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Dovator [93]
3 years ago
5

Solve the inequality 5y+16<_56

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0

Answer:

y=8

Step-by-step explanation:

5y+16<56 collect like terms

5y<56-16 subtract

5y<40. Divide both sides by 5

y=8

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Plssssss help fast!!!!Launching From a Tower
aleksandrvk [35]

Answer:

A. h = 64

B.  t = 4 -> 4 seconds

C. t = 1.5 -> 1.5 seconds

D. maximum height is 100 ft

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

Step-by-step explanation:

h = -16t2 + vt + 64

A. What tower platform height was the projectile launched from?

when the projectile was not launched, t = 0

h = -16(0)^2 + v(0) + 64 = 64

B. How long was the projectile in the air?

if the projectile lands, its height = 0 so substitute 0 for h

0 = -16(t)^2 + 48(t) + 64

  = -16(t^2 - 3t -  4)

 = -16(t - 4)(t + 1)

t = 4 or t = -1

Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.

C. When did it reach its maximum height?

maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16

t = -48/-32 = 1.5

D. What was its maximum height?

plug t = 1.5 into -16(t)^2 + 48(t) + 64

-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

6 0
2 years ago
What size is the television screen shown in the illustration? Find if 20 in. and 15 in. ?
serg [7]
12 2 +16 2 = D2

D2= 144+256
D2= 400


D2= 400
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3 years ago
Which relation is a function?
Katen [24]
Each domain of the points can only have one unique range

Which point doesn’t have multiply ranges for a x value?

Solution: A
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3 years ago
(x+2)^2+(x-3)^2-2x^2)
garri49 [273]

Answer:

<u>13 - 2x </u>

Step-by-step explanation:

(x +2)² + (x - 3)² - 2x²

<em>Expand.</em>

(x + 2)(x + 2) + (x - 3)(x - 3) - 2x²

x² + 2x + 2x + 4 + x² - 3x - 3x + 9 - 2x²

<em>Bring all the like terms together then simply.</em>

x² + x² - 2x² + 2x + 2x - 3x - 3x + 4 + 9

2x² - 2x² + 4x - 6x + 13

= <u>13 - 2x</u> (or <u>-2x + 13</u> )

4 0
3 years ago
What's the best careers to do <br>​
PIT_PIT [208]

do computer science or anything law related in college. Don’t do something like zoology because it’ll probably pay like 15$ an hour.

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3 years ago
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