours = 120 minutes.

Answer: 52 : 120

Hope this helps!

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Evaluate the expression for a = 14, b = 29, c = 1, d = 1: a + b - C-d

grandymaker [24]

Answer:

Solution,

a=14

b=29

c=1

D=1

Now,

 $a + b - c - d \\ = 14 + 29 - 1 - 1 \\ = 43 - 1 - 1 \\ =42 - 1 \\ = 41$ 

hope this helps...

Good luck on your assignment...

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3 years ago

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